# Stored data for newspace 693.4.g, downloaded from the LMFDB on 15 March 2026.
{"Nk2": 11088, "analytic_conductor": 40.888323633978246, "char_conductor": 33, "char_degree": 1, "char_is_real": true, "char_orbit_index": 7, "char_orbit_label": "g", "char_order": 2, "char_parity": 1, "char_values": [693, 2, [155, 199, 442], [1, 2, 1]], "conrey_index": 197, "cusp_dim": 280, "dim": 72, "eis_dim": 16, "eis_new_dim": 0, "hecke_orbit_code": 412383969973, "hecke_orbit_dims": [72], "label": "693.4.g", "level": 693, "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": [3, 7, 11], "level_radical": 231, "mf_dim": 296, "mf_new_dim": 72, "num_forms": 1, "prim_orbit_index": 4, "relative_dim": 72, "sturm_bound": 384, "trace_bound": 0, "trace_display": [0, 0, 0, 0], "traces": [72, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1320, 0, 0, 0, 0, 0, -588, 0, 0, -2328, 0, 0, 0, 0, 0, -384, 0, 0, 576, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3528, 0, 0, 0, 0, 0, -3456, 0, 0, 4560, 0, 0, 0, 0, 0, 5016, 0, 0, 48, 0, 0, 1512, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11760, 0, 0, 0, 0, 0, -6900, 0, 0, 0, 0, 0, 0, 0, 0, -768, 0, 0, -23400, 0, 0, 18144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13728, 0, 0, 0, 0, 0, -7560, 0, 0, -2688, 0, 0, 0, 0, 0, 3912, 0, 0, -4368, 0, 0, 37296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12312, 0, 0, 0, 0, 0, -252, 0, 0, 30048, 0, 0, 0, 0, 0, 4944, 0, 0, 4272, 0, 0, -4584, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4896, 0, 0, 0, 0, 0, -17472, 0, 0, -4968, 0, 0, 0, 0, 0, -14112, 0, 0, -4560, 0, 0, 1680, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6816, 0, 0, 0, 0, 0, -69624, 0, 0, -8976, 0, 0, 0, 0, 0, -39264, 0, 0, 41592, 0, 0, -4752, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30624, 0, 0, 0, 0, 0, -13152, 0, 0, 102936, 0, 0, 0, 0, 0, 73152, 0, 0, -21888, 0, 0, 6168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20160, 0, 0, 0, 0, 0, 60312, 0, 0, -6120, 0, 0, 0, 0, 0, -26544, 0, 0, -62400, 0, 0, -22848, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7104, 0, 0, 0, 0, 0, -6648, 0, 0, 27720, 0, 0, 0, 0, 0, 12336, 0, 0, -10896, 0, 0, 63120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -43968, 0, 0, 0, 0, 0, 7884, 0, 0, -9216, 0, 0, 0, 0, 0, 13896, 0, 0, -50904, 0, 0, 20784, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 103776, 0, 0, 0, 0, 0, 15456, 0, 0, 113760, 0, 0, 0, 0, 0, -10920, 0, 0, 24384, 0, 0, -286032, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 185808, 0, 0, 0, 0, 0, 21600, 0, 0, -49776, 0, 0, 0, 0, 0, 29904, 0, 0, -47712, 0, 0, 29856, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 207360, 0, 0, 0, 0, 0, -37392, 0, 0, 69504, 0, 0, 0, 0, 0, -123504, 0, 0, 28128, 0, 0, -272280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -116688, 0, 0, 0, 0, 0, 44736, 0, 0, -100368, 0, 0, 0, 0, 0, -114720, 0, 0, -30864, 0, 0, -70656, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5040, 0, 0, 0, 0, 0, -43776, 0, 0, 279360, 0, 0, 0, 0, 0, 121200, 0, 0, 21768, 0, 0, -61320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 303840, 0, 0, 0, 0, 0, 75516, 0, 0, -5376, 0, 0, 0, 0, 0, -52464, 0, 0, -372048, 0, 0, -56256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -61344, 0, 0, 0, 0, 0, -86952, 0, 0, -114768, 0, 0, 0, 0, 0, 296904, 0, 0, 10752, 0, 0, -101376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32880, 0, 0, 0, 0, 0, 86772, 0, 0, -132576, 0, 0, 0, 0, 0, -12984, 0, 0, 64128, 0, 0, -35664, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 137568, 0, 0, 0, 0, 0, -21600, 0, 0, 288936, 0, 0, 0, 0, 0, 14616, 0, 0, -130944, 0, 0, -129936, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -265704, 0, 0, 0, 0, 0, 18864, 0, 0, -30336, 0, 0, 0, 0, 0, -119520, 0, 0, 120, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -190128, 0, 0, 0, 0, 0, -224784, 0, 0, 51336, 0, 0, 0, 0, 0, 321120, 0, 0, -165168, 0, 0, 234120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9240, 0, 0, 0, 0, 0, -277848, 0, 0, 148752, 0, 0, 0, 0, 0, -401616, 0, 0, -444288, 0, 0, -13776, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 306432, 0, 0, 0, 0, 0, 236160, 0, 0, -64680, 0, 0, 0, 0, 0, 434256, 0, 0, 246384, 0, 0, -49296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -267360, 0, 0, 0, 0, 0, 4776, 0, 0, 117168, 0, 0, 0, 0, 0, 218352, 0, 0, -93576, 0, 0, 308448, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 531672, 0, 0, 0, 0, 0, 37464, 0, 0, 504288, 0, 0, 0, 0, 0, 42648, 0, 0, -136032, 0, 0, 413568, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168048, 0, 0, 0, 0, 0, -727896, 0, 0, -219840, 0, 0, 0, 0, 0, 58464, 0, 0, -179040, 0, 0, 430752, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -305520, 0, 0, 0, 0, 0, -227088, 0, 0, -558000, 0, 0, 0, 0, 0, -530976, 0, 0, 299376, 0, 0, 429840, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -388824, 0, 0, 0, 0, 0, 44016, 0, 0, 96960, 0, 0, 0, 0, 0, 29568, 0, 0, 89904, 0, 0, -24888, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -189840, 0, 0, 0, 0, 0, -118128, 0, 0, 50400, 0, 0, 0, 0, 0, -176856, 0, 0, -164016, 0, 0, -8904, 0, 0, 0, 0, 0, 0], "weight": 4, "weight_parity": 1, "newforms": ["693.4.g.a"], "oldspaces": [[33, 4, 32, 4], [99, 4, 98, 2], [231, 7, 197, 2]]}