# Stored data for newform 2166.2.a.r, downloaded from the LMFDB on 19 April 2024.
{"label": "2166.2.a.r", "space_label": "2166.2.a", "level": 2166, "weight": 2, "hecke_orbit": 18, "hecke_orbit_code": 76561193698855030, "dim": 3, "is_polredabs": true, "nf_label": "3.3.81.1", "trace_hash": 1468944487136685584, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [1, 9, 6, 1]], [7, [57, -18, -3, 1]], [13, [1, 3, -6, 1]], [29, [-1, 9, -6, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}+(-2+\\beta _{1})q^{5}-q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8664, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 17.29559707780933, "hecke_ring_index": 1, "level_radical": 114, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 18, "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": "0.019", "prec": 17}, "analytic_rank_proved": true, "char_values": [2166, 1, [1445, 1807], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 19], "conrey_indexes": [1], "field_disc": 81, "field_disc_factorization": [[3, 4]], "field_poly": [-1, -3, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.008", "prec": 17}, {"__RealLiteral__": 0, "data": "2.737", "prec": 17}, {"__RealLiteral__": 0, "data": "0.303", "prec": 17}, {"__RealLiteral__": 0, "data": "20.883", "prec": 20}, {"__RealLiteral__": 0, "data": "7.141", "prec": 17}, {"__RealLiteral__": 0, "data": "229.730", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [19, 1]], "trace_display": [3, -3, -6, 3], "traces": [0, 3, 3, -3, 3, -6, -3, 3, 3, 3, -6, 0, -3, 6, 3, 6, 3, -6, 3, 0, -6, 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