OUTPUT of run 4 of at most 100:
```
L0H5 effective V singular values: [0.493 0.473 0.446 0.437 0.426 0.408 0.404 0.393 0.386 0.376 0.363 0.361 0.356 0.345 0.333 0.329 0.322 0.316 0.31  0.304 0.299 0.289 0.285 0.277 0.274 0.267
 0.252 0.245 0.241 0.235 0.233 0.221 0.216 0.212 0.208 0.203 0.199 0.194 0.188 0.179]

L0 QK energy in L0H5 V-read top27; query / key
0 0.06915506568490729 0.4005828987732276
 raw QK largest eigenvalues: [-0.307+0.j    -0.065+0.j    -0.031+0.j    -0.018+0.005j -0.018-0.005j -0.01 +0.007j -0.01 -0.007j -0.012+0.j    -0.011+0.003j -0.011-0.003j -0.007-0.007j
 -0.007+0.007j]
1 0.14100247076637126 0.17875867300936604
 raw QK largest eigenvalues: [-2.036+0.j    -0.868+1.059j -0.868-1.059j -0.64 +0.764j -0.64 -0.764j  0.382+0.574j  0.382-0.574j -0.221+0.286j -0.221-0.286j  0.178-0.217j  0.178+0.217j
  0.002+0.28j ]
2 0.1380088946278737 0.3036819626565164
 raw QK largest eigenvalues: [-0.267+0.j    -0.188+0.035j -0.188-0.035j -0.173+0.j     0.118+0.066j  0.118-0.066j -0.097+0.053j -0.097-0.053j  0.103+0.j    -0.093+0.j     0.031+0.045j
  0.031-0.045j]
3 0.12867697668337996 0.26320291058948364
 raw QK largest eigenvalues: [-0.32 +0.j    -0.184+0.047j -0.184-0.047j -0.058+0.104j -0.058-0.104j -0.109+0.j     0.084+0.j    -0.051+0.044j -0.051-0.044j -0.062+0.j    -0.052+0.j
  0.004+0.045j]
4 0.09665577096102634 0.11399456953990159
 raw QK largest eigenvalues: [-0.012+0.007j -0.012-0.007j -0.011+0.j    -0.004+0.j    -0.004-0.j    -0.003+0.003j -0.003-0.003j -0.003+0.002j -0.003-0.002j -0.004+0.j     0.003-0.002j
  0.003+0.002j]
5 0.16163991771158023 0.18783951477136343
 raw QK largest eigenvalues: [ 0.962+1.178j  0.962-1.178j  1.104+0.737j  1.104-0.737j  0.238+1.225j  0.238-1.225j  1.246+0.j     0.708+0.985j  0.708-0.985j -0.081-1.088j -0.081+1.088j
 -0.378-0.994j]

Projected composition trace / Frobenius norm on the L0H5 value-read subspace
For each later head: best earlier OV head, trace/Frobenius, positive-eigenvalue mass of symmetric part / total absolute mass
L1H0: ['L0H1 ratio 0.185 pos 0.532 norm 0.032', 'L0H3 ratio -0.012 pos 0.497 norm 0.013', 'L0H5 ratio -0.173 pos 0.470 norm 0.045']
L1H1: ['L0H5 ratio 0.783 pos 0.640 norm 0.115', 'L0H1 ratio 0.512 pos 0.586 norm 0.053', 'L0H0 ratio 0.312 pos 0.623 norm 0.302']
L1H2: ['L0H3 ratio 0.069 pos 0.519 norm 0.025', 'L0H1 ratio 0.044 pos 0.508 norm 0.041', 'L0H5 ratio -0.162 pos 0.473 norm 0.072']
L1H3: ['L0H5 ratio 0.706 pos 0.622 norm 0.085', 'L0H3 ratio 0.214 pos 0.564 norm 0.031', 'L0H2 ratio 0.122 pos 0.532 norm 0.042']
L1H4: ['L0H5 ratio 0.488 pos 0.588 norm 0.084', 'L0H1 ratio 0.414 pos 0.571 norm 0.039', 'L0H4 ratio 0.104 pos 0.541 norm 0.686']
L1H5: ['L0H5 ratio 0.549 pos 0.604 norm 0.115', 'L0H4 ratio 0.299 pos 0.624 norm 1.103', 'L0H0 ratio 0.286 pos 0.616 norm 0.248']
L2H0: ['L0H3 ratio 0.185 pos 0.535 norm 0.027', 'L1H2 ratio 0.144 pos 0.526 norm 0.162', 'L1H5 ratio 0.055 pos 0.510 norm 0.128']
L2H1: ['L0H5 ratio 2.747 pos 0.922 norm 0.199', 'L1H4 ratio 1.740 pos 0.795 norm 0.169', 'L1H2 ratio 1.725 pos 0.789 norm 0.209']
L2H2: ['L0H4 ratio 0.071 pos 0.524 norm 0.642', 'L0H3 ratio 0.017 pos 0.503 norm 0.038', 'L1H5 ratio -0.032 pos 0.495 norm 0.192']
L2H3: ['L1H1 ratio 0.270 pos 0.548 norm 0.111', 'L0H1 ratio 0.215 pos 0.534 norm 0.073', 'L1H5 ratio 0.124 pos 0.520 norm 0.116']
L2H4: ['L0H5 ratio 0.125 pos 0.521 norm 0.135', 'L0H3 ratio 0.121 pos 0.525 norm 0.034', 'L0H2 ratio 0.101 pos 0.524 norm 0.074']
L2H5: ['L0H5 ratio 0.479 pos 0.578 norm 0.086', 'L1H2 ratio 0.468 pos 0.584 norm 0.119', 'L1H4 ratio 0.347 pos 0.562 norm 0.089']
L3H0: ['L0H5 ratio 1.201 pos 0.700 norm 0.124', 'L2H2 ratio 0.883 pos 0.645 norm 0.160', 'L1H2 ratio 0.803 pos 0.640 norm 0.176']
L3H1: ['L0H5 ratio 2.509 pos 0.886 norm 0.149', 'L2H2 ratio 2.169 pos 0.839 norm 0.181', 'L1H2 ratio 1.736 pos 0.788 norm 0.169']
L3H2: ['L2H0 ratio 0.270 pos 0.546 norm 0.142', 'L0H2 ratio 0.229 pos 0.546 norm 0.046', 'L1H3 ratio 0.224 pos 0.539 norm 0.121']
L3H3: ['L2H4 ratio 0.794 pos 0.639 norm 0.092', 'L0H2 ratio 0.591 pos 0.636 norm 0.025', 'L1H2 ratio 0.528 pos 0.589 norm 0.068']
L3H4: ['L0H5 ratio 0.827 pos 0.637 norm 0.085', 'L2H2 ratio 0.513 pos 0.588 norm 0.123', 'L2H4 ratio 0.497 pos 0.584 norm 0.161']
L3H5: ['L2H2 ratio 2.756 pos 0.919 norm 0.268', 'L0H5 ratio 2.637 pos 0.900 norm 0.209', 'L1H4 ratio 1.821 pos 0.806 norm 0.169']

OV energy fractions: read L0H5-value top27 / write final-MLP top28
L0H0 0.090 0.189
L0H1 0.694 0.065
L0H2 0.543 0.098
L0H3 0.252 0.164
L0H4 0.085 0.221
L0H5 0.948 0.059
L1H0 0.169 0.080
L1H1 0.179 0.054
L1H2 0.209 0.066
L1H3 0.168 0.059
L1H4 0.188 0.058
L1H5 0.198 0.058
L2H0 0.088 0.060
L2H1 0.088 0.093
L2H2 0.094 0.051
L2H3 0.081 0.058
L2H4 0.136 0.058
L2H5 0.083 0.081
L3H0 0.079 0.133
L3H1 0.115 0.333
L3H2 0.078 0.126
L3H3 0.072 0.132
L3H4 0.077 0.153
L3H5 0.131 0.330
MLP 0 row norm quantiles [0.33  0.371 0.394 0.437 1.766 2.393 4.287] rows norm>1: 518 norm>2: 286
MLP 1 row norm quantiles [0.441 1.869 1.942 2.023 2.11  2.206 8.68 ] rows norm>1: 1532 norm>2: 887
MLP 2 row norm quantiles [1.678 1.933 1.979 2.024 2.073 2.121 2.731] rows norm>1: 1536 norm>2: 963
MLP 3 row norm quantiles [1.746 1.902 1.954 1.995 2.036 2.072 2.947] rows norm>1: 1536 norm>2: 715

```