# Stored data for newform 1134.2.a.k, downloaded from the LMFDB on 20 April 2024.
{"label": "1134.2.a.k", "space_label": "1134.2.a", "level": 1134, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307260526, "dim": 2, "is_polredabs": true, "nf_label": "2.2.33.1", "trace_hash": 1697701065739492953, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-6, -3, 1]], [11, [-6, -3, 1]], [13, [-2, 1]]], "qexp_display": "q-q^{2}+q^{4}+(1+\\beta )q^{5}+q^{7}-q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4536, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 9.055035589213196, "hecke_ring_index": 1, "level_radical": 42, "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": "0.009", "prec": 17}, "analytic_rank_proved": true, "char_values": [1134, 1, [407, 325], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 7], "conrey_indexes": [1], "field_disc": 33, "field_disc_factorization": [[3, 1], [11, 1]], "field_poly": [-8, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.918", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.992", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "58.767", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [7, -1]], "trace_display": [-2, 0, 3, 2], "traces": [0, 2, -2, 0, 2, 3, 0, 2, -2, 0, -3, 3, 0, 4, -2, 0, 2, -3, 0, 10, 3, 0, -3, -9, 0, 11, -4, 0, 2, -6, 0, 4, -2, 0, 3, 3, 0, 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