# Stored data for newform 784.4.a.be, downloaded from the LMFDB on 19 April 2024.
{"label": "784.4.a.be", "space_label": "784.4.a", "level": 784, "weight": 4, "hecke_orbit": 31, "hecke_orbit_code": 135107988888224528, "dim": 3, "is_polredabs": true, "nf_label": "3.3.1929.1", "trace_hash": 947577364568580689, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [7, -25, -7, 1]], [5, [-2063, -333, 3, 1]]], "qexp_display": "q+(2-\\beta _{1})q^{3}+(-1+\\beta _{1}-\\beta _{2})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 12544, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 46.25749744450064, "hecke_ring_index": 8, "level_radical": 14, "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": 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