# Stored data for newform 882.4.a.ba, downloaded from the LMFDB on 13 May 2024.
{"label": "882.4.a.ba", "space_label": "882.4.a", "level": 882, "weight": 4, "hecke_orbit": 27, "hecke_orbit_code": 117093590378742642, "dim": 2, "is_polredabs": true, "nf_label": "2.2.193.1", "trace_hash": 1861133943502958801, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-36, -7, 1]], [11, [-2208, 25, 1]], [13, [-606, 49, 1]]], "qexp_display": "q-2q^{2}+4q^{4}+(4-\\beta )q^{5}-8q^{8}+(-8+\\cdots)q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 14112, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 52.039684625063224, "hecke_ring_index": 1, "level_radical": 42, "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": [882, 1, [785, 199], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 7], "conrey_indexes": [1], "field_disc": 193, "field_disc_factorization": [[193, 1]], "field_poly": [-48, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.029", "prec": 17}, {"__RealLiteral__": 0, "data": "1.934", "prec": 17}, {"__RealLiteral__": 0, "data": "0.161", "prec": 17}, {"__RealLiteral__": 0, "data": "9.318", "prec": 17}, {"__RealLiteral__": 0, "data": "1.057", "prec": 17}, {"__RealLiteral__": 0, "data": "63.537", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [7, 1]], "trace_display": [-4, 0, 7, 0], "traces": [0, 2, -4, 0, 8, 7, 0, 0, -16, 0, -14, -25, 0, -49, 0, 0, 32, 98, 0, -119, 28, 0, 50, 122, 0, -129, 98, 0, 0, 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