# Stored data for newform 3381.2.a.bf, downloaded from the LMFDB on 19 April 2024.
{"label": "3381.2.a.bf", "space_label": "3381.2.a", "level": 3381, "weight": 2, "hecke_orbit": 32, "hecke_orbit_code": 139611588482043189, "dim": 8, "is_polredabs": true, "trace_hash": 707727468502646680, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [80, 37, -141, -35, 75, 11, -15, -1, 1]], [5, [-1200, 2013, 291, -933, 81, 127, -21, -5, 1]], [11, [-4384, 3056, 2704, -1864, -304, 256, -4, -10, 1]], [13, [2127, 2370, -4602, 930, 660, -158, -38, 6, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+q^{3}+(2+\\beta _{2})q^{4}+(1+\\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": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [3381, 1, [2255, 346, 442], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [3, 7, 23], "conrey_indexes": [1], "field_disc": 10438067322432, "field_disc_factorization": [[2, 6], [3, 4], [3877, 1], [519349, 1]], "field_poly": [80, 37, -141, -35, 75, 11, -15, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.072", "prec": 17}, {"__RealLiteral__": 0, "data": "6.936", "prec": 17}, {"__RealLiteral__": 0, "data": "2.711", "prec": 17}, {"__RealLiteral__": 0, "data": "142.740", "prec": 24}, {"__RealLiteral__": 0, "data": "139.510", "prec": 24}, {"__RealLiteral__": 0, "data": "4698.260", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, 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