# Stored data for newform 1216.4.a.a, downloaded from the LMFDB on 25 April 2024.
{"label": "1216.4.a.a", "space_label": "1216.4.a", "level": 1216, "weight": 4, "hecke_orbit": 1, "hecke_orbit_code": 67110080, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 353390955191527225, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [5, 1]], [5, [-12, 1]]], "qexp_display": "q-5q^{3}+12q^{5}-11q^{7}-2q^{9}-54q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 19456, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 71.74632256698058, "hecke_ring_index": 1, "level_radical": 38, "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": [1216, 1, [191, 837, 705], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 19], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.048", "prec": 17}, {"__RealLiteral__": 0, "data": "0.986", "prec": 17}, {"__RealLiteral__": 0, "data": "0.060", "prec": 17}, {"__RealLiteral__": 0, "data": "1.980", "prec": 17}, {"__RealLiteral__": 0, "data": "0.121", "prec": 17}, {"__RealLiteral__": 0, "data": "5.004", "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], [19, -1]], "trace_display": [0, -5, 12, -11], "traces": [0, 1, 0, -5, 0, 12, 0, -11, 0, -2, 0, -54, 0, -11, 0, -60, 0, -93, 0, 19, 0, 55, 0, -183, 0, 19, 0, 145, 0, 249, 0, -56, 0, 270, 0, -132, 0, 250, 0, 55, 0, 240, 0, -196, 0, 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