# Stored data for newform 2001.2.a.k, downloaded from the LMFDB on 07 May 2024.
{"label": "2001.2.a.k", "space_label": "2001.2.a", "level": 2001, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307261393, "dim": 10, "is_polredabs": true, "trace_hash": 2147344986335297666, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-16, 160, -441, 388, 89, -254, 45, 49, -14, -3, 1]], [5, [-2, 38, -185, 180, 158, -223, -27, 69, -5, -6, 1]]], "qexp_display": "q+\\beta _{3}q^{2}-q^{3}+(2+\\beta _{6})q^{4}+(1+\\beta _{4}+\\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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [2001, 1, [668, 1132, 553], [1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [3, 23, 29], "conrey_indexes": [1], "field_disc": 2899063035023024, "field_disc_factorization": [[2, 4], [1917749, 1], [94481311, 1]], "field_poly": [-11, -23, 60, 101, -106, -88, 69, 23, -17, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.123", "prec": 17}, {"__RealLiteral__": 0, "data": "9.103", "prec": 17}, {"__RealLiteral__": 0, "data": "0.229", "prec": 17}, {"__RealLiteral__": 0, "data": "246.930", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10481.763", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 10, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [23, 1], [29, -1]], 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