# Stored data for newform 1521.4.a.bg, downloaded from the LMFDB on 24 April 2024.
{"label": "1521.4.a.bg", "space_label": "1521.4.a", "level": 1521, "weight": 4, "hecke_orbit": 33, "hecke_orbit_code": 144115188142966257, "dim": 9, "is_polredabs": true, "trace_hash": 85116692074716638, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [344, 1464, -5898, -1257, 2310, 486, -205, -42, 5, 1]], [5, [3059376152, -79067576, -128609278, 1389429, 1945112, 11193, -12686, -266, 30, 1]], [7, [27715644424, -12058090668, 1223096892, 80750883, -15288900, 47784, 49156, -1023, -38, 1]]], "qexp_display": "q+(-1+\\beta _{1})q^{2}+(5+\\beta _{5}+\\beta _{6}+\\beta _{8})q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24336, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 89.74190511873148, "hecke_ring_index": 169, "level_radical": 39, "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": [1521, 1, [677, 847], [1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [3, 13], "conrey_indexes": [1], "field_disc": 43106219499827449, "field_disc_factorization": [[7, 6], [366396820201, 1]], "field_poly": [-4096, 3584, 4784, -3203, -1501, 680, 145, -46, -4, 1], "hecke_ring_index_factorization": [[13, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7.958", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "193.697", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7793.131", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], 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