# Stored data for newform 1850.2.a.q, downloaded from the LMFDB on 19 April 2024.
{"label": "1850.2.a.q", "space_label": "1850.2.a", "level": 1850, "weight": 2, "hecke_orbit": 17, "hecke_orbit_code": 72057594071484218, "dim": 2, "is_polredabs": true, "nf_label": "2.2.33.1", "trace_hash": 2117582150783650921, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [2, 1]], [7, [-6, -3, 1]]], "qexp_display": "q-q^{2}-2q^{3}+q^{4}+2q^{6}+(1+\\beta )q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 7400, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 14.772324373936872, "hecke_ring_index": 1, "level_radical": 370, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [1850, 1, [1777, 1001], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 5, 37], "conrey_indexes": [1], "field_disc": 33, "field_disc_factorization": [[3, 1], [11, 1]], "field_poly": [-8, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.875", "prec": 17}, {"__RealLiteral__": 0, "data": "0.115", "prec": 17}, {"__RealLiteral__": 0, "data": "9.042", "prec": 17}, {"__RealLiteral__": 0, "data": "1.872", "prec": 17}, {"__RealLiteral__": 0, "data": "61.797", "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], [5, 1], [37, 1]], "trace_display": [-2, -4, 0, 3], "traces": [0, 2, -2, -4, 2, 0, 4, 3, -2, 2, 0, -1, -4, -2, -3, 0, 2, 5, -2, -4, 0, -6, 1, -2, 4, 0, 2, 8, 3, -1, 0, -11, -2, 2, 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