# Stored data for newform 3042.2.a.r, downloaded from the LMFDB on 03 May 2024.
{"label": "3042.2.a.r", "space_label": "3042.2.a", "level": 3042, "weight": 2, "hecke_orbit": 18, "hecke_orbit_code": 76561193698855906, "dim": 2, "is_polredabs": true, "nf_label": "2.2.40.1", "trace_hash": 1061993010958976548, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [-9, 2, 1]], [7, [-10, 0, 1]], [11, [-6, 4, 1]], [17, [-3, 1]]], "qexp_display": "q-q^{2}+q^{4}+(-1+\\beta )q^{5}-\\beta q^{7}-q^{8}+\\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": 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": "0.032", "prec": 17}, "analytic_rank_proved": true, "char_values": [3042, 1, [677, 847], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 13], "conrey_indexes": [1], "field_disc": 40, "field_disc_factorization": [[2, 3], [5, 1]], "field_poly": [-10, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.935", "prec": 17}, {"__RealLiteral__": 0, "data": "0.039", "prec": 17}, {"__RealLiteral__": 0, "data": "9.130", "prec": 17}, {"__RealLiteral__": 0, "data": "1.523", "prec": 17}, {"__RealLiteral__": 0, "data": "58.585", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [13, 1]], "trace_display": [-2, 0, -2, 0], "traces": [0, 2, -2, 0, 2, -2, 0, 0, -2, 0, 2, -4, 0, 0, 0, 0, 2, 6, 0, -4, -2, 0, 4, -8, 0, 12, 0, 0, 0, 10, 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