{
  "levels": [
    {
      "level": 163,
      "dim_S": 13,
      "dim_Q": 3,
      "status": "canonical",
      "E_minpoly": "x^2 + 2*x",
      "N_minpoly": "x^2",
      "coordinate_laws": {
        "3": [
          0,
          1,
          0
        ],
        "7": [
          2,
          0,
          1
        ],
        "11": [
          0,
          0,
          1
        ],
        "19": [
          0,
          2,
          0
        ],
        "43": [
          1,
          1,
          2
        ],
        "67": [
          1,
          1,
          2
        ],
        "163": [
          2,
          2,
          0
        ]
      },
      "matches_163_coordinate_laws": {
        "3": true,
        "7": true,
        "11": true,
        "19": true,
        "43": true,
        "67": true,
        "163": true
      }
    },
    {
      "level": 829,
      "dim_S": 68,
      "dim_Q": 3,
      "status": "canonical",
      "E_minpoly": "x^2 + 2*x",
      "N_minpoly": "x^2",
      "coordinate_laws": {
        "3": [
          0,
          1,
          0
        ],
        "7": [
          1,
          1,
          1
        ],
        "11": [
          0,
          0,
          1
        ],
        "19": [
          0,
          2,
          2
        ],
        "43": [
          2,
          0,
          0
        ],
        "67": [
          0,
          2,
          0
        ],
        "163": [
          1,
          1,
          0
        ]
      },
      "matches_163_coordinate_laws": {
        "3": true,
        "7": false,
        "11": true,
        "19": false,
        "43": false,
        "67": false,
        "163": false
      }
    },
    {
      "level": 2053,
      "dim_S": 170,
      "dim_Q": 3,
      "status": "canonical",
      "E_minpoly": "x^2 + 2*x",
      "N_minpoly": "x^2",
      "coordinate_laws": {
        "3": [
          0,
          1,
          0
        ],
        "7": [
          1,
          1,
          2
        ],
        "11": [
          0,
          0,
          1
        ],
        "19": [
          2,
          0,
          0
        ],
        "43": [
          0,
          2,
          0
        ],
        "67": [
          0,
          2,
          1
        ],
        "163": [
          1,
          1,
          1
        ]
      },
      "matches_163_coordinate_laws": {
        "3": true,
        "7": false,
        "11": true,
        "19": false,
        "43": false,
        "67": false,
        "163": false
      }
    },
    {
      "level": 3853,
      "dim_S": 320,
      "dim_Q": 3,
      "status": "T3_partial",
      "E_minpoly": "x^2 + 2*x",
      "N_minpoly": "x^3 + 2*x^2 + x",
      "coordinate_laws": {
        "3": [
          0,
          1,
          0
        ],
        "7": [
          2,
          0,
          0
        ],
        "11": [
          0,
          0,
          1
        ],
        "19": [
          0,
          2,
          2
        ],
        "43": [
          0,
          2,
          1
        ],
        "67": [
          0,
          2,
          1
        ],
        "163": [
          1,
          1,
          0
        ]
      },
      "matches_163_coordinate_laws": {
        "3": true,
        "7": false,
        "11": true,
        "19": false,
        "43": false,
        "67": false,
        "163": false
      }
    },
    {
      "level": 4933,
      "dim_S": 410,
      "dim_Q": 3,
      "status": "misaligned",
      "E_minpoly": "x^2 + 2*x",
      "N_minpoly": "x^2",
      "coordinate_laws": {
        "3": [
          0,
          1,
          0
        ],
        "7": [
          2,
          0,
          0
        ],
        "11": [
          0,
          0,
          1
        ],
        "19": [
          0,
          2,
          0
        ],
        "43": [
          2,
          0,
          0
        ],
        "67": [
          1,
          1,
          0
        ],
        "163": [
          1,
          1,
          0
        ]
      },
      "matches_163_coordinate_laws": {
        "3": true,
        "7": false,
        "11": true,
        "19": true,
        "43": false,
        "67": false,
        "163": false
      }
    }
  ],
  "heegner_primes": [
    3,
    7,
    11,
    19,
    43,
    67,
    163
  ]
}