# Stored data for newform 4.15.b.a, downloaded from the LMFDB on 24 April 2024.
{"label": "4.15.b.a", "space_label": "4.15.b", "level": 4, "weight": 15, "hecke_orbit": 1, "hecke_orbit_code": 68971134980, "dim": 6, "is_polredabs": true, "trace_hash": 298202907481115104, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "qexp_display": "q+(-15+\\beta _{1})q^{2}+(-\\beta _{1}+\\beta _{2})q^{3}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 4, "char_orbit_label": "b", "char_is_real": true, "Nk2": 900, "analytic_conductor": 4.973158726076239, "hecke_ring_index": 28991029248, "level_radical": 2, "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": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.504", "prec": 17}, "analytic_rank_proved": true, "char_values": [4, 2, [3], [1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [2], "conrey_indexes": [3], "field_disc": -5321827703026317858375, "field_disc_factorization": [[-1, 1], [3, 1], [5, 3], [7, 3], [11, 1], [13, 1], [17009819, 2]], "field_poly": [982333440, 21572352, 325632, -1824, 88, -1, 1], "hecke_ring_index_factorization": [[2, 30], [3, 3]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.396", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "148.952", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5906.162", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "14.2.3.c2", "trace_display": [-92, 0, 8060, 0], "traces": [0, 6, -92, 0, -1392, 8060, 50784, 0, 446272, -2998698, 5796840, 0, 193920, -80775396, 175232064, 0, -353013504, -120131764, 1599402372, 0, -5047343200, 1226658048, 9916985760, 0, 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