# Stored data for newform 1849.2.a.n, downloaded from the LMFDB on 24 April 2024.
{"label": "1849.2.a.n", "space_label": "1849.2.a", "level": 1849, "weight": 2, "hecke_orbit": 14, "hecke_orbit_code": 58546795189372729, "dim": 18, "is_polredabs": true, "trace_hash": 1956458060036634367, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-27, -513, -2493, 27, 9945, 5118, -14483, -10400, 9909, 8851, -3223, -3855, 364, 897, 47, -106, -15, 5, 1]]], "qexp_display": "q-\\beta _{1}q^{2}-\\beta _{14}q^{3}+(1+\\beta _{3}-\\beta _{5}+\\beta _{7}+\\cdots)q^{4}+\\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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [1849, 1, [3], [1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [43], "conrey_indexes": [1], "field_disc": 90164088616009097141500662873, "field_disc_factorization": [[3, 9], [7, 15], [41, 2], [573989557, 1]], "field_poly": [-27, 513, -2493, -27, 9945, -5118, -14483, 10400, 9909, -8851, -3223, 3855, 364, -897, 47, 106, -15, -5, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "15.899", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "746.211", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "58017.149", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 18, "sato_tate_group": 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