# Stored data for newform 3675.2.a.bt, downloaded from the LMFDB on 16 April 2024.
{"label": "3675.2.a.bt", "space_label": "3675.2.a", "level": 3675, "weight": 2, "hecke_orbit": 46, "hecke_orbit_code": 202661983265230427, "dim": 4, "is_polredabs": true, "nf_label": "4.4.4400.1", "trace_hash": 2109700522433785725, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [11, 0, -8, 0, 1]], [11, [-20, 0, 1]], [13, [4, 6, 1]]], "qexp_display": "q-\\beta _{2}q^{2}-q^{3}+(2-\\beta _{3})q^{4}+\\beta _{2}q^{6}+\\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": 4, "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": "0.524", "prec": 17}, "analytic_rank_proved": true, "char_values": [3675, 1, [1226, 1177, 2551], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [3, 5, 7], "conrey_indexes": [1], "field_disc": 4400, "field_disc_factorization": [[2, 4], [5, 2], [11, 1]], "field_poly": [11, 0, -7, 0, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.858", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "77.343", "prec": 20}, {"__RealLiteral__": 0, "data": "31.667", "prec": 20}, {"__RealLiteral__": 0, "data": "2176.761", "prec": 27}], "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": [0, -4, 0, 0], "traces": [0, 4, 0, -4, 8, 0, 0, 0, 0, 4, 0, 0, -8, -12, 0, 0, 4, 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