OUTPUT of run 4 of at most 100: ``` Trace(A_lh B_0j)/||A_lh B_0j||, for j=0..5 (positive matching composition) L1H0 [0.051 0.094 0.134 0.102 0.096 0.1 ] L1H1 [0.018 0.017 0.065 0.216 0.013 0.041] L1H2 [-0.06 0.078 0.106 0.167 0.1 0.09 ] L1H3 [0.042 0.073 0.113 0.076 0.075 0.082] L1H4 [0.02 0.046 0.08 0.015 0.078 0.074] L1H5 [-0.043 0.052 0.102 0.198 0.061 0.062] L2H0 [-0.009 0.133 0.196 0.079 0.089 0.189] L2H1 [0.035 0.116 0.179 0.009 0.08 0.197] L2H2 [0.054 0.123 0.182 0.099 0.073 0.184] L2H3 [0.064 0.096 0.129 0.082 0.084 0.11 ] L2H4 [-0.031 0.128 0.186 0.159 0.109 0.18 ] L2H5 [0.018 0.112 0.187 0.01 0.081 0.21 ] L3H0 [-0.049 0.069 0.107 -0.177 0.047 0.085] L3H1 [ 0.034 0.069 0.093 -0.033 0.029 0.075] L3H2 [-0.006 0.046 0.081 0.033 0.002 0.016] L3H3 [-0.155 0.069 0.079 0.922 0.079 -0.055] L3H4 [0.069 0.172 0.173 0.124 0.19 0.127] L3H5 [-0.008 0.016 0.05 -0.062 -0.001 0.047] Strongest matching compositions over ALL preceding heads L1H0 [(np.float64(0.134), 0, 2), (np.float64(0.102), 0, 3), (np.float64(0.1), 0, 5), (np.float64(0.096), 0, 4)] L1H1 [(np.float64(0.216), 0, 3), (np.float64(0.065), 0, 2), (np.float64(0.041), 0, 5), (np.float64(0.018), 0, 0)] L1H2 [(np.float64(0.167), 0, 3), (np.float64(0.106), 0, 2), (np.float64(0.1), 0, 4), (np.float64(0.09), 0, 5)] L1H3 [(np.float64(0.113), 0, 2), (np.float64(0.082), 0, 5), (np.float64(0.076), 0, 3), (np.float64(0.075), 0, 4)] L1H4 [(np.float64(0.08), 0, 2), (np.float64(0.078), 0, 4), (np.float64(0.074), 0, 5), (np.float64(0.046), 0, 1)] L1H5 [(np.float64(0.198), 0, 3), (np.float64(0.102), 0, 2), (np.float64(0.062), 0, 5), (np.float64(0.061), 0, 4)] L2H0 [(np.float64(0.208), 1, 3), (np.float64(0.196), 0, 2), (np.float64(0.189), 0, 5), (np.float64(0.164), 1, 1)] L2H1 [(np.float64(0.197), 0, 5), (np.float64(0.179), 0, 2), (np.float64(0.116), 0, 1), (np.float64(0.08), 0, 4)] L2H2 [(np.float64(0.184), 0, 5), (np.float64(0.182), 0, 2), (np.float64(0.123), 0, 1), (np.float64(0.099), 0, 3)] L2H3 [(np.float64(0.129), 0, 2), (np.float64(0.11), 0, 5), (np.float64(0.096), 0, 1), (np.float64(0.084), 0, 4)] L2H4 [(np.float64(0.186), 0, 2), (np.float64(0.18), 0, 5), (np.float64(0.159), 0, 3), (np.float64(0.128), 0, 1)] L2H5 [(np.float64(0.21), 0, 5), (np.float64(0.187), 0, 2), (np.float64(0.112), 0, 1), (np.float64(0.081), 0, 4)] L3H0 [(np.float64(0.107), 0, 2), (np.float64(0.085), 0, 5), (np.float64(0.069), 0, 1), (np.float64(0.047), 0, 4)] L3H1 [(np.float64(0.093), 0, 2), (np.float64(0.075), 0, 5), (np.float64(0.072), 1, 2), (np.float64(0.069), 0, 1)] L3H2 [(np.float64(0.081), 0, 2), (np.float64(0.046), 0, 1), (np.float64(0.033), 0, 3), (np.float64(0.016), 0, 5)] L3H3 [(np.float64(0.922), 0, 3), (np.float64(0.806), 2, 5), (np.float64(0.562), 2, 1), (np.float64(0.514), 1, 0)] L3H4 [(np.float64(0.276), 2, 2), (np.float64(0.272), 2, 4), (np.float64(0.202), 2, 5), (np.float64(0.19), 0, 4)] L3H5 [(np.float64(0.05), 0, 2), (np.float64(0.047), 0, 5), (np.float64(0.016), 0, 1), (np.float64(-0.001), 0, 4)] L0H3 Q,K,V singular spectra W_q [2.962 2.894 2.873 2.845 2.806 2.792 2.766 2.756 2.703 2.634 2.588 2.561 2.544 2.512 2.447 2.438 2.426 2.336 2.33 2.259 2.143 2.098 1.968 1.946 1.838 1.756 1.721 1.685 1.575 1.54 1.495 1.463 1.423 1.378 1.283 1.136 1.116 1.094 1.06 1.023 0.991 0.969 0.962 0.897 0.864 0.824 0.778 0.77 0.731 0.725 0.698 0.688 0.663 0.637 0.614 0.589 0.573 0.556 0.532 0.519 0.497 0.474 0.443 0.352] W_k [3.362 3.238 3.209 3.181 3.099 3.086 3.024 2.999 2.951 2.923 2.856 2.765 2.731 2.654 2.622 2.539 2.478 2.407 2.31 2.217 2.134 2.057 1.976 1.806 1.76 1.737 1.61 1.6 1.536 1.42 1.296 1.229 1.198 1.172 1.117 1.058 1.016 0.988 0.942 0.878 0.85 0.812 0.785 0.751 0.72 0.711 0.704 0.685 0.641 0.61 0.601 0.578 0.562 0.542 0.532 0.526 0.505 0.492 0.484 0.453 0.433 0.421 0.396 0.366] W_v [2.102 1.948 1.903 1.866 1.843 1.819 1.769 1.755 1.674 1.651 1.629 1.621 1.589 1.553 1.52 1.465 1.417 1.303 1.16 1.101 0.945 0.93 0.848 0.818 0.79 0.779 0.745 0.739 0.73 0.701 0.688 0.658 0.642 0.622 0.618 0.605 0.575 0.565 0.543 0.522 0.515 0.491 0.481 0.466 0.446 0.43 0.41 0.4 0.378 0.366 0.359 0.349 0.345 0.342 0.336 0.329 0.318 0.313 0.313 0.298 0.287 0.279 0.271 0.262] MLP0 input spectrum [17.584 13.477 11.766 10.188 9.613 9.54 9.344 9.149 8.754 8.681 8.593 8.39 8.008 7.926 7.84 7.731 7.517 7.386 7.159 7.084 7.068 6.915 6.889 6.682 6.631 6.491 6.436 6.354 6.307 6.16 6.003 5.909 5.835 5.661 5.466 5.307 5.289 5.132 5.047 4.957 4.895 4.443 4.367 4.111 4.038 3.8 3.63 3.408 3.226 3.154 2.964 2.947 2.817 2.635 2.605 2.501 2.481 2.393 2.351 2.276 2.201 2.148 2.136 2.101 2.066 2.047 1.993 1.957 1.89 1.858 1.85 1.833 1.781 1.745 1.734 1.726 1.71 1.675 1.666 1.644 1.625 1.603 1.579 1.555 1.55 1.533 1.518 1.506 1.492 1.464 1.457 1.437 1.428 1.414 1.404 1.398 1.381 1.374 1.372 1.362] Positional-like QK L0H3 versus value subspaces: squared overlap 16 Q/K 0.62027174 Q/V 0.01773982 K/V 0.018137278 24 Q/K 0.7562537 Q/V 0.08100366 K/V 0.090799265 28 Q/K 0.74191415 Q/V 0.15339868 K/V 0.16993944 32 Q/K 0.73780423 Q/V 0.22249849 K/V 0.24094298 40 Q/K 0.70587623 Q/V 0.32280862 K/V 0.35391036 ```