# Stored data for newform 320.4.a.h, downloaded from the LMFDB on 19 April 2024.
{"label": "320.4.a.h", "space_label": "320.4.a", "level": 320, "weight": 4, "hecke_orbit": 8, "hecke_orbit_code": 31525197458702656, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 414052724612160673, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-2, 1]], [7, [6, 1]]], "qexp_display": "q+2q^{3}+5q^{5}-6q^{7}-23q^{9}+2^{5}q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5120, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 18.880611201836995, "hecke_ring_index": 1, "level_radical": 10, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [320, 1, [191, 261, 257], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.035", "prec": 17}, {"__RealLiteral__": 0, "data": "0.976", "prec": 17}, {"__RealLiteral__": 0, "data": "0.028", "prec": 17}, {"__RealLiteral__": 0, "data": "1.915", "prec": 17}, {"__RealLiteral__": 0, "data": "0.013", "prec": 17}, {"__RealLiteral__": 0, "data": "4.735", "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], [5, -1]], "trace_display": [0, 2, 5, -6], "traces": [0, 1, 0, 2, 0, 5, 0, -6, 0, -23, 0, 32, 0, 38, 0, 10, 0, 26, 0, 100, 0, -12, 0, 78, 0, 25, 0, -100, 0, 50, 0, 108, 0, 64, 0, -30, 0, -266, 0, 76, 0, 22, 0, 442, 0, -115, 0, 514, 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