# Stored data for newspace 177.3.b, downloaded from the LMFDB on 18 April 2024.
{"label": "177.3.b", "level": 177, "weight": 3, "char_conductor": 3, "char_degree": 1, "char_parity": -1, "sturm_bound": 60, "dim": 38, "eis_dim": 4, "eis_new_dim": 0, "cusp_dim": 38, "mf_dim": 42, "char_order": 2, "char_orbit_label": "b", "char_is_real": true, "trace_bound": 0, "num_forms": 1, "Nk2": 1593, "analytic_conductor": 4.8229006791772555, "level_radical": 177, "mf_new_dim": 38, "char_values": [177, 2, [119, 61], [1, 2]], "hecke_orbit_dims": [38], "trace_display": [0, 0, 0, -12], "traces": [38, 0, 0, -76, 0, -8, -12, 0, 20, 36, 0, 0, -4, 0, -17, 100, 0, -2, -28, 0, -11, 84, 0, -6, -166, 0, 3, 12, 0, 102, -40, 0, -46, -148, 0, -96, 112, 0, 62, -56, 0, 14, 164, 0, 55, -4, 0, -124, 242, 0, 52, 8, 0, 18, -228, 0, -147, -80, 0, 128, 12, 0, 86, 48, 0, -24, 124, 0, -240, 148, 0, 166, -192, 0, -78, -304, 0, 244, 64, 0, -156, -180, 0, 300, -52, 0, -83, -96, 0, -376, -332, 0, 454, 768, 0, -722, 416, 0, 494, 320, 0, -458, -132, 0, 479, -324, 0, -148, 96, 0, -208, -192, 0, 614, 328, 0, -54, 0, 0, -30, -474, 0, -350, 84, 0, -300, -384, 0, -442, -172, 0, 736, -238, 0, -192, 916, 0, 468, -138, 0, 364, -728, 0, 160, 182, 0, 219, -372, 0, 194, 484, 0, -920, 0, 0, -428, -304, 0, -322, -4, 0, 408, 790, 0, 206, 1248, 0, -1018, -846, 0, 135, -144, 0, -822, 998, 0, 0, -488, 0, 1324, 324, 0, 250, -404, 0, 1108, 864, 0, 604, -1160, 0, 20, 624, 0, -1388, -956, 0, -460, -1076, 0, 1244, -1272, 0, -920, -270, 0, 774, 612, 0, -872, -596, 0, -432, 2136, 0, 1180, -1108, 0, -440, 1312, 0, -1732, -1134, 0, -347, 1140, 0, 2124, 148, 0, 888, 428, 0, -2276, 208, 0, 738, -468, 0, -792, 808, 0, -600, 1132, 0, -410, 812, 0, 382, -240, 0, -108, 1172, 0, 511, -2796, 0, 2124, -1740, 0, 834, -864, 0, 976, -1070, 0, 542, -496, 0, 606, 1760, 0, -2242, 1040, 0, 1736, 928, 0, -1416, -1356, 0, -84, -348, 0, -1278, 1260, 0, -2278, -224, 0, -36, 2836, 0, 1050, 0, 0, -962, -2844, 0, -2000, -632, 0, 438, -2260, 0, -1144, -512, 0, 244, 752, 0, -652, 3172, 0, 2594, -1124, 0, 3970, -1796, 0, 941, 3036, 0, 780, -2300, 0, -102, 2028, 0, -1288, -808, 0, -1188, -2592, 0, -2536, 1428, 0, 1106, 3312, 0, 2852, 2190, 0, -1018, -1264, 0, -696, -524, 0, -992, 3388, 0, 0, -3016, 0, 1983, 588, 0, 2722, 2282, 0, 860, 708, 0, -492, -2020, 0, 1171, -180, 0, -5656, -1110, 0, -1223, -6028, 0, 1732, -600, 0, -3573, -3852, 0, 1318, -632, 0, -2524, -256, 0, 240, 3680, 0, 2462, -2380, 0, -2932, 76, 0, -1897, 272, 0, -2928, 1764, 0, 2954, 4264, 0, 2860, 1652, 0, -2003, -512, 0, 3092, 3696, 0, 200, 1276, 0, 252, 736, 0, -1404, 3104, 0, 4238, 952, 0, -408, 1012, 0, 4048, -3820, 0, 6025, -5188, 0, -40, -1910, 0, 865, -852, 0, -300, -864, 0, 1702, 2020, 0, -8192, 140, 0, 2808, 5172, 0, -4002, -4180, 0, 5, -5660, 0, -2916, 224, 0, -3218, 1280, 0, -2048, 52, 0, 508, 0, 0, -2042, -2298, 0, -2423, -4072, 0, 610, -836, 0, -1656, 904, 0, 256, -1844, 0, -1096, 7004, 0, 6056, 2344, 0, 3236, -684, 0, 1200, 5456, 0, 335, -1664, 0, 2258, 3604, 0, -2052, 308, 0, -2220, -2864, 0, -3416, 3980, 0, 4992, 2780, 0, 2020, 6224, 0, -2496, -4448, 0, -1355, -3204, 0, -1396, 1706, 0, 0, -2060, 0, 5540, -808, 0, 3776, -3540, 0, 4832, 276, 0, -1038, -8268, 0, 1368, 2688, 0, -4798, -5936, 0, -1952, -7286, 0, 1730, -3564, 0, -6772, 952, 0, 3558, -2536, 0, -3816, -2044, 0, -1477, 12900, 0, 5886, -1808, 0, -2180, 8212, 0, -3096, -888, 0, -4831, 3724, 0, 4284, 3456, 0, 4502, 5844, 0, -9564, 1024, 0, 2408, 3248, 0, -2952, 2730, 0, 218, -2056, 0, 748, 1576, 0, 3950, -4580, 0, -3796, -864, 0, 2377, -5184, 0, 9820, -4096, 0, 751, -1676, 0, 3780, 3016, 0, 52, -3168, 0, -220, 3318, 0, -8502, 4232, 0, 5852, 2852, 0, -4050, -7468, 0, 1900, -3376, 0, -712, 1304, 0, -4378, -836, 0, -3610, 1608, 0, -1046, 0, 0, -4586, -7884, 0, -3232, -4196, 0, 1346, -7340, 0, -4888, 2772, 0, 2422, -4380, 0, 1416, 6400, 0, 5596, 4268, 0, 8982, -2512, 0, 3449, 8368, 0, -2540, -3580, 0, 1238, 6644, 0, -3300, 4018, 0, -362, -1676, 0, -6772, 5112, 0, 7504, 1112, 0, 6546, 4576, 0, 310, -9184, 0, -1696, -8520, 0, -2272, 12476, 0, 0, -2720, 0, 5441, 8380, 0, 6860, -2952, 0, 3213, -1232, 0, -4956, -7152, 0, 2159, 7100, 0, -11136, -1116, 0, -1675, -8536, 0, 3732, 1642, 0, -9455, -3856, 0, 3486, 276, 0, -5788, -8, 0, -2536, 10712, 0, 1954, -7596, 0, -7320, 2024, 0, -789, -4040, 0, -14052, -260, 0, 7052, 3792, 0, 7130, -1736, 0, -6089, -428, 0, 5576, 1924, 0, -3591, 2528, 0, 5804, -84, 0, -238, 6116, 0, 9428, -1464, 0, -1076, -2936, 0, 11608, -6516, 0, 5137, -17472, 0, 2548, 540, 0, 1801, 7756, 0, 676, -2236, 0, 2762, 5716, 0, -16944, 6408, 0, 2710, 8024, 0, -9552, -4532, 0, 4515, -5920, 0, 2672, 1304, 0, -4536, 1580, 0, -7318, 5296, 0, -4636, 0, 0, -1388, -6508, 0, -1767, -5756, 0, 1666, -5198, 0, -6264, 4664, 0, 6138, -9178, 0, 2018, 14500, 0, 10032, -2624, 0, 8928, -5080, 0, 964, 8724, 0, -8265, -10152, 0, 8388, 4112, 0, -4078, 3136, 0, -10796, -4036, 0, -4508, 9956, 0, 10160, 5392, 0, 5166, 16536, 0, -584, -8560, 0, 1959, -7788, 0, 354, 7976, 0, -177, -8780, 0, 6108, 6482, 0, 3856, 2600, 0, 6144, 5192, 0, -5848, -5484, 0, 4384, -1348, 0, -9970, -14848, 0, -1140, -7800, 0, -152, -72, 0, -14008, -4876, 0, 9430, -1060, 0, -1862, -60, 0, -5029, 12624, 0, 4908, -4348, 0, -6776, 8680, 0, -8768, -3556, 0, -7115, -5680, 0, 9368, 7860, 0, 7720, 5020, 0, -19040, 6012, 0, 3291, 4828, 0, -10432, 3188, 0, 1532, -9124, 0, 838, 5692, 0, 11068, -5636, 0, -7668, 1406, 0, 4897, -16848, 0, 10092, -5444, 0, 529, 164, 0, 4812, 6164, 0, 3748, -12716, 0, -2310, 940, 0, -9566, 8372, 0, 13210, 6696, 0, -1464, -12172, 0, 7088, -10464, 0, 1974, 1812, 0, -3736, 4236, 0, -34, -6304], "hecke_cutter_primes": [], "level_primes": [3, 59], "relative_dim": 38, "hecke_orbit_code": 68769808561, "weight_parity": -1, "level_is_squarefree": true, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 2, "prim_orbit_index": 2, "conrey_index": 119, "newforms": ["177.3.b.a"], "oldspaces": []}