# Stored data for newform 3703.2.a.b, downloaded from the LMFDB on 18 April 2024.
{"label": "3703.2.a.b", "space_label": "3703.2.a", "level": 3703, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660928631, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1964909545692869955, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 1, 1]], [5, [-4, -2, 1]]], "qexp_display": "q-\\beta q^{2}-q^{3}+(-1+\\beta )q^{4}+(2-2\\beta )q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 14812, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 29.568603868480125, "hecke_ring_index": 1, "level_radical": 161, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 10, "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": "0.021", "prec": 17}, "analytic_rank_proved": true, "char_values": [3703, 1, [2117, 3179], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [7, 23], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.876", "prec": 17}, {"__RealLiteral__": 0, "data": "0.151", "prec": 17}, {"__RealLiteral__": 0, "data": "8.585", "prec": 17}, {"__RealLiteral__": 0, "data": "1.675", "prec": 17}, {"__RealLiteral__": 0, "data": "53.545", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[7, -1], [23, -1]], "trace_display": [-1, -2, 2, 2], "traces": [0, 2, -1, -2, -1, 2, 1, 2, 0, -4, 4, 0, 1, -4, -1, -2, -3, 0, 2, 10, -6, -2, -10, 0, 0, 2, 7, 10, -1, 6, -4, -18, 9, 0, 0, 2, 2, -2, 0, 4, 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