# Stored data for newform 4002.2.a.bh, downloaded from the LMFDB on 23 April 2024.
{"label": "4002.2.a.bh", "space_label": "4002.2.a", "level": 4002, "weight": 2, "hecke_orbit": 34, "hecke_orbit_code": 148618787736784802, "dim": 7, "is_polredabs": true, "trace_hash": 445649715103478540, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [64, -128, -44, 120, 21, -23, -1, 1]], [7, [-160, -144, 168, 136, -44, -26, 2, 1]], [11, [-1024, 2432, -516, -506, 169, 17, -11, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}+\\beta _{3}q^{5}+q^{6}-\\beta _{6}q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16008, "fricke_eigenval": -1, "atkin_lehner_string": "---+", "analytic_conductor": 31.95613088891641, "hecke_ring_index": 4, "level_radical": 4002, "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": "0.009", "prec": 17}, "analytic_rank_proved": true, "char_values": [4002, 1, [2669, 3133, 553], [1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 23, 29], "conrey_indexes": [1], "field_disc": 39166666096, "field_disc_factorization": [[2, 4], [239, 1], [10242329, 1]], "field_poly": [70, -54, -152, 45, 51, -16, -3, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.089", "prec": 17}, {"__RealLiteral__": 0, "data": "6.228", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "112.116", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3090.262", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 7, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [23, -1], [29, 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