# Stored data for newform 3675.2.a.bz, downloaded from the LMFDB on 23 April 2024.
{"label": "3675.2.a.bz", "space_label": "3675.2.a", "level": 3675, "weight": 2, "hecke_orbit": 52, "hecke_orbit_code": 229683581029453403, "dim": 4, "is_polredabs": true, "nf_label": "4.4.11344.1", "trace_hash": 307481791214886607, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [2, 6, -4, -2, 1]], [11, [30, -14, -18, 0, 1]], [13, [127, 36, -28, -2, 1]]], "qexp_display": "q+(1-\\beta _{1})q^{2}-q^{3}+(2-\\beta _{1}+\\beta _{2})q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 14700, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 29.34502274282054, "hecke_ring_index": 1, "level_radical": 105, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [3675, 1, [1226, 1177, 2551], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 7], "conrey_indexes": [1], "field_disc": 11344, "field_disc_factorization": [[2, 4], [709, 1]], "field_poly": [3, 4, -4, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.114", "prec": 17}, {"__RealLiteral__": 0, "data": "3.806", "prec": 17}, {"__RealLiteral__": 0, "data": "0.436", "prec": 17}, {"__RealLiteral__": 0, "data": "38.271", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "577.753", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, -1], [7, 1]], "trace_display": [2, -4, 0, 0], "traces": [0, 4, 2, -4, 4, 0, -2, 0, 6, 4, 0, 0, -4, 2, 0, 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