# Stored data for newspace 414.4.d, downloaded from the LMFDB on 23 June 2025.
{"Nk2": 6624, "analytic_conductor": 24.426790742376614, "char_conductor": 69, "char_degree": 1, "char_is_real": true, "char_orbit_index": 4, "char_orbit_label": "d", "char_order": 2, "char_parity": 1, "char_values": [414, 2, [47, 235], [1, 1]], "conrey_index": 413, "cusp_dim": 208, "dim": 24, "eis_dim": 16, "eis_new_dim": 0, "hecke_orbit_code": 206225539486, "hecke_orbit_dims": [24], "label": "414.4.d", "level": 414, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 23], "level_radical": 138, "mf_dim": 224, "mf_new_dim": 24, "num_forms": 1, "prim_orbit_index": 3, "relative_dim": 24, "sturm_bound": 288, "trace_bound": 0, "trace_display": [0, 0, 0, 0], "traces": [24, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -816, 0, 0, 216, 0, 0, 768, 0, 0, -1536, 0, 0, -1632, 0, 0, 0, 0, 0, -1536, 0, 0, 0, 0, 0, -2688, 0, 0, 3072, 0, 0, 0, 0, 0, 0, 0, 0, -2688, 0, 0, -5712, 0, 0, 0, 0, 0, 0, 0, 0, 3744, 0, 0, 0, 0, 0, -1440, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5952, 0, 0, -2880, 0, 0, -984, 0, 0, 1728, 0, 0, -336, 0, 0, 0, 0, 0, 11952, 0, 0, 0, 0, 0, -4608, 0, 0, -672, 0, 0, 0, 0, 0, 0, 0, 0, -12336, 0, 0, -4800, 0, 0, 0, 0, 0, 0, 0, 0, 23712, 0, 0, 0, 0, 0, 9384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3264, 0, 0, -1920, 0, 0, -6144, 0, 0, -912, 0, 0, -864, 0, 0, 0, 0, 0, 17760, 0, 0, 0, 0, 0, -3072, 0, 0, 27264, 0, 0, 0, 0, 0, 0, 0, 0, 6144, 0, 0, -4176, 0, 0, 0, 0, 0, 0, 0, 0, 6528, 0, 0, 0, 0, 0, -15936, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30192, 0, 0, 6144, 0, 0, 39072, 0, 0, -16512, 0, 0, -33456, 0, 0, 0, 0, 0, 21264, 0, 0, 0, 0, 0, 23088, 0, 0, 10752, 0, 0, 0, 0, 0, 0, 0, 0, -31464, 0, 0, -12288, 0, 0, 0, 0, 0, 0, 0, 0, 35664, 0, 0, 0, 0, 0, -50112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11712, 0, 0, -94368, 0, 0, 10752, 0, 0, -70080, 0, 0, 12960, 0, 0, 0, 0, 0, 22848, 0, 0, 0, 0, 0, 12000, 0, 0, 17184, 0, 0, 0, 0, 0, 0, 0, 0, 7488, 0, 0, -9720, 0, 0, 0, 0, 0, 0, 0, 0, 43776, 0, 0, 0, 0, 0, -14976, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -33744, 0, 0, -62880, 0, 0, 8880, 0, 0, 5760, 0, 0, 38112, 0, 0, 0, 0, 0, 104400, 0, 0, 0, 0, 0, 43632, 0, 0, 29088, 0, 0, 0, 0, 0, 0, 0, 0, -46656, 0, 0, 2592, 0, 0, 0, 0, 0, 0, 0, 0, 73824, 0, 0, 0, 0, 0, -137040, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -23808, 0, 0, 39936, 0, 0, 77568, 0, 0, -151056, 0, 0, 11520, 0, 0, 0, 0, 0, 10752, 0, 0, 0, 0, 0, 3936, 0, 0, 103536, 0, 0, 0, 0, 0, 0, 0, 0, -6912, 0, 0, -2304, 0, 0, 0, 0, 0, 0, 0, 0, 1344, 0, 0, 0, 0, 0, -108192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -119496, 0, 0, -47808, 0, 0, 51216, 0, 0, 10656, 0, 0, 21408, 0, 0, 0, 0, 0, 125664, 0, 0, 0, 0, 0, 125712, 0, 0, 18432, 0, 0, 0, 0, 0, 0, 0, 0, -50064, 0, 0, 2688, 0, 0, 0, 0, 0, 0, 0, 0, 116016, 0, 0, 0, 0, 0, -89232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23328, 0, 0, -56304, 0, 0, 49344, 0, 0, -240240, 0, 0, 93600, 0, 0, 0, 0, 0, 19200, 0, 0, 0, 0, 0, -15072, 0, 0, 242664, 0, 0, 0, 0, 0, 0, 0, 0, 2592, 0, 0, 127872, 0, 0, 0, 0, 0, 0, 0, 0, 62976, 0, 0, 0, 0, 0, -94848, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -169536, 0, 0, -121440, 0, 0, 157296, 0, 0, -37536, 0, 0, 75552, 0, 0, 0, 0, 0, -26064, 0, 0, 0, 0, 0, 102528, 0, 0, 9216, 0, 0, 0, 0, 0, 0, 0, 0, -143376, 0, 0, -174720, 0, 0, 0, 0, 0, 0, 0, 0, 267264, 0, 0, 0, 0, 0, -198192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13056, 0, 0, -152736, 0, 0, 75648, 0, 0, -147024, 0, 0, 7680, 0, 0, 0, 0, 0, 196800, 0, 0, 0, 0, 0, 24576, 0, 0, 123072, 0, 0, 0, 0, 0, 0, 0, 0, 3648, 0, 0, 53472, 0, 0, 0, 0, 0, 0, 0, 0, 3456, 0, 0, 0, 0, 0, -256320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52848, 0, 0, -71040, 0, 0, 197376, 0, 0, -43488, 0, 0, -188208, 0, 0, 0, 0, 0, 360240, 0, 0, 0, 0, 0, -58176, 0, 0, 12288, 0, 0, 0, 0, 0, 0, 0, 0, -272904, 0, 0, -109056, 0, 0, 0, 0, 0, 0, 0, 0, 361776, 0, 0, 0, 0, 0, -45792, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54816, 0, 0, 53616, 0, 0, -24576, 0, 0, -189408, 0, 0, 123456, 0, 0, 0, 0, 0, 16704, 0, 0, 0, 0, 0, -74016, 0, 0, 204048, 0, 0, 0, 0, 0, 0, 0, 0, 114240, 0, 0, -193152, 0, 0, 0, 0, 0, 0, 0, 0, 52128, 0, 0, 0, 0, 0, -26112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240816, 0, 0, -281664, 0, 0, -301056, 0, 0, 63744, 0, 0, -340320, 0, 0, 0, 0, 0, 225672, 0, 0, 0, 0, 0, 206640, 0, 0, 85632, 0, 0, 0, 0, 0, 0, 0, 0, -90240, 0, 0, -142080, 0, 0, 0, 0, 0, 0, 0, 0, 184944, 0, 0, 0, 0, 0, 169824, 0, 0, 0], "weight": 4, "weight_parity": 1, "newforms": ["414.4.d.a"], "oldspaces": [[69, 3, 68, 4], [138, 4, 137, 2], [207, 3, 206, 2]]}