OUTPUT of run 4 of at most 100:
```
Shared L0H0/H1/H4/H5 OV singular values: [11.996   8.4336  3.3624  1.312   0.9992  0.8615  0.7301  0.6058  0.5661  0.5402  0.4827  0.436   0.3932  0.3667  0.347   0.3209  0.306   0.2954
  0.2622  0.246 ]
Fraction of each L0 OV's squared norm in shared top-2 write subspace:
0 0.9123
1 0.9385
2 0.0028
3 0.2485
4 0.8528
5 0.9345

Later QK energy on shared top-2 write subspace and bias-key alignment
head: query_fraction key_fraction key_bias_fraction key_bias_coordinates
L1H0 [0.0614 0.5748 0.7729] [7.137 6.341]
L1H1 [0.0648 0.5364 0.8146] [13.096 10.032]
L1H2 [0.0606 0.5491 0.8131] [14.859 11.302]
L1H3 [0.0591 0.5547 0.7933] [12.977 10.594]
L1H4 [0.0569 0.6026 0.8268] [13.741  9.42 ]
L1H5 [0.0677 0.5488 0.7836] [9.62  7.843]
L2H0 [0.0275 0.0919 0.8536] [10.353  7.109]
L2H1 [0.0082 0.0444 0.7929] [4.547 2.734]
L2H2 [0.0203 0.1766 0.8019] [4.247 3.356]
L2H3 [0.0381 0.092  0.8678] [9.315 5.662]
L2H4 [0.0304 0.0922 0.8624] [10.055  6.023]
L2H5 [0.0306 0.0882 0.8535] [9.473 5.885]
L3H0 [0.0014 0.0127 0.1481] [0.676 0.418]
L3H1 [0.001  0.0023 0.0316] [-0.327  0.106]
L3H2 [0.0118 0.0693 0.5917] [1.495 0.97 ]
L3H3 [0.0162 0.0655 0.666 ] [2.074 1.111]
L3H4 [0.0054 0.044  0.5194] [1.545 0.865]
L3H5 [0.0029 0.0084 0.0312] [ 0.232 -0.016]

L0H2 gain-weighted OV singular values: [0.7873 0.718  0.6827 0.6713 0.6378 0.6013 0.5692 0.5583 0.5504 0.5222 0.5151 0.4872 0.4805 0.4696 0.4391 0.4211 0.4006 0.3931 0.3471 0.3044 0.2772
 0.2754 0.2565 0.2286 0.2181 0.205  0.1814 0.1707 0.1628 0.1593 0.1314 0.1184 0.1108 0.1014 0.0949 0.0807 0.0726 0.0649 0.0508 0.0469]
Projected compositions on L0H2's top-27 read subspace:
head: trace(A Bprev) projected_trace symmetric_fraction positive/negative_sym_eigenmass
L1H0 [-0.0978 -0.109   0.7328  0.2629  0.372 ]
L1H1 [-0.0033 -0.0118  0.7879  0.7768  0.7886]
L1H2 [0.458  0.4426 0.7303 1.138  0.6953]
L1H3 [0.4099 0.4019 0.7498 0.9661 0.5643]
L1H4 [0.3922 0.3805 0.7224 0.9042 0.5237]
L1H5 [0.1614 0.1521 0.7166 0.9226 0.7705]
L2H0 [-0.248  -0.2914  0.707   1.0645  1.3559]
L2H1 [-0.2372 -0.2557  0.7393  0.8213  1.077 ]
L2H2 [0.0327 0.0371 0.7256 0.635  0.5978]
L2H3 [0.1216 0.1512 0.7026 0.9162 0.765 ]
L2H4 [-0.3803 -0.3931  0.705   0.8113  1.2044]
L2H5 [0.0158 0.0345 0.7101 1.0638 1.0293]
L3H0 [-0.1019 -0.0942  0.7048  0.9675  1.0617]
L3H1 [3.5295 3.5096 0.9062 3.7617 0.252 ]
L3H2 [0.0903 0.0916 0.7098 0.6001 0.5085]
L3H3 [0.0381 0.0281 0.6743 0.5445 0.5164]
L3H4 [-0.1812 -0.1594  0.7495  0.6723  0.8317]
L3H5 [0.0419 0.0467 0.7255 0.3519 0.3052]

Unweighted L0H2 V singular values:
[1.9539 1.8791 1.8467 1.8044 1.7716 1.7334 1.7213 1.6695 1.6478 1.5709 1.5539 1.5198 1.5167 1.4806 1.4422 1.331  1.2633 1.2307 1.0507 0.9934 0.9376
 0.9084 0.843  0.8111 0.7783 0.7104 0.6947 0.6454 0.6367 0.599  0.5752 0.5655 0.5477 0.5344 0.5259 0.5052 0.4878 0.4767 0.4555 0.4349 0.427  0.4089
 0.3946 0.3823 0.3712 0.3616 0.3501 0.3437 0.3341 0.323  0.3187 0.3139 0.302  0.2976 0.2964 0.2836 0.281  0.2722 0.2652 0.2598 0.2594 0.2497 0.2364
 0.2305]

```