# Stored data for newform 342.3.l.a, downloaded from the LMFDB on 23 May 2024. {"Nk2": 3078, "analytic_conductor": 9.318825041122153, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 171, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 12, "char_orbit_label": "l", "char_order": 6, "char_parity": -1, "char_values": [342, 6, [191, 325], [4, 3]], "cm_discs": [], "conrey_index": 151, "dim": 80, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 755964576086, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0], [1, 1, 19, 2, -1, 2, 0], [1, 1, 171, 15, -1, 6, 0]], "is_cm": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "342.3.l.a", "level": 342, "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, 19], "level_radical": 114, "minimal_twist": "342.3.l.a", "prim_orbit_index": 15, "related_objects": [], "relative_dim": 40, "rm_discs": [], "sato_tate_group": "2.2.3.c6", "self_twist_discs": [], "self_twist_type": 0, "space_label": "342.3.l", "trace_display": [0, 0, 0, -4], "traces": [80, 0, 0, 80, 0, 8, -4, 0, 4, 0, 12, 0, 0, 0, 0, -160, 96, 0, 40, 0, 0, 0, -48, -16, -200, 0, 0, -16, 0, 40, 0, 0, 0, 0, 432, -8, 0, 24, 0, 0, 0, 88, 28, 48, 380, 0, 240, 0, -228, 0, 0, 0, 0, -64, 0, 0, -120, 0, 0, 0, -28, -144, 44, -640, 0, 16, 0, 96, 0, 0, 0, 0, -368, -24, 0, 40, -456, 0, 0, 0, 652, -192, -84, 0, 0, 0, 492, 0, 0, 0, 0, 96, 504, 0, -324, -64, 0, 0, -604, -800, 156, 376, 0, 0, 0, 0, 0, 0, 0, 0, 192, -16, 0, 608, 24, 0, 0, -240, 504, -224, -236, 0, -264, 0, -1224, 0, 0, 0, 0, -96, -1176, 0, -200, 1296, 0, 0, 648, -872, -220, 432, 0, -192, 0, -32, 0, 0, 0, 0, -96, 216, 0, 96, -76, 0, 0, -576, 368, -432, -696, 0, -792, 0, -448, 0, 0, 0, 0, 16, 548, 0, -236, 112, 0, 0, -8, 48, 1836, -288, 0, 32, 0, 408, 0, 0, 0, 0, -204, 960, 0, -432, -1104, 0, 0, 720, 180, 456, 1968, 0, 616, 0, -768, 0, 0, 0, 0, -576, -520, 0, -684, 1688, 0, 0, 348, -408, -1200, 32, 0, -120, 0, 0, 0, 0, 0, 0, 3384, 2112, 0, -696, -88, 0, 0, 0, -408, 576, 0, 0, 900, 0, 2256, 0, 0, 0, 0, -112, -1308, 0, -444, -144, 0, 0, -4152, 488, 264, 72, 0, -640, 0, 712, 0, 0, 0, 0, -1872, 352, 0, 912, -1056, 0, 0, -296, 3616, -192, 2112, 0, 2244, 0, -184, 0, 0, 0, 0, -128, 1132, 0, 1776, -360, 0, 0, 4096, -192, -5532, -368, 0, -1944, 0, -96, 0, 0, 0, 0, -128, -1128, 0, -80, 2760, 0, 0, 912, -2808, 1032, -636, 0, 1004, 0, -5516, 0, 0, 0, 0, 0, -5304, 0, -840, 352, 0, 0, 984, -192, 780, -1720, 0, -336, 0, 0, 0, 0, 0, 0, -1788, 0, 0, 1752, 1288, 0, 0, 264, -3396, 456, 196, 0, -2196, 0, 3408, 0, 0, 0, 0, -240, 4344, 0, -160, -1536, 0, 0, 2172, 40, -800, 384, 0, 192, 0, 0, 0, 0, 0, 0, 5760, -656, 0, 648, -252, 0, 0, -64, 1104, 2016, -1948, 0, 1224, 0, -132, 0, 0, 0, 0, -1168, -104, 0, -3108, -800, 0, 0, 1572, 624, 2456, 576, 0, 1024, 0, 2832, 0, 0, 0, 0, -1848, 0, 0, 384, -2196, 0, 0, -7488, -364, 0, -2592, 0, -628, 0, 5616, 0, 0, 0, 0, -1848, 3996, 0, 72, -4952, 0, 0, -6096, 720, 1032, 1488, 0, -600, 0, 32, 0, 0, 0, 0, -276, 168, 0, 992, 1084, 0, 0, 96, -2976, -3928, -584, 0, 2076, 0, -12312, 0, 0, 0, 0, -240, -2592, 0, -760, 2016, 0, 0, 4224, -608, -1272, 432, 0, 472, 0, -1384, 0, 0, 0, 0, -2880, -888, 0, -2112, 2392, 0, 0, 280, -556, -1224, -2304, 0, -3600, 0, -3168, 0, 0, 0, 0, 3296, -1388, 0, 3336, 1392, 0, 0, 2604, -96, 4944, 192, 0, -2688, 0, 2352, 0, 0, 0, 0, -440, 960, 0, -800, -2724, 0, 0, 1296, 7116, 624, 1944, 0, -944, 0, 3936, 0, 0, 0, 0, 2592, 4664, 0, -180, 448, 0, 0, 2592, 440, 1608, 1320, 0, -864, 0, -1608, 0, 0, 0, 0, 4376, -768, 0, -5144, 1792, 0, 0, 0, 12840, -32, -5680, 0, 6804, 0, 11616, 0, 0, 0, 0, 1824, -2316, 0, 1608, -1632, 0, 0, -12096, 5584, 4728, 192, 0, 1368, 0, -192, 0, 0, 0, 0, -4764, 3616, 0, 96, -7608, 0, 0, -1288, -8992, -2256, 12612, 0, 3168, 0, 608, 0, 0, 0, 0, -1152, -2776, 0, 5544, -736, 0, 0, -256, 864, -13104, 408, 0, 1008, 0, -10560, 0, 0, 0, 0, 1900, -792, 0, 504, 14688, 0, 0, 5640, -12588, -448, -1344, 0, -2112, 0, -3928, 0, 0, 0, 0, -4200, -10428, 0, 6792, 4128, 0, 0, 9732, 672, -2400, -320, 0, 1920, 0, 2192, 0, 0, 0, 0, -2976, 312, 0, 1912, -4344, 0, 0, 112, -2460, 6416, -1976, 0, -11576, 0, 14388, 0, 0, 0, 0, 16, 576, 0, -1752, -96, 0, 0, 4008, -960, 2224, -3600, 0, -1152, 0, 5288, 0, 0, 0, 0, 6288, -1456, 0, 528, 2616, 0, 0, 1944, -4280, 1632, -4568, 0, 5988, 0, -1196, 0, 0, 0, 0, 288, 4088, 0, -8508, -336, 0, 0, -5436, 480, 15020, -816, 0, 6536, 0, 960, 0, 0, 0, 0, -5368, -2544, 0, -432, -7116, 0, 0, -4416, 7852, -1680, 3408, 0, -2188, 0, 2376, 0, 0, 0, 0, -1440, 10140, 0, -2364, -3144, 0, 0, -8952, 1824, -2016, 400, 0, 1968, 0, -888, 0, 0, 0, 0, -4788, 616, 0, 592, 2448, 0, 0, 4656, -8040, -4152, 192, 0, -7428, 0, -23856, 0, 0, 0, 0, -816, -2952, 0, -676, -3072, 0, 0, 8712, -5216, -832, -576, 0, 1800, 0, -5656, 0, 0, 0, 0, -7188, -2744, 0, -2736, 600, 0, 0, 5504, -1660, -4368, -10416, 0, -11112, 0, -1640, 0, 0, 0, 0, 1800, -3392, 0, 3812, -1632, 0, 0, -496, -1200, 3744, 0, 0, 320, 0, 5088, 0, 0, 0, 0, -2136, -480, 0, 1968, -10824, 0, 0, 6024, 3600, 0, -1872, 0, -6784, 0, 12324, 0, 0, 0, 0, 16320, 4808, 0, -6660, -2720, 0, 0, 4584, 3312, 16200, 3384, 0, 4440, 0, 2112, 0, 0, 0, 0, 12584, -9792, 0, -912, -6072, 0, 0, 176, 16992, -728, 9152, 0, 8436, 0, 9456, 0, 0, 0, 0, 0, -492, 0, -1488, -408, 0, 0, -21672, 1920, -6680, 3384, 0, 0, 0, 2728, 0, 0, 0, 0, -3912, 1440, 0, -2256, 4224, 0, 0, -6936, 8184, -4512, 12216, 0, 9444, 0, 1760, 0, 0, 0, 0, -2080, 5768, 0, 7560, 4032, 0, 0, -12832, 480, -33288, -112, 0, 496, 0, -5232, 0, 0, 0, 0, 1848, -3432, 0, 888, 20376, 0, 0, 288, -16704, -3360, 1800, 0, -1012, 0, -23520, 0], "weight": 3, "weight_parity": -1, "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}