# Stored data for newform 1134.2.a.f, downloaded from the LMFDB on 16 June 2025.
{"Nk2": 4536, "analytic_conductor": 9.055035589213196, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, -1], [7, 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": [1134, 1, [407, 325], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 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": [[5, [2, 1]], [11, [1, 1]], [13, [6, 1]]], "hecke_orbit": 6, "hecke_orbit_code": 22517998170408046, "hecke_ring_generator_nbound": 1, "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": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "1134.2.a.f", "level": 1134, "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, 3, 7], "level_radical": 42, "minimal_twist": "126.2.f.b", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+q^{4}-2q^{5}-q^{7}+q^{8}-2q^{10}+\\cdots", "related_objects": ["EllipticCurve/Q/1134/f"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1134.2.a", "trace_display": [1, 0, -2, -1], "trace_hash": 2163823260785981834, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.998", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.011", "prec": 17}, {"__RealLiteral__": 0, "data": "0.092", "prec": 17}, {"__RealLiteral__": 0, "data": "5.070", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.013", "prec": 17}, "traces": [0, 1, 1, 0, 1, -2, 0, -1, 1, 0, -2, -1, 0, -6, -1, 0, 1, 5, 0, -7, -2, 0, -1, -4, 0, -1, -6, 0, -1, 4, 0, -6, 1, 0, 5, 2, 0, 2, -7, 0, -2, -3, 0, -1, -1, 0, -4, 0, 0, 1, -1, 0, -6, -12, 0, 2, -1, 0, 4, 7, 0, -12, -6, 0, 1, 12, 0, 13, 5, 0, 2, 8, 0, 1, 2, 0, -7, 1, 0, -6, -2, 0, -3, -16, 0, -10, -1, 0, -1, 6, 0, 6, -4, 0, 0, 14, 0, -5, 1, 0, -1, 4, 0, 14, -6, 0, -12, -3, 0, -2, 2, 0, -1, 10, 0, 8, 4, 0, 7, -5, 0, -10, -12, 0, -6, 12, 0, -12, 1, 0, 12, 4, 0, 7, 13, 0, 5, 19, 0, -5, 2, 0, 8, 6, 0, -8, 1, 0, 2, 24, 0, 10, -7, 0, 1, 12, 0, 2, -6, 0, -2, 4, 0, -4, -3, 0, -16, -20, 0, 23, -10, 0, -1, -2, 0, 1, -1, 0, 6, -24, 0, 0, 6, 0, -4, -4, 0, -5, 0, 0, 14, -12, 0, 17, -5, 0, 1, -10, 0, 14, -1, 0, 4, -4, 0, 6, 14, 0, -6, 7, 0, -16, -12, 0, -3, 2, 0, 6, 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