# Stored data for newform 900.4.a.b, downloaded from the LMFDB on 25 April 2024.
{"label": "900.4.a.b", "space_label": "900.4.a", "level": 900, "weight": 4, "hecke_orbit": 2, "hecke_orbit_code": 4503599694480260, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1166893153253876941, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [32, 1]], [11, [36, 1]]], "qexp_display": "q-2^{5}q^{7}-6^{2}q^{11}+10q^{13}-78q^{17}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 14400, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 53.10171900516655, "hecke_ring_index": 1, "level_radical": 30, "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": [900, 1, [451, 101, 577], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.028", "prec": 17}, {"__RealLiteral__": 0, "data": "1.013", "prec": 17}, {"__RealLiteral__": 0, "data": "0.070", "prec": 17}, {"__RealLiteral__": 0, "data": "2.045", "prec": 17}, {"__RealLiteral__": 0, "data": "0.194", "prec": 17}, {"__RealLiteral__": 0, "data": "5.133", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, 1]], "trace_display": [0, 0, 0, -32], "traces": [0, 1, 0, 0, 0, 0, 0, -32, 0, 0, 0, -36, 0, 10, 0, 0, 0, -78, 0, 140, 0, 0, 0, -192, 0, 0, 0, 0, 0, -6, 0, -16, 0, 0, 0, 0, 0, 34, 0, 0, 0, 390, 0, 52, 0, 0, 0, 408, 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