Shared final learned diagonal: min/max 0.0859375 301.0
Neighbor pairs: 512
Supported contrast-space rank: 512
Regularized covariance-weighting exponents: [0.0, 0.25, 0.5]
0 = empirical contrast weighting; 0.5 approximately equalizes supported directions.
No model hidden state is normalized or evaluated.

EXACT-TIED-CONTRAST WEIGHT OPERATORS
Balanced operator H = sqrt(D_final) @ M @ inverse_sqrt(D_final).
Only the symmetric part contributes to an identity-preserving quadratic form.
No such form is evaluated as a model computation on an input.

L17H1
 QK: prior row-normalized B-A measure*1e4=-7.98113
  exact-tied geometry: alpha | midpoint / B-A, common denominator, *1e4
   0.00 |  +409.88841 /    -1.01248
   0.25 |  +211.82690 /    -0.59970
   0.50 |   +66.95587 /    -0.21524
  midpoint symmetric-operator spectrum: positive/negative energy=0.9513/0.0487; direction counts=223/222
  difference symmetric-operator spectrum: positive/negative energy=0.4044/0.5956; direction counts=253/255; eigenvalue range=(-254.8532248912656, 203.55844711998233)
 OV: prior row-normalized B-A measure*1e4=-0.14804
  exact-tied geometry: alpha | midpoint / B-A, common denominator, *1e4
   0.00 |  +132.72572 /    -0.07297
   0.25 |  +143.34580 /    -0.02215
   0.50 |  +140.31787 /    -0.01337
  midpoint symmetric-operator spectrum: positive/negative energy=0.9281/0.0719; direction counts=256/255
  difference symmetric-operator spectrum: positive/negative energy=0.4861/0.5139; direction counts=257/255; eigenvalue range=(-21.584047282981476, 18.307407977956466)

L14H0
 QK: prior row-normalized B-A measure*1e4=+8.21726
  exact-tied geometry: alpha | midpoint / B-A, common denominator, *1e4
   0.00 |   +36.39468 /    +0.80226
   0.25 |   +20.44023 /    +0.42497
   0.50 |    +8.37015 /    +0.13598
  midpoint symmetric-operator spectrum: positive/negative energy=0.6159/0.3841; direction counts=232/232
  difference symmetric-operator spectrum: positive/negative energy=0.7114/0.2886; direction counts=256/255; eigenvalue range=(-199.9667014087476, 443.4977554084287)
 OV: prior row-normalized B-A measure*1e4=+0.01781
  exact-tied geometry: alpha | midpoint / B-A, common denominator, *1e4
   0.00 |    -7.76356 /    +0.00968
   0.25 |    -7.99452 /    +0.00121
   0.50 |    -6.95978 /    -0.00303
  midpoint symmetric-operator spectrum: positive/negative energy=0.4962/0.5038; direction counts=256/256
  difference symmetric-operator spectrum: positive/negative energy=0.4948/0.5052; direction counts=256/256; eigenvalue range=(-40.31692708500033, 38.29957587848091)

L17H3
 QK: prior row-normalized B-A measure*1e4=-0.76164
  exact-tied geometry: alpha | midpoint / B-A, common denominator, *1e4
   0.00 |  +296.38988 /    -0.08780
   0.25 |  +152.17695 /    -0.01037
   0.50 |   +47.41653 /    +0.00735
  midpoint symmetric-operator spectrum: positive/negative energy=0.8757/0.1243; direction counts=219/219
  difference symmetric-operator spectrum: positive/negative energy=0.4636/0.5364; direction counts=256/255; eigenvalue range=(-133.32921320376295, 96.93792817260149)
 OV: prior row-normalized B-A measure*1e4=-0.03266
  exact-tied geometry: alpha | midpoint / B-A, common denominator, *1e4
   0.00 |   -10.59466 /    -0.01568
   0.25 |    -9.85015 /    -0.00805
   0.50 |    -7.91589 /    -0.00503
  midpoint symmetric-operator spectrum: positive/negative energy=0.4775/0.5225; direction counts=255/256
  difference symmetric-operator spectrum: positive/negative energy=0.4872/0.5128; direction counts=256/256; eigenvalue range=(-18.991751494595906, 18.058864088967717)

L17H2
 QK: prior row-normalized B-A measure*1e4=-1.55870
  exact-tied geometry: alpha | midpoint / B-A, common denominator, *1e4
   0.00 |  +469.85686 /    -0.20835
   0.25 |  +237.39272 /    -0.06599
   0.50 |   +70.71480 /    -0.00990
  midpoint symmetric-operator spectrum: positive/negative energy=0.9828/0.0172; direction counts=218/218
  difference symmetric-operator spectrum: positive/negative energy=0.4579/0.5421; direction counts=256/255; eigenvalue range=(-115.76716813320203, 107.18128800081304)
 OV: prior row-normalized B-A measure*1e4=-0.02452
  exact-tied geometry: alpha | midpoint / B-A, common denominator, *1e4
   0.00 |   -26.64607 /    -0.01374
   0.25 |   -11.62570 /    +0.00018
   0.50 |    +0.15873 /    +0.00237
  midpoint symmetric-operator spectrum: positive/negative energy=0.4922/0.5078; direction counts=256/256
  difference symmetric-operator spectrum: positive/negative energy=0.5015/0.4985; direction counts=256/256; eigenvalue range=(-18.366877038917938, 18.70839869725325)

L11H1
 QK: prior row-normalized B-A measure*1e4=+4.59347
  exact-tied geometry: alpha | midpoint / B-A, common denominator, *1e4
   0.00 |   +19.98491 /    +0.33493
   0.25 |   +12.74007 /    +0.12310
   0.50 |    +6.95754 /    +0.03106
  midpoint symmetric-operator spectrum: positive/negative energy=0.5403/0.4597; direction counts=241/241
  difference symmetric-operator spectrum: positive/negative energy=0.5044/0.4956; direction counts=256/256; eigenvalue range=(-21.3993567784034, 19.387948848006705)
 OV: prior row-normalized B-A measure*1e4=+0.06201
  exact-tied geometry: alpha | midpoint / B-A, common denominator, *1e4
   0.00 |  +166.25450 /    +0.04115
   0.25 |  +133.40752 /    +0.01491
   0.50 |   +90.33620 /    -0.00605
  midpoint symmetric-operator spectrum: positive/negative energy=0.8100/0.1900; direction counts=256/255
  difference symmetric-operator spectrum: positive/negative energy=0.4990/0.5010; direction counts=256/256; eigenvalue range=(-7.227816725116296, 7.425381727771839)

Direction counts concern algebraic eigenspaces, not token frequencies or behavior.
The covariance controls reweight existing weight contrasts; they are not model ablations.
No sequence, activation function, gate, state-dependent normalization, or model output was run.
