# Stored data for newform 2160.4.a.bf, downloaded from the LMFDB on 19 April 2024.
{"label": "2160.4.a.bf", "space_label": "2160.4.a", "level": 2160, "weight": 4, "hecke_orbit": 32, "hecke_orbit_code": 139611588515596400, "dim": 3, "is_polredabs": true, "nf_label": "3.3.47977.1", "trace_hash": 1997993450958646117, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [-5524, -588, 9, 1]], [11, [76426, -3081, -18, 1]]], "qexp_display": "q-5q^{5}+(-3-\\beta _{2})q^{7}+(6+\\beta _{1}-\\beta _{2})q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 34560, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 127.44412561239973, "hecke_ring_index": 18, "level_radical": 30, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [2160, 1, [271, 1621, 2081, 1297], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 5], "conrey_indexes": [1], "field_disc": 47977, "field_disc_factorization": [[47977, 1]], "field_poly": [-44, -60, -1, 1], "hecke_ring_index_factorization": [[2, 1], [3, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.872", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "22.600", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "276.002", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [5, 1]], "trace_display": [0, 0, -15, -9], "traces": [0, 3, 0, 0, 0, -15, 0, -9, 0, 0, 0, 18, 0, -21, 0, 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