OUTPUT of run 5 of at most 100: ``` L0H0 versus powers of L0H3 QK (weight products only) 1 0.1374 -0.0574 2 0.1115 -0.1454 3 -0.0655 -0.2198 4 -0.2895 -0.1894 5 -0.3667 -0.0247 6 -0.2073 0.1792 QK subspace rank 16 H0/H3 captured energies [0.132 0.587] H0 vs H3^2 0.232 commutator relative 0.315 QK subspace rank 24 H0/H3 captured energies [0.437 0.883] H0 vs H3^2 0.195 commutator relative 0.405 QK subspace rank 32 H0/H3 captured energies [0.603 0.945] H0 vs H3^2 0.151 commutator relative 0.438 QK subspace rank 40 H0/H3 captured energies [0.641 0.967] H0 vs H3^2 0.144 commutator relative 0.444 Shared L0 low-rank output space singular values [16.477 9.756 3.151 1.143 1.082 0.768 0.561 0.544 0.443 0.424 0.319 0.281] L0H0 Q-side/K-side 2D energy [0.068 0.051] key-bias fraction 0.015 2x2 [[0.004, 0.01], [0.004, 0.014]] key-bias [ 0.005 -0.003] L0H1 Q-side/K-side 2D energy [0.019 0.007] key-bias fraction 0.019 2x2 [[-0.002, -0.001], [0.001, -0.001]] key-bias [0.001 0.001] L0H2 Q-side/K-side 2D energy [0.009 0.002] key-bias fraction 0.007 2x2 [[-0.001, 0.001], [0.0, -0.001]] key-bias [0. 0.001] L0H3 Q-side/K-side 2D energy [0.027 0.029] key-bias fraction 0.077 2x2 [[0.027, 0.025], [-0.003, 0.013]] key-bias [-0.01 -0.006] L0H4 Q-side/K-side 2D energy [0.039 0.011] key-bias fraction 0.012 2x2 [[-0.001, 0.001], [0.0, -0.0]] key-bias [ 0.001 -0.001] L0H5 Q-side/K-side 2D energy [0.113 0.007] key-bias fraction 0.007 2x2 [[-0.0, -0.0], [0.001, -0.0]] key-bias [0. 0.] L1H0 Q-side/K-side 2D energy [0.041 0.394] key-bias fraction 0.846 2x2 [[0.042, 0.208], [-0.264, 0.127]] key-bias [ 2.919 -2.202] L1H1 Q-side/K-side 2D energy [0.051 0.427] key-bias fraction 0.846 2x2 [[0.041, 0.213], [-0.278, 0.136]] key-bias [ 2.664 -2.1 ] L1H2 Q-side/K-side 2D energy [0.032 0.456] key-bias fraction 0.85 2x2 [[0.044, 0.167], [-0.209, 0.101]] key-bias [ 2.223 -1.723] L1H3 Q-side/K-side 2D energy [0.049 0.459] key-bias fraction 0.845 2x2 [[0.046, 0.203], [-0.262, 0.123]] key-bias [ 2.395 -1.996] L1H4 Q-side/K-side 2D energy [0.023 0.422] key-bias fraction 0.79 2x2 [[0.053, 0.114], [-0.151, 0.097]] key-bias [ 1.467 -1.46 ] L1H5 Q-side/K-side 2D energy [0.058 0.416] key-bias fraction 0.846 2x2 [[0.041, 0.23], [-0.302, 0.141]] key-bias [ 2.787 -2.252] L2H0 Q-side/K-side 2D energy [0.063 0.226] key-bias fraction 0.829 2x2 [[0.036, 0.228], [-0.272, 0.109]] key-bias [ 1.418 -1.172] L2H1 Q-side/K-side 2D energy [0.029 0.087] key-bias fraction 0.806 2x2 [[0.031, 0.207], [-0.244, 0.098]] key-bias [ 1.283 -1.098] L2H2 Q-side/K-side 2D energy [0.03 0.117] key-bias fraction 0.771 2x2 [[0.033, 0.168], [-0.196, 0.085]] key-bias [ 1.06 -0.933] L2H3 Q-side/K-side 2D energy [0.01 0.086] key-bias fraction 0.612 2x2 [[0.027, 0.087], [-0.103, 0.05]] key-bias [ 0.58 -0.593] L2H4 Q-side/K-side 2D energy [0.039 0.15 ] key-bias fraction 0.829 2x2 [[0.025, 0.25], [-0.298, 0.103]] key-bias [ 1.648 -1.301] L2H5 Q-side/K-side 2D energy [0.029 0.095] key-bias fraction 0.846 2x2 [[0.032, 0.217], [-0.255, 0.095]] key-bias [ 1.488 -1.118] L3H0 Q-side/K-side 2D energy [0.01 0.039] key-bias fraction 0.687 2x2 [[0.022, 0.114], [-0.117, 0.019]] key-bias [ 0.3 -0.286] L3H1 Q-side/K-side 2D energy [0.009 0.058] key-bias fraction 0.48 2x2 [[0.028, 0.059], [-0.065, 0.019]] key-bias [ 0.118 -0.153] L3H2 Q-side/K-side 2D energy [0.016 0.061] key-bias fraction 0.616 2x2 [[0.023, 0.104], [-0.107, 0.025]] key-bias [ 0.272 -0.278] L3H3 Q-side/K-side 2D energy [0.001 0.001] key-bias fraction 0.008 2x2 [[0.009, 0.0], [-0.0, 0.005]] key-bias [-0.018 -0.007] L3H4 Q-side/K-side 2D energy [0.005 0.008] key-bias fraction 0.038 2x2 [[0.003, 0.008], [-0.007, 0.0]] key-bias [ 0.024 -0.014] L3H5 Q-side/K-side 2D energy [0.01 0.06] key-bias fraction 0.724 2x2 [[0.016, 0.094], [-0.093, 0.013]] key-bias [ 0.323 -0.268] L0H3 value spectrum [0.57 0.513 0.504 0.472 0.47 0.45 0.44 0.434 0.425 0.411 0.39 0.383 0.379 0.367 0.359 0.342 0.339 0.336 0.324 0.297 0.286 0.276 0.273 0.266 0.254 0.248 0.245 0.241 0.237 0.231 0.225 0.223 0.22 0.21 0.206 0.204 0.197 0.194 0.183 0.18 0.173 0.169 0.16 0.151 0.15 0.138 0.133 0.132 0.124 0.121 0.116 0.11 0.108 0.107 0.103 0.101 0.097 0.093 0.09 0.087 0.085 0.081 0.077 0.072] Token-candidate subspace rank 16 L3H3 QK@L0H3 OV trace/norm 2.724 Token-candidate subspace rank 20 L3H3 QK@L0H3 OV trace/norm 2.858 Token-candidate subspace rank 24 L3H3 QK@L0H3 OV trace/norm 2.716 Token-candidate subspace rank 28 L3H3 QK@L0H3 OV trace/norm 2.614 Token-candidate subspace rank 32 L3H3 QK@L0H3 OV trace/norm 2.505 ```