# Stored data for newform 2160.4.a.bu, downloaded from the LMFDB on 18 April 2024.
{"label": "2160.4.a.bu", "space_label": "2160.4.a", "level": 2160, "weight": 4, "hecke_orbit": 47, "hecke_orbit_code": 207165582926153840, "dim": 4, "is_polredabs": true, "trace_hash": 80894753363969261, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[7, [29484, -9792, -1067, 14, 1]], [11, [1807596, -45756, -3749, 4, 1]]], "qexp_display": "q-5q^{5}+(-3+\\beta _{2})q^{7}+(-1+\\beta _{1}+\\cdots)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": 72, "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": 13, "inner_twist_count": 1, "level_primes": [2, 3, 5], "conrey_indexes": [1], "field_disc": 139933525, "field_disc_factorization": [[5, 2], [673, 1], [8317, 1]], "field_poly": [3500, 200, -141, -1, 1], "hecke_ring_index_factorization": [[2, 3], [3, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.756", "prec": 17}, {"__RealLiteral__": 0, "data": "0.010", "prec": 17}, {"__RealLiteral__": 0, "data": "39.521", "prec": 20}, {"__RealLiteral__": 0, "data": "7.853", "prec": 17}, {"__RealLiteral__": 0, "data": "635.343", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, 1]], "trace_display": [0, 0, -20, -14], "traces": [0, 4, 0, 0, 0, -20, 0, -14, 0, 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