Independent matrix-eigenvalue consistency calculation

Source identity

Field	Recorded value
Source type	Current independent mathematical check
Original record	Independent matrix-eigenvalue consistency calculation
Date	Oct 17, 2026
Original SHA-256	5a4ab3d9cd6969d21cab80fb3107441259bbbc3aba33fbe11efa402846d87d5d
Reading-copy SHA-256	5a4ab3d9cd6969d21cab80fb3107441259bbbc3aba33fbe11efa402846d87d5d

Recovered source transcript

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{
  "scope": "Independent construction of the displayed default 16 by 16 matrices and NumPy eigvalsh comparison; no project engine executed.",
  "intra": {
    "maxSortedEigenvalueError": 0.06062892961653373,
    "matrixTrace": -3.309611977951234,
    "claimedSum": -3.109787604774802,
    "actualEigenvalues": [
      -0.4614526393617618,
      -0.4430807960208106,
      -0.3905197840158157,
      -0.34906319439066485,
      -0.33037360427929424,
      -0.27885680255918077,
      -0.27306969896382977,
      -0.21294607517886877,
      -0.20076499205910614,
      -0.14581677626643436,
      -0.12588376804812274,
      -0.08921218094257104,
      -0.06748840929208193,
      -0.009530156708230876,
      0.0070875454307438085,
      0.06135935470479626
    ],
    "claimedEigenvalues": [
      -0.43815824429873645,
      -0.43293591796161135,
      -0.39703666721774405,
      -0.3749597442677777,
      -0.3264779585908102,
      -0.27175072570443315,
      -0.24767939012389745,
      -0.179334395064977,
      -0.14406117540109187,
      -0.13250169984817894,
      -0.10869865712673392,
      -0.10158516399034254,
      -0.10132845467447818,
      -0.020995885551266656,
      0.06771647504727754,
      0.1
    ]
  },
  "inter": {
    "maxSortedEigenvalueError": 0.034543085607306935,
    "matrixTrace": -0.021079507399071162,
    "claimedSum": -0.3667821237175773,
    "actualEigenvalues": [
      -0.09814801324802032,
      -0.08699515942252457,
      -0.07143255480632649,
      -0.04814492472090783,
      -0.04334317011597132,
      -0.019834622254615998,
      -0.010538497459016307,
      0.002795581277807128,
      0.014548774166845172,
      0.02302041461374243,
      0.02878097327336585,
      0.04061773082858184,
      0.04217938026760268,
      0.05556902072696834,
      0.07438685631791797,
      0.07545870315548024
    ],
    "claimedEigenvalues": [
      -0.10151365725376438,
      -0.0958844784820114,
      -0.08074747547758834,
      -0.07904487366749174,
      -0.07469484930338599,
      -0.048427592205480596,
      -0.03373014959376787,
      -0.03159349945401534,
      -0.014053811862661022,
      0.012611701077134888,
      0.013815474337786056,
      0.01644525316258168,
      0.03,
      0.03286314749204481,
      0.039843770710611036,
      0.047328916802430954
    ]
  }
}

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