# Stored data for newform 2001.2.a.i, downloaded from the LMFDB on 25 April 2024.
{"label": "2001.2.a.i", "space_label": "2001.2.a", "level": 2001, "weight": 2, "hecke_orbit": 9, "hecke_orbit_code": 36028797052520401, "dim": 7, "is_polredabs": true, "trace_hash": 1510808435404146646, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-8, 1, 26, 4, -18, -5, 3, 1]], [5, [-8, 6, 29, -5, -30, -9, 3, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+q^{3}+(\\beta _{1}+\\beta _{2})q^{4}-\\beta _{4}q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8004, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 15.978065444458204, "hecke_ring_index": 1, "level_radical": 2001, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [2001, 1, [668, 1132, 553], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 23, 29], "conrey_indexes": [1], "field_disc": 913943329, "field_disc_factorization": [[13, 1], [2083, 1], [33751, 1]], "field_poly": [8, 1, -26, 4, 18, -5, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6.306", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "111.587", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3064.400", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 7, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [23, -1], [29, 1]], "trace_display": [-3, 7, -3, -5], "traces": [0, 7, -3, 7, 5, -3, -3, -5, -6, 7, 3, -4, 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