# Stored data for newform 1849.2.a.g, downloaded from the LMFDB on 23 April 2024.
{"label": "1849.2.a.g", "space_label": "1849.2.a", "level": 1849, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27021597797779257, "dim": 2, "is_polredabs": true, "nf_label": "2.2.24.1", "trace_hash": 668677247620075594, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-6, 0, 1]]], "qexp_display": "q+\\beta q^{2}-\\beta q^{3}+4q^{4}-\\beta q^{5}-6q^{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": 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": "0.516", "prec": 17}, "analytic_rank_proved": true, "char_values": [1849, 1, [3], [1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [43], "conrey_indexes": [1], "field_disc": 24, "field_disc_factorization": [[2, 3], [3, 1]], "field_poly": [-6, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.893", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "15.028", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "149.859", "prec": 24}], "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, 0, 0], "traces": [0, 2, 0, 0, 8, 0, -12, 0, 0, 6, -12, -2, 0, -6, 12, 12, 8, -14, 0, 0, 0, -12, 0, 2, -24, 2, 0, 0, 0, 0, 0, -6, 0, 0, 0, -12, 24, 0, 24, 0, -24, -10, 0, 0, -8, 0, 0, -20, 0, -2, 0, 0, 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