{
 "schema_version": "0.3",
 "name": "[[216,24,7]]",
 "code_type": "CSS",
 "n": 216,
 "k": 24,
 "checks": {
  "X": [
   [
    0,
    40,
    108,
    133,
    200,
    213
   ],
   [
    1,
    41,
    109,
    134,
    201,
    214
   ],
   [
    2,
    42,
    110,
    135,
    202,
    215
   ],
   [
    3,
    43,
    111,
    136,
    180,
    203
   ],
   [
    4,
    44,
    112,
    137,
    181,
    204
   ],
   [
    5,
    45,
    113,
    138,
    182,
    205
   ],
   [
    6,
    46,
    114,
    139,
    183,
    206
   ],
   [
    7,
    47,
    115,
    140,
    184,
    207
   ],
   [
    8,
    48,
    116,
    141,
    185,
    208
   ],
   [
    9,
    49,
    117,
    142,
    186,
    209
   ],
   [
    10,
    50,
    118,
    143,
    187,
    210
   ],
   [
    11,
    51,
    108,
    119,
    188,
    211
   ],
   [
    12,
    52,
    109,
    120,
    189,
    212
   ],
   [
    13,
    53,
    110,
    121,
    190,
    213
   ],
   [
    14,
    54,
    111,
    122,
    191,
    214
   ],
   [
    15,
    55,
    112,
    123,
    192,
    215
   ],
   [
    16,
    56,
    113,
    124,
    180,
    193
   ],
   [
    17,
    57,
    114,
    125,
    181,
    194
   ],
   [
    18,
    58,
    115,
    126,
    182,
    195
   ],
   [
    19,
    59,
    116,
    127,
    183,
    196
   ],
   [
    20,
    60,
    117,
    128,
    184,
    197
   ],
   [
    21,
    61,
    118,
    129,
    185,
    198
   ],
   [
    22,
    62,
    119,
    130,
    186,
    199
   ],
   [
    23,
    63,
    120,
    131,
    187,
    200
   ],
   [
    24,
    64,
    121,
    132,
    188,
    201
   ],
   [
    25,
    65,
    122,
    133,
    189,
    202
   ],
   [
    26,
    66,
    123,
    134,
    190,
    203
   ],
   [
    27,
    67,
    124,
    135,
    191,
    204
   ],
   [
    28,
    68,
    125,
    136,
    192,
    205
   ],
   [
    29,
    69,
    126,
    137,
    193,
    206
   ],
   [
    30,
    70,
    127,
    138,
    194,
    207
   ],
   [
    31,
    71,
    128,
    139,
    195,
    208
   ],
   [
    32,
    36,
    129,
    140,
    196,
    209
   ],
   [
    33,
    37,
    130,
    141,
    197,
    210
   ],
   [
    34,
    38,
    131,
    142,
    198,
    211
   ],
   [
    35,
    39,
    132,
    143,
    199,
    212
   ],
   [
    36,
    76,
    128,
    141,
    144,
    169
   ],
   [
    37,
    77,
    129,
    142,
    145,
    170
   ],
   [
    38,
    78,
    130,
    143,
    146,
    171
   ],
   [
    39,
    79,
    108,
    131,
    147,
    172
   ],
   [
    40,
    80,
    109,
    132,
    148,
    173
   ],
   [
    41,
    81,
    110,
    133,
    149,
    174
   ],
   [
    42,
    82,
    111,
    134,
    150,
    175
   ],
   [
    43,
    83,
    112,
    135,
    151,
    176
   ],
   [
    44,
    84,
    113,
    136,
    152,
    177
   ],
   [
    45,
    85,
    114,
    137,
    153,
    178
   ],
   [
    46,
    86,
    115,
    138,
    154,
    179
   ],
   [
    47,
    87,
    116,
    139,
    144,
    155
   ],
   [
    48,
    88,
    117,
    140,
    145,
    156
   ],
   [
    49,
    89,
    118,
    141,
    146,
    157
   ],
   [
    50,
    90,
    119,
    142,
    147,
    158
   ],
   [
    51,
    91,
    120,
    143,
    148,
    159
   ],
   [
    52,
    92,
    108,
    121,
    149,
    160
   ],
   [
    53,
    93,
    109,
    122,
    150,
    161
   ],
   [
    54,
    94,
    110,
    123,
    151,
    162
   ],
   [
    55,
    95,
    111,
    124,
    152,
    163
   ],
   [
    56,
    96,
    112,
    125,
    153,
    164
   ],
   [
    57,
    97,
    113,
    126,
    154,
    165
   ],
   [
    58,
    98,
    114,
    127,
    155,
    166
   ],
   [
    59,
    99,
    115,
    128,
    156,
    167
   ],
   [
    60,
    100,
    116,
    129,
    157,
    168
   ],
   [
    61,
    101,
    117,
    130,
    158,
    169
   ],
   [
    62,
    102,
    118,
    131,
    159,
    170
   ],
   [
    63,
    103,
    119,
    132,
    160,
    171
   ],
   [
    64,
    104,
    120,
    133,
    161,
    172
   ],
   [
    65,
    105,
    121,
    134,
    162,
    173
   ],
   [
    66,
    106,
    122,
    135,
    163,
    174
   ],
   [
    67,
    107,
    123,
    136,
    164,
    175
   ],
   [
    68,
    72,
    124,
    137,
    165,
    176
   ],
   [
    69,
    73,
    125,
    138,
    166,
    177
   ],
   [
    70,
    74,
    126,
    139,
    167,
    178
   ],
   [
    71,
    75,
    127,
    140,
    168,
    179
   ],
   [
    4,
    72,
    164,
    177,
    180,
    205
   ],
   [
    5,
    73,
    165,
    178,
    181,
    206
   ],
   [
    6,
    74,
    166,
    179,
    182,
    207
   ],
   [
    7,
    75,
    144,
    167,
    183,
    208
   ],
   [
    8,
    76,
    145,
    168,
    184,
    209
   ],
   [
    9,
    77,
    146,
    169,
    185,
    210
   ],
   [
    10,
    78,
    147,
    170,
    186,
    211
   ],
   [
    11,
    79,
    148,
    171,
    187,
    212
   ],
   [
    12,
    80,
    149,
    172,
    188,
    213
   ],
   [
    13,
    81,
    150,
    173,
    189,
    214
   ],
   [
    14,
    82,
    151,
    174,
    190,
    215
   ],
   [
    15,
    83,
    152,
    175,
    180,
    191
   ],
   [
    16,
    84,
    153,
    176,
    181,
    192
   ],
   [
    17,
    85,
    154,
    177,
    182,
    193
   ],
   [
    18,
    86,
    155,
    178,
    183,
    194
   ],
   [
    19,
    87,
    156,
    179,
    184,
    195
   ],
   [
    20,
    88,
    144,
    157,
    185,
    196
   ],
   [
    21,
    89,
    145,
    158,
    186,
    197
   ],
   [
    22,
    90,
    146,
    159,
    187,
    198
   ],
   [
    23,
    91,
    147,
    160,
    188,
    199
   ],
   [
    24,
    92,
    148,
    161,
    189,
    200
   ],
   [
    25,
    93,
    149,
    162,
    190,
    201
   ],
   [
    26,
    94,
    150,
    163,
    191,
    202
   ],
   [
    27,
    95,
    151,
    164,
    192,
    203
   ],
   [
    28,
    96,
    152,
    165,
    193,
    204
   ],
   [
    29,
    97,
    153,
    166,
    194,
    205
   ],
   [
    30,
    98,
    154,
    167,
    195,
    206
   ],
   [
    31,
    99,
    155,
    168,
    196,
    207
   ],
   [
    32,
    100,
    156,
    169,
    197,
    208
   ],
   [
    33,
    101,
    157,
    170,
    198,
    209
   ],
   [
    34,
    102,
    158,
    171,
    199,
    210
   ],
   [
    35,
    103,
    159,
    172,
    200,
    211
   ],
   [
    0,
    104,
    160,
    173,
    201,
    212
   ],
   [
    1,
    105,
    161,
    174,
    202,
    213
   ],
   [
    2,
    106,
    162,
    175,
    203,
    214
   ],
   [
    3,
    107,
    163,
    176,
    204,
    215
   ]
  ],
  "Z": [
   [
    0,
    11,
    39,
    52,
    108,
    212
   ],
   [
    1,
    12,
    40,
    53,
    109,
    213
   ],
   [
    2,
    13,
    41,
    54,
    110,
    214
   ],
   [
    3,
    14,
    42,
    55,
    111,
    215
   ],
   [
    4,
    15,
    43,
    56,
    112,
    180
   ],
   [
    5,
    16,
    44,
    57,
    113,
    181
   ],
   [
    6,
    17,
    45,
    58,
    114,
    182
   ],
   [
    7,
    18,
    46,
    59,
    115,
    183
   ],
   [
    8,
    19,
    47,
    60,
    116,
    184
   ],
   [
    9,
    20,
    48,
    61,
    117,
    185
   ],
   [
    10,
    21,
    49,
    62,
    118,
    186
   ],
   [
    11,
    22,
    50,
    63,
    119,
    187
   ],
   [
    12,
    23,
    51,
    64,
    120,
    188
   ],
   [
    13,
    24,
    52,
    65,
    121,
    189
   ],
   [
    14,
    25,
    53,
    66,
    122,
    190
   ],
   [
    15,
    26,
    54,
    67,
    123,
    191
   ],
   [
    16,
    27,
    55,
    68,
    124,
    192
   ],
   [
    17,
    28,
    56,
    69,
    125,
    193
   ],
   [
    18,
    29,
    57,
    70,
    126,
    194
   ],
   [
    19,
    30,
    58,
    71,
    127,
    195
   ],
   [
    20,
    31,
    36,
    59,
    128,
    196
   ],
   [
    21,
    32,
    37,
    60,
    129,
    197
   ],
   [
    22,
    33,
    38,
    61,
    130,
    198
   ],
   [
    23,
    34,
    39,
    62,
    131,
    199
   ],
   [
    24,
    35,
    40,
    63,
    132,
    200
   ],
   [
    0,
    25,
    41,
    64,
    133,
    201
   ],
   [
    1,
    26,
    42,
    65,
    134,
    202
   ],
   [
    2,
    27,
    43,
    66,
    135,
    203
   ],
   [
    3,
    28,
    44,
    67,
    136,
    204
   ],
   [
    4,
    29,
    45,
    68,
    137,
    205
   ],
   [
    5,
    30,
    46,
    69,
    138,
    206
   ],
   [
    6,
    31,
    47,
    70,
    139,
    207
   ],
   [
    7,
    32,
    48,
    71,
    140,
    208
   ],
   [
    8,
    33,
    36,
    49,
    141,
    209
   ],
   [
    9,
    34,
    37,
    50,
    142,
    210
   ],
   [
    10,
    35,
    38,
    51,
    143,
    211
   ],
   [
    36,
    47,
    75,
    88,
    140,
    144
   ],
   [
    37,
    48,
    76,
    89,
    141,
    145
   ],
   [
    38,
    49,
    77,
    90,
    142,
    146
   ],
   [
    39,
    50,
    78,
    91,
    143,
    147
   ],
   [
    40,
    51,
    79,
    92,
    108,
    148
   ],
   [
    41,
    52,
    80,
    93,
    109,
    149
   ],
   [
    42,
    53,
    81,
    94,
    110,
    150
   ],
   [
    43,
    54,
    82,
    95,
    111,
    151
   ],
   [
    44,
    55,
    83,
    96,
    112,
    152
   ],
   [
    45,
    56,
    84,
    97,
    113,
    153
   ],
   [
    46,
    57,
    85,
    98,
    114,
    154
   ],
   [
    47,
    58,
    86,
    99,
    115,
    155
   ],
   [
    48,
    59,
    87,
    100,
    116,
    156
   ],
   [
    49,
    60,
    88,
    101,
    117,
    157
   ],
   [
    50,
    61,
    89,
    102,
    118,
    158
   ],
   [
    51,
    62,
    90,
    103,
    119,
    159
   ],
   [
    52,
    63,
    91,
    104,
    120,
    160
   ],
   [
    53,
    64,
    92,
    105,
    121,
    161
   ],
   [
    54,
    65,
    93,
    106,
    122,
    162
   ],
   [
    55,
    66,
    94,
    107,
    123,
    163
   ],
   [
    56,
    67,
    72,
    95,
    124,
    164
   ],
   [
    57,
    68,
    73,
    96,
    125,
    165
   ],
   [
    58,
    69,
    74,
    97,
    126,
    166
   ],
   [
    59,
    70,
    75,
    98,
    127,
    167
   ],
   [
    60,
    71,
    76,
    99,
    128,
    168
   ],
   [
    36,
    61,
    77,
    100,
    129,
    169
   ],
   [
    37,
    62,
    78,
    101,
    130,
    170
   ],
   [
    38,
    63,
    79,
    102,
    131,
    171
   ],
   [
    39,
    64,
    80,
    103,
    132,
    172
   ],
   [
    40,
    65,
    81,
    104,
    133,
    173
   ],
   [
    41,
    66,
    82,
    105,
    134,
    174
   ],
   [
    42,
    67,
    83,
    106,
    135,
    175
   ],
   [
    43,
    68,
    84,
    107,
    136,
    176
   ],
   [
    44,
    69,
    72,
    85,
    137,
    177
   ],
   [
    45,
    70,
    73,
    86,
    138,
    178
   ],
   [
    46,
    71,
    74,
    87,
    139,
    179
   ],
   [
    3,
    16,
    72,
    83,
    176,
    180
   ],
   [
    4,
    17,
    73,
    84,
    177,
    181
   ],
   [
    5,
    18,
    74,
    85,
    178,
    182
   ],
   [
    6,
    19,
    75,
    86,
    179,
    183
   ],
   [
    7,
    20,
    76,
    87,
    144,
    184
   ],
   [
    8,
    21,
    77,
    88,
    145,
    185
   ],
   [
    9,
    22,
    78,
    89,
    146,
    186
   ],
   [
    10,
    23,
    79,
    90,
    147,
    187
   ],
   [
    11,
    24,
    80,
    91,
    148,
    188
   ],
   [
    12,
    25,
    81,
    92,
    149,
    189
   ],
   [
    13,
    26,
    82,
    93,
    150,
    190
   ],
   [
    14,
    27,
    83,
    94,
    151,
    191
   ],
   [
    15,
    28,
    84,
    95,
    152,
    192
   ],
   [
    16,
    29,
    85,
    96,
    153,
    193
   ],
   [
    17,
    30,
    86,
    97,
    154,
    194
   ],
   [
    18,
    31,
    87,
    98,
    155,
    195
   ],
   [
    19,
    32,
    88,
    99,
    156,
    196
   ],
   [
    20,
    33,
    89,
    100,
    157,
    197
   ],
   [
    21,
    34,
    90,
    101,
    158,
    198
   ],
   [
    22,
    35,
    91,
    102,
    159,
    199
   ],
   [
    0,
    23,
    92,
    103,
    160,
    200
   ],
   [
    1,
    24,
    93,
    104,
    161,
    201
   ],
   [
    2,
    25,
    94,
    105,
    162,
    202
   ],
   [
    3,
    26,
    95,
    106,
    163,
    203
   ],
   [
    4,
    27,
    96,
    107,
    164,
    204
   ],
   [
    5,
    28,
    72,
    97,
    165,
    205
   ],
   [
    6,
    29,
    73,
    98,
    166,
    206
   ],
   [
    7,
    30,
    74,
    99,
    167,
    207
   ],
   [
    8,
    31,
    75,
    100,
    168,
    208
   ],
   [
    9,
    32,
    76,
    101,
    169,
    209
   ],
   [
    10,
    33,
    77,
    102,
    170,
    210
   ],
   [
    11,
    34,
    78,
    103,
    171,
    211
   ],
   [
    12,
    35,
    79,
    104,
    172,
    212
   ],
   [
    0,
    13,
    80,
    105,
    173,
    213
   ],
   [
    1,
    14,
    81,
    106,
    174,
    214
   ],
   [
    2,
    15,
    82,
    107,
    175,
    215
   ]
  ]
 },
 "distance": {
  "d": 7,
  "X": {
   "value": 7,
   "confidence": "upper_bound",
   "witness": [
    31,
    127,
    128,
    167,
    168,
    195,
    207
   ]
  },
  "Z": {
   "value": 7,
   "confidence": "upper_bound",
   "witness": [
    29,
    45,
    58,
    69,
    85,
    166,
    182
   ]
  }
 },
 "provenance": {
  "authors": [
   "@FarLab"
  ],
  "construction": "bivariate bicycle on Z_3 x Z_36: A = x^0y^0 + x^1y^4, B = x^0y^0 + x^0y^25 + x^2y^20 + x^2y^33",
  "origin": "submission",
  "date": "2026-10-17",
  "model": "Claude Fable 5.1",
  "search_budget": {
   "candidates_screened": 174366,
   "ris_trials_per_side": 10000000,
   "cpu_hours": 18.4,
   "tool": "research/kit/search.py + gf2_fast on Brev n2d-highcpu-64"
  }
 },
 "family": "bivariate-bicycle"
}