# Stored data for newform 2475.4.a.o, downloaded from the LMFDB on 24 April 2024.
{"label": "2475.4.a.o", "space_label": "2475.4.a", "level": 2475, "weight": 4, "hecke_orbit": 15, "hecke_orbit_code": 63050394850298283, "dim": 2, "is_polredabs": true, "nf_label": "2.2.33.1", "trace_hash": 733801519931573011, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-8, -1, 1]], [7, [-32, 2, 1]], [29, [-5136, 222, 1]]], "qexp_display": "q+\\beta q^{2}+\\beta q^{4}+(-2+2\\beta )q^{7}+(8-7\\beta )q^{8}+\\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": "0.002", "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": 33, "field_disc_factorization": [[3, 1], [11, 1]], "field_poly": [-8, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.957", "prec": 17}, {"__RealLiteral__": 0, "data": "0.061", "prec": 17}, {"__RealLiteral__": 0, "data": "9.539", "prec": 17}, {"__RealLiteral__": 0, "data": "1.023", "prec": 17}, {"__RealLiteral__": 0, "data": "65.408", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1], [11, 1]], "trace_display": [1, 0, 0, -2], "traces": [0, 2, 1, 0, 1, 0, 0, -2, 9, 0, 0, -22, 0, 76, 32, 0, -119, -26, 0, -54, 0, 0, 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