# Stored data for newform 2001.2.a.h, downloaded from the LMFDB on 20 April 2024.
{"label": "2001.2.a.h", "space_label": "2001.2.a", "level": 2001, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31525197425149905, "dim": 5, "is_polredabs": true, "nf_label": "5.5.312617.1", "trace_hash": 1548148770957759699, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [19, 11, -13, -7, 2, 1]], [5, [57, 17, -28, -9, 3, 1]]], "qexp_display": "q-\\beta _{3}q^{2}-q^{3}+(2-\\beta _{1})q^{4}+(-1+\\beta _{1}+\\cdots)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": 312617, "field_disc_factorization": [[312617, 1]], "field_poly": [-3, -1, 11, -5, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.509", "prec": 17}, {"__RealLiteral__": 0, "data": "0.366", "prec": 17}, {"__RealLiteral__": 0, "data": "59.157", "prec": 20}, {"__RealLiteral__": 0, "data": "29.830", "prec": 20}, {"__RealLiteral__": 0, "data": "1273.764", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [23, -1], [29, -1]], "trace_display": [-2, -5, -3, -5], "traces": [0, 5, -2, -5, 8, -3, 2, -5, -3, 5, 9, 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