files / problems / hilbert16-limit-cycles / compute / q3 / qq-t2-radial / certs / chebyshev.json

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{
  "T2": "2*t**2 - 1",
  "T2_prime": "4*t",
  "T2_coeffs": [
    -1,
    0,
    2
  ],
  "T2_prime_coeffs": [
    0,
    4
  ],
  "pell_m2": true,
  "square_free": true,
  "Sturm_(-1,1)": 1,
  "Sturm_I1": 0,
  "Sturm_I2": 0,
  "evaluations": {
    "T2(1)": [
      1,
      1
    ],
    "T2(-1)": [
      1,
      1
    ],
    "T2(0)": [
      -1,
      1
    ],
    "T2(1/2)": [
      -1,
      2
    ],
    "T2(-1/2)": [
      -1,
      2
    ],
    "T2'(0)": [
      0,
      1
    ],
    "T2'(1/2)": [
      2,
      1
    ],
    "T2'(-1/2)": [
      -2,
      1
    ],
    "T2'(1)": [
      4,
      1
    ],
    "T2'(-1)": [
      -4,
      1
    ]
  },
  "critical_point_is_branch_wall": true
}