# Stored data for newform 720.4.a.o, downloaded from the LMFDB on 18 April 2024.
{"label": "720.4.a.o", "space_label": "720.4.a", "level": 720, "weight": 4, "hecke_orbit": 15, "hecke_orbit_code": 63050394850296528, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1735289001090225370, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[7, [-30, 1]], [11, [50, 1]]], "qexp_display": "q-5q^{5}+30q^{7}-50q^{11}-20q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 11520, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 42.48137520413324, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [720, 1, [271, 181, 641, 577], [1, 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": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.005", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.997", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.934", "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, -5, 30], "traces": [0, 1, 0, 0, 0, -5, 0, 30, 0, 0, 0, -50, 0, -20, 0, 0, 0, -10, 0, 44, 0, 0, 0, -120, 0, 25, 0, 0, 0, -50, 0, -108, 0, 0, 0, -150, 0, -40, 0, 0, 0, 400, 0, -280, 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