OUTPUT of run 6 of at most 100:
```
Mean squared character/position candidate subspace overlap: 0.32920011084181006
Energy fractions in candidate character and position input subspaces:
L0H0 W_q [0.0038 0.1503]
L0H0 W_k [0.0515 0.0651]
L0H0 W_v [0.0258 0.2115]
 OV top four right-singular-vector character / position overlaps: [0.003 0.006 0.084 0.17 ] [0.031 0.424 0.207 0.155]
L0H1 W_q [0.0321 0.1967]
L0H1 W_k [0.0138 0.2379]
L0H1 W_v [0.227  0.0614]
 OV top four right-singular-vector character / position overlaps: [0.177 0.268 0.289 0.361] [0.027 0.021 0.063 0.041]
L0H2 W_q [0.0434 0.1376]
L0H2 W_k [0.0495 0.141 ]
L0H2 W_v [0.142  0.0714]
 OV top four right-singular-vector character / position overlaps: [0.276 0.203 0.203 0.229] [0.246 0.072 0.063 0.063]
L0H3 W_q [0.0176 0.1138]
L0H3 W_k [0.0507 0.1624]
L0H3 W_v [0.0783 0.0768]
 OV top four right-singular-vector character / position overlaps: [0.006 0.128 0.172 0.114] [0.094 0.094 0.025 0.148]
L0H4 W_q [0.0067 0.0198]
L0H4 W_k [0.0124 0.0261]
L0H4 W_v [0.0165 0.2812]
 OV top four right-singular-vector character / position overlaps: [0.001 0.002 0.008 0.177] [0.405 0.153 0.107 0.11 ]
L0H5 W_q [0.0133 0.1889]
L0H5 W_k [0.0054 0.1982]
L0H5 W_v [0.2076 0.0717]
 OV top four right-singular-vector character / position overlaps: [0.24  0.296 0.31  0.319] [0.045 0.033 0.02  0.059]

Key-bias weight vectors across heads:
L0H0 bias norm 0.0185 cosine with common L1 bias -0.1842
L0H1 bias norm 0.0736 cosine with common L1 bias 0.3711
L0H2 bias norm 0.0234 cosine with common L1 bias -0.0452
L0H3 bias norm 0.057 cosine with common L1 bias -0.0608
L0H4 bias norm 0.0009 cosine with common L1 bias -0.0478
L0H5 bias norm 0.0509 cosine with common L1 bias -0.2918
L1H0 bias norm 0.8392 cosine with common L1 bias 0.879
L1H1 bias norm 3.1498 cosine with common L1 bias 0.9652
L1H2 bias norm 2.1998 cosine with common L1 bias 0.9539
L1H3 bias norm 2.7194 cosine with common L1 bias 0.9627
L1H4 bias norm 2.518 cosine with common L1 bias 0.9612
L1H5 bias norm 2.4602 cosine with common L1 bias 0.9374
L2H0 bias norm 0.8945 cosine with common L1 bias 0.6644
L2H1 bias norm 0.6377 cosine with common L1 bias 0.1501
L2H2 bias norm 1.5836 cosine with common L1 bias 0.9043
L2H3 bias norm 1.0368 cosine with common L1 bias 0.8715
L2H4 bias norm 1.1994 cosine with common L1 bias 0.8107
L2H5 bias norm 0.6361 cosine with common L1 bias 0.5232
L3H0 bias norm 0.2987 cosine with common L1 bias 0.2548
L3H1 bias norm 0.2634 cosine with common L1 bias -0.0474
L3H2 bias norm 0.3422 cosine with common L1 bias 0.477
L3H3 bias norm 0.2583 cosine with common L1 bias 0.1958
L3H4 bias norm 0.3067 cosine with common L1 bias 0.4027
L3H5 bias norm 0.3101 cosine with common L1 bias -0.0416

Copy-path trace concentration on the candidate character subspace:
(2, 1) via (0, 5) total trace 0.5595 char-subspace trace 0.2795 char trace/nuclear norm 0.6906 top real parts [0.0393 0.0326 0.0326 0.025  0.025  0.0197 0.0182 0.0182]
(3, 1) via (0, 5) total trace 0.3831 char-subspace trace 0.1978 char trace/nuclear norm 0.6332 top real parts [0.025  0.0204 0.0204 0.0183 0.0183 0.0122 0.0122 0.0103]
(3, 5) via (0, 5) total trace 0.5596 char-subspace trace 0.3028 char trace/nuclear norm 0.6912 top real parts [0.0411 0.029  0.0272 0.0272 0.0217 0.0217 0.0187 0.0187]
(3, 1) via (2, 2) total trace 3.1409 char-subspace trace 0.4064 char trace/nuclear norm 0.5624 top real parts [0.0519 0.0519 0.045  0.045  0.0342 0.0325 0.0325 0.0195]
(3, 5) via (2, 2) total trace 6.521 char-subspace trace 0.6925 char trace/nuclear norm 0.6499 top real parts [0.0969 0.0632 0.059  0.059  0.0522 0.0485 0.0485 0.0442]

```