# Stored data for newform 2475.4.a.t, downloaded from the LMFDB on 12 May 2024.
{"label": "2475.4.a.t", "space_label": "2475.4.a", "level": 2475, "weight": 4, "hecke_orbit": 20, "hecke_orbit_code": 85568392987150763, "dim": 3, "is_polredabs": true, "nf_label": "3.3.47528.1", "trace_hash": 1734221937093709151, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-48, -25, 2, 1]], [7, [-3448, -604, 10, 1]], [29, [629760, -14308, -220, 1]]], "qexp_display": "q+(-1+\\beta _{1})q^{2}+(10+\\beta _{2})q^{4}+(-4+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 39600, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 146.02972726420802, "hecke_ring_index": 1, "level_radical": 165, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [2475, 1, [551, 2377, 2026], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 11], "conrey_indexes": [1], "field_disc": 47528, "field_disc_factorization": [[2, 3], [13, 1], [457, 1]], "field_poly": [-22, -26, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.988", "prec": 17}, {"__RealLiteral__": 0, "data": "0.442", "prec": 17}, {"__RealLiteral__": 0, "data": "24.717", "prec": 20}, {"__RealLiteral__": 0, "data": "9.877", "prec": 17}, {"__RealLiteral__": 0, "data": "310.145", "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], [11, 1]], "trace_display": [-2, 0, 0, -10], "traces": [0, 3, -2, 0, 30, 0, 0, -10, 18, 0, 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