# Stored data for newform 3381.2.a.bk, downloaded from the LMFDB on 25 April 2024.
{"label": "3381.2.a.bk", "space_label": "3381.2.a", "level": 3381, "weight": 2, "hecke_orbit": 37, "hecke_orbit_code": 162129586618895669, "dim": 10, "is_polredabs": true, "trace_hash": 2197548438541138154, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [14, -36, -33, 108, 26, -100, 1, 36, -6, -4, 1]], [5, [392, 672, -377, -976, -24, 428, 71, -72, -16, 4, 1]], [11, [-12953, -28550, 8629, 19900, -6314, -2936, 1038, 140, -57, -2, 1]], [13, [5598, 1104, -12535, -10904, -350, 2584, 747, -96, -52, 0, 1]]], "qexp_display": "q+\\beta _{1}q^{2}-q^{3}+(\\beta _{1}+\\beta _{2})q^{4}+\\beta _{7}q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 13524, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 26.9974209233949, "hecke_ring_index": 1, "level_radical": 483, "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": "0.011", "prec": 17}, "analytic_rank_proved": true, "char_values": [3381, 1, [2255, 346, 442], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 7, 23], "conrey_indexes": [1], "field_disc": 1051473085988864, "field_disc_factorization": [[2, 19], [7, 2], [11, 2], [19, 2], [937, 1]], "field_poly": [14, -36, -33, 108, 26, -100, 1, 36, -6, -4, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.224", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "195.019", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7830.812", "prec": 27}], "related_objects": [], "self_twist_discs": [], 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