{
  "problem_id": "MATH1",
  "frobenius_traces": [
    2,
    -12,
    -19
  ],
  "char_poly_coeffs": [
    1,
    -2,
    8,
    -14,
    49
  ],
  "newton_slopes": [
    "0/1",
    "0/1",
    "1/1",
    "1/1"
  ],
  "hasse_witt_det": 1,
  "jacobian_p_rank": 2
}