OUTPUT of run 12 of at most 60:
```
=== JOINT MATCHING-WRITING ALIGNMENT ===
C = scaled OV coefficient; M = canonical positional QK numerator.
Alignment = Frobenius cosine(C,M). Delta_cos = cosine(deltaC,deltaM).
Offsets receive equal descriptive weight, not assumed prompt frequencies.
 L H alignment_A alignment_B       B-A        delta_cos
 0 0  -0.0313429  -0.0313256  +0.00001728   +0.0032762
 0 1  -0.0092405  -0.0092653  -0.00002478   +0.0038623
 0 2  -0.0261146  -0.0260880  +0.00002658   -0.0046712
 0 3  +0.0002436  +0.0002659  +0.00002223   +0.0001494
 1 0  -0.0004504  -0.0004576  -0.00000723   -0.0002814
 1 1  -0.0005955  -0.0005923  +0.00000322   -0.0012310
 1 2  +0.0054960  +0.0054951  -0.00000091   +0.0002554
 1 3  -0.0018268  -0.0018274  -0.00000057   +0.0004091
 2 0  +0.0006664  +0.0006721  +0.00000569   -0.0006796
 2 1  -0.0037418  -0.0037401  +0.00000170   -0.0005304
 2 2  -0.0055015  -0.0054898  +0.00001172   +0.0012988
 2 3  -0.0049458  -0.0049513  -0.00000553   +0.0005031
 3 0  -0.0012138  -0.0012212  -0.00000741   -0.0004374
 3 1  -0.0042104  -0.0042401  -0.00002971   +0.0005187
 3 2  +0.0023458  +0.0023505  +0.00000467   +0.0006231
 3 3  -0.0009309  -0.0009345  -0.00000363   +0.0003983
 4 0  -0.0038763  -0.0038779  -0.00000162   +0.0022956
 4 1  -0.0048967  -0.0048598  +0.00003690   +0.0017508
 4 2  -0.0056986  -0.0056828  +0.00001579   -0.0005820
 4 3  -0.0130829  -0.0130481  +0.00003474   -0.0011373
 5 0  -0.0022902  -0.0022887  +0.00000144   -0.0001931
 5 1  -0.0073428  -0.0073328  +0.00001001   +0.0025712
 5 2  +0.0067611  +0.0067321  -0.00002899   -0.0002691
 5 3  -0.0149179  -0.0149080  +0.00000984   -0.0016360
 6 0  +0.0306001  +0.0306927  +0.00009253   +0.0029355
 6 1  -0.0020554  -0.0020420  +0.00001349   -0.0039671
 6 2  -0.0079262  -0.0079101  +0.00001607   -0.0004032
 6 3  +0.0432133  +0.0432105  -0.00000272   +0.0043653
 7 0  +0.0780246  +0.0780497  +0.00002506   -0.0035811
 7 1  -0.0786008  -0.0787023  -0.00010145   +0.0032985
 7 2  +0.0317990  +0.0318471  +0.00004816   -0.0012261
 7 3  +0.0066667  +0.0066358  -0.00003086   +0.0002532
 8 0  -0.0080827  -0.0080962  -0.00001345   -0.0016141
 8 1  +0.0092570  +0.0092867  +0.00002969   +0.0033471
 8 2  -0.0117429  -0.0116903  +0.00005258   +0.0009957
 8 3  +0.0199813  +0.0200162  +0.00003484   -0.0024171
 9 0  +0.0300697  +0.0300495  -0.00002025   +0.0012829
 9 1  -0.1151544  -0.1151391  +0.00001525   +0.0036943
 9 2  +0.0400928  +0.0401118  +0.00001902   +0.0003693
 9 3  +0.0538091  +0.0538323  +0.00002330   +0.0008099
10 0  +0.0526376  +0.0526717  +0.00003415   +0.0046391
10 1  -0.0371786  -0.0373585  -0.00017985   +0.0048624
10 2  +0.0829974  +0.0830265  +0.00002913   +0.0030135
10 3  -0.0866251  -0.0865331  +0.00009200   +0.0070618
11 0  -0.0018955  -0.0019285  -0.00003303   -0.0021437
11 1  -0.0040753  -0.0040291  +0.00004623   -0.0016124
11 2  -0.0139018  -0.0138941  +0.00000768   -0.0033823
11 3  +0.0074309  +0.0074286  -0.00000238   -0.0009253
12 0  -0.0018767  -0.0018761  +0.00000064   -0.0000555
12 1  +0.0027326  +0.0027537  +0.00002101   -0.0011029
12 2  +0.0101695  +0.0101653  -0.00000422   -0.0021264
12 3  +0.0083448  +0.0083245  -0.00002024   +0.0000297
13 0  +0.0076514  +0.0076499  -0.00000145   -0.0009338
13 1  +0.0038675  +0.0038704  +0.00000285   +0.0015577
13 2  -0.0019015  -0.0019023  -0.00000086   -0.0002623
13 3  -0.0403760  -0.0403866  -0.00001063   -0.0011859
14 0  -0.0020920  -0.0020334  +0.00005869   -0.0038884
14 1  +0.0014018  +0.0014416  +0.00003974   -0.0005862
14 2  -0.0014560  -0.0014394  +0.00001665   -0.0034427
14 3  -0.0091322  -0.0091054  +0.00002675   -0.0049677
15 0  -0.0022815  -0.0022666  +0.00001489   +0.0020961
15 1  -0.0345954  -0.0346227  -0.00002728   +0.0009579
15 2  +0.0021432  +0.0021139  -0.00002932   +0.0013765
15 3  +0.0249427  +0.0249326  -0.00001014   -0.0004213
16 0  -0.0035735  -0.0035987  -0.00002515   -0.0007007
16 1  +0.0005395  +0.0005485  +0.00000897   +0.0011621
16 2  +0.0011987  +0.0011574  -0.00004124   -0.0005426
16 3  -0.0099102  -0.0099316  -0.00002137   +0.0001527
17 0  +0.0215289  +0.0215133  -0.00001557   -0.0037794
17 1  +0.0264344  +0.0264337  -0.00000075   +0.0008786
17 2  -0.0424114  -0.0424181  -0.00000668   +0.0001194
17 3  -0.0169875  -0.0169746  +0.00001285   -0.0036579

=== WITHIN-HEAD COORDINATION VERSUS ALL 24 HEAD PAIRINGS ===
Percentile is descriptive, NOT a behavioral p-value.
Heads share K/V parameters; observations are not independent.
 L actual_delta_cos permutation[min,median,max] percentile same_head_advantage_A same_head_advantage_B
 0       +0.0006542 [-0.0026687,-0.0008884,+0.0021956]     0.8333            -0.0195219            -0.0195054
 1       -0.0002120 [-0.0002120,+0.0002341,+0.0009759]     0.0417            -0.0004549            -0.0004588
 2       +0.0001480 [-0.0005417,+0.0000785,+0.0005717]     0.6667            -0.0031531            -0.0031526
 3       +0.0002757 [-0.0005538,-0.0001318,+0.0002757]     1.0000            -0.0011720            -0.0011818
 4       +0.0005818 [-0.0001879,+0.0006092,+0.0010730]     0.5000            -0.0058497            -0.0058478
 5       +0.0001182 [-0.0012987,+0.0001588,+0.0017667]     0.5000            -0.0023871            -0.0023755
 6       +0.0007326 [-0.0007364,+0.0002722,+0.0016474]     0.7917            +0.0220846            +0.0220941
 7       -0.0003139 [-0.0014674,-0.0003280,+0.0007809]     0.5417            +0.0044324            +0.0044197
 8       +0.0000779 [-0.0014324,+0.0001250,+0.0012701]     0.5000            -0.0000695            -0.0000744
 9       +0.0015391 [-0.0006859,+0.0018422,+0.0032123]     0.4167            -0.0035861            -0.0036073
10       +0.0048942 [+0.0007815,+0.0034086,+0.0054302]     0.9167            -0.0033978            -0.0034259
11       -0.0020159 [-0.0021253,-0.0008117,+0.0005600]     0.0833            -0.0034606            -0.0034515
12       -0.0008138 [-0.0008138,-0.0003520,+0.0002309]     0.0417            +0.0019944            +0.0019813
13       -0.0002061 [-0.0006024,+0.0002941,+0.0012823]     0.2917            -0.0090436            -0.0090468
14       -0.0032212 [-0.0032212,-0.0009902,+0.0011226]     0.0417            -0.0045330            -0.0045085
15       +0.0010023 [-0.0003167,+0.0004161,+0.0010847]     0.9583            -0.0102790            -0.0102853
16       +0.0000179 [-0.0008358,+0.0001933,+0.0012715]     0.4167            -0.0050805            -0.0050738
17       -0.0016098 [-0.0031144,-0.0019410,-0.0009984]     0.7083            -0.0088009            -0.0088111

=== DIRECTIONAL ALIGNMENT CHANGES ===
Heads with increased alignment in B: 40
Heads with decreased alignment in B: 32
Median B-A: 3.038135490074747e-06
Range B-A: (-0.0001798500936150485, 9.253280921297027e-05)

Largest absolute directional changes:
L10H1 B-A=-0.00017985; changes at offsets [0, 1, 16, 64, 256]=[-0.0002 -0.0002 -0.0002 -0.0002 -0.0001]
L07H1 B-A=-0.00010145; changes at offsets [0, 1, 16, 64, 256]=[-0.0001 -0.0001 -0.0001 -0.0001 -0.0001]
L06H0 B-A=+0.00009253; changes at offsets [0, 1, 16, 64, 256]=[0.0001 0.0001 0.0001 0.0001 0.0001]
L10H3 B-A=+0.00009200; changes at offsets [0, 1, 16, 64, 256]=[0.0001 0.0001 0.0001 0.     0.0001]
L14H0 B-A=+0.00005869; changes at offsets [0, 1, 16, 64, 256]=[0.     0.     0.0001 0.0001 0.0001]
L08H2 B-A=+0.00005258; changes at offsets [0, 1, 16, 64, 256]=[ 0.0001  0.0001  0.0001  0.0001 -0.    ]
L07H2 B-A=+0.00004816; changes at offsets [0, 1, 16, 64, 256]=[0.0001 0.0001 0.     0.0001 0.    ]
L11H1 B-A=+0.00004623; changes at offsets [0, 1, 16, 64, 256]=[0.0001 0.0001 0.     0.     0.0001]
L16H2 B-A=-0.00004124; changes at offsets [0, 1, 16, 64, 256]=[-0.     -0.     -0.0001 -0.     -0.    ]
L14H1 B-A=+0.00003974; changes at offsets [0, 1, 16, 64, 256]=[0.     0.     0.     0.0001 0.    ]
L04H1 B-A=+0.00003690; changes at offsets [0, 1, 16, 64, 256]=[ 0.0001  0.0001  0.0001  0.     -0.    ]
L08H3 B-A=+0.00003484; changes at offsets [0, 1, 16, 64, 256]=[ 0.0001  0.0001  0.0001  0.     -0.    ]

Strongest corresponding-head delta alignments:
L10H3 delta_cos=+0.0070618 alignment_change_B-A=+0.00009200
L14H3 delta_cos=-0.0049677 alignment_change_B-A=+0.00002675
L10H1 delta_cos=+0.0048624 alignment_change_B-A=-0.00017985
L00H2 delta_cos=-0.0046712 alignment_change_B-A=+0.00002658
L10H0 delta_cos=+0.0046391 alignment_change_B-A=+0.00003415
L06H3 delta_cos=+0.0043653 alignment_change_B-A=-0.00000272
L06H1 delta_cos=-0.0039671 alignment_change_B-A=+0.00001349
L14H0 delta_cos=-0.0038884 alignment_change_B-A=+0.00005869
L00H1 delta_cos=+0.0038623 alignment_change_B-A=-0.00002478
L17H0 delta_cos=-0.0037794 alignment_change_B-A=-0.00001557
L09H1 delta_cos=+0.0036943 alignment_change_B-A=+0.00001525
L17H3 delta_cos=-0.0036579 alignment_change_B-A=+0.00001285

Elapsed seconds: 3.02

Interpretation limits:
Matching-writing alignment is not evidence that a head copies user guesses.
It does not establish a recurrent feedback loop, selected token, activation,
or effect on an answer. State-dependent normalization and routing are omitted.
The permutation controls test anatomical pairing of weight-derived maps only.
No attention scores, probabilities, nonlinearities, or model inputs were evaluated.

```