# Stored data for newform 7350.2.a.do, downloaded from the LMFDB on 25 April 2024.
{"label": "7350.2.a.do", "space_label": "7350.2.a", "level": 7350, "weight": 2, "hecke_orbit": 93, "hecke_orbit_code": 414331165751647414, "dim": 3, "is_polredabs": true, "nf_label": "3.3.2700.1", "trace_hash": 2098850970522344526, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[11, [49, -27, -3, 1]], [13, [24, -12, -3, 1]], [17, [272, -48, -6, 1]], [19, [-24, -12, 3, 1]], [23, [-8, 12, 9, 1]], [31, [10, -15, 0, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 29400, "fricke_eigenval": -1, "atkin_lehner_string": "+---", "analytic_conductor": 58.69004548564108, "hecke_ring_index": 1, "level_radical": 210, "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": "0.024", "prec": 17}, "analytic_rank_proved": true, "char_values": [7350, 1, [4901, 1177, 2551], [1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 3, 5, 7], "conrey_indexes": [1], "field_disc": 2700, "field_disc_factorization": [[2, 2], [3, 3], [5, 2]], "field_poly": [-20, -15, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.027", "prec": 17}, {"__RealLiteral__": 0, "data": "2.914", "prec": 17}, {"__RealLiteral__": 0, "data": "0.270", "prec": 17}, {"__RealLiteral__": 0, "data": "22.574", "prec": 20}, {"__RealLiteral__": 0, "data": "6.033", "prec": 17}, {"__RealLiteral__": 0, "data": "255.470", "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], [5, -1], [7, -1]], "trace_display": [-3, 3, 0, 0], 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