# Stored data for newform 4010.2.a.j, downloaded from the LMFDB on 29 March 2024. {"label": "4010.2.a.j", "space_label": "4010.2.a", "level": 4010, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532396679892906, "dim": 12, "is_polredabs": true, "trace_hash": 882472797635143031, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-8, -120, -42, 408, 240, -391, -238, 162, 93, -30, -16, 2, 1]], [7, [128, -320, -1040, 3608, -1880, -2463, 1587, 886, -329, -186, 0, 9, 1]], [11, [-8132, -28176, 5522, 59071, 33177, -11132, -10448, 442, 1186, 20, -58, -1, 1]]], "qexp_display": "q+q^{2}-\\beta _{1}q^{3}+q^{4}-q^{5}-\\beta _{1}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16040, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 32.02001121053343, "hecke_ring_index": 1, "level_radical": 4010, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [4010, 1, [2407, 3211], [1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 5, 401], "conrey_indexes": [1], "field_disc": 18380928840741326512, "field_disc_factorization": [[2, 4], [131, 1], [51977, 1], [168719378161, 1]], "field_poly": [-8, 120, -42, -408, 240, 391, -238, -162, 93, 30, -16, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.989", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "276.156", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "18470.412", 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