# Stored data for newform 1386.4.a.m, downloaded from the LMFDB on 25 April 2024.
{"label": "1386.4.a.m", "space_label": "1386.4.a", "level": 1386, "weight": 4, "hecke_orbit": 13, "hecke_orbit_code": 54043195595556202, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 59174489425716503, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-14, 1]], [13, [-38, 1]]], "qexp_display": "q+2q^{2}+4q^{4}+14q^{5}-7q^{7}+8q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 22176, "fricke_eigenval": 1, "atkin_lehner_string": "--++", "analytic_conductor": 81.77664726795649, "hecke_ring_index": 1, "level_radical": 462, "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": [1386, 1, [155, 199, 1135], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 7, 11], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "0.963", "prec": 17}, {"__RealLiteral__": 0, "data": "0.017", "prec": 17}, {"__RealLiteral__": 0, "data": "1.868", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.542", "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], [7, 1], [11, 1]], "trace_display": [2, 0, 14, -7], "traces": [0, 1, 2, 0, 4, 14, 0, -7, 8, 0, 28, -11, 0, 38, -14, 0, 16, -54, 0, 40, 56, 0, -22, -8, 0, 71, 76, 0, -28, 170, 0, 92, 32, 0, -108, -98, 0, 294, 80, 0, 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