# Stored data for newform 3350.2.a.k, downloaded from the LMFDB on 09 May 2024.
{"label": "3350.2.a.k", "space_label": "3350.2.a", "level": 3350, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307262742, "dim": 3, "is_polredabs": true, "nf_label": "3.3.756.1", "trace_hash": 1463461027041157302, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-2, -6, 0, 1]], [7, [-7, -3, 3, 1]]], "qexp_display": "q-q^{2}+\\beta _{1}q^{3}+q^{4}-\\beta _{1}q^{6}+(-1+\\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": 13400, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 26.74988467712893, "hecke_ring_index": 1, "level_radical": 670, "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": "0.026", "prec": 17}, "analytic_rank_proved": true, "char_values": [3350, 1, [1877, 3151], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 67], "conrey_indexes": [1], "field_disc": 756, "field_disc_factorization": [[2, 2], [3, 3], [7, 1]], "field_poly": [-2, -6, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.072", "prec": 17}, {"__RealLiteral__": 0, "data": "2.860", "prec": 17}, {"__RealLiteral__": 0, "data": "0.195", "prec": 17}, {"__RealLiteral__": 0, "data": "21.620", "prec": 20}, {"__RealLiteral__": 0, "data": "0.231", "prec": 17}, {"__RealLiteral__": 0, "data": "244.099", "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], [5, 1], [67, -1]], "trace_display": [-3, 0, 0, -3], "traces": [0, 3, -3, 0, 3, 0, 0, -3, -3, 3, 0, 9, 0, 0, 3, 0, 3, 0, -3, 0, 0, 12, -9, -6, 0, 0, 0, 6, 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