files / problems / hilbert16-limit-cycles / compute / q1 / e-bezout-bautin / center_family_tests.json

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{
  "tests": [
    {
      "name": "hamiltonian_A1_B0_C0_D0",
      "kind": "hamiltonian",
      "coeffs": [
        0,
        0,
        0,
        3,
        0,
        0
      ],
      "L1": 0,
      "V1": "0",
      "V2": "0",
      "w1": 0,
      "ok_L1": true,
      "ok_V1": true,
      "ok_w1": true,
      "ok_V2": true,
      "ok": true
    },
    {
      "name": "hamiltonian_A0_B1_C0_D0",
      "kind": "hamiltonian",
      "coeffs": [
        -1,
        0,
        0,
        0,
        2,
        0
      ],
      "L1": 0,
      "V1": "0",
      "V2": "0",
      "w1": 0,
      "ok_L1": true,
      "ok_V1": true,
      "ok_w1": true,
      "ok_V2": true,
      "ok": true
    },
    {
      "name": "hamiltonian_A0_B0_C1_D0",
      "kind": "hamiltonian",
      "coeffs": [
        0,
        -2,
        0,
        0,
        0,
        1
      ],
      "L1": 0,
      "V1": "0",
      "V2": "0",
      "w1": 0,
      "ok_L1": true,
      "ok_V1": true,
      "ok_w1": true,
      "ok_V2": true,
      "ok": true
    },
    {
      "name": "hamiltonian_A1_B-2_C3_D-1",
      "kind": "hamiltonian",
      "coeffs": [
        2,
        -6,
        3,
        3,
        -4,
        3
      ],
      "L1": 0,
      "V1": "0",
      "V2": "0",
      "w1": 0,
      "ok_L1": true,
      "ok_V1": true,
      "ok_w1": true,
      "ok_V2": true,
      "ok": true
    },
    {
      "name": "reversible_yaxis",
      "kind": "reversible",
      "coeffs": [
        2,
        0,
        -3,
        0,
        7,
        0
      ],
      "L1": 0,
      "V1": "0",
      "V2": "0",
      "w1": 0,
      "ok_L1": true,
      "ok_V1": true,
      "ok_w1": true,
      "ok_V2": true,
      "ok": true
    },
    {
      "name": "holomorphic_alpha1",
      "kind": "holomorphic",
      "coeffs": [
        1,
        0,
        -1,
        0,
        2,
        0
      ],
      "L1": 0,
      "V1": "0",
      "V2": "0",
      "w1": 0,
      "ok_L1": true,
      "ok_V1": true,
      "ok_w1": true,
      "ok_V2": true,
      "ok": true
    },
    {
      "name": "holomorphic_alpha-2",
      "kind": "holomorphic",
      "coeffs": [
        -2,
        0,
        2,
        0,
        -4,
        0
      ],
      "L1": 0,
      "V1": "0",
      "V2": "0",
      "w1": 0,
      "ok_L1": true,
      "ok_V1": true,
      "ok_w1": true,
      "ok_V2": true,
      "ok": true
    },
    {
      "name": "holomorphic_alpha5",
      "kind": "holomorphic",
      "coeffs": [
        5,
        0,
        -5,
        0,
        10,
        0
      ],
      "L1": 0,
      "V1": "0",
      "V2": "0",
      "w1": 0,
      "ok_L1": true,
      "ok_V1": true,
      "ok_w1": true,
      "ok_V2": true,
      "ok": true
    },
    {
      "name": "shi_unperturbed",
      "kind": "shi",
      "coeffs": [
        -10,
        5,
        1,
        1,
        -25,
        0
      ],
      "L1": 0,
      "V1": "0",
      "V2": "0",
      "w1": 0,
      "ok_L1": true,
      "ok_V1": true,
      "ok_w1": true,
      "ok_V2": true,
      "ok": true
    },
    {
      "name": "generic_focus_a20_b20",
      "kind": "focus",
      "coeffs": [
        1,
        0,
        0,
        1,
        0,
        0
      ],
      "L1": -2,
      "V1": "-1/4",
      "V2": "67/48",
      "w1": -2,
      "ok_L1": true,
      "ok_V1": true,
      "ok_w1": true,
      "ok_V2": true,
      "ok": true
    }
  ]
}