# Stored data for newform 4005.2.a.v, downloaded from the LMFDB on 25 April 2024.
{"label": "4005.2.a.v", "space_label": "4005.2.a", "level": 4005, "weight": 2, "hecke_orbit": 22, "hecke_orbit_code": 94575592208338853, "dim": 12, "is_polredabs": true, "trace_hash": 20603571841734452, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-27, 77, 94, -368, 4, 432, -95, -202, 58, 41, -13, -3, 1]], [7, [1, 126, 3552, 1290, -5022, -2426, 2030, 1206, -195, -184, -8, 8, 1]], [11, [-10048, -50336, -54688, 22664, 46144, -2504, -12884, 160, 1460, -6, -68, 0, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}-q^{5}+(-1-\\beta _{2}+\\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": 16020, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 31.980086009522793, "hecke_ring_index": 1, "level_radical": 1335, "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": "0.010", "prec": 17}, "analytic_rank_proved": true, "char_values": [4005, 1, [3116, 802, 181], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [3, 5, 89], "conrey_indexes": [1], "field_disc": 450140829449026204480, "field_disc_factorization": [[2, 6], [5, 1], [997, 1], [15443, 1], [91363262359, 1]], "field_poly": [-27, 77, 94, -368, 4, 432, -95, -202, 58, 41, -13, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.620", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "264.585", "prec": 24}, {"__RealLiteral__": 0, "data": "86.368", "prec": 20}, {"__RealLiteral__": 0, "data": "11214.370", "prec": 30}], "related_objects": [], 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