# Stored data for newspace 507.4.b, downloaded from the LMFDB on 16 April 2024.
{"label": "507.4.b", "level": 507, "weight": 4, "char_conductor": 13, "char_degree": 1, "char_parity": 1, "sturm_bound": 242, "dim": 76, "eis_dim": 28, "eis_new_dim": 0, "cusp_dim": 168, "mf_dim": 196, "char_order": 2, "char_orbit_label": "b", "char_is_real": true, "trace_bound": 17, "num_forms": 11, "Nk2": 8112, "analytic_conductor": 29.913968372910492, "level_radical": 39, "mf_new_dim": 76, "char_values": [507, 2, [170, 340], [2, 1]], "hecke_orbit_dims": [2, 2, 2, 2, 4, 4, 6, 8, 10, 18, 18], "trace_display": [0, 0, 0, 0], "traces": [76, 0, 0, -296, 0, 0, 0, 0, 684, 32, 0, -48, 0, 304, 0, 936, -316, 0, 0, 0, 0, -408, 80, 0, -2100, 0, 0, 0, 308, 528, 0, 0, 0, 0, -1040, -2664, 0, 224, 0, 280, 0, -1296, 160, 0, 0, 0, 0, 1104, -3024, 0, 192, 0, 196, 0, -208, -2208, 0, 0, 0, 0, 2340, -2788, 0, -6012, 0, -2184, 0, 6348, 1272, 0, 0, 0, 0, -540, 480, 0, 392, 0, -5060, 0, 6156, 3668, 0, 0, 0, 0, 1212, -2240, 0, 288, 0, 8620, 0, -5520, -2000, 0, 0, 0, 0, 12072, 4412, 0, 4996, 0, -2712, 0, 6752, -432, 0, 0, 0, 0, -5556, -2760, 0, -12064, 0, -964, 0, -9576, -13560, 0, 0, 0, 0, 2736, 6764, 0, 13296, 0, 3768, 0, -10784, 8556, 0, 0, 0, 0, -12128, 8040, 0, 5952, 0, 8424, 0, 10792, 1848, 0, 0, 0, 0, -17404, -2844, 0, -10456, 0, 1252, 0, -7332, -8408, 0, 0, 0, 0, 4800, -1752, 0, 12504, 0, -7120, 0, -11004, 23048, 0, 0, 0, 0, -15328, 13336, 0, 5292, 0, -8664, 0, -10108, -3912, 0, 0, 0, 0, -1664, -5712, 0, -2300, 0, -9384, 0, -3672, 5980, 0, 0, 0, 0, 11616, 6676, 0, 720, 0, 20968, 0, -5976, 6344, 0, 0, 0, 0, 24064, 2464, 0, 7972, 0, -17808, 0, 51324, -18900, 0, 0, 0, 0, -20100, -6096, 0, -26400, 0, -15472, 0, -2880, -9948, 0, 0, 0, 0, 0, -19140, 0, 4440, 0, 26300, 0, -408, 2240, 0, 0, 0, 0, 53912, -7516, 0, 2992, 0, 2772, 0, 38256, 5496, 0, 0, 0, 0, 25304, 4752, 0, -5028, 0, -6516, 0, -32136, 1164, 0, 0, 0, 0, 23688, -43912, 0, 13560, 0, 3840, 0, 112, -45692, 0, 0, 0, 0, -15840, 108516, 0, 79228, 0, -21888, 0, -57280, 14796, 0, 0, 0, 0, -137504, -28488, 0, -34320, 0, 49484, 0, -9360, 116276, 0, 0, 0, 0, -1884, 75808, 0, -23976, 0, -37220, 0, -24684, -43424, 0, 0, 0, 0, -14628, -2064, 0, -26528, 0, -5400, 0, -5712, 2016, 0, 0, 0, 0, -12104, 11784, 0, 50164, 0, -57028, 0, -15504, 16472, 0, 0, 0, 0, 2520, -41252, 0, 20976, 0, 108348, 0, 22612, -24944, 0, 0, 0, 0, 25388, -14444, 0, 41160, 0, -11664, 0, 12176, 22752, 0, 0, 0, 0, -26828, 1440, 0, -36996, 0, -3200, 0, 5844, -135776, 0, 0, 0, 0, 19080, -55832, 0, -45492, 0, 6996, 0, 1808, 19680, 0, 0, 0, 0, -8884, 20848, 0, -23472, 0, 15816, 0, 14832, -21156, 0, 0, 0, 0, 120216, 21816, 0, 8944, 0, -20380, 0, 9936, -21872, 0, 0, 0, 0, 21288, 36164, 0, -27216, 0, -64448, 0, 10864, 116560, 0, 0, 0, 0, -37072, -57252, 0, -31816, 0, 27108, 0, 68412, 1728, 0, 0, 0, 0, 41832, -24984, 0, -27248, 0, 67904, 0, 9504, -25580, 0, 0, 0, 0, 1764, -171372, 0, -24984, 0, -43412, 0, 104272, -40264, 0, 0, 0, 0, 72480, 20416, 0, -60924, 0, -1872, 0, -46200, -59496, 0, 0, 0, 0, 56000, -19872, 0, -56660, 0, -27712, 0, 63564, 123672, 0, 0, 0, 0, -140376, -15592, 0, 33276, 0, -53204, 0, -6344, 104280, 0, 0, 0, 0, 27964, -262348, 0, -32392, 0, 30000, 0, 15432, 6828, 0, 0, 0, 0, 26956, 66048, 0, -1192, 0, 49368, 0, 21060, -2796, 0, 0, 0, 0, -47808, 200152, 0, -25092, 0, -68440, 0, 18820, -112088, 0, 0, 0, 0, 92124, -80920, 0, 85880, 0, 16056, 0, -67152, -54108, 0, 0, 0, 0, 92912, 40788, 0, 47368, 0, -2056, 0, 44592, -81496, 0, 0, 0, 0, -19656, -56816, 0, 8952, 0, -81880, 0, -3456, -89264, 0, 0, 0, 0, -120388, -38248, 0, -223540, 0, 57132, 0, -164156, 34512, 0, 0, 0, 0, 39180, 11448, 0, -16984, 0, 162772, 0, 33312, -64732, 0, 0, 0, 0, 51984, 259804, 0, 127644, 0, 227960, 0, -103036, -65292, 0, 0, 0, 0, -193520, 93352, 0, 62576, 0, 59184, 0, 148232, 132012, 0, 0, 0, 0, 83152, 31176, 0, 185408, 0, -133716, 0, -4860, 65712, 0, 0, 0, 0, -41796, -34320, 0, 4320, 0, -399504, 0, -14184, 378996, 0, 0, 0, 0, -444028, -134348, 0, -52676, 0, -110964, 0, -455416, 3528, 0, 0, 0, 0, 86960, 11400, 0, 250280, 0, 1208, 0, 51840, 74904, 0, 0, 0, 0, -45540, 290372, 0, -140064, 0, 141900, 0, 138776, 18296, 0, 0, 0, 0, -103248, 336368, 0, -80724, 0, 55404, 0, 7144, -27024, 0, 0, 0, 0, 88096, 33012, 0, 475708, 0, 163020, 0, -31068, -252348, 0, 0, 0, 0, 32928, 80580, 0, 12132, 0, -55024, 0, -131120, -394876, 0, 0, 0, 0, 108480, -198108, 0, -181944, 0, 8064, 0, -81608, 65880, 0, 0, 0, 0, -6248, -143496, 0, -52176, 0, -14440, 0, 10908, 78304, 0, 0, 0, 0, -27960, 124100, 0, -20160, 0, 300456, 0, 12628, 59248, 0, 0, 0, 0, 357192, 114408, 0, 238856, 0, 79500, 0, -307844, 2592, 0, 0, 0, 0, -71040, 96660, 0, 330464, 0, -303932, 0, 27864, 232236, 0, 0, 0, 0, 77580, -153820, 0, -43008, 0, -240212, 0, 58632, 23980, 0, 0, 0, 0, 116188, -46544, 0, -69028, 0, -49680, 0, 368628, 69480, 0, 0, 0, 0, -78880, -18000, 0, -119596, 0, -13528, 0, 25296, -6768, 0, 0, 0, 0, -117024, -119712, 0, -148452, 0, -164324, 0, 274828, -31648, 0, 0, 0, 0, 20732, 11868, 0, -12368, 0, -5976, 0, 65912, -23196, 0, 0, 0, 0, -245032, 125832, 0, -524132, 0, 285136, 0, 108648, 229244, 0, 0, 0, 0, 73128, -279848, 0, 39708, 0, -72648, 0, -140440, 88240, 0, 0, 0, 0, -101060, 111364, 0, 139648, 0, 16572, 0, 85840, 44964, 0, 0, 0, 0, 38188, -112008, 0, -124728, 0, -182632, 0, 71112, -325600, 0, 0, 0, 0, -24408, -421244, 0, -242400, 0, 48508, 0, -215852, -363512, 0, 0, 0, 0, 255732, 114896, 0, -73968, 0, 60768, 0, 3956, -176016, 0, 0, 0, 0, 127936, -3888, 0, 195860, 0, 378584, 0, 26244, -88128, 0, 0, 0, 0, 41040, 1104, 0, 125712, 0, -40168, 0, 120196, 111672, 0, 0, 0, 0, 67300, -450904, 0, -54212], "hecke_cutter_primes": [2, 5], "level_primes": [3, 13], "relative_dim": 76, "hecke_orbit_code": 68786586107, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 2, "prim_orbit_index": 2, "conrey_index": 337, "newforms": ["507.4.b.a", "507.4.b.b", "507.4.b.c", "507.4.b.d", "507.4.b.e", "507.4.b.f", "507.4.b.g", "507.4.b.h", "507.4.b.i", "507.4.b.j", "507.4.b.k"], "oldspaces": [[13, 2, 12, 4], [169, 2, 168, 2]]}