OUTPUT of run 2 of at most 100:
```
L0 GAIN DISTRIBUTIONS
ln1_w.0 quantiles [-0.001  0.039  0.08   0.142  0.321  0.715  0.835  1.034]
largest coordinates [(162, 1.034000039100647), (60, 0.984000027179718), (223, 0.9800000190734863), (311, 0.9440000057220459), (239, 0.9380000233650208), (300, 0.9369999766349792), (35, 0.9369999766349792), (180, 0.9290000200271606), (136, 0.8960000276565552), (59, 0.8949999809265137), (178, 0.8899999856948853), (246, 0.8820000290870667), (4, 0.8679999709129333), (105, 0.8600000143051147), (99, 0.8560000061988831), (114, 0.8500000238418579), (228, 0.8450000286102295), (184, 0.8450000286102295), (152, 0.8429999947547913), (222, 0.8360000252723694), (158, 0.8299999833106995), (65, 0.8240000009536743), (360, 0.8199999928474426), (356, 0.800000011920929), (319, 0.7929999828338623), (351, 0.7860000133514404), (301, 0.7799999713897705), (273, 0.7799999713897705), (54, 0.7789999842643738), (79, 0.7770000100135803), (240, 0.7720000147819519), (143, 0.7580000162124634), (127, 0.75), (320, 0.7379999756813049), (39, 0.7269999980926514), (102, 0.7260000109672546), (235, 0.7260000109672546), (266, 0.7200000286102295), (78, 0.718999981880188), (72, 0.7059999704360962), (279, 0.6520000100135803), (358, 0.6309999823570251), (263, 0.6110000014305115), (40, 0.6060000061988831), (93, 0.6050000190734863)]
ln2_w.0 quantiles [0.004 0.341 0.554 0.788 1.043 1.268 1.313 1.507]
largest coordinates [(161, 1.5069999694824219), (164, 1.50600004196167), (155, 1.4539999961853027), (348, 1.4190000295639038), (376, 1.4049999713897705), (200, 1.4040000438690186), (23, 1.3960000276565552), (379, 1.3839999437332153), (220, 1.38100004196167), (292, 1.3739999532699585), (309, 1.371000051498413), (31, 1.3630000352859497), (118, 1.3539999723434448), (55, 1.3420000076293945), (375, 1.3380000591278076), (66, 1.3309999704360962), (261, 1.3279999494552612), (131, 1.3259999752044678), (117, 1.3200000524520874), (346, 1.312999963760376), (291, 1.312999963760376), (212, 1.312000036239624), (221, 1.309999942779541), (241, 1.3049999475479126), (262, 1.3040000200271606), (63, 1.3040000200271606), (150, 1.3040000200271606), (361, 1.3020000457763672), (315, 1.2990000247955322), (5, 1.2960000038146973), (18, 1.2949999570846558), (84, 1.2869999408721924), (364, 1.2829999923706055), (367, 1.2760000228881836), (37, 1.274999976158142), (306, 1.2740000486373901), (357, 1.2719999551773071), (365, 1.2710000276565552), (328, 1.2690000534057617), (123, 1.2669999599456787), (176, 1.2649999856948853), (248, 1.2610000371932983), (186, 1.2589999437332153), (338, 1.2569999694824219), (194, 1.2519999742507935)]

L0 SINGULAR VALUES
W_q.0 top 40 [8.252 8.223 7.963 7.819 7.68  7.642 7.519 7.205 6.948 6.819 6.388 6.165 5.801 5.555 5.13  4.947 4.854 4.52  4.268 3.951 3.591 3.527 3.285 3.125 3.026 2.928 2.707 2.511 2.471
 2.336 2.249 2.136 2.089 2.058 1.914 1.792 1.755 1.679 1.536 1.513] tail quantiles [0.054 0.141 0.304 0.563]
W_k.0 top 40 [7.646 7.436 7.33  6.912 6.829 6.672 6.472 6.446 6.393 6.118 6.009 5.943 5.629 5.505 4.99  4.901 4.699 4.293 4.066 4.018 3.708 3.529 3.343 3.068 2.987 2.874 2.696 2.586 2.412
 2.262 2.216 2.11  2.032 1.876 1.744 1.733 1.697 1.666 1.547 1.514] tail quantiles [0.067 0.167 0.352 0.641]
W_v.0 top 40 [4.339 3.529 3.27  3.166 2.982 2.647 2.589 2.552 2.436 2.381 2.256 2.162 2.13  2.103 2.042 2.017 2.003 1.973 1.928 1.897 1.843 1.787 1.711 1.665 1.628 1.564 1.558 1.441 1.4
 1.377 1.347 1.267 1.222 1.159 1.086 1.046 1.016 0.999 0.945 0.918] tail quantiles [0.059 0.15  0.308 0.522]
W_o.0 top 40 [7.103 6.607 4.268 2.77  2.503 2.285 2.264 2.218 2.151 2.139 2.105 2.08  2.059 2.026 2.003 1.987 1.928 1.89  1.836 1.825 1.804 1.731 1.72  1.694 1.685 1.581 1.543 1.518 1.507
 1.428 1.4   1.349 1.31  1.299 1.248 1.223 1.202 1.187 1.17  1.163] tail quantiles [0.022 0.062 0.159 0.391]
W_fc.0 top 40 [18.176 11.018  8.737  7.452  7.212  7.062  7.011  6.62   6.57   6.42   6.343  6.29   6.137  6.043  5.974  5.918  5.807  5.779  5.583  5.513  5.5    5.36   5.16   5.12   5.086
  5.032  4.899  4.879  4.819  4.732  4.601  4.533  4.479  4.441  4.268  4.198  4.031  3.974  3.869  3.824] tail quantiles [0.509 0.621 0.835 1.311]
W_proj.0 top 40 [9.826 7.351 6.265 5.869 5.797 5.657 5.516 5.45  5.333 5.242 5.197 5.094 4.98  4.904 4.863 4.819 4.793 4.689 4.627 4.595 4.557 4.523 4.411 4.378 4.283 4.216 4.143 4.125 4.048
 4.025 3.894 3.847 3.808 3.792 3.764 3.711 3.685 3.636 3.595 3.525] tail quantiles [0.278 0.367 0.65  1.853]

GAIN-WEIGHTED HEAD PRODUCTS (weight algebra only)
L0H0 norm 0.055 top sv [0.051 0.011 0.007 0.005 0.004 0.004] rank 1.13 bias key/query norms [0.014 0.021] eigenvalues [ 0.007+0.j    -0.004+0.j    -0.002+0.j    -0.   -0.001j -0.   +0.001j  0.   -0.001j]
L0H1 norm 0.03 top sv [0.025 0.01  0.005 0.004 0.003 0.003] rank 1.4 bias key/query norms [0.003 0.001] eigenvalues [-0.004+0.001j -0.004-0.001j  0.002+0.j    -0.001-0.001j -0.001+0.001j -0.001+0.j   ]
L0H2 norm 4.069 top sv [1.408 1.272 1.213 1.199 1.158 1.09 ] rank 8.35 bias key/query norms [0.143 0.189] eigenvalues [ 0.632+0.813j  0.632-0.813j -0.231+0.927j -0.231-0.927j  0.332+0.871j  0.332-0.871j]
L0H3 norm 0.395 top sv [0.359 0.119 0.078 0.042 0.033 0.027] rank 1.21 bias key/query norms [0.054 0.04 ] eigenvalues [ 0.262+0.j     0.078+0.j     0.01 -0.031j  0.01 +0.031j -0.017-0.005j -0.017+0.005j]
L0H4 norm 0.106 top sv [0.089 0.054 0.016 0.006 0.005 0.004] rank 1.42 bias key/query norms [0.011 0.01 ] eigenvalues [-0.028+0.028j -0.028-0.028j -0.008+0.j    -0.002+0.j    -0.001+0.001j -0.001-0.001j]
L0H5 norm 0.078 top sv [0.076 0.011 0.005 0.004 0.003 0.003] rank 1.04 bias key/query norms [0.016 0.025] eigenvalues [-0.031+0.j     0.001-0.002j  0.001+0.002j -0.001-0.j    -0.001+0.j    -0.001-0.001j]
L1H0 norm 0.886 top sv [0.597 0.482 0.248 0.194 0.132 0.112] rank 2.2 bias key/query norms [1.357 1.648] eigenvalues [ 0.028+0.106j  0.028-0.106j -0.078+0.j    -0.066-0.028j -0.066+0.028j -0.055-0.007j]
L1H1 norm 1.315 top sv [0.881 0.665 0.411 0.267 0.203 0.179] rank 2.23 bias key/query norms [2.285 2.331] eigenvalues [ 0.07 -0.191j  0.07 +0.191j -0.153+0.j    -0.107-0.024j -0.107+0.024j -0.108-0.006j]
L1H2 norm 1.549 top sv [0.994 0.857 0.383 0.325 0.264 0.227] rank 2.43 bias key/query norms [2.588 2.982] eigenvalues [ 0.097+0.246j  0.097-0.246j -0.168+0.j    -0.141-0.064j -0.141+0.064j -0.135-0.009j]
L1H3 norm 1.374 top sv [0.919 0.737 0.407 0.254 0.22  0.172] rank 2.24 bias key/query norms [2.351 2.347] eigenvalues [ 0.094-0.203j  0.094+0.203j -0.175+0.j    -0.113-0.008j -0.113+0.008j -0.107+0.j   ]
L1H4 norm 1.45 top sv [0.948 0.867 0.36  0.259 0.193 0.173] rank 2.34 bias key/query norms [2.29  2.948] eigenvalues [ 0.062-0.214j  0.062+0.214j -0.135-0.01j  -0.135+0.01j  -0.127+0.j    -0.099+0.j   ]
L1H5 norm 1.336 top sv [0.893 0.737 0.372 0.229 0.204 0.185] rank 2.24 bias key/query norms [1.753 2.461] eigenvalues [ 0.088+0.221j  0.088-0.221j -0.121+0.012j -0.121-0.012j -0.1  -0.004j -0.1  +0.004j]
L2H0 norm 2.438 top sv [0.694 0.629 0.602 0.563 0.53  0.506] rank 12.33 bias key/query norms [1.699 1.626] eigenvalues [0.053-0.306j 0.053+0.306j 0.036-0.183j 0.036+0.183j 0.118-0.08j  0.118+0.08j ]
L2H1 norm 2.068 top sv [0.527 0.449 0.432 0.417 0.41  0.395] rank 15.41 bias key/query norms [0.745 0.937] eigenvalues [0.027-0.144j 0.027+0.144j 0.126+0.011j 0.126-0.011j 0.109+0.037j 0.109-0.037j]
L2H2 norm 1.613 top sv [0.607 0.503 0.401 0.317 0.298 0.287] rank 7.06 bias key/query norms [0.756 1.564] eigenvalues [ 0.037+0.175j  0.037-0.175j -0.106+0.j     0.067+0.055j  0.067-0.055j -0.084-0.015j]
L2H3 norm 2.086 top sv [0.562 0.526 0.49  0.44  0.412 0.394] rank 13.8 bias key/query norms [1.463 1.378] eigenvalues [ 0.072-0.307j  0.072+0.307j -0.076-0.084j -0.076+0.084j -0.102+0.042j -0.102-0.042j]
L2H4 norm 2.344 top sv [0.628 0.604 0.532 0.508 0.467 0.451] rank 13.94 bias key/query norms [1.578 1.638] eigenvalues [ 0.061-0.303j  0.061+0.303j  0.077-0.102j  0.077+0.102j -0.081-0.091j -0.081+0.091j]
L2H5 norm 2.25 top sv [0.637 0.539 0.494 0.476 0.468 0.452] rank 12.46 bias key/query norms [1.509 1.454] eigenvalues [ 0.046-0.302j  0.046+0.302j -0.141+0.j    -0.071-0.108j -0.071+0.108j -0.119+0.037j]
L3H0 norm 2.232 top sv [0.451 0.42  0.418 0.405 0.401 0.395] rank 24.45 bias key/query norms [0.258 0.261] eigenvalues [0.182+0.j    0.141-0.078j 0.141+0.078j 0.158-0.019j 0.158+0.019j 0.143-0.056j]
L3H1 norm 1.829 top sv [0.328 0.317 0.309 0.306 0.301 0.298] rank 31.2 bias key/query norms [0.242 0.137] eigenvalues [0.174-0.06j  0.174+0.06j  0.171+0.067j 0.171-0.067j 0.149+0.082j 0.149-0.082j]
L3H2 norm 1.505 top sv [0.47  0.411 0.355 0.332 0.309 0.29 ] rank 10.24 bias key/query norms [0.29  0.277] eigenvalues [ 0.03 +0.134j  0.03 -0.134j  0.081-0.038j  0.081+0.038j -0.035-0.082j -0.035+0.082j]
L3H3 norm 1.599 top sv [0.497 0.402 0.336 0.304 0.296 0.295] rank 10.33 bias key/query norms [0.36  0.306] eigenvalues [ 0.023-0.159j  0.023+0.159j  0.099+0.j    -0.023+0.095j -0.023-0.095j  0.076-0.036j]
L3H4 norm 1.856 top sv [0.529 0.412 0.398 0.374 0.36  0.336] rank 12.32 bias key/query norms [0.307 0.261] eigenvalues [0.068+0.092j 0.068-0.092j 0.002+0.108j 0.002-0.108j 0.098-0.04j  0.098+0.04j ]
L3H5 norm 0.834 top sv [0.259 0.235 0.212 0.196 0.19  0.159] rank 10.36 bias key/query norms [0.165 0.089] eigenvalues [0.075-0.035j 0.075+0.035j 0.078+0.j    0.02 -0.048j 0.02 +0.048j 0.023-0.036j]

L0 QK COORDINATE CONCENTRATION
H 0 top coordinates [ 72  78 331 268 141 239  80 232 311 147 265  21 222 218  91 195 108 223 275  97 201 224 254 300] energy [0.234 0.227 0.179 0.178 0.175 0.173 0.172 0.167 0.155 0.154 0.152 0.148 0.148 0.147 0.143 0.14  0.138 0.136 0.135 0.133 0.132 0.131 0.129 0.129] ln1 [ 0.706  0.719 -0.001  0.     0.001  0.938  0.004 -0.001  0.944  0.001 -0.     0.021  0.836  0.001  0.03   0.069  0.074  0.98   0.065  0.002  0.145  0.153  0.331  0.937] ln2 [0.251 0.105 0.971 0.715 1.077 0.97  0.484 0.934 0.524 0.776 0.916 0.341 0.053 1.045 1.046 0.349 0.887 0.688 0.23  0.432 0.263 0.342 0.499 0.462]
H 1 top coordinates [ 78  72 141 254  80  58 195   6 232  21  95 268 187 218 265 275 331  25 147 222 149 219 334 286] energy [0.315 0.304 0.224 0.163 0.152 0.152 0.148 0.147 0.146 0.146 0.141 0.138 0.136 0.136 0.131 0.129 0.129 0.129 0.127 0.125 0.122 0.118 0.117 0.116] ln1 [ 0.719  0.706  0.001  0.331  0.004 -0.001  0.069  0.198 -0.001  0.021  0.1    0.     0.265  0.001 -0.     0.065 -0.001  0.356  0.001  0.836 -0.     0.028  0.001  0.002] ln2 [0.105 0.251 1.077 0.499 0.484 1.252 0.349 0.296 0.934 0.341 0.231 0.715 0.246 1.045 0.916 0.23  0.971 0.588 0.776 0.053 0.77  0.53  0.844 0.602]
H 2 top coordinates [170 162 299  93 358 283 366 342 128 209 153  60  16 101  35 372 204  69 382 374   6 353 110 373] energy [12.67  12.623 12.502 12.433 12.423 12.198 11.904 11.749 11.737 11.671 11.534 11.461 11.178 11.17  11.126 11.092 11.081 10.976 10.888 10.869 10.732 10.709 10.67  10.663] ln1 [0.539 1.034 0.411 0.605 0.631 0.371 0.384 0.495 0.336 0.455 0.341 0.984 0.493 0.295 0.937 0.205 0.254 0.421 0.264 0.404 0.198 0.371 0.334 0.419] ln2 [0.302 0.443 0.425 0.461 0.336 0.358 0.146 0.322 0.158 0.206 0.35  0.495 0.45  0.341 0.684 0.281 0.533 0.644 0.3   0.458 0.296 0.351 0.522 0.333]
H 3 top coordinates [ 78  72 222 311 173 208 254 178 223 195 360  60 132 239 162 300 205   4 273 340 246 356  25 224] energy [1.2   1.027 0.936 0.846 0.82  0.817 0.778 0.647 0.623 0.607 0.606 0.594 0.593 0.581 0.578 0.568 0.532 0.511 0.495 0.494 0.482 0.481 0.475 0.466] ln1 [0.719 0.706 0.836 0.944 0.132 0.062 0.331 0.89  0.98  0.069 0.82  0.984 0.127 0.938 1.034 0.937 0.122 0.868 0.78  0.04  0.882 0.8   0.356 0.153] ln2 [0.105 0.251 0.053 0.524 0.614 0.463 0.499 0.379 0.688 0.349 0.463 0.495 0.653 0.97  0.443 0.462 0.503 0.476 0.301 0.581 0.573 0.693 0.588 0.342]
H 4 top coordinates [ 78  64  72 368  42 356 222 138 365  35 275 306 122 131 146 258  19 183  25 215 254 331 280 273] energy [0.736 0.603 0.597 0.421 0.374 0.353 0.325 0.317 0.293 0.287 0.251 0.24  0.24  0.235 0.234 0.216 0.215 0.208 0.208 0.208 0.207 0.204 0.202 0.198] ln1 [ 0.719  0.133  0.706  0.154  0.047  0.8    0.836  0.093  0.125  0.937  0.065  0.055  0.049  0.067  0.055  0.087  0.165  0.161  0.356  0.072  0.331 -0.001  0.127  0.78 ] ln2 [0.105 1.062 0.251 1.166 1.021 0.693 0.053 0.614 1.271 0.684 0.23  1.274 0.735 1.326 0.611 0.607 0.414 0.177 0.588 1.152 0.499 0.971 1.005 0.301]
H 5 top coordinates [ 78  72 222 268 147  21 141 232 195  80 331 254 224  25 265 273 356 149 341  58 334 239  35 218] energy [0.354 0.324 0.211 0.207 0.186 0.185 0.17  0.166 0.164 0.164 0.164 0.159 0.14  0.136 0.135 0.135 0.126 0.124 0.124 0.122 0.118 0.117 0.117 0.116] ln1 [ 0.719  0.706  0.836  0.     0.001  0.021  0.001 -0.001  0.069  0.004 -0.001  0.331  0.153  0.356 -0.     0.78   0.8   -0.     0.161 -0.001  0.001  0.938  0.937  0.001] ln2 [0.105 0.251 0.053 0.715 0.776 0.341 1.077 0.934 0.349 0.484 0.971 0.499 0.342 0.588 0.916 0.301 0.693 0.77  0.781 1.252 0.844 0.97  0.684 1.045]

```