# Stored data for newform 3042.2.a.bh, downloaded from the LMFDB on 19 April 2024. {"label": "3042.2.a.bh", "space_label": "3042.2.a", "level": 3042, "weight": 2, "hecke_orbit": 34, "hecke_orbit_code": 148618787736783842, "dim": 3, "is_polredabs": true, "nf_label": "3.3.49.1", "trace_hash": 193317374531160956, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [29, -16, -1, 1]], [7, [-1, 20, 9, 1]], [11, [-1, -8, -5, 1]], [17, [8, 12, -8, 1]]], "qexp_display": "q+q^{2}+q^{4}+(-\\beta _{1}-2\\beta _{2})q^{5}+(-2+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 12168, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 24.29049229487349, "hecke_ring_index": 1, "level_radical": 78, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 14, "field_poly_is_real_cyclotomic": true, "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": "0.010", "prec": 17}, "analytic_rank_proved": true, "char_values": [3042, 1, [677, 847], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 13], "conrey_indexes": [1], "field_disc": 49, "field_disc_factorization": [[7, 2]], "field_poly": [1, -2, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.075", "prec": 17}, {"__RealLiteral__": 0, "data": "2.875", "prec": 17}, {"__RealLiteral__": 0, "data": "0.594", "prec": 17}, {"__RealLiteral__": 0, "data": "23.068", "prec": 20}, {"__RealLiteral__": 0, "data": "4.075", "prec": 17}, {"__RealLiteral__": 0, "data": "282.879", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [13, -1]], "trace_display": 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