# Stored data for newform 49.12.a.a, downloaded from the LMFDB on 19 April 2024.
{"label": "49.12.a.a", "space_label": "49.12.a", "level": 49, "weight": 12, "hecke_orbit": 1, "hecke_orbit_code": 201326641, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 721690784237413221, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [24, 1]], [3, [252, 1]]], "qexp_display": "q-24q^{2}-252q^{3}-1472q^{4}-4830q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 7056, "fricke_eigenval": -1, "atkin_lehner_string": "-", "analytic_conductor": 37.648815847419854, "hecke_ring_index": 1, "level_radical": 7, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [49, 1, [3], [1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.978", "prec": 17}, {"__RealLiteral__": 0, "data": "0.019", "prec": 17}, {"__RealLiteral__": 0, "data": "1.917", "prec": 17}, {"__RealLiteral__": 0, "data": "0.056", "prec": 17}, {"__RealLiteral__": 0, "data": "4.685", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "11.2.3.c1", "atkin_lehner_eigenvals": [[7, -1]], "trace_display": [-24, -252, -4830, 0], "traces": [0, 1, -24, -252, -1472, -4830, 6048, 0, 84480, -113643, 115920, 534612, 370944, 577738, 0, 1217160, 987136, 6905934, 2727432, -10661420, 7109760, 0, -12830688, 18643272, -21288960, -25499225, -13865712, 73279080, 0, 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