# Stored data for newform 3822.2.a.bi, downloaded from the LMFDB on 18 April 2024.
{"label": "3822.2.a.bi", "space_label": "3822.2.a", "level": 3822, "weight": 2, "hecke_orbit": 35, "hecke_orbit_code": 153122387364155118, "dim": 2, "is_polredabs": true, "nf_label": "2.2.28.1", "trace_hash": 1004363377169995383, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-6, -2, 1]], [11, [-3, 4, 1]], [17, [9, -8, 1]], [29, [-27, 2, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}+(1+\\beta )q^{5}+q^{6}+\\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": "0.020", "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": 28, "field_disc_factorization": [[2, 2], [7, 1]], "field_poly": [-7, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.062", "prec": 17}, {"__RealLiteral__": 0, "data": "1.989", "prec": 17}, {"__RealLiteral__": 0, "data": "0.363", "prec": 17}, {"__RealLiteral__": 0, "data": "9.439", "prec": 17}, {"__RealLiteral__": 0, "data": "2.778", "prec": 17}, {"__RealLiteral__": 0, "data": "61.470", "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, 2, 0], "traces": [0, 2, -2, -2, 2, 2, 2, 0, -2, 2, -2, -4, -2, -2, 0, -2, 2, 8, -2, -10, 2, 0, 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