=== POSITIONAL-KERNEL AMPLITUDE/PHASE HYPOTHESIS ===
Energy is measured across Fourier coefficient matrices, not attention scores.
The residual category changes the underlying feature-matching templates.
 L H amplitude% phase% remainder% control_explained%[min,median,max]
 0 0     0.3276   0.1228    99.5497 [  0.3543,  0.4908,  0.7172]
 0 1     0.2254   0.1118    99.6627 [  0.2689,  0.3876,  0.4711]
 0 2     0.2147   0.1262    99.6591 [  0.3545,  0.5670,  0.7806]
 0 3     0.1884   0.1066    99.7050 [  0.2995,  0.3461,  0.4253]
 1 0     0.2045   0.0701    99.7255 [  0.1734,  0.2344,  0.2681]
 1 1     0.2238   0.0842    99.6920 [  0.1739,  0.2020,  0.2287]
 1 2     0.1738   0.0654    99.7608 [  0.1899,  0.2173,  0.2703]
 1 3     0.2120   0.0588    99.7291 [  0.1764,  0.2090,  0.2745]
 2 0     0.2558   0.0997    99.6445 [  0.2419,  0.2914,  0.3220]
 2 1     0.2004   0.1083    99.6913 [  0.2544,  0.2696,  0.3938]
 2 2     0.2162   0.0847    99.6991 [  0.2290,  0.2795,  0.3515]
 2 3     0.2035   0.0762    99.7203 [  0.2177,  0.2627,  0.3249]
 3 0     0.2395   0.1575    99.6030 [  0.2633,  0.3596,  0.4681]
 3 1     0.1928   0.1016    99.7057 [  0.2525,  0.3016,  0.3698]
 3 2     0.1988   0.1285    99.6727 [  0.2718,  0.3387,  0.4157]
 3 3     0.2112   0.1506    99.6382 [  0.3162,  0.3834,  0.4929]
 4 0     0.9152   0.0615    99.0233 [  0.5006,  0.7596,  1.1846]
 4 1     0.6230   0.0584    99.3186 [  0.5427,  0.6881,  1.0586]
 4 2     0.5583   0.0606    99.3811 [  0.5501,  0.6987,  0.9691]
 4 3     0.7991   0.0600    99.1409 [  0.5827,  0.7736,  1.3981]
 5 0     0.2360   0.1749    99.5892 [  0.3891,  0.5216,  0.8068]
 5 1     0.2770   0.1736    99.5494 [  0.3755,  0.5968,  0.7505]
 5 2     0.4010   0.1953    99.4037 [  0.3371,  0.4425,  0.6352]
 5 3     0.2760   0.1961    99.5280 [  0.3179,  0.4481,  0.6480]
 6 0     0.3059   0.1432    99.5509 [  0.3910,  0.4660,  0.6061]
 6 1     0.4159   0.1881    99.3960 [  0.4169,  0.5143,  0.6819]
 6 2     0.2475   0.1417    99.6109 [  0.3497,  0.4566,  0.5387]
 6 3     0.2904   0.1839    99.5257 [  0.3826,  0.4627,  0.5288]
 7 0     0.8063   0.1050    99.0887 [  0.3957,  0.5149,  0.6342]
 7 1     0.3950   0.0829    99.5221 [  0.4017,  0.4949,  0.6307]
 7 2     0.4895   0.1017    99.4088 [  0.3534,  0.4731,  0.6350]
 7 3     0.3769   0.1143    99.5088 [  0.3549,  0.5296,  0.6298]
 8 0     0.5560   0.0810    99.3630 [  0.4027,  0.6180,  0.8377]
 8 1     0.5966   0.0781    99.3253 [  0.5302,  0.5970,  0.6947]
 8 2     0.6225   0.0856    99.2919 [  0.4525,  0.5185,  1.0290]
 8 3     0.4826   0.0816    99.4358 [  0.5408,  0.6086,  0.7474]
 9 0     0.4360   0.1338    99.4302 [  0.4689,  0.5735,  0.6636]
 9 1     0.7738   0.1377    99.0886 [  0.3786,  0.5842,  0.7392]
 9 2     0.5737   0.1335    99.2928 [  0.4287,  0.5132,  0.6240]
 9 3     0.7789   0.1366    99.0845 [  0.4906,  0.6109,  0.6898]
10 0     0.6968   0.1403    99.1629 [  0.7764,  0.8407,  1.3685]
10 1     0.9140   0.1569    98.9291 [  0.6959,  0.8146,  0.9497]
10 2     0.9475   0.1845    98.8680 [  0.9097,  1.0834,  1.3731]
10 3     0.6713   0.1695    99.1591 [  0.7157,  0.9235,  1.2655]
11 0     1.9186   0.3657    97.7157 [  1.0160,  1.4112,  2.6947]
11 1     1.6969   0.4223    97.8808 [  1.2984,  1.6160,  2.4846]
11 2     1.2994   0.4971    98.2035 [  1.1685,  1.5030,  1.8221]
11 3     1.2937   0.7347    97.9716 [  1.3770,  1.5283,  1.8610]
12 0     1.3786   0.5616    98.0598 [  1.3882,  1.6564,  2.0687]
12 1     1.4197   0.4314    98.1489 [  1.4118,  1.6666,  2.2686]
12 2     1.9120   0.5374    97.5506 [  1.4491,  1.8141,  2.4351]
12 3     1.2101   0.6980    98.0918 [  1.1970,  1.5800,  2.1530]
13 0     1.5939   0.7205    97.6855 [  1.4124,  1.6767,  2.2155]
13 1     1.5090   0.6022    97.8888 [  1.3333,  1.8183,  2.2720]
13 2     1.3865   0.4887    98.1248 [  1.4670,  1.8760,  2.1215]
13 3     1.2187   0.6590    98.1224 [  1.2740,  1.4384,  1.7439]
14 0     1.2031   0.3591    98.4378 [  1.3308,  2.1830,  2.9726]
14 1     0.9735   0.2496    98.7769 [  1.5649,  1.8438,  2.6103]
14 2     1.1391   0.3665    98.4944 [  1.1717,  1.7537,  2.7256]
14 3     1.9896   0.2927    97.7177 [  1.3153,  1.5233,  2.4620]
15 0     2.2383   0.4508    97.3109 [  1.9350,  2.2803,  2.5996]
15 1     2.4253   0.4257    97.1490 [  1.6773,  2.2297,  3.0317]
15 2     1.6212   0.4489    97.9299 [  1.7872,  2.1734,  2.4952]
15 3     2.6277   0.4678    96.9045 [  1.7194,  2.4706,  2.8787]
16 0     1.4892   0.5332    97.9776 [  1.7627,  1.9171,  2.4445]
16 1     1.7220   0.4237    97.8543 [  1.5555,  1.8985,  2.3479]
16 2     2.0754   0.4787    97.4459 [  1.5224,  1.9345,  2.3966]
16 3     1.9836   0.5338    97.4826 [  1.7532,  1.9946,  2.3085]
17 0     1.2006   0.5007    98.2988 [  1.6473,  2.2739,  2.6546]
17 1     2.9535   0.7401    96.3064 [  1.7132,  2.0738,  3.3809]
17 2     0.9587   0.9295    98.1118 [  1.7864,  2.0562,  2.3030]
17 3     2.1483   0.6471    97.2045 [  1.6715,  2.5191,  3.3627]

=== SUMMARY OF EXPLAINED FRACTIONS ===
Amplitude+phase fraction: min/median/max = [0.0024 0.0084 0.0369]
Heads with more than 50% explained: []
Largest explained fractions:
L17H1 amplitude=2.9535% phase=0.7401% control_median=2.0738% coefficient_relative_difference=0.018422
L15H3 amplitude=2.6277% phase=0.4678% control_median=2.4706% coefficient_relative_difference=0.011955
L15H1 amplitude=2.4253% phase=0.4257% control_median=2.2297% coefficient_relative_difference=0.013752
L17H3 amplitude=2.1483% phase=0.6471% control_median=2.5191% coefficient_relative_difference=0.013518
L15H0 amplitude=2.2383% phase=0.4508% control_median=2.2803% coefficient_relative_difference=0.014833
L16H2 amplitude=2.0754% phase=0.4787% control_median=1.9345% coefficient_relative_difference=0.011513
L16H3 amplitude=1.9836% phase=0.5338% control_median=1.9946% coefficient_relative_difference=0.010833
L12H2 amplitude=1.9120% phase=0.5374% control_median=1.8141% coefficient_relative_difference=0.023881
L13H0 amplitude=1.5939% phase=0.7205% control_median=1.6767% coefficient_relative_difference=0.012744
L11H0 amplitude=1.9186% phase=0.3657% control_median=1.4112% coefficient_relative_difference=0.028257

=== FREQUENCY-BAND DISTRIBUTIONS ===
Per band: baseline coefficient-energy share A/B, difference-energy share.
A frequency band is NOT an attended-distance distribution.
L00 sliding_attention: period<=32: A=0.0239,B=0.0239,delta=0.0377 | 32<period<=512: A=0.0819,B=0.0819,delta=0.1198 | 512<period<=8192: A=0.4057,B=0.4056,delta=0.3851 | period>8192: A=0.4885,B=0.4886,delta=0.4575
L01 sliding_attention: period<=32: A=0.0946,B=0.0946,delta=0.0918 | 32<period<=512: A=0.2201,B=0.2202,delta=0.2234 | 512<period<=8192: A=0.3805,B=0.3804,delta=0.4000 | period>8192: A=0.3048,B=0.3048,delta=0.2848
L02 sliding_attention: period<=32: A=0.0653,B=0.0653,delta=0.0753 | 32<period<=512: A=0.2600,B=0.2600,delta=0.2697 | 512<period<=8192: A=0.4025,B=0.4024,delta=0.4040 | period>8192: A=0.2722,B=0.2722,delta=0.2510
L03 sliding_attention: period<=32: A=0.0160,B=0.0160,delta=0.0517 | 32<period<=512: A=0.0721,B=0.0721,delta=0.1804 | 512<period<=8192: A=0.4118,B=0.4118,delta=0.3969 | period>8192: A=0.5002,B=0.5002,delta=0.3710
L04 sliding_attention: period<=32: A=0.0178,B=0.0178,delta=0.0243 | 32<period<=512: A=0.1211,B=0.1211,delta=0.1416 | 512<period<=8192: A=0.6543,B=0.6543,delta=0.6472 | period>8192: A=0.2068,B=0.2068,delta=0.1868
L05 full_attention: period<=32: A=0.0005,B=0.0005,delta=0.0022 | 32<period<=512: A=0.0051,B=0.0051,delta=0.0108 | 512<period<=8192: A=0.0331,B=0.0331,delta=0.0378 | period>8192: A=0.9613,B=0.9614,delta=0.9492
L06 sliding_attention: period<=32: A=0.0138,B=0.0138,delta=0.0344 | 32<period<=512: A=0.1347,B=0.1346,delta=0.2174 | 512<period<=8192: A=0.4723,B=0.4725,delta=0.4840 | period>8192: A=0.3792,B=0.3791,delta=0.2642
L07 sliding_attention: period<=32: A=0.0073,B=0.0073,delta=0.0226 | 32<period<=512: A=0.0529,B=0.0529,delta=0.1232 | 512<period<=8192: A=0.2932,B=0.2932,delta=0.3285 | period>8192: A=0.6466,B=0.6466,delta=0.5257
L08 sliding_attention: period<=32: A=0.0260,B=0.0260,delta=0.0414 | 32<period<=512: A=0.2112,B=0.2111,delta=0.2551 | 512<period<=8192: A=0.6446,B=0.6447,delta=0.6126 | period>8192: A=0.1181,B=0.1181,delta=0.0909
L09 sliding_attention: period<=32: A=0.0080,B=0.0080,delta=0.0273 | 32<period<=512: A=0.0600,B=0.0600,delta=0.1368 | 512<period<=8192: A=0.3395,B=0.3396,delta=0.3906 | period>8192: A=0.5925,B=0.5925,delta=0.4453
L10 sliding_attention: period<=32: A=0.0092,B=0.0092,delta=0.0250 | 32<period<=512: A=0.0555,B=0.0554,delta=0.1246 | 512<period<=8192: A=0.3764,B=0.3763,delta=0.4062 | period>8192: A=0.5589,B=0.5590,delta=0.4443
L11 full_attention: period<=32: A=0.0261,B=0.0261,delta=0.0363 | 32<period<=512: A=0.0664,B=0.0664,delta=0.1154 | 512<period<=8192: A=0.1619,B=0.1620,delta=0.2485 | period>8192: A=0.7456,B=0.7456,delta=0.5998
L12 sliding_attention: period<=32: A=0.0033,B=0.0033,delta=0.0194 | 32<period<=512: A=0.0431,B=0.0431,delta=0.1002 | 512<period<=8192: A=0.3327,B=0.3328,delta=0.3597 | period>8192: A=0.6209,B=0.6208,delta=0.5207
L13 sliding_attention: period<=32: A=0.0494,B=0.0494,delta=0.0988 | 32<period<=512: A=0.2107,B=0.2109,delta=0.3645 | 512<period<=8192: A=0.4678,B=0.4677,delta=0.3724 | period>8192: A=0.2721,B=0.2720,delta=0.1642
L14 sliding_attention: period<=32: A=0.0111,B=0.0111,delta=0.0189 | 32<period<=512: A=0.0882,B=0.0882,delta=0.1292 | 512<period<=8192: A=0.3539,B=0.3537,delta=0.3630 | period>8192: A=0.5468,B=0.5470,delta=0.4889
L15 sliding_attention: period<=32: A=0.0284,B=0.0284,delta=0.0499 | 32<period<=512: A=0.0782,B=0.0781,delta=0.1596 | 512<period<=8192: A=0.3522,B=0.3518,delta=0.3924 | period>8192: A=0.5412,B=0.5418,delta=0.3981
L16 sliding_attention: period<=32: A=0.0709,B=0.0709,delta=0.0900 | 32<period<=512: A=0.2036,B=0.2036,delta=0.2584 | 512<period<=8192: A=0.4015,B=0.4017,delta=0.4006 | period>8192: A=0.3240,B=0.3238,delta=0.2510
L17 full_attention: period<=32: A=0.0040,B=0.0040,delta=0.0140 | 32<period<=512: A=0.0105,B=0.0105,delta=0.0294 | 512<period<=8192: A=0.1364,B=0.1364,delta=0.1027 | period>8192: A=0.8492,B=0.8491,delta=0.8540

=== LEADING PHASE-ADJUSTMENT COEFFICIENTS ===
L11H3 pair=126 period=5063255.79 phase_B_vs_A_deg=+0.320343 coefficient_norm_B/A=1.000648 pair_explained_fraction=0.024480
L17H1 pair= 68 period=9675.64 phase_B_vs_A_deg=+0.242793 coefficient_norm_B/A=0.999676 pair_explained_fraction=0.057468
L12H2 pair=111 period=18489.70 phase_B_vs_A_deg=+0.128949 coefficient_norm_B/A=1.001353 pair_explained_fraction=0.014142
L12H3 pair=108 period=14899.78 phase_B_vs_A_deg=-0.214652 coefficient_norm_B/A=0.996625 pair_explained_fraction=0.048773
L12H3 pair=121 period=37969.06 phase_B_vs_A_deg=-0.214817 coefficient_norm_B/A=0.998712 pair_explained_fraction=0.035572
L12H2 pair=108 period=14899.78 phase_B_vs_A_deg=-0.227163 coefficient_norm_B/A=1.005066 pair_explained_fraction=0.038677
L12H3 pair=125 period=50632.56 phase_B_vs_A_deg=-0.178672 coefficient_norm_B/A=1.000348 pair_explained_fraction=0.033974
L11H0 pair= 21 period=60.61 phase_B_vs_A_deg=-0.328282 coefficient_norm_B/A=0.997090 pair_explained_fraction=0.030166
L12H0 pair=108 period=14899.78 phase_B_vs_A_deg=-0.141607 coefficient_norm_B/A=1.001609 pair_explained_fraction=0.040695
L11H3 pair=105 period=524873.77 phase_B_vs_A_deg=+0.179627 coefficient_norm_B/A=0.997091 pair_explained_fraction=0.116556
L11H3 pair=108 period=725570.92 phase_B_vs_A_deg=-0.196187 coefficient_norm_B/A=1.001033 pair_explained_fraction=0.018376
L11H2 pair=117 period=1916703.20 phase_B_vs_A_deg=-0.151000 coefficient_norm_B/A=0.998898 pair_explained_fraction=0.051920

Elapsed seconds: 1.86

Interpretation limits:
The projection distinguishes amplitude/phase adjustments from changes
to frequency-resolved matching templates. It does not evaluate attention.
Cross-frequency interference, normalization denominators, masks, and
softmax are not evaluated. Frequency energy does not imply token selection.
Neither a frequency shift nor a phase adjustment identifies sycophancy.
