files / problems / hilbert16-limit-cycles / compute / q3 / kk-plus-one / certs / identities.json

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{
  "L": [
    {
      "coeff": "-15",
      "y": 1
    },
    {
      "coeff": "4",
      "x": 1
    }
  ],
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    },
    {
      "coeff": "1/4",
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    },
    {
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      "y": 2
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    {
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      "x": 3
    }
  ],
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    {
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    {
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    {
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    },
    {
      "coeff": "-24",
      "x": 2
    },
    {
      "coeff": "-4",
      "x": 1,
      "y": 2
    },
    {
      "coeff": "-4",
      "x": 3
    }
  ],
  "Pt": [
    {
      "coeff": "-15/2"
    },
    {
      "coeff": "1",
      "y": 1
    },
    {
      "coeff": "-47/4",
      "x": 1
    },
    {
      "coeff": "-2",
      "y": 2
    },
    {
      "coeff": "-6",
      "x": 2
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    {
      "coeff": "-1",
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      "y": 2
    },
    {
      "coeff": "-1",
      "x": 3
    }
  ],
  "Q": [
    {
      "coeff": "1/4",
      "y": 1
    },
    {
      "coeff": "-1",
      "x": 1
    },
    {
      "coeff": "-1",
      "y": 3
    },
    {
      "coeff": "-1",
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      "y": 1
    }
  ],
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    {
      "coeff": "-15",
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    {
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    {
      "coeff": "-4",
      "y": 3
    },
    {
      "coeff": "-4",
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      "y": 1
    }
  ],
  "Qt": [
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      "coeff": "-2"
    },
    {
      "coeff": "-15/4",
      "y": 1
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    {
      "coeff": "-1",
      "x": 1
    },
    {
      "coeff": "-4",
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      "y": 1
    },
    {
      "coeff": "-1",
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    },
    {
      "coeff": "-1",
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      "y": 1
    }
  ],
  "R": [
    {
      "coeff": "225/2",
      "y": 1
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    {
      "coeff": "-30",
      "x": 1
    },
    {
      "coeff": "-15",
      "y": 2
    },
    {
      "coeff": "721/4",
      "x": 1,
      "y": 1
    },
    {
      "coeff": "-47",
      "x": 2
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    {
      "coeff": "30",
      "y": 3
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    {
      "coeff": "-8",
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      "y": 2
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    {
      "coeff": "90",
      "x": 2,
      "y": 1
    },
    {
      "coeff": "-24",
      "x": 3
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    {
      "coeff": "15",
      "x": 1,
      "y": 3
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    {
      "coeff": "-4",
      "x": 2,
      "y": 2
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    {
      "coeff": "15",
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      "y": 1
    },
    {
      "coeff": "-4",
      "x": 4
    }
  ],
  "S": [
    {
      "coeff": "30",
      "y": 1
    },
    {
      "coeff": "-8",
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    {
      "coeff": "225/4",
      "y": 2
    },
    {
      "coeff": "-4",
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    },
    {
      "coeff": "60",
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      "y": 2
    },
    {
      "coeff": "-16",
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    {
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      "y": 4
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    {
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    {
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      "x": 2,
      "y": 2
    },
    {
      "coeff": "-4",
      "x": 3,
      "y": 1
    }
  ],
  "gs_display": {
    "ab": "-15",
    "b2": "225/4",
    "minus_a2": "-4",
    "minus_ab": "15"
  },
  "jacobian_L": {
    "dRdx": "-30",
    "dRdy": "225/2",
    "dSdx": "-8",
    "dSdy": "30",
    "det": "0",
    "trace": "0"
  },
  "miss": {
    "circle_line_a": 964,
    "circle_line_b": 3600,
    "circle_line_c": 3375,
    "circle_line_disc": -54000,
    "dist_den_sq": 241,
    "dist_num": 8,
    "miss_cleared": 15
  },
  "n2F": [
    {
      "coeff": "1",
      "y": 3
    },
    {
      "coeff": "1/4",
      "x": 1,
      "y": 2
    },
    {
      "coeff": "1",
      "x": 2,
      "y": 1
    },
    {
      "coeff": "1/4",
      "x": 3
    },
    {
      "coeff": "-1",
      "x": 1,
      "y": 4
    },
    {
      "coeff": "-2",
      "x": 3,
      "y": 2
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    {
      "coeff": "-1",
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  ],
  "n2G": [
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      "coeff": "1/4",
      "y": 3
    },
    {
      "coeff": "-1",
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      "y": 2
    },
    {
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      "y": 1
    },
    {
      "coeff": "-1",
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    },
    {
      "coeff": "-1",
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    },
    {
      "coeff": "-2",
      "x": 2,
      "y": 3
    },
    {
      "coeff": "-1",
      "x": 4,
      "y": 1
    }
  ],
  "schema": "hilbert16-kk-plus-one-identities/v1",
  "variables": [
    "x",
    "y"
  ]
}