OUTPUT of run 28 of at most 60:
```
HEAD-AXIS COMMON-MODE WEIGHT ENERGY
For four uncorrelated equally scaled matrices the reference fraction is 0.25.
Small writing common mode means common head outputs would tend to cancel,
NOT that the model actually produces equal attention patterns.
Columns: layer | raw O midpoint common fraction | OV midpoint common fraction | OV B-A common fraction | Q midpoint common fraction | Q B-A common fraction
L00 | 0.2337 0.3618 0.4879 0.3486 0.2606
L01 | 0.3363 0.4298 0.5634 0.3523 0.2312
L02 | 0.1597 0.1780 0.4984 0.2857 0.2531
L03 | 0.1786 0.2062 0.5164 0.2640 0.2119
L04 | 0.2452 0.2147 0.6802 0.3301 0.2460
L05 | 0.2459 0.3349 0.5495 0.4858 0.2239
L06 | 0.1293 0.0870 0.5735 0.4961 0.1347
L07 | 0.0833 0.0744 0.4243 0.4273 0.1856
L08 | 0.1317 0.1009 0.6247 0.4423 0.1401
L09 | 0.0693 0.0658 0.4711 0.5276 0.1230
L10 | 0.2558 0.2418 0.4535 0.4249 0.2244
L11 | 0.0568 0.0161 0.2704 0.3189 0.1286
L12 | 0.3007 0.4944 0.5578 0.4480 0.2637
L13 | 0.1895 0.1924 0.4200 0.3204 0.2570
L14 | 0.2219 0.1756 0.3723 0.3605 0.2230
L15 | 0.1144 0.0741 0.3587 0.4305 0.1267
L16 | 0.2169 0.1849 0.5908 0.3710 0.1295
L17 | 0.1481 0.0983 0.3840 0.4665 0.1450

PAIRED-HEAD WEIGHT STRUCTURE
Cancellation ratio: 0=exact opposites; 1=orthogonal equal-energy reference.
Query cosines compare whole weight matrices, NOT normalized query activations.
L11 H2/H3: OV cancellation=0.1198, raw-O=0.2675, OV cosine=-0.9865, norm ratio=0.959, query cosine=+0.3975, query-change cosine=-0.5875
  cancellation A/B=0.11978/0.11983; writer trace diagnostics=[ 0.5158 -0.8583]
L17 H0/H2: OV cancellation=0.5239, raw-O=0.6553, OV cosine=-0.7512, norm ratio=1.304, query cosine=+0.5488, query-change cosine=-0.6672
  cancellation A/B=0.52386/0.52391; writer trace diagnostics=[1.2006 0.0794]
L15 H1/H3: OV cancellation=0.5988, raw-O=0.7117, OV cosine=-0.6645, norm ratio=1.307, query cosine=+0.3805, query-change cosine=-0.6345
  cancellation A/B=0.59883/0.59886; writer trace diagnostics=[-8.4272  6.7458]
L07 H0/H1: OV cancellation=0.6483, raw-O=0.6752, OV cosine=-0.6533, norm ratio=0.607, query cosine=+0.4936, query-change cosine=-0.3148
  cancellation A/B=0.64841/0.64829; writer trace diagnostics=[ 5.0872 -7.1935]
L09 H1/H3: OV cancellation=0.6716, raw-O=0.7481, OV cosine=-0.5921, norm ratio=1.483, query cosine=+0.5709, query-change cosine=-0.5719
  cancellation A/B=0.67165/0.67169; writer trace diagnostics=[-5.8383  2.856 ]
L06 H0/H1: OV cancellation=0.6725, raw-O=0.6900, OV cosine=-0.6115, norm ratio=0.620, query cosine=+0.4614, query-change cosine=-0.4519
  cancellation A/B=0.67253/0.67250; writer trace diagnostics=[ 2.2015 -2.2433]
L15 H1/H2: OV cancellation=0.6975, raw-O=0.7692, OV cosine=-0.5519, norm ratio=1.468, query cosine=+0.3134, query-change cosine=-0.5380
  cancellation A/B=0.69745/0.69748; writer trace diagnostics=[-8.4272  5.4701]
L15 H0/H1: OV cancellation=0.6979, raw-O=0.7387, OV cosine=-0.5347, norm ratio=0.748, query cosine=+0.1584, query-change cosine=-0.3350
  cancellation A/B=0.69784/0.69790; writer trace diagnostics=[ 6.0343 -8.4272]
L06 H1/H3: OV cancellation=0.7466, raw-O=0.7356, OV cosine=-0.4738, norm ratio=1.453, query cosine=+0.4679, query-change cosine=-0.4318
  cancellation A/B=0.74673/0.74658; writer trace diagnostics=[-2.2433  2.2279]
L07 H1/H2: OV cancellation=0.7573, raw-O=0.7912, OV cosine=-0.4660, norm ratio=1.532, query cosine=+0.2936, query-change cosine=-0.3360
  cancellation A/B=0.75746/0.75712; writer trace diagnostics=[-7.1935  3.6375]
L08 H0/H1: OV cancellation=0.8409, raw-O=0.9019, OV cosine=-0.3191, norm ratio=1.521, query cosine=+0.2775, query-change cosine=-0.2111
  cancellation A/B=0.84079/0.84103; writer trace diagnostics=[-6.495   3.7634]
L09 H1/H2: OV cancellation=0.7872, raw-O=0.8464, OV cosine=-0.4085, norm ratio=1.466, query cosine=+0.4499, query-change cosine=-0.4534
  cancellation A/B=0.78730/0.78719; writer trace diagnostics=[-5.8383  6.0247]
L17 H1/H2: OV cancellation=1.0164, raw-O=1.0029, OV cosine=+0.0355, norm ratio=0.679, query cosine=+0.2693, query-change cosine=-0.0381
  cancellation A/B=1.01637/1.01637; writer trace diagnostics=[8.5677 0.0794]
L17 H1/H3: OV cancellation=0.9671, raw-O=0.9669, OV cosine=-0.0656, norm ratio=0.841, query cosine=+0.1703, query-change cosine=+0.0042
  cancellation A/B=0.96712/0.96717; writer trace diagnostics=[ 8.5677 -0.4692]

BELIEF-SOURCE CONNECTION CHANGES IN HEAD-DIFFERENCE AND COMMON MODES
Columns: belief-minus-knowledge, belief-minus-question.
Differential always means head i MINUS head j; values B-A *1e4.
No numerical attention pattern or head output is constructed.
L11 H2-H3: differential=[1.5186 2.2107], common=[-0.6857 -1.8671]
L17 H0-H2: differential=[-0.329  -1.6709], common=[-0.1768 -1.1305]
L15 H1-H3: differential=[-1.8967 -0.2691], common=[ 0.0808 -0.2307]
L07 H0-H1: differential=[0.1172 0.0675], common=[0.662  0.2994]
L09 H1-H3: differential=[ 1.2833 -0.2878], common=[-0.0172  0.298 ]
L06 H0-H1: differential=[0.4525 0.3317], common=[ 0.0908 -0.0258]
L15 H1-H2: differential=[-2.1681 -1.2758], common=[0.2165 0.2727]
L15 H0-H1: differential=[2.2842 0.9338], common=[0.2746 0.1016]
L06 H1-H3: differential=[-0.2052 -0.4593], common=[-0.0328  0.038 ]
L07 H1-H2: differential=[0.3903 0.1532], common=[0.4083 0.189 ]
L08 H0-H1: differential=[-0.8061 -0.4319], common=[ 0.3218 -0.6701]
L09 H1-H2: differential=[ 1.5051 -0.8722], common=[-0.1281  0.5902]
L17 H1-H2: differential=[-1.9972 -0.6258], common=[-1.0109 -0.6079]
L17 H1-H3: differential=[ 0.0096 -0.4057], common=[-2.0144 -0.718 ]

Structural counts across all within-layer pairs:
Pairs with OV cosine < -0.5: 8 / 108
Pairs with cancellation < 0.5: 1 / 108
Pairs with cancellation < 0.5 AND query-matrix cosine > 0.8: 0 / 108
These conditions do not prove equal attention or a causal differential circuit.
No sequence, gate, activation, state normalization, or model output was evaluated.

```