files / problems / hilbert16-limit-cycles / compute / q3 / ss-cubic-l2 / certs / jets.json

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{
  "L1_formula": {
    "cubic": [
      {
        "coeff": 1,
        "term": "a12"
      },
      {
        "coeff": 3,
        "term": "a30"
      },
      {
        "coeff": 3,
        "term": "b03"
      },
      {
        "coeff": 1,
        "term": "b21"
      }
    ],
    "quad": [
      {
        "coeff": 1,
        "term": "a02*a11"
      },
      {
        "coeff": 2,
        "term": "a02*b02"
      },
      {
        "coeff": 1,
        "term": "a11*a20"
      },
      {
        "coeff": -2,
        "term": "a20*b20"
      },
      {
        "coeff": -1,
        "term": "b02*b11"
      },
      {
        "coeff": -1,
        "term": "b11*b20"
      }
    ]
  },
  "V2": {
    "gauge": "y^n coefficient of even F_n vanishes",
    "minus": "-sqrt(2)*mu*(23*mu^2+18)/96",
    "plus": "-sqrt(2)*mu*(23*mu^2+18)/96"
  },
  "minus": {
    "L1_E": "3*sqrt(2)*mu/2",
    "L1_cubic": "-sqrt(2)*mu/2",
    "L1_full": "sqrt(2)*mu",
    "jet": {
      "a02": "0",
      "a03": "0",
      "a11": "0",
      "a12": "0",
      "a20": "0",
      "a21": "0",
      "a30": "0",
      "b02": "0",
      "b03": "0",
      "b11": "sqrt(2)*mu",
      "b12": "0",
      "b20": "-3/2",
      "b21": "-sqrt(2)*mu/2",
      "b30": "1/2"
    }
  },
  "mu0_hamiltonian": {
    "H4_minus": "4*v^2+4*u^2-4*u^3+u^4",
    "H4_plus": "4*v^2+4*u^2+4*u^3+u^4"
  },
  "plus": {
    "L1_E": "3*sqrt(2)*mu/2",
    "L1_cubic": "-sqrt(2)*mu/2",
    "L1_full": "sqrt(2)*mu",
    "jet": {
      "a02": "0",
      "a03": "0",
      "a11": "0",
      "a12": "0",
      "a20": "0",
      "a21": "0",
      "a30": "0",
      "b02": "0",
      "b03": "0",
      "b11": "-sqrt(2)*mu",
      "b12": "0",
      "b20": "3/2",
      "b21": "-sqrt(2)*mu/2",
      "b30": "1/2"
    }
  },
  "schema": "hilbert16-ss-cubic-l2-jets/v1"
}