# Stored data for newform 3549.2.a.bg, downloaded from the LMFDB on 23 April 2024.
{"label": "3549.2.a.bg", "space_label": "3549.2.a", "level": 3549, "weight": 2, "hecke_orbit": 33, "hecke_orbit_code": 144115188109413853, "dim": 15, "is_polredabs": true, "trace_hash": 1172583224994953247, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-281, -1041, 3811, 4632, -7806, -6785, 6393, 4553, -2522, -1575, 510, 290, -51, -27, 2, 1]], [5, [397312, 402944, -675648, -576600, 504860, 306312, -206759, -74303, 47961, 7829, -6081, -169, 380, -22, -9, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+q^{3}+(2+\\beta _{2})q^{4}+(1-\\beta _{13}+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 14196, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 28.33890767735241, "hecke_ring_index": 1, "level_radical": 273, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [3549, 1, [1184, 1522, 3382], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [3, 7, 13], "conrey_indexes": [1], "field_disc": 9475880096978422577698166464, "field_disc_factorization": [[2, 6], [7, 10], [13, 2], [71, 1], [379, 1], [811, 1], [3947, 1], [36007, 1]], "field_poly": [281, -1041, -3811, 4632, 7806, -6785, -6393, 4553, 2522, -1575, -510, 290, 51, -27, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.292", "prec": 17}, {"__RealLiteral__": 0, "data": "13.289", "prec": 20}, {"__RealLiteral__": 0, "data": "17.337", "prec": 20}, {"__RealLiteral__": 0, "data": "520.836", "prec": 24}, {"__RealLiteral__": 0, "data": "1425.680", "prec": 27}, {"__RealLiteral__": 0, "data": "35524.203", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 15, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [7, -1], [13, -1]], "trace_display": [-2, 15, 9, 15], "traces": [0, 15, -2, 15, 28, 9, -2, 15, -9, 15, 21, -5, 28, 0, -2, 9, 50, -1, -2, -3, 23, 15, 21, 4, -9, 50, 0, 15, 28, 9, 21, -7, -35, -5, 2, 9, 28, -17, -12, 0, 46, 22, -2, 36, -29, 9, 1, 12, 50, 15, -53, -1, 0, -5, -2, 43, -9, -3, -29, 29, 23, 12, 14, 15, 95, 0, 21, 12, -16, 4, 21, -36, -9, 29, -5, 50, -25, -5, 0, 35, 89, 15, 51, 10, 28, -23, -19, 9, 73, -25, 21, 0, -31, -7, -19, -7, -35, 26, -2, -5, 69, 32, 2, 25, 0, 9, -3, 13, 28, -6, -107, -17, 50, -11, -12, 10, -38, 0, 13, -1, 46, 52, 51, 22, -64, 93, -2, 37, -135, 36, 0, 60, -29, -3, -41, 9, 7, -12, 1, 57, 23, 12, -2, 0, 50, 7, -4, 15, -97, -41, -53, 45, -92, -1, 21, 33, 0, 50, 43, -5, 38, 4, -2, -16, 18, 43, -15, -31, -9, 0, -144, -3, 64, -31, -29, 50, -140, 29, -67, 70, 23, 42, 0, 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