# Stored data for newform 3822.2.a.bt, downloaded from the LMFDB on 25 April 2024.
{"label": "3822.2.a.bt", "space_label": "3822.2.a", "level": 3822, "weight": 2, "hecke_orbit": 46, "hecke_orbit_code": 202661983265230574, "dim": 2, "is_polredabs": true, "nf_label": "2.2.41.1", "trace_hash": 477975951017602592, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-10, -1, 1]], [11, [-4, -5, 1]], [17, [-10, 1, 1]], [29, [-10, 1, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}+\\beta q^{5}+q^{6}+q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 15288, "fricke_eigenval": -1, "atkin_lehner_string": "---+", "analytic_conductor": 30.518823652533364, "hecke_ring_index": 1, "level_radical": 546, "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": "0.015", "prec": 17}, "analytic_rank_proved": true, "char_values": [3822, 1, [2549, 3433, 1471], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 7, 13], "conrey_indexes": [1], "field_disc": 41, "field_disc_factorization": [[41, 1]], "field_poly": [-10, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.934", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.553", "prec": 17}, {"__RealLiteral__": 0, "data": "0.341", "prec": 17}, {"__RealLiteral__": 0, "data": "67.658", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [7, -1], [13, 1]], "trace_display": [2, 2, 1, 0], "traces": [0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 5, 2, -2, 0, 1, 2, -1, 2, -5, 1, 0, 5, 3, 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