# Stored data for newform 384.10.a.d, downloaded from the LMFDB on 25 April 2024.
{"label": "384.10.a.d", "space_label": "384.10.a", "level": 384, "weight": 10, "hecke_orbit": 4, "hecke_orbit_code": 13510799049884032, "dim": 4, "is_polredabs": true, "trace_hash": 1827151316203341301, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [1619372294400, 3403197440, -2525664, -1728, 1]], [7, [1474756197184144, -138919065824, -97858824, 4840, 1]]], "qexp_display": "q-3^{4}q^{3}+(432+\\beta _{1})q^{5}+(-1210+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 38400, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 197.7737610869273, "hecke_ring_index": 98304, "level_radical": 6, "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": 0, "analytic_rank_proved": true, "char_values": [384, 1, [127, 133, 257], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3], "conrey_indexes": [1], "field_disc": 828612379015680, "field_disc_factorization": [[2, 9], [3, 1], [5, 1], [7, 1], [15413176693, 1]], "field_poly": [18391464, -170336, -14124, 0, 1], "hecke_ring_index_factorization": [[2, 15], [3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.712", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "37.575", "prec": 20}, {"__RealLiteral__": 0, "data": "1.366", "prec": 17}, {"__RealLiteral__": 0, "data": "593.493", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "9.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1]], "trace_display": [0, -324, 1728, -4840], "traces": [0, 4, 0, -324, 0, 1728, 0, -4840, 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