# Stored data for newform 1045.2.a.k, downloaded from the LMFDB on 25 April 2024.
{"label": "1045.2.a.k", "space_label": "1045.2.a", "level": 1045, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307260437, "dim": 9, "is_polredabs": true, "trace_hash": 656795269882540116, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-27, 8, 89, -23, -84, 23, 29, -9, -3, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+\\beta _{5}q^{3}+(1+\\beta _{2})q^{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": 4180, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 8.3443670112238, "hecke_ring_index": 8, "level_radical": 1045, "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": [1045, 1, [837, 761, 496], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [5, 11, 19], "conrey_indexes": [1], "field_disc": 6664578334400, "field_disc_factorization": [[2, 6], [5, 2], [7, 1], [595051637, 1]], "field_poly": [-27, 8, 89, -23, -84, 23, 29, -9, -3, 1], "hecke_ring_index_factorization": [[2, 3]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.003", "prec": 17}, {"__RealLiteral__": 0, "data": "7.590", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "157.760", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5070.125", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 9, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, -1], [11, -1], [19, -1]], "trace_display": [3, 3, 9, 13], "traces": [0, 9, 3, 3, 9, 9, 0, 13, 9, 12, 3, 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