# Stored data for newform 1694.4.a.i, downloaded from the LMFDB on 16 May 2024.
{"label": "1694.4.a.i", "space_label": "1694.4.a", "level": 1694, "weight": 4, "hecke_orbit": 9, "hecke_orbit_code": 36028797086074526, "dim": 2, "is_polredabs": true, "nf_label": "2.2.133.1", "trace_hash": 970085819450488738, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-27, 5, 1]], [5, [1, 1]], [13, [-52, -18, 1]]], "qexp_display": "q-2q^{2}+(-2-\\beta )q^{3}+4q^{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": 27104, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 99.9492355497246, "hecke_ring_index": 1, "level_radical": 154, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [1694, 1, [969, 365], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 7, 11], "conrey_indexes": [1], "field_disc": 133, "field_disc_factorization": [[7, 1], [19, 1]], "field_poly": [-33, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.909", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.251", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "63.872", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [7, 1], [11, -1]], "trace_display": [-4, -5, -2, -14], "traces": [0, 2, -4, -5, 8, -2, 10, -14, -16, 25, 4, 0, -20, 18, 28, 5, 32, 81, -50, 6, -8, 35, 0, -53, 40, -248, -36, -260, 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