# Stored data for newform 354.8.a.b, downloaded from the LMFDB on 24 April 2024.
{"label": "354.8.a.b", "space_label": "354.8.a", "level": 354, "weight": 8, "hecke_orbit": 2, "hecke_orbit_code": 4503599761588578, "dim": 5, "is_polredabs": true, "trace_hash": 56907414643552308, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [-12114512550, 22059975, 14057394, -94576, -164, 1]]], "qexp_display": "q+8q^{2}+3^{3}q^{3}+2^{6}q^{4}+(33+\\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": 22656, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 110.5842990213791, "hecke_ring_index": 12, "level_radical": 354, "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": [354, 1, [119, 61], [1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 59], "conrey_indexes": [1], "field_disc": 1883047962649928145, "field_disc_factorization": [[3, 1], [5, 1], [19, 1], [31729, 1], [208238073493, 1]], "field_poly": [-17264060, 3760259, -12837, -6162, -1, 1], "hecke_ring_index_factorization": [[2, 2], [3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.758", "prec": 17}, {"__RealLiteral__": 0, "data": "0.544", "prec": 17}, {"__RealLiteral__": 0, "data": "62.654", "prec": 20}, {"__RealLiteral__": 0, "data": "36.235", "prec": 20}, {"__RealLiteral__": 0, "data": "1265.790", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "7.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [59, -1]], "trace_display": [40, 135, 164, -76], "traces": [0, 5, 40, 135, 320, 164, 1080, -76, 2560, 3645, 1312, -15730, 8640, 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