# Stored data for newform 882.6.a.a, downloaded from the LMFDB on 24 April 2024.
{"label": "882.6.a.a", "space_label": "882.6.a", "level": 882, "weight": 6, "hecke_orbit": 1, "hecke_orbit_code": 100664178, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 726883076442580808, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [66, 1]], [11, [-60, 1]]], "qexp_display": "q-4q^{2}+2^{4}q^{4}-66q^{5}-2^{6}q^{8}+264q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 31752, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 141.45852907504892, "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": 1, "inner_twist_count": 1, "level_primes": [2, 3, 7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.969", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.929", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.840", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [7, -1]], "trace_display": [-4, 0, -66, 0], "traces": [0, 1, -4, 0, 16, -66, 0, 0, -64, 0, 264, 60, 0, 658, 0, 0, 256, -414, 0, -956, -1056, 0, -240, -600, 0, 1231, -2632, 0, 0, -5574, 0, 3592, -1024, 0, 1656, 0, 0, -8458, 3824, 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