# Stored data for newform 1386.2.a.p, downloaded from the LMFDB on 24 April 2024.
{"label": "1386.2.a.p", "space_label": "1386.2.a", "level": 1386, "weight": 2, "hecke_orbit": 16, "hecke_orbit_code": 67553994444113258, "dim": 2, "is_polredabs": true, "nf_label": "2.2.12.1", "trace_hash": 784581874532165732, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-12, 0, 1]], [13, [-2, 1]], [17, [-12, 0, 1]]], "qexp_display": "q+q^{2}+q^{4}+\\beta q^{5}+q^{7}+q^{8}+\\beta q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5544, "fricke_eigenval": -1, "atkin_lehner_string": "---+", "analytic_conductor": 11.06726572014946, "hecke_ring_index": 2, "level_radical": 462, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 12, "field_poly_is_real_cyclotomic": true, "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": "0.043", "prec": 17}, "analytic_rank_proved": true, "char_values": [1386, 1, [155, 199, 1135], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 7, 11], "conrey_indexes": [1], "field_disc": 12, "field_disc_factorization": [[2, 2], [3, 1]], "field_poly": [-3, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.941", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.616", "prec": 17}, {"__RealLiteral__": 0, "data": "0.101", "prec": 17}, {"__RealLiteral__": 0, "data": "67.384", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [7, -1], [11, 1]], "trace_display": [2, 0, 0, 2], "traces": [0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, -2, 0, 4, 2, 0, 2, 0, 0, 4, 0, 0, -2, 0, 0, 14, 4, 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