OUTPUT of run 4 of at most 100:
```
QK spectral structure:
L0H0 symmetric energy 0.591 top6 Q/K-subspace overlaps [0.69 0.43 0.38 0.34 0.26 0.14] eigenvalues [(-0.049, 0.0), (0.006, 0.009), (0.006, -0.009), (-0.003, 0.0), (-0.001, -0.002), (-0.001, 0.002), (-0.002, -0.0), (-0.002, 0.0)]
L0H1 symmetric energy 0.45 top6 Q/K-subspace overlaps [0.97 0.96 0.95 0.91 0.82 0.63] eigenvalues [(0.218, -0.345), (0.218, 0.345), (-0.284, 0.0), (-0.123, 0.15), (-0.123, -0.15), (-0.097, 0.098), (-0.097, -0.098), (-0.032, 0.041)]
L0H2 symmetric energy 0.701 top6 Q/K-subspace overlaps [0.9  0.82 0.65 0.59 0.2  0.05] eigenvalues [(0.091, 0.0), (0.053, 0.0), (-0.022, 0.0), (-0.013, 0.001), (-0.013, -0.001), (0.011, 0.0), (-0.01, 0.0), (-0.006, 0.004)]
L0H3 symmetric energy 0.605 top6 Q/K-subspace overlaps [0.82 0.78 0.61 0.43 0.38 0.1 ] eigenvalues [(-0.078, -0.005), (-0.078, 0.005), (-0.02, 0.0), (0.006, 0.017), (0.006, -0.017), (0.007, 0.0), (-0.006, -0.002), (-0.006, 0.002)]
L0H4 symmetric energy 0.512 top6 Q/K-subspace overlaps [0.5  0.35 0.29 0.2  0.11 0.01] eigenvalues [(-0.001, -0.001), (-0.001, 0.001), (-0.001, 0.0), (-0.001, -0.0), (0.0, 0.001), (0.0, -0.001), (-0.001, 0.0), (0.001, 0.0)]
L0H5 symmetric energy 0.386 top6 Q/K-subspace overlaps [0.93 0.91 0.85 0.79 0.67 0.52] eigenvalues [(0.207, -0.275), (0.207, 0.275), (0.114, -0.172), (0.114, 0.172), (0.178, 0.0), (0.155, 0.084), (0.155, -0.084), (0.035, 0.166)]
L1H0 symmetric energy 0.51 top6 Q/K-subspace overlaps [0.43 0.38 0.27 0.14 0.08 0.04] eigenvalues [(0.028, -0.051), (0.028, 0.051), (-0.051, -0.023), (-0.051, 0.023), (-0.051, 0.0), (-0.041, 0.013), (-0.041, -0.013), (-0.042, 0.0)]
L1H1 symmetric energy 0.498 top6 Q/K-subspace overlaps [0.69 0.54 0.43 0.37 0.29 0.21] eigenvalues [(0.08, -0.26), (0.08, 0.26), (-0.144, -0.009), (-0.144, 0.009), (-0.092, 0.079), (-0.092, -0.079), (-0.102, 0.0), (-0.099, 0.019)]
L1H2 symmetric energy 0.492 top6 Q/K-subspace overlaps [0.4  0.36 0.32 0.27 0.17 0.15] eigenvalues [(0.057, -0.202), (0.057, 0.202), (-0.108, 0.0), (-0.07, 0.05), (-0.07, -0.05), (-0.079, 0.004), (-0.079, -0.004), (-0.064, 0.0)]
L1H3 symmetric energy 0.478 top6 Q/K-subspace overlaps [0.51 0.4  0.36 0.33 0.22 0.06] eigenvalues [(0.076, -0.272), (0.076, 0.272), (-0.094, 0.0), (0.092, 0.0), (-0.08, 0.024), (-0.08, -0.024), (-0.077, 0.0), (-0.072, 0.0)]
L1H4 symmetric energy 0.481 top6 Q/K-subspace overlaps [0.52 0.38 0.37 0.22 0.12 0.  ] eigenvalues [(0.071, -0.239), (0.071, 0.239), (-0.085, -0.014), (-0.085, 0.014), (-0.078, 0.0), (-0.065, 0.028), (-0.065, -0.028), (-0.07, 0.0)]
L1H5 symmetric energy 0.505 top6 Q/K-subspace overlaps [0.53 0.44 0.41 0.29 0.14 0.11] eigenvalues [(0.072, -0.204), (0.072, 0.204), (-0.156, 0.0), (-0.124, 0.0), (-0.083, -0.053), (-0.083, 0.053), (-0.08, -0.03), (-0.08, 0.03)]
L2H0 symmetric energy 0.499 top6 Q/K-subspace overlaps [0.29 0.19 0.1  0.08 0.06 0.02] eigenvalues [(0.033, -0.132), (0.033, 0.132), (-0.117, 0.0), (0.091, -0.074), (0.091, 0.074), (0.037, 0.104), (0.037, -0.104), (-0.103, -0.031)]
L2H1 symmetric energy 0.52 top6 Q/K-subspace overlaps [0.34 0.32 0.26 0.17 0.12 0.02] eigenvalues [(0.142, 0.036), (0.142, -0.036), (0.142, 0.0), (0.141, 0.011), (0.141, -0.011), (0.131, 0.022), (0.131, -0.022), (0.103, 0.079)]
L2H2 symmetric energy 0.516 top6 Q/K-subspace overlaps [0.28 0.26 0.24 0.2  0.09 0.04] eigenvalues [(0.259, 0.0), (0.08, 0.216), (0.08, -0.216), (0.193, 0.058), (0.193, -0.058), (0.195, -0.026), (0.195, 0.026), (-0.172, 0.022)]
L2H3 symmetric energy 0.494 top6 Q/K-subspace overlaps [0.43 0.34 0.17 0.12 0.05 0.  ] eigenvalues [(0.058, -0.185), (0.058, 0.185), (0.002, 0.106), (0.002, -0.106), (-0.055, -0.085), (-0.055, 0.085), (0.097, -0.026), (0.097, 0.026)]
L2H4 symmetric energy 0.5 top6 Q/K-subspace overlaps [0.32 0.26 0.22 0.17 0.07 0.01] eigenvalues [(0.08, -0.22), (0.08, 0.22), (0.154, 0.0), (-0.121, 0.0), (0.086, 0.077), (0.086, -0.077), (-0.111, 0.028), (-0.111, -0.028)]
L2H5 symmetric energy 0.497 top6 Q/K-subspace overlaps [0.23 0.17 0.14 0.09 0.04 0.02] eigenvalues [(-0.107, 0.0), (-0.007, 0.101), (-0.007, -0.101), (-0.079, 0.045), (-0.079, -0.045), (0.09, 0.0), (-0.067, -0.055), (-0.067, 0.055)]
L3H0 symmetric energy 0.51 top6 Q/K-subspace overlaps [0.25 0.2  0.16 0.14 0.11 0.03] eigenvalues [(0.13, 0.0), (0.119, 0.04), (0.119, -0.04), (0.119, 0.018), (0.119, -0.018), (0.109, 0.0), (0.016, 0.105), (0.016, -0.105)]
L3H1 symmetric energy 0.511 top6 Q/K-subspace overlaps [0.26 0.22 0.18 0.12 0.06 0.04] eigenvalues [(0.11, 0.027), (0.11, -0.027), (0.112, 0.0), (0.075, -0.071), (0.075, 0.071), (0.102, 0.0), (0.087, -0.04), (0.087, 0.04)]
L3H2 symmetric energy 0.497 top6 Q/K-subspace overlaps [0.27 0.18 0.13 0.09 0.06 0.01] eigenvalues [(0.036, -0.114), (0.036, 0.114), (0.114, -0.026), (0.114, 0.026), (0.003, 0.11), (0.003, -0.11), (0.106, 0.0), (0.07, 0.077)]
L3H3 symmetric energy 0.496 top6 Q/K-subspace overlaps [0.26 0.21 0.15 0.12 0.08 0.  ] eigenvalues [(0.027, -0.061), (0.027, 0.061), (0.06, 0.0), (0.026, 0.049), (0.026, -0.049), (-0.002, 0.051), (-0.002, -0.051), (-0.042, 0.026)]
L3H4 symmetric energy 0.502 top6 Q/K-subspace overlaps [0.36 0.22 0.17 0.13 0.08 0.02] eigenvalues [(-0.105, 0.0), (0.093, 0.0), (0.066, -0.059), (0.066, 0.059), (0.029, -0.079), (0.029, 0.079), (-0.002, -0.083), (-0.002, 0.083)]
L3H5 symmetric energy 0.611 top6 Q/K-subspace overlaps [0.69 0.68 0.65 0.63 0.6  0.57] eigenvalues [(0.195, -0.117), (0.195, 0.117), (0.213, 0.074), (0.213, -0.074), (0.2, 0.104), (0.2, -0.104), (0.202, 0.076), (0.202, -0.076)]

L0H4 OV top-3 INPUT subspace and other L0 QK maps:
0 query/key energy [0.755  0.2233] 3x3 restriction [[ 0.0104  0.0028  0.0239]
 [ 0.0242 -0.0183  0.0044]
 [ 0.0073 -0.0178 -0.0149]]
1 query/key energy [0.5672 0.6076] 3x3 restriction [[ 0.2271 -0.2086  0.1563]
 [ 0.4972  0.1801 -0.0339]
 [ 0.0301 -0.0462  0.0169]]
2 query/key energy [0.6801 0.5109] 3x3 restriction [[ 0.0939  0.0278 -0.0051]
 [ 0.01    0.044  -0.031 ]
 [ 0.0166  0.0038  0.0031]]
3 query/key energy [0.6231 0.4144] 3x3 restriction [[-0.0666  0.0016 -0.0272]
 [ 0.0056 -0.0797  0.0348]
 [ 0.0026 -0.0321  0.0293]]
4 query/key energy [0.03   0.0859] 3x3 restriction [[-0.      0.0001  0.0002]
 [-0.      0.0002  0.0002]
 [ 0.0001 -0.0004 -0.0005]]
5 query/key energy [0.2486 0.2813] 3x3 restriction [[ 0.1923 -0.1792  0.1387]
 [ 0.2756  0.1381 -0.0439]
 [-0.0232 -0.114   0.0519]]

Dominant effective L0 OV input-subspace similarities (3 dims):
[[1.    0.019 0.13  0.339 0.707 0.021]
 [0.019 1.    0.089 0.031 0.004 0.234]
 [0.13  0.089 1.    0.07  0.085 0.154]
 [0.339 0.031 0.07  1.    0.301 0.013]
 [0.707 0.004 0.085 0.301 1.    0.005]
 [0.021 0.234 0.154 0.013 0.005 1.   ]]

Joint QK covariance spectra:
0 [0.2536 0.1755 0.0546 0.0402 0.0389 0.0378 0.033  0.0316 0.0278 0.0267 0.0245 0.0235 0.0232 0.0214 0.0204 0.0171 0.0166 0.016  0.0145 0.0126 0.0112
 0.0098 0.0083 0.0068 0.0051 0.0046 0.0044 0.0032 0.003  0.0026 0.0023 0.0019 0.0018 0.0016 0.0015 0.0014 0.0013 0.0011 0.0011 0.001  0.0009 0.0008
 0.0008 0.0008 0.0007]
1 [0.247  0.2019 0.0933 0.0706 0.0354 0.0251 0.0184 0.0175 0.0171 0.0146 0.0125 0.0117 0.0105 0.0096 0.0093 0.0085 0.0076 0.0074 0.0066 0.0064 0.0061
 0.0059 0.0056 0.0055 0.0051 0.0049 0.0047 0.0043 0.0043 0.0042 0.0039 0.0038 0.0037 0.0036 0.0033 0.0032 0.0031 0.0031 0.0029 0.0028 0.0028 0.0027
 0.0026 0.0026 0.0026]
2 [0.0328 0.0242 0.0184 0.0154 0.0149 0.0146 0.0133 0.0131 0.0127 0.0121 0.0116 0.0109 0.0105 0.0104 0.0102 0.01   0.0097 0.0095 0.0092 0.0091 0.009
 0.0088 0.0087 0.0084 0.0083 0.0082 0.0082 0.0081 0.0079 0.0076 0.0074 0.0074 0.0073 0.0071 0.007  0.0068 0.0068 0.0066 0.0065 0.0064 0.0064 0.0063
 0.0061 0.0061 0.006 ]
3 [0.0146 0.0131 0.0111 0.0105 0.01   0.0099 0.0098 0.0096 0.0093 0.0091 0.009  0.0088 0.0086 0.0085 0.0084 0.0082 0.0081 0.008  0.0079 0.0079 0.0077
 0.0076 0.0075 0.0073 0.0073 0.0072 0.0071 0.0069 0.0068 0.0068 0.0067 0.0066 0.0066 0.0065 0.0065 0.0064 0.0063 0.0063 0.0062 0.0061 0.0061 0.0061
 0.006  0.0059 0.0058]

L0 FC input and projection output mean directions:
FC row norm quantiles [0.291 0.329 0.351 0.394 1.71  2.224 4.325]
FC nearest-other-row cosine quantiles [0.233 0.394 0.423 0.463 0.554 0.819 0.985]
Per-neuron paired input/output cosine quantiles [-0.635 -0.108 -0.064 -0.022  0.033  0.109  0.544]

```