# Stored data for newform 3380.2.a.k, downloaded from the LMFDB on 16 April 2024.
{"label": "3380.2.a.k", "space_label": "3380.2.a", "level": 3380, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307262772, "dim": 3, "is_polredabs": true, "nf_label": "3.3.49.1", "trace_hash": 477988393807495604, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-1, -2, 1, 1]], [7, [-1, -2, 1, 1]], [19, [7, -7, 0, 1]]], "qexp_display": "q-\\beta _{1}q^{3}-q^{5}-\\beta _{1}q^{7}+(-1+\\beta _{2})q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 13520, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 26.98943588319277, "hecke_ring_index": 1, "level_radical": 130, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 14, "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": "0.010", "prec": 17}, "analytic_rank_proved": true, "char_values": [3380, 1, [1691, 677, 1861], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 13], "conrey_indexes": [1], "field_disc": 49, "field_disc_factorization": [[7, 2]], "field_poly": [1, -2, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.817", "prec": 17}, {"__RealLiteral__": 0, "data": "0.129", "prec": 17}, {"__RealLiteral__": 0, "data": "21.459", "prec": 20}, {"__RealLiteral__": 0, "data": "3.352", "prec": 17}, {"__RealLiteral__": 0, "data": "237.566", "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], [13, -1]], "trace_display": [0, -1, -3, -1], "traces": [0, 3, 0, -1, 0, -3, 0, -1, 0, -4, 0, 5, 0, 0, 0, 1, 0, -1, 0, 0, 0, 5, 0, -4, 0, 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