# Stored data for newform 5054.2.a.bi, downloaded from the LMFDB on 20 April 2024.
{"label": "5054.2.a.bi", "space_label": "5054.2.a", "level": 5054, "weight": 2, "hecke_orbit": 35, "hecke_orbit_code": 153122387364156350, "dim": 8, "is_polredabs": true, "nf_label": "8.8.19520000000.1", "trace_hash": 1826684741960099725, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [1, 34, 2, -98, 15, 38, -8, -4, 1]], [5, [-79, 46, 122, -82, -50, 42, 2, -6, 1]], [13, [181, -144, -888, -422, 355, 182, -38, -6, 1]]], "qexp_display": "q+q^{2}+(1+\\beta _{5}-\\beta _{7})q^{3}+q^{4}+(1+\\beta _{1}+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 20216, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 40.356393181555106, "hecke_ring_index": 1, "level_radical": 266, "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": "0.013", "prec": 17}, "analytic_rank_proved": true, "char_values": [5054, 1, [1445, 1807], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 7, 19], "conrey_indexes": [1], "field_disc": 19520000000, "field_disc_factorization": [[2, 12], [5, 7], [61, 1]], "field_poly": [-4, -32, -72, -24, 50, 16, -12, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.146", "prec": 17}, {"__RealLiteral__": 0, "data": "7.065", "prec": 17}, {"__RealLiteral__": 0, "data": "3.533", "prec": 17}, {"__RealLiteral__": 0, "data": "148.573", "prec": 24}, {"__RealLiteral__": 0, "data": "159.979", "prec": 24}, {"__RealLiteral__": 0, "data": "5137.383", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 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