# Stored data for newform 1849.2.a.h, downloaded from the LMFDB on 23 April 2024.
{"label": "1849.2.a.h", "space_label": "1849.2.a", "level": 1849, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31525197425149753, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 897890319309984192, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, -3, 1]]], "qexp_display": "q+(1+\\beta )q^{2}+(2-\\beta )q^{3}+3\\beta q^{4}+2\\beta 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": 10, "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": "0.007", "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": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.055", "prec": 17}, {"__RealLiteral__": 0, "data": "1.915", "prec": 17}, {"__RealLiteral__": 0, "data": "0.334", "prec": 17}, {"__RealLiteral__": 0, "data": "9.086", "prec": 17}, {"__RealLiteral__": 0, "data": "2.710", "prec": 17}, {"__RealLiteral__": 0, "data": "58.750", "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": [3, 3, 2, 4], "traces": [0, 2, 3, 3, 3, 2, 2, 4, 6, 1, 8, -5, -3, 5, 1, -2, 13, 1, -6, -2, 18, 11, -5, 11, -1, 2, 10, 0, -9, -6, 2, 0, 15, -10, -11, -6, -21, 3, -8, 5, 26, 10, 4, 0, 0, -14, 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