OUTPUT of run 8 of at most 100:
```
Directional composition: key trace(M B), query trace(M B.T), each divided by ||M||||B||.
A substantially key-specific positive match is more suggestive of an induction circuit.
L1H0 [('L0H5', -0.0034, -0.0471, 0.0437), ('L0H4', 0.0207, -0.0068, 0.0276), ('L0H1', -0.0001, -0.0222, 0.0221)]
L1H1 [('L0H4', 0.0191, -0.0246, 0.0437), ('L0H3', 0.0055, -0.0119, 0.0174), ('L0H5', 0.0154, 0.0072, 0.0082)]
L1H2 [('L0H4', 0.0326, -0.0233, 0.056), ('L0H5', -0.0027, -0.0332, 0.0305), ('L0H3', 0.0092, -0.0086, 0.0178)]
L1H3 [('L0H4', 0.0421, -0.0282, 0.0703), ('L0H3', 0.0063, -0.0094, 0.0157), ('L0H5', 0.0124, 0.0092, 0.0032)]
L1H4 [('L0H4', 0.0439, -0.0262, 0.0701), ('L0H5', 0.0094, -0.0234, 0.0328), ('L0H3', 0.0114, -0.0045, 0.0159)]
L1H5 [('L0H5', 0.0128, -0.0122, 0.025), ('L0H4', -0.0036, -0.0203, 0.0167), ('L0H3', -0.0004, -0.0077, 0.0073)]
L2H0 [('L0H4', 0.0099, -0.0047, 0.0146), ('L1H2', -0.0003, -0.0129, 0.0127), ('L0H3', 0.0078, 0.0008, 0.007)]
L2H1 [('L0H5', 0.0776, -0.0398, 0.1174), ('L1H2', 0.0482, -0.0636, 0.1118), ('L1H4', 0.0476, -0.0495, 0.0971)]
L2H2 [('L0H4', 0.02, -0.0077, 0.0276), ('L0H0', 0.0114, 0.0063, 0.005), ('L0H3', 0.0015, -0.0021, 0.0035)]
L2H3 [('L0H4', 0.0396, -0.009, 0.0486), ('L0H0', 0.0177, 0.0052, 0.0126), ('L0H3', 0.0066, -0.0018, 0.0084)]
L2H4 [('L0H4', 0.0246, -0.0048, 0.0294), ('L0H3', 0.0101, -0.0014, 0.0115), ('L0H5', 0.0018, -0.0006, 0.0024)]
L2H5 [('L1H2', 0.0095, -0.012, 0.0215), ('L0H4', 0.0188, -0.0023, 0.0211), ('L1H5', 0.0068, -0.0092, 0.016)]
L3H0 [('L2H4', 0.0044, -0.0182, 0.0225), ('L0H5', 0.019, 0.0037, 0.0153), ('L0H4', 0.0098, -0.0003, 0.0101)]
L3H1 [('L2H2', 0.1104, -0.0164, 0.1268), ('L0H5', 0.061, -0.0198, 0.0808), ('L1H2', 0.038, -0.0323, 0.0703)]
L3H2 [('L0H4', 0.013, -0.0025, 0.0155), ('L0H0', 0.0062, 0.0017, 0.0045), ('L0H3', -0.0008, -0.0014, 0.0006)]
L3H3 [('L2H5', 0.0045, -0.0134, 0.0179), ('L2H3', 0.0103, -0.0069, 0.0172), ('L2H4', 0.0148, 0.0019, 0.0129)]
L3H4 [('L0H5', 0.0101, -0.0033, 0.0134), ('L0H4', 0.0119, 0.0004, 0.0115), ('L1H1', 0.0069, -0.0039, 0.0108)]
L3H5 [('L2H2', 0.1836, -0.0354, 0.2189), ('L2H3', 0.055, -0.0604, 0.1154), ('L1H3', 0.0683, -0.0422, 0.1104)]

L0 QK energy in a value-defined candidate character subspace:
subspace dimension 16
0 query/key/both [0.0224 0.2603 0.0044]
1 query/key/both [0.0286 0.0327 0.0015]
2 query/key/both [0.0605 0.1709 0.0173]
3 query/key/both [0.0436 0.1638 0.0092]
4 query/key/both [0.0547 0.0596 0.0032]
5 query/key/both [0.0308 0.0319 0.0011]
subspace dimension 24
0 query/key/both [0.03   0.3361 0.0076]
1 query/key/both [0.0649 0.0706 0.0128]
2 query/key/both [0.0876 0.2359 0.0348]
3 query/key/both [0.0651 0.2143 0.0168]
4 query/key/both [0.0781 0.091  0.0077]
5 query/key/both [0.0536 0.057  0.0038]
subspace dimension 32
0 query/key/both [0.0502 0.3927 0.0154]
1 query/key/both [0.1885 0.2035 0.0842]
2 query/key/both [0.1574 0.3177 0.0624]
3 query/key/both [0.1216 0.3235 0.0365]
4 query/key/both [0.113  0.1314 0.0162]
5 query/key/both [0.1712 0.1751 0.0323]

L1 attention query-bias key directions: pairwise cosine.
[[1.    0.798 0.808 0.801 0.81  0.757]
 [0.798 1.    0.923 0.924 0.921 0.897]
 [0.808 0.923 1.    0.899 0.9   0.868]
 [0.801 0.924 0.899 1.    0.926 0.899]
 [0.81  0.921 0.9   0.926 1.    0.883]
 [0.757 0.897 0.868 0.899 0.883 1.   ]]

```