# Stored data for newform 2001.2.a.g, downloaded from the LMFDB on 19 April 2024.
{"label": "2001.2.a.g", "space_label": "2001.2.a", "level": 2001, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27021597797779409, "dim": 4, "is_polredabs": true, "nf_label": "4.4.5744.1", "trace_hash": 2187136587797390606, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [0, 1]], [5, [4, -8, -6, 2, 1]]], "qexp_display": "q-q^{3}-2q^{4}-\\beta _{1}q^{5}+(-1-\\beta _{2}+\\beta _{3})q^{7}+\\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": 2, "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": "0.010", "prec": 17}, "analytic_rank_proved": true, "char_values": [2001, 1, [668, 1132, 553], [1, 1, 1]], "hecke_ring_generator_nbound": 17, "inner_twist_count": 1, "level_primes": [3, 23, 29], "conrey_indexes": [1], "field_disc": 5744, "field_disc_factorization": [[2, 4], [359, 1]], "field_poly": [1, -2, -5, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.785", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "39.694", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "625.558", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [23, -1], [29, -1]], "trace_display": [0, -4, -2, -2], "traces": [0, 4, 0, -4, -8, -2, 0, -2, 0, 4, 0, 0, 8, 0, 0, 2, 16, 2, 0, 4, 4, 2, 0, 4, 0, -4, 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