# Stored data for newform 1849.2.a.m, downloaded from the LMFDB on 25 April 2024.
{"label": "1849.2.a.m", "space_label": "1849.2.a", "level": 1849, "weight": 2, "hecke_orbit": 13, "hecke_orbit_code": 54043195562002233, "dim": 10, "is_polredabs": true, "nf_label": "10.10.2414538435584.1", "trace_hash": 835590420271997243, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(\\beta _{1}-\\beta _{3})q^{3}+\\beta _{2}q^{4}+(-\\beta _{1}+\\cdots)q^{5}+\\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": 44, "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": "0.518", "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": 2414538435584, "field_disc_factorization": [[2, 10], [11, 9]], "field_poly": [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.728", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "544.843", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "44581.820", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 10, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[43, 1]], "trace_display": [0, 0, 0, 0], "traces": [0, 10, 0, 0, 2, 0, 22, 0, 0, 14, -22, -10, 0, -14, 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