# Stored data for newform 1350.4.a.m, downloaded from the LMFDB on 18 April 2024.
{"label": "1350.4.a.m", "space_label": "1350.4.a", "level": 1350, "weight": 4, "hecke_orbit": 13, "hecke_orbit_code": 54043195595556166, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 218536819033971401, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [-23, 1]], [11, [-30, 1]], [17, [42, 1]]], "qexp_display": "q-2q^{2}+4q^{4}+23q^{7}-8q^{8}+30q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 21600, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 79.65257850774982, "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": [1350, 1, [1001, 1027], [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": "0.977", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.975", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.989", "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": [-2, 0, 0, 23], "traces": [0, 1, -2, 0, 4, 0, 0, 23, -8, 0, 0, 30, 0, -34, -46, 0, 16, -42, 0, -139, 0, 0, -60, 192, 0, 0, 68, 0, 92, 234, 0, -55, -32, 0, 84, 0, 0, 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