OUTPUT of run 7 of at most 100: ``` CENTERED WEIGHT DIAGNOSTICS QKnorm; QK effective rank; trace/F; key-affine norm; fraction of key-affine energy at coordinate 21 L0H0 [ 0.293 1.893 -0.357 0.043 0.019] L0H1 [ 0.159 1.248 -0.619 0.013 0. ] L0H2 [ 0.107 1.209 -0.813 0.007 0. ] L0H3 [ 0.698 17.073 1.923 0.043 0.016] L0H4 [ 0.088 1.514 -0.519 0.017 0.009] L0H5 [ 0.034 1.229 -0.253 0.005 0.003] L1H0 [ 1.978 5.901 -0.884 3.974 0.831] L1H1 [ 1.843 5.076 -0.845 3.688 0.824] L1H2 [ 1.781 4.525 -1.06 3.051 0.822] L1H3 [ 1.787 4.33 -0.846 3.39 0.824] L1H4 [ 1.629 4.856 -1.234 2.329 0.742] L1H5 [ 1.863 5.366 -0.875 3.895 0.835] L2H0 [ 1.631 16.641 -0.953 2.02 0.804] L2H1 [ 2.154 31.479 -0.1 1.88 0.799] L2H2 [ 1.72 31.296 -0.754 1.608 0.767] L2H3 [ 1.623 31.026 -0.367 1.06 0.575] L2H4 [ 2.215 22.89 -0.442 2.305 0.802] L2H5 [ 2.264 30.297 -0.118 2.023 0.842] L3H0 [ 2.029 44.28 1.073 0.5 0.663] L3H1 [ 1.216 34.005 0.355 0.28 0.416] L3H2 [ 1.437 40.138 0.243 0.495 0.595] L3H3 [ 1.815 53.475 3.212 0.22 0.003] L3H4 [ 0.623 19.228 0.003 0.144 0.037] L3H5 [ 1.665 41.691 0.863 0.493 0.71 ] KEY-SIDE MATCHING, WITH BROKEN-OV-PAIRING CONTROLS subspace rank 16 L1H1: actual=0.690 null_mean=0.083 null_sd=0.240 null_max=0.828 L1H2: actual=0.474 null_mean=0.045 null_sd=0.239 null_max=0.744 L1H5: actual=0.552 null_mean=0.041 null_sd=0.252 null_max=0.774 L2H4: actual=0.796 null_mean=0.066 null_sd=0.233 null_max=0.796 L3H0: actual=-0.734 null_mean=-0.065 null_sd=0.227 null_max=0.559 L3H3: actual=2.724 null_mean=0.042 null_sd=0.247 null_max=0.684 L3H4: actual=0.652 null_mean=-0.006 null_sd=0.247 null_max=0.687 subspace rank 20 L1H1: actual=0.632 null_mean=0.087 null_sd=0.217 null_max=0.701 L1H2: actual=0.482 null_mean=0.037 null_sd=0.207 null_max=0.575 L1H5: actual=0.518 null_mean=0.036 null_sd=0.228 null_max=0.659 L2H4: actual=0.708 null_mean=0.058 null_sd=0.218 null_max=0.776 L3H0: actual=-0.629 null_mean=-0.062 null_sd=0.202 null_max=0.493 L3H3: actual=2.858 null_mean=0.049 null_sd=0.226 null_max=0.655 L3H4: actual=0.682 null_mean=-0.001 null_sd=0.224 null_max=0.618 subspace rank 24 L1H1: actual=0.580 null_mean=0.070 null_sd=0.204 null_max=0.574 L1H2: actual=0.508 null_mean=0.026 null_sd=0.184 null_max=0.443 L1H5: actual=0.480 null_mean=0.033 null_sd=0.211 null_max=0.619 L2H4: actual=0.727 null_mean=0.044 null_sd=0.202 null_max=0.793 L3H0: actual=-0.614 null_mean=-0.044 null_sd=0.184 null_max=0.476 L3H3: actual=2.716 null_mean=0.034 null_sd=0.212 null_max=0.586 L3H4: actual=0.593 null_mean=0.001 null_sd=0.205 null_max=0.558 subspace rank 28 L1H1: actual=0.573 null_mean=0.069 null_sd=0.192 null_max=0.533 L1H2: actual=0.494 null_mean=0.023 null_sd=0.175 null_max=0.427 L1H5: actual=0.483 null_mean=0.034 null_sd=0.198 null_max=0.602 L2H4: actual=0.645 null_mean=0.028 null_sd=0.188 null_max=0.659 L3H0: actual=-0.585 null_mean=-0.036 null_sd=0.175 null_max=0.457 L3H3: actual=2.614 null_mean=0.026 null_sd=0.203 null_max=0.600 L3H4: actual=0.523 null_mean=0.004 null_sd=0.191 null_max=0.487 subspace rank 32 L1H1: actual=0.567 null_mean=0.065 null_sd=0.186 null_max=0.506 L1H2: actual=0.478 null_mean=0.025 null_sd=0.168 null_max=0.401 L1H5: actual=0.489 null_mean=0.039 null_sd=0.186 null_max=0.573 L2H4: actual=0.598 null_mean=0.032 null_sd=0.177 null_max=0.655 L3H0: actual=-0.593 null_mean=-0.032 null_sd=0.167 null_max=0.473 L3H3: actual=2.505 null_mean=0.027 null_sd=0.190 null_max=0.554 L3H4: actual=0.477 null_mean=0.004 null_sd=0.181 null_max=0.486 L0H0 RELATIVE ROTATION CHECK: ROBUSTNESS TO SUBSPACE SIZE rank 24 best [(4, 0.24811147243940024), (3, 0.21456492278914205), (5, 0.13972628524098518), (-3, 0.08686549543323072), (-4, 0.05001577182505205)] rank 32 best [(4, 0.21871870766887486), (3, 0.16649449461447283), (5, 0.13166180385313234), (-3, 0.07522594557246681), (-4, 0.05806725638638227)] rank 40 best [(4, 0.15680824363317394), (5, 0.11052788607755092), (3, 0.10991298663568431), (-4, 0.060306698329549525), (-3, 0.05568532840411643)] rank 48 best [(4, 0.14490451598858572), (3, 0.12561806339108184), (5, 0.10801204262920121), (-4, 0.06819183410170707), (-5, 0.052344841947909476)] rank 56 best [(4, 0.13409521327824356), (5, 0.12145249348505678), (3, 0.10839131918587229), (-4, 0.051381216474243305), (6, 0.05000059909522994)] ```