# Stored data for newform 3330.2.a.bk, downloaded from the LMFDB on 16 April 2024. {"label": "3330.2.a.bk", "space_label": "3330.2.a", "level": 3330, "weight": 2, "hecke_orbit": 37, "hecke_orbit_code": 162129586618895618, "dim": 5, "is_polredabs": true, "nf_label": "5.5.23544108.1", "trace_hash": 1092972751262221353, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [-48, 48, 55, -21, -3, 1]], [11, [588, 210, -111, -29, 5, 1]], [13, [-368, 304, 112, -32, -5, 1]], [17, [84, 0, -63, -5, 7, 1]]], "qexp_display": "q-q^{2}+q^{4}-q^{5}+(1+\\beta _{4})q^{7}-q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 13320, "fricke_eigenval": -1, "atkin_lehner_string": "+++-", "analytic_conductor": 26.590183873086367, "hecke_ring_index": 2, "level_radical": 1110, "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": "0.006", "prec": 17}, "analytic_rank_proved": true, "char_values": [3330, 1, [371, 667, 631], [1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 3, 5, 37], "conrey_indexes": [1], "field_disc": 23544108, "field_disc_factorization": [[2, 2], [3, 4], [7, 2], [1483, 1]], "field_poly": [-36, 9, 39, -20, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.758", "prec": 17}, {"__RealLiteral__": 0, "data": "0.452", "prec": 17}, {"__RealLiteral__": 0, "data": "66.603", "prec": 20}, {"__RealLiteral__": 0, "data": "34.735", "prec": 20}, {"__RealLiteral__": 0, "data": "1530.721", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, 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