# Stored data for newform 4002.2.a.ba, downloaded from the LMFDB on 20 April 2024.
{"label": "4002.2.a.ba", "space_label": "4002.2.a", "level": 4002, "weight": 2, "hecke_orbit": 27, "hecke_orbit_code": 117093590345191330, "dim": 4, "is_polredabs": true, "nf_label": "4.4.16448.2", "trace_hash": 900172375997043358, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-4, 20, -11, -2, 1]], [7, [-32, 32, 1, -6, 1]], [11, [8, -24, -26, 0, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}+\\beta _{3}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": 2, "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": "0.019", "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": 16448, "field_disc_factorization": [[2, 6], [257, 1]], "field_poly": [14, 8, -7, -2, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.036", "prec": 17}, {"__RealLiteral__": 0, "data": "3.802", "prec": 17}, {"__RealLiteral__": 0, "data": "0.060", "prec": 17}, {"__RealLiteral__": 0, "data": "40.924", "prec": 20}, {"__RealLiteral__": 0, "data": "3.671", "prec": 17}, {"__RealLiteral__": 0, "data": "686.132", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [23, -1], [29, 1]], "trace_display": [-4, -4, 2, 6], "traces": [0, 4, -4, -4, 4, 2, 4, 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