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created_utc20261011T151727.736226Z
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{
  "created_utc": "20261011T151727.736226Z",
  "sources": {
    "experiments/canonical-orbit-response-checks.py": "ecbd626280ed9895380b54c7aa2122013f1c12225e446e8858be600071ea7509"
  },
  "exact_checks": [
    "static response equation",
    "reduced angular inertia",
    "circular radial equation",
    "radial Hessian",
    "mixed Hessian",
    "source Hessian",
    "positive Hessian determinant",
    "adiabatic radial clock",
    "four-to-one small-oscillation ratio",
    "full rotating equilibrium",
    "complete active characteristic polynomial",
    "complete transverse characteristic polynomial",
    "transverse discriminant",
    "lower transverse threshold",
    "upper transverse threshold",
    "all canonical Hamilton equations",
    "exact total rotational charge",
    "exact energy conservation"
  ],
  "symbolic": {
    "active_polynomial": "z**2*(4*M*g**4*omega**2*z**2 + 2*M*g**2*omega**2*z**2 + M*omega**2*z**2 + M*z**4 + 6*g**4*omega**2 + 3*g**2*omega**2 + g**2*z**2 + omega**2 + z**2)/M",
    "transverse_polynomial": "(omega**2 + z**2)*(2*M**2*g**2*omega**4 + 2*M**2*g**2*omega**2*z**2 + M**2*omega**4 + 2*M**2*omega**2*z**2 + M**2*z**4 - 3*M*g**2*omega**2 + M*g**2*z**2 - 2*M*omega**2 + 2*M*z**2 + g**2 + 1)/M**2",
    "radial_hessian": "Matrix([[g**4*omega**2 + 3*omega**2*(g**2 + 1)**2 - 2*omega**2*(2*g**2 + 1), -2*g**3*omega], [-2*g**3*omega, g**2 + 1]])",
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