OUTPUT of run 4 of at most 60:
```
=== SHARED RESIDUAL-SPACE DIFFERENCE GEOMETRY ===
Each contributing tensor has trace-one covariance; tensors are equally weighted.
Reference: isotropic top-1/4/16/64 shares = [0.0016 0.0063 0.025  0.1   ]

Group: attention_read tensor_count: 54
Effective rank: 188.15994447383437
Top-1/4/16/64 eigenvalue energy shares: [0.031612484917071394, 0.08585169046822658, 0.20522135830102634, 0.4457606993286394]
Top 8 eigenvalues: [0.0316 0.0217 0.0179 0.0147 0.0136 0.0123 0.0115 0.0112]
Top diagonal coordinates: [617, 93, 240, 504, 360, 123, 4, 611]
Their diagonal energies: [0.0019 0.0018 0.0018 0.0018 0.0018 0.0018 0.0018 0.0018]

Group: attention_write tensor_count: 18
Effective rank: 237.92212934889403
Top-1/4/16/64 eigenvalue energy shares: [0.019993661465565707, 0.06293399557561605, 0.17313616433743825, 0.40978185729320926]
Top 8 eigenvalues: [0.02   0.0159 0.0149 0.0122 0.0117 0.0107 0.0104 0.0101]
Top diagonal coordinates: [163, 572, 339, 218, 458, 551, 504, 186]
Their diagonal energies: [0.0021 0.0021 0.002  0.002  0.002  0.002  0.002  0.002 ]

Group: mlp_read tensor_count: 36
Effective rank: 197.6698585430642
Top-1/4/16/64 eigenvalue energy shares: [0.03460536465105594, 0.08812795542919466, 0.19716114264749618, 0.413845381590643]
Top 8 eigenvalues: [0.0346 0.0207 0.0188 0.014  0.0128 0.0114 0.0106 0.0102]
Top diagonal coordinates: [32, 120, 44, 242, 547, 315, 33, 443]
Their diagonal energies: [0.0018 0.0018 0.0017 0.0017 0.0017 0.0017 0.0017 0.0017]

Group: mlp_write tensor_count: 18
Effective rank: 269.64270115067313
Top-1/4/16/64 eigenvalue energy shares: [0.01787966690461853, 0.05684976259301758, 0.15580010711627074, 0.37745242492753805]
Top 8 eigenvalues: [0.0179 0.0159 0.0122 0.0109 0.0106 0.0103 0.0094 0.009 ]
Top diagonal coordinates: [518, 533, 295, 546, 289, 403, 412, 467]
Their diagonal energies: [0.0019 0.0019 0.0019 0.0019 0.0019 0.0018 0.0018 0.0018]

=== LOWEST INDIVIDUAL RESIDUAL-COVARIANCE EFFECTIVE RANKS ===
layer tensor | effective_rank radial_scale_fraction top1_coord_share top8_coord_share
12 self_attn.q_proj        |    12.156    0.0000109     0.002789     0.020103
 0 self_attn.v_proj        |    13.169    0.0000420     0.002460     0.017899
 5 self_attn.k_proj        |    13.708    0.0000000     0.003869     0.025393
 9 self_attn.q_proj        |    13.855    0.0000017     0.002591     0.019013
10 self_attn.q_proj        |    14.150    0.0000001     0.002909     0.019212
17 self_attn.k_proj        |    14.984    0.0000342     0.004366     0.029656
11 self_attn.k_proj        |    15.613    0.0000223     0.006246     0.029006
12 self_attn.k_proj        |    15.632    0.0000063     0.003755     0.025974
10 self_attn.k_proj        |    16.775    0.0000023     0.003432     0.025702
 5 self_attn.q_proj        |    18.587    0.0000116     0.002984     0.021653
11 self_attn.q_proj        |    18.780    0.0000015     0.003555     0.022881
 7 self_attn.k_proj        |    18.853    0.0000042     0.003646     0.024224
 0 self_attn.k_proj        |    19.583    0.0000001     0.003558     0.022919
 2 self_attn.k_proj        |    19.869    0.0000032     0.003161     0.024091
14 self_attn.k_proj        |    20.229    0.0000335     0.004078     0.026099
 9 self_attn.k_proj        |    20.340    0.0000151     0.003374     0.025092
17 self_attn.q_proj        |    22.938    0.0000035     0.002706     0.020747
13 self_attn.k_proj        |    23.017    0.0000029     0.003471     0.023210
 1 self_attn.o_proj        |    23.167    0.0000756     0.004353     0.030719
 1 self_attn.k_proj        |    23.341    0.0000075     0.003687     0.024035
 7 self_attn.q_proj        |    24.073    0.0000000     0.002477     0.018692
 3 self_attn.k_proj        |    24.124    0.0000040     0.003903     0.022829
 1 self_attn.v_proj        |    24.238    0.0000094     0.002589     0.018315
 4 self_attn.k_proj        |    24.374    0.0000104     0.003765     0.026495

=== OVERLAP BETWEEN GROUPS' LEADING 16-DIMENSIONAL SUBSPACES ===
Mean squared canonical cosine; independent isotropic reference is 16/640 = 0.025
attention_read <-> attention_write mean_squared_cosine= 0.06155399386901675 largest_squared_cosine= 0.200187232483362
attention_read <-> mlp_read mean_squared_cosine= 0.6605167595583594 largest_squared_cosine= 0.9473406178767432
attention_read <-> mlp_write mean_squared_cosine= 0.09397294481170938 largest_squared_cosine= 0.46817990267206266
attention_write <-> mlp_read mean_squared_cosine= 0.06453614610228722 largest_squared_cosine= 0.2392019890360346
attention_write <-> mlp_write mean_squared_cosine= 0.40732705819850623 largest_squared_cosine= 0.8246124606640526
mlp_read <-> mlp_write mean_squared_cosine= 0.09218081876658088 largest_squared_cosine= 0.3817475544372181

=== TENSORS MOST ALIGNED WITH THEIR GROUP'S TOP FOUR CHANGE DIRECTIONS ===
The shared directions are inferred from the same weights, not independent validation.
 9 self_attn.q_proj        group=attention_read   shared4_energy=0.188098 effective_rank=13.855
10 self_attn.q_proj        group=attention_read   shared4_energy=0.177545 effective_rank=14.150
12 self_attn.q_proj        group=attention_read   shared4_energy=0.177070 effective_rank=12.156
 7 self_attn.k_proj        group=attention_read   shared4_energy=0.150316 effective_rank=18.853
 7 self_attn.q_proj        group=attention_read   shared4_energy=0.149787 effective_rank=24.073
13 mlp.gate_proj           group=mlp_read         shared4_energy=0.146005 effective_rank=32.037
 9 mlp.gate_proj           group=mlp_read         shared4_energy=0.144649 effective_rank=34.495
14 mlp.gate_proj           group=mlp_read         shared4_energy=0.140686 effective_rank=36.649
11 self_attn.q_proj        group=attention_read   shared4_energy=0.138589 effective_rank=18.780
13 mlp.up_proj             group=mlp_read         shared4_energy=0.138514 effective_rank=33.916
10 mlp.gate_proj           group=mlp_read         shared4_energy=0.138323 effective_rank=33.239
 8 self_attn.q_proj        group=attention_read   shared4_energy=0.138220 effective_rank=26.554
 9 self_attn.v_proj        group=attention_read   shared4_energy=0.135645 effective_rank=30.025
 9 mlp.up_proj             group=mlp_read         shared4_energy=0.135425 effective_rank=37.214
14 mlp.up_proj             group=mlp_read         shared4_energy=0.135280 effective_rank=38.983
 7 self_attn.v_proj        group=attention_read   shared4_energy=0.132458 effective_rank=33.353
12 mlp.gate_proj           group=mlp_read         shared4_energy=0.132417 effective_rank=35.046
17 mlp.down_proj           group=mlp_write        shared4_energy=0.131849 effective_rank=27.151
10 self_attn.k_proj        group=attention_read   shared4_energy=0.131087 effective_rank=16.775
 8 mlp.gate_proj           group=mlp_read         shared4_energy=0.127313 effective_rank=39.649
 1 self_attn.o_proj        group=attention_write  shared4_energy=0.127234 effective_rank=23.167
10 mlp.up_proj             group=mlp_read         shared4_energy=0.121781 effective_rank=37.863
 9 self_attn.k_proj        group=attention_read   shared4_energy=0.119591 effective_rank=20.340
12 mlp.up_proj             group=mlp_read         shared4_energy=0.118862 effective_rank=39.685

=== READ/WRITE ALIGNMENT OF INDIVIDUAL CHANGE COVARIANCES ===
Frobenius cosine of covariance matrices. Isotropic concentration can contribute to this measure.
layer=16 mlp.down_proj           -> mlp.up_proj             covariance_cosine=0.128886
layer=16 mlp.down_proj           -> mlp.gate_proj           covariance_cosine=0.128309
layer= 1 mlp.down_proj           -> mlp.up_proj             covariance_cosine=0.127814
layer=15 mlp.down_proj           -> mlp.gate_proj           covariance_cosine=0.127164
layer=11 self_attn.o_proj        -> mlp.up_proj             covariance_cosine=0.126915
layer=15 mlp.down_proj           -> mlp.up_proj             covariance_cosine=0.126746
layer= 5 mlp.down_proj           -> mlp.up_proj             covariance_cosine=0.126114
layer= 5 mlp.down_proj           -> mlp.gate_proj           covariance_cosine=0.124346
layer= 1 mlp.down_proj           -> mlp.gate_proj           covariance_cosine=0.123735
layer=17 self_attn.o_proj        -> mlp.up_proj             covariance_cosine=0.122368
layer=11 self_attn.o_proj        -> mlp.gate_proj           covariance_cosine=0.121890
layer= 4 mlp.down_proj           -> mlp.up_proj             covariance_cosine=0.121610
layer=17 self_attn.o_proj        -> mlp.gate_proj           covariance_cosine=0.121376
layer= 6 mlp.down_proj           -> mlp.up_proj             covariance_cosine=0.120953
layer= 2 mlp.down_proj           -> mlp.up_proj             covariance_cosine=0.119785
layer=14 mlp.down_proj           -> mlp.up_proj             covariance_cosine=0.119605

No model functions, nonlinearities, hidden-state normalization, or test vectors were evaluated.
Shared weight-change directions do not by themselves identify shared semantic features.

```