# Stored data for newform 2025.4.a.q, downloaded from the LMFDB on 20 April 2024.
{"label": "2025.4.a.q", "space_label": "2025.4.a", "level": 2025, "weight": 4, "hecke_orbit": 17, "hecke_orbit_code": 72057594105038825, "dim": 3, "is_polredabs": true, "nf_label": "3.3.2292.1", "trace_hash": 1983198288348408415, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-3, -17, 1, 1]], [7, [5337, 195, -43, 1]], [11, [43548, -2816, 14, 1]]], "qexp_display": "q+\\beta _{2}q^{2}+(3-\\beta _{1}-\\beta _{2})q^{4}+(14-2\\beta _{1}+\\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": 32400, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 119.47886776162474, "hecke_ring_index": 3, "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": [2025, 1, [326, 1702], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5], "conrey_indexes": [1], "field_disc": 2292, "field_disc_factorization": [[2, 2], [3, 1], [191, 1]], "field_poly": [1, -13, -1, 1], "hecke_ring_index_factorization": [[3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.857", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "22.158", "prec": 20}, {"__RealLiteral__": 0, "data": "3.197", "prec": 17}, {"__RealLiteral__": 0, "data": "268.424", "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, 0, 43], "traces": [0, 3, -1, 0, 11, 0, 0, 43, -27, 0, 0, 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