# Stored data for newform 4002.2.a.be, downloaded from the LMFDB on 10 May 2024.
{"label": "4002.2.a.be", "space_label": "4002.2.a", "level": 4002, "weight": 2, "hecke_orbit": 31, "hecke_orbit_code": 135107988854673314, "dim": 5, "is_polredabs": true, "nf_label": "5.5.2389280.1", "trace_hash": 1810149197114552385, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [49, 85, 4, -18, -1, 1]], [7, [20, 20, -26, -7, 4, 1]], [11, [42, -122, 99, -17, -5, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}+\\beta _{2}q^{5}+q^{6}+(-1+\\cdots)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": 1, "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": "0.007", "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": 2389280, "field_disc_factorization": [[2, 5], [5, 1], [109, 1], [137, 1]], "field_poly": [-18, 26, 7, -11, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.680", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "63.546", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1348.951", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [23, 1], [29, 1]], "trace_display": [-5, -5, 1, 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