# Stored data for newform 405.4.a.g, downloaded from the LMFDB on 25 April 2024.
{"label": "405.4.a.g", "space_label": "405.4.a", "level": 405, "weight": 4, "hecke_orbit": 7, "hecke_orbit_code": 27021597831332245, "dim": 3, "is_polredabs": true, "nf_label": "3.3.7032.1", "trace_hash": 1021021088164082927, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-18, -14, 1, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(2-\\beta _{1}+\\beta _{2})q^{4}+5q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 6480, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 23.89577355232495, "hecke_ring_index": 1, "level_radical": 15, "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": [405, 1, [326, 82], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5], "conrey_indexes": [1], "field_disc": 7032, "field_disc_factorization": [[2, 3], [3, 1], [293, 1]], "field_poly": [18, -14, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.893", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "22.530", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "261.627", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, -1]], "trace_display": [-1, 0, 15, -25], "traces": [0, 3, -1, 0, 5, 15, 0, -25, 27, 0, -5, -58, 0, -47, -159, 0, -127, -34, 0, -5, 25, 0, 260, 51, 0, 75, -253, 0, 83, 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