# Stored data for newform 350.4.a.l, downloaded from the LMFDB on 13 May 2024.
{"label": "350.4.a.l", "space_label": "350.4.a", "level": 350, "weight": 4, "hecke_orbit": 12, "hecke_orbit_code": 49539595968184670, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1271076346335158434, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [8, 1]], [11, [28, 1]]], "qexp_display": "q+2q^{2}-8q^{3}+4q^{4}-2^{4}q^{6}+7q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5600, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 20.650668502009214, "hecke_ring_index": 1, "level_radical": 70, "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": [350, 1, [127, 101], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5, 7], "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": "0.993", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.977", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.986", "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], [5, 1], [7, -1]], "trace_display": [2, -8, 0, 7], "traces": [0, 1, 2, -8, 4, 0, -16, 7, 8, 37, 0, -28, -32, -18, 14, 0, 16, -74, 74, 80, 0, -56, -56, 112, -64, 0, -36, -80, 28, 190, 0, 72, 32, 224, -148, 0, 148, 346, 160, 144, 0, 162, 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