# Stored data for newform 1694.2.a.z, downloaded from the LMFDB on 03 June 2024.
{"Nk2": 6776, "analytic_conductor": 13.526658102404896, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [7, 1], [11, -1]], "atkin_lehner_string": "-+-", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [1694, 1, [969, 365], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 7625, "field_disc_factorization": [[5, 3], [61, 1]], "field_poly": [16, 4, -9, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[3, [11, -13, -6, 3, 1]], [5, [-20, -40, -5, 5, 1]], [13, [-284, -26, 51, 14, 1]]], "hecke_orbit": 26, "hecke_orbit_code": 112589990717818526, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "1694.2.a.z", "level": 1694, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 7, 11], "level_radical": 154, "minimal_twist": "154.2.f.e", "nf_label": "4.4.7625.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+(-1+\\beta _{1})q^{3}+q^{4}+(-1-\\beta _{1}+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1694.2.a", "trace_display": [4, -3, -5, -4], "trace_hash": 2237317182554271583, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": 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