{
  "protocol": "Effective rank from the participation ratio of each field's spectrum; shared directions from principal angles between the two leading eigenspaces. No pairing enters beyond the alignment the fields already carry.",
  "width": 32,
  "rows": [
    {
      "label": "text-dim24",
      "size": 256,
      "correlation": 0.6614852336553844,
      "visual_effective_rank": 39.69132496762981,
      "text_effective_rank": 18.960351283615108,
      "shared_directions_cos_gt_0.7": 10,
      "principal_cosines_top8": [
        0.989,
        0.977,
        0.944,
        0.917,
        0.909,
        0.861,
        0.844,
        0.826
      ],
      "spectrum_profile": [
        {
          "index": 0,
          "best_text_overlap": 0.7251810720780995
        },
        {
          "index": 1,
          "best_text_overlap": 0.619527952553889
        },
        {
          "index": 2,
          "best_text_overlap": 0.6084134190397698
        },
        {
          "index": 3,
          "best_text_overlap": 0.4814861406651484
        },
        {
          "index": 4,
          "best_text_overlap": 0.47994567975555563
        },
        {
          "index": 5,
          "best_text_overlap": 0.36947588861735575
        },
        {
          "index": 6,
          "best_text_overlap": 0.3930833060287113
        },
        {
          "index": 7,
          "best_text_overlap": 0.3941645312523783
        },
        {
          "index": 8,
          "best_text_overlap": 0.2802360778324725
        },
        {
          "index": 9,
          "best_text_overlap": 0.2539445797009068
        },
        {
          "index": 10,
          "best_text_overlap": 0.2263224976556755
        },
        {
          "index": 11,
          "best_text_overlap": 0.24920478236754334
        },
        {
          "index": 12,
          "best_text_overlap": 0.23839820384648105
        },
        {
          "index": 13,
          "best_text_overlap": 0.32390692869819593
        },
        {
          "index": 14,
          "best_text_overlap": 0.18319221000344854
        },
        {
          "index": 15,
          "best_text_overlap": 0.17296430682365208
        }
      ]
    },
    {
      "label": "text-dim48",
      "size": 256,
      "correlation": 0.6922159706308013,
      "visual_effective_rank": 39.69132496762981,
      "text_effective_rank": 31.7662539087451,
      "shared_directions_cos_gt_0.7": 15,
      "principal_cosines_top8": [
        0.989,
        0.978,
        0.956,
        0.938,
        0.916,
        0.892,
        0.881,
        0.87
      ],
      "spectrum_profile": [
        {
          "index": 0,
          "best_text_overlap": 0.7532219338133863
        },
        {
          "index": 1,
          "best_text_overlap": 0.618182152081914
        },
        {
          "index": 2,
          "best_text_overlap": 0.6411572047678387
        },
        {
          "index": 3,
          "best_text_overlap": 0.5609614131227192
        },
        {
          "index": 4,
          "best_text_overlap": 0.5786521313263311
        },
        {
          "index": 5,
          "best_text_overlap": 0.6212040366073345
        },
        {
          "index": 6,
          "best_text_overlap": 0.6014409101136969
        },
        {
          "index": 7,
          "best_text_overlap": 0.3241154791286174
        },
        {
          "index": 8,
          "best_text_overlap": 0.33772536144199544
        },
        {
          "index": 9,
          "best_text_overlap": 0.46886651280081304
        },
        {
          "index": 10,
          "best_text_overlap": 0.339879585332424
        },
        {
          "index": 11,
          "best_text_overlap": 0.2697704959742108
        },
        {
          "index": 12,
          "best_text_overlap": 0.3089464131279491
        },
        {
          "index": 13,
          "best_text_overlap": 0.34824951852897246
        },
        {
          "index": 14,
          "best_text_overlap": 0.26546032832701905
        },
        {
          "index": 15,
          "best_text_overlap": 0.17108445671033506
        }
      ]
    },
    {
      "label": "text-dim128",
      "size": 256,
      "correlation": 0.7157944505313559,
      "visual_effective_rank": 39.69132496762981,
      "text_effective_rank": 47.98422953390366,
      "shared_directions_cos_gt_0.7": 16,
      "principal_cosines_top8": [
        0.987,
        0.978,
        0.96,
        0.941,
        0.934,
        0.922,
        0.899,
        0.89
      ],
      "spectrum_profile": [
        {
          "index": 0,
          "best_text_overlap": 0.8406807387214822
        },
        {
          "index": 1,
          "best_text_overlap": 0.6748753041856854
        },
        {
          "index": 2,
          "best_text_overlap": 0.7174150319587717
        },
        {
          "index": 3,
          "best_text_overlap": 0.4742164704027202
        },
        {
          "index": 4,
          "best_text_overlap": 0.7105187496542062
        },
        {
          "index": 5,
          "best_text_overlap": 0.5435228035336661
        },
        {
          "index": 6,
          "best_text_overlap": 0.5173316630294161
        },
        {
          "index": 7,
          "best_text_overlap": 0.3720956303455928
        },
        {
          "index": 8,
          "best_text_overlap": 0.4031225977235423
        },
        {
          "index": 9,
          "best_text_overlap": 0.5909531802492844
        },
        {
          "index": 10,
          "best_text_overlap": 0.373881786434362
        },
        {
          "index": 11,
          "best_text_overlap": 0.2816693575587397
        },
        {
          "index": 12,
          "best_text_overlap": 0.21822240451244762
        },
        {
          "index": 13,
          "best_text_overlap": 0.3929212823566225
        },
        {
          "index": 14,
          "best_text_overlap": 0.4024276537497661
        },
        {
          "index": 15,
          "best_text_overlap": 0.2659834432053085
        }
      ]
    },
    {
      "label": "text-dim256",
      "size": 256,
      "correlation": 0.7000821325988256,
      "visual_effective_rank": 39.69132496762981,
      "text_effective_rank": 53.019713413426004,
      "shared_directions_cos_gt_0.7": 17,
      "principal_cosines_top8": [
        0.985,
        0.972,
        0.956,
        0.95,
        0.937,
        0.928,
        0.918,
        0.907
      ],
      "spectrum_profile": [
        {
          "index": 0,
          "best_text_overlap": 0.8762239900209906
        },
        {
          "index": 1,
          "best_text_overlap": 0.6354174458640104
        },
        {
          "index": 2,
          "best_text_overlap": 0.6663671679367767
        },
        {
          "index": 3,
          "best_text_overlap": 0.5750584418168163
        },
        {
          "index": 4,
          "best_text_overlap": 0.6301701541550169
        },
        {
          "index": 5,
          "best_text_overlap": 0.5674100516608417
        },
        {
          "index": 6,
          "best_text_overlap": 0.5656412745853614
        },
        {
          "index": 7,
          "best_text_overlap": 0.40296826460328056
        },
        {
          "index": 8,
          "best_text_overlap": 0.39820202744406064
        },
        {
          "index": 9,
          "best_text_overlap": 0.53793615928177
        },
        {
          "index": 10,
          "best_text_overlap": 0.2919657497931648
        },
        {
          "index": 11,
          "best_text_overlap": 0.39265961704593844
        },
        {
          "index": 12,
          "best_text_overlap": 0.310451119516457
        },
        {
          "index": 13,
          "best_text_overlap": 0.5334702303308833
        },
        {
          "index": 14,
          "best_text_overlap": 0.24458631502415207
        },
        {
          "index": 15,
          "best_text_overlap": 0.306773828748064
        }
      ]
    }
  ],
  "reading": "The narrow modality is the one to upgrade. A shared count far below both effective ranks means each side is rich but they are rich about different things."
}