# Stored data for newform 128.3.l.a, downloaded from the LMFDB on 24 April 2024. {"label": "128.3.l.a", "space_label": "128.3.l", "level": 128, "weight": 3, "hecke_orbit": 1, "hecke_orbit_code": 755964575872, "dim": 496, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 32, "char_parity": -1, "char_degree": 16, "char_conductor": 128, "char_orbit_label": "l", "char_is_real": false, "Nk2": 1152, "analytic_conductor": 3.4877473838118003, "level_radical": 2, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [128, 32, [127, 5], [16, 3]], "inner_twist_count": 2, "level_primes": [2], "conrey_indexes": [3, 11, 19, 27, 35, 43, 51, 59, 67, 75, 83, 91, 99, 107, 115, 123], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 31, "sato_tate_group": "2.2.3.c32", "trace_display": [-16, -16, -16, -16], "traces": [496, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -640, -16, -1072, -16, -1168, -16, -800, -16, -736, -16, -592, -16, -112, -32, 176, 0, 560, -16, 464, -16, 1328, -16, 1280, -16, 1216, -16, 1648, -16, 1424, -16, 800, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -656, 2112, -16, 1888, -2576, 1664, -16, 2896, -1936, 1392, -16, 2000, -1296, 2336, -16, 544, -1296, 320, -16, 256, 0, -240, -32, -624, 624, -1696, -16, -800, 2544, -1024, -16, -3712, 1904, -2928, -16, -1936, 2544, -3824, -16, -2144, 3184, -2368, -16, -2592, 752, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -16, -1616, -16, -3696, -16, -5056, -16, -3664, -16, -4368, -16, -6016, -16, -2512, -16, -4416, -16, -3328, -16, -1360, -16, -2496, -16, -1024, -160, -400, -32, 336, 0, 1040, 128, 1904, -16, 2336, -16, 4448, -16, 2096, -16, 4768, -16, 5984, -16, 3248, -16, 7584, -16, 5360, -16, 4400, -16, 5984, -16, 4304, -16, 1840, -16, -16, -16, -16, -16, 2304, 2672, 3440, -3344, 3184, 4592, 5872, -16, 6704, 5104, 2416, -4624, 4336, 3568, 4304, -16, 3312, 3440, 4208, -2576, 2288, 3056, 1776, -16, 1584, 752, 1264, -656, 304, 0, -272, -32, -848, -1552, -1040, 1904, -3600, -1552, -2896, -16, -2832, -4624, -3344, 3568, -5776, -4624, -4368, -16, -5488, -4496, -5392, 5616, -2960, -6160, -8016, -16, -6928, -5392, -3728, 3824, -6096, -3088, -9104, -16, -4656, -16, -6496, -16, -10416, -16, -4432, -16, -5056, -16, -10048, -16, -5184, -16, -4096, -16, -7504, -16, -3888, -16, -2320, -16, -4272, -16, -2176, -416, -592, -16, -656, -32, 352, 0, 1088, -16, 3184, 384, 1328, -16, 3872, -16, 6672, -16, 3312, -16, 5264, -16, 9776, -16, 5152, -16, 6368, -16, 12128, -16, 5984, -16, 6352, -3472, 18208, -16, 17456, -8208, 12208, -16, 17008, -8976, 12720, -16, 5584, -10768, 11392, -16, 10064, -8336, 8496, -16, 9504, -5136, 6224, -16, 5808, -6928, 4384, -16, 4880, -4880, 3120, -16, 2368, -1552, 2336, 128, 144, 0, -624, -32, -1776, 2016, -1136, -16, -4928, 3056, -5344, -16, -4944, 7280, -7088, -16, -6016, 9200, -7632, -16, -7920, 6384, -11776, -16, -10320, 9968, -17008, -16, -19920, 12528, -14912, -16, -20896, 10224, -18048, -16, -20848, 9200, -22496, -16, -14480, 3824, -9424, -16, -6736, -16, -7312, -16, -10896, -16, -7936, -16, -3136, -16, -4944, -16, -5488, -16, -3152, -800, -1936, -16, -1552, -16, -288, -32, 704, 0, 2144, -16, 1344, -16, 3568, 768, 3440, -16, 4912, -16, 7888, -16, 6704, -16, 4064, -16, 10016, -16, 15488, 2672, 14720, 8944, 13600, -4880, 20144, 8048, 18880, 10864, 17632, 7152, 32624, -16, 12000, 12528, 17824, 8304, 27344, 6128, 10512, -8464, 12544, 8944, 8192, 5744, 4880, 10736, 6464, -16, 9344, 2672, 4736, 6384, 2576, 1776, 2992, -2320, 2144, 2672, 1152, 624, 768, 0, -304, -32, -944, -1808, -3872, -1936, -2144, -5392, -2880, 3824, -6352, -2704, -3760, -8976, -6496, -3600, -12256, -16, -13984, -13456, -16384, -7056, -23072, -10768, -22144, 9968, -18112, -7184, -36576, -9616, -26896, -14352, -17664, -16, -35952, -8080, -19168, -12176, -25248, -8976, -30960, 5360, -17968, -9872, -14704, -2960, -10976, -16, -12496, -16, -10000, -16, -7760, -16, -6064, -1312, -3376, -16, -3216, -16, -2704, -160, -784, -32, 544, 0, 1664, 128, 3824, -16, 6256, -16, 5744, 1280, 5264, -16, 8720, -16, 10544, -3088, 20560, -16, 27312, -11280, 20368, -16, 26320, -11536, 27712, -16, 36064, -17296, 29664, -16, 30640, -16400, 29344, -16, 31248, -8976, 36960, -16, 25056, -12304, 31184, -16, 27888, -11536, 24720, -16, 21056, -8208, 16816, -16, 2896, -8464, 5968, -16, 6304, -5136, 2672, -16, 4064, -1280, 1424, -16, 576, 0, -656, -32, -1872, 2672, -3296, -416, -3376, 3312, -7360, -16, -2640, 7664, -12272, -16, -19152, 11248, -11344, -16, -22752, 10224, -34128, -16, -19744, 13808, -26448, -16, -39472, 14320, -21712, -16, -30976, 10224, -36880, -16, -25888, 18416, -27392, -16, -28992, 19184, -26144, -16, -24896, 12656, -32608, -16, -18160, 12272, -17600, -16, -20032, 3312, -2656, -1952, -4048, -16, -6960, -16, -1696, -16, -1888, -16, -848, -32, 336, 0, 1040, -16, 4144, -16, 4352, -16, 3008, -16, 15136, 8576, 16416, -9616, 16128, 15344, 38048, -16, 21488, 21104, 20400, -18832, 40608, 15344, 39040, -16, 31888, 18416, 31904, -17424, 35088, 25584, 22704, -16, 42880, 10736, 38064, -16656, 27136, 19184, 37216, -16, 24128, 14704, 22496, -12688, 38464, 6128, 19536, -16, 14800, 11888, 19936, -5136, 8640, 5360, 5360, -16, 4320, 3056, 1552, -1536, 304, 0, -1232, -32, -3728, -2976, -1040, 4976, -4848, -6160, -11184, -16, -16944, -8080, -23632, 7152, -24368, -15888, -27520, -16, -34912, -7696, -25392, 15472, -36048, -17680, -33984, -16, -23104, -22416, -38384, 19184, -46736, -12304, -43248, -16, -27072, -28816, -34112, 19440, -29488, -20496, -31312, -16, -49440, -16912, -32816, 20592, -24016, -23056, -26560, -16, -28656, -19360, -22736, 10352, -16064, -7184, -8160, -16, -4176, -16, -2176, -16, -672, -32, 400, 0, 1232, -16, 3264, -16, 9584, -7184, 23312, -16, 19184, -18320, 18880, 2688, 33632, -16912, 16704, -16, 30032, -12688, 49856, -16, 26240, -25616, 36512, -16, 38720, -16144, 26224, -16, 24688, -13328, 48352, -16, 29792, -26896, 28752, -16, 50192, -10000, 22576, -16, 34096, -9616, 37168, -16, 16416, -15376, 32752, -16, 31600, -4240, 17696, -16, 18560, -5648, 14928, 768, 6944, -3728, 2144, -16, 1040, 0, -480, -32, -1344, 2032, -15056, -16, -22384, 6624, -23408, -16, -34608, 8432, -32528, -16, -31088, 5616, -48112, -16, -41424, 19184, -27984, -16, -57360, 11504, -51856, -16, -35056, 11632, -62576, -16, -34224, 30704, -31472, -16, -57824, 14960, -48128, -16, -34544, 17904, -47936, -16, -39344, 28144, -30896, -16, -55504, 13808, -32752, -3616, -22240, 18288, -37168, -16, -22864, 19696, -20432, -16, -22448, 7264, -7584, -160, -688, -32, 1296, 0, 8800, 9728, 14672, 11520, 24496, 14320, 19456, 13808, 34576, 13296, 38400, 19184, 35104, 28160, 28080, -11792, 32016, 28144, 41792, 21488, 27824, 10224, 53744, 19440, 42304, 18416, 46512, 15216, 62592, 18416, 40000, -16, 40944, 14320, 44496, 14960, 46672, 18416, 41744], "weight_parity": -1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": true, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 128, 12, -1, 32, 0]], "char_orbit_index": 12, "prim_orbit_index": 12, "minimal_twist": "128.3.l.a", "char_is_minimal": true, "conrey_index": 3, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}