OUTPUT of run 6 of at most 100: ``` rank 16 whitened L0H2 singular values [0.617 0.575 0.566 0.53 0.521 0.507 0.493 0.472 0.468 0.443 0.419 0.405 0.391 0.37 0.083 0.017] Alignment with polar-factor powers, columns -4..4: L0H0 [-0.026 0.076 0.1024 -0.018 -0.0802 -0.1375 -0.0964 0.0035 0.1072] L0H1 [ 0.042 0.0077 0.007 -0.0733 -0.0518 -0.0235 0.0194 -0.0014 0.0007] L0H3 [-0.2319 -0.2995 -0.1674 0.1027 0.2253 0.2039 -0.0107 -0.2293 -0.2839] L0H4 [ 0.1195 0.0721 -0.047 -0.1282 -0.1541 0.0002 0.1201 0.0769 -0.0293] L0H5 [ 0.1541 0.1988 0.0798 -0.0938 -0.2027 -0.1472 0.0305 0.1617 0.1551] rank 20 whitened L0H2 singular values [0.646 0.605 0.596 0.588 0.558 0.541 0.527 0.525 0.51 0.501 0.461 0.436 0.429 0.427 0.414 0.394 0.38 0.291 0.243 0.235] Alignment with polar-factor powers, columns -4..4: L0H0 [-0.0006 0.0326 0.0802 0.0299 -0.0569 -0.0544 -0.0776 -0.0236 0.0441] L0H1 [ 0.0427 0.0052 -0.0097 -0.0298 -0.0768 0.0005 0.0062 0.005 -0.0008] L0H3 [-0.1689 -0.2718 -0.164 0.0997 0.1326 0.199 -0.0295 -0.2152 -0.2294] L0H4 [ 0.0984 0.0222 -0.0847 -0.1366 -0.1324 -0.0288 0.0773 0.0386 -0.0272] L0H5 [ 0.1218 0.1262 0.0674 -0.0784 -0.1501 -0.1069 0.0388 0.1069 0.1294] rank 24 whitened L0H2 singular values [0.695 0.655 0.624 0.617 0.606 0.591 0.571 0.565 0.543 0.54 0.521 0.504 0.495 0.488 0.454 0.428 0.412 0.39 0.351 0.338 0.283 0.201 0.095 0.025] Alignment with polar-factor powers, columns -4..4: L0H0 [-0.009 0.0091 0.0543 0.0603 0.051 -0.012 0.0038 -0.035 0.0292] L0H1 [ 0.0074 0.0155 0.0067 0.0354 -0.0988 0.0211 0.0051 -0.0227 -0.0332] L0H3 [-0.1302 -0.1833 -0.077 0.0664 0.0764 0.1546 0.0565 -0.0982 -0.1215] L0H4 [ 0.0085 0.0169 -0.0877 0.059 -0.1798 0.055 -0.082 0.0621 -0.077 ] L0H5 [ 0.027 0.0892 0.0264 0.0462 -0.1206 0.0031 -0.0609 0.0293 0.0147] rank 32 whitened L0H2 singular values [0.89 0.764 0.721 0.711 0.684 0.67 0.651 0.634 0.623 0.612 0.593 0.586 0.57 0.562 0.539 0.526 0.514 0.474 0.457 0.417 0.385 0.356 0.345 0.311 0.282 0.256 0.188 0.121 0.049 0.03 0.013 0. ] Alignment with polar-factor powers, columns -4..4: L0H0 [-0.0058 -0.0268 -0.0259 0.0236 0.0453 -0.0054 -0.0143 0.0132 0.0138] L0H1 [-0.0239 -0.0035 -0.0019 -0.0149 -0.0328 -0.023 0.0047 0.0314 0.0027] L0H3 [-0.0339 0.0386 0.0535 -0.0087 -0.0414 0.1335 0.013 -0.0334 0.0008] L0H4 [-0.0246 -0.0487 0.047 0.0855 -0.1421 -0.0777 0.0692 -0.0124 -0.0669] L0H5 [-0.0346 -0.0258 0.0829 0.0006 -0.1251 0.0222 0.092 -0.0212 -0.0558] Shared first-layer read subspace and positional-circuit overlap Shared-read singular values [12.4276 7.5882 3.5107 1.4158 1.1895 0.935 0.8361 0.731 0.6597 0.558 ] read direction 0 energy in L0H2 QK subspace 0.9829 read direction 1 energy in L0H2 QK subspace 0.9488 read direction 2 energy in L0H2 QK subspace 0.8122 read direction 3 energy in L0H2 QK subspace 0.4707 L3H1 x L0H2 induction-like composition, subspace-rank sensitivity 16 trace 3.2581 positive_mass 3.2621 negative_mass 0.0039 symmetry_fraction 0.9338 20 trace 3.4768 positive_mass 3.5445 negative_mass 0.0677 symmetry_fraction 0.9243 24 trace 3.4982 positive_mass 3.6684 negative_mass 0.1702 symmetry_fraction 0.9143 27 trace 3.5096 positive_mass 3.7617 negative_mass 0.252 symmetry_fraction 0.9062 32 trace 3.5278 positive_mass 3.8829 negative_mass 0.3551 symmetry_fraction 0.8961 40 trace 3.5302 positive_mass 4.081 negative_mass 0.5508 symmetry_fraction 0.8772 64 trace 3.5295 positive_mass 4.643 negative_mass 1.1134 symmetry_fraction 0.8402 ```