# Stored data for newform 1805.2.a.m, downloaded from the LMFDB on 16 April 2024.
{"label": "1805.2.a.m", "space_label": "1805.2.a", "level": 1805, "weight": 2, "hecke_orbit": 13, "hecke_orbit_code": 54043195562002189, "dim": 4, "is_polredabs": true, "nf_label": "4.4.7168.1", "trace_hash": 2012587078334575833, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [7, 0, -6, 0, 1]], [3, [28, 0, -12, 0, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(-\\beta _{1}-\\beta _{3})q^{3}+(1+\\beta _{2}+\\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": 7220, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 14.41299756484111, "hecke_ring_index": 1, "level_radical": 95, "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": "0.524", "prec": 17}, "analytic_rank_proved": true, "char_values": [1805, 1, [362, 1446], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [5, 19], "conrey_indexes": [1], "field_disc": 7168, "field_disc_factorization": [[2, 10], [7, 1]], "field_poly": [7, 0, -6, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.089", "prec": 17}, {"__RealLiteral__": 0, "data": "3.790", "prec": 17}, {"__RealLiteral__": 0, "data": "1.465", "prec": 17}, {"__RealLiteral__": 0, "data": "71.423", "prec": 20}, {"__RealLiteral__": 0, "data": "25.121", "prec": 20}, {"__RealLiteral__": 0, "data": "1876.289", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, -1], [19, 1]], "trace_display": [0, 0, 4, 8], "traces": [0, 4, 0, 0, 4, 4, -8, 8, 0, 12, 0, 8, 0, 0, 0, 0, -12, 8, 0, 0, 4, 0, 0, 8, -16, 4, 16, 0, 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