# Stored data for newform 9408.2.a.ei, downloaded from the LMFDB on 16 April 2024.
{"label": "9408.2.a.ei", "space_label": "9408.2.a", "level": 9408, "weight": 2, "hecke_orbit": 113, "hecke_orbit_code": 504403158299059392, "dim": 3, "is_polredabs": true, "nf_label": "3.3.621.1", "trace_hash": 1832664303316525490, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [4, -9, 0, 1]], [11, [-38, -27, 0, 1]], [13, [-112, -36, 3, 1]], [17, [-96, -24, 6, 1]], [19, [112, -36, -3, 1]], [31, [-47, -21, 3, 1]]], "qexp_display": "q+q^{3}+\\beta _{2}q^{5}+q^{9}+(\\beta _{1}+\\beta _{2})q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 37632, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 75.12325822162059, "hecke_ring_index": 2, "level_radical": 42, "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": "0.028", "prec": 17}, "analytic_rank_proved": true, "char_values": [9408, 1, [1471, 6469, 3137, 4609], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 7], "conrey_indexes": [1], "field_disc": 621, "field_disc_factorization": [[3, 3], [23, 1]], "field_poly": [-3, -6, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.967", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "22.015", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "240.692", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [7, -1]], 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