# Stored data for newform 1849.2.a.f, downloaded from the LMFDB on 25 April 2024.
{"label": "1849.2.a.f", "space_label": "1849.2.a", "level": 1849, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170408761, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 124232291438047007, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-2, 0, 1]]], "qexp_display": "q+\\beta q^{2}-\\beta q^{3}+(-2-\\beta )q^{5}-2q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 7396, "fricke_eigenval": -1, "atkin_lehner_string": "-", "analytic_conductor": 14.764339333734743, "hecke_ring_index": 1, "level_radical": 43, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 8, "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": "0.027", "prec": 17}, "analytic_rank_proved": true, "char_values": [1849, 1, [3], [1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [43], "conrey_indexes": [1], "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.032", "prec": 17}, {"__RealLiteral__": 0, "data": "1.931", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.451", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "63.698", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[43, -1]], "trace_display": [0, 0, -4, 4], "traces": [0, 2, 0, 0, 0, -4, -4, 4, 0, -2, -4, -2, 0, 2, 4, 4, -8, 10, 0, 4, 0, -4, -8, 2, 8, 2, -8, 0, 0, 0, 8, -6, 0, 8, -8, -12, 0, 0, -8, 8, 8, -2, -8, 0, 0, 4, 16, 12, 0, -2, 16, 8, 0, 22, 16, 12, 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