# Stored data for newform 154.2.a.b, downloaded from the LMFDB on 26 May 2022.
{"level_primes": [2, 7, 11], "is_polredabs": true, "sato_tate_group": "1.2.3.c1", "rm_discs": [], "conrey_indexes": [1], "cm_discs": [], "trace_hash": 808547664123825555, "level_radical": 154, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": ["EllipticCurve/Q/154/b"], "prim_orbit_index": 1, "is_cm": false, "hecke_orbit": 2, "analytic_conductor": 1.229696191127718, "inner_twist_count": 1, "field_disc_factorization": [], "is_rm": false, "char_order": 1, "level_is_square": false, "weight_parity": 1, "label": "154.2.a.b", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "154.2.a.b", "field_poly_is_cyclotomic": false, "dim": 1, "trace_zratio": {"__RealLiteral__": 0, "data": "0.019", "prec": 17}, "traces": [0, 1, -1, 2, 1, 2, -2, -1, -1, 1, -2, 1, 2, -4, 1, 4, 1, 0, -1, 4, 2, -2, -1, 4, -2, -1, 4, -4, -1, 2, -4, -10, -1, 2, 0, -2, 1, -6, -4, -8, -2, 0, 2, -4, 1, 2, -4, 10, 2, 1, 1, 0, -4, -14, 4, 2, 1, 8, -2, 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-4, 0, -40, -16, 4, 40, 30, 30, 4, -25, -10, 60, -4, 6, -10, -1, -14, 0, 0, -24, -8, 4, -8, 8, 12, 12, 8, 14, -8, 0, 16, 40, 4, 8, 10, -34, 10, 16, -8, -32, 14, 6, -16, 12, 8, -22, 28, 0, 2, -42, -1, -4, 0, 40, -4, -28, 12, 16, -20, -11, -14, 40, -44, 24, 1, -32, -6, -20, -1, 0, 0, 8, 14, 28, -32, 48, 8, 12, -8, -4, 8, 4, 38, -32, -10, -8, 0, -56, -8, 32, -32, 16, -2, 6, -12, 2, -2, -10, 40, 4, 6, -12, -14, 0, 4, -52, 8, -12, 20, 0, -20, 0, 10, 8, 4, 12, 32, -16, 4, -36, 0, 34, 14, 16, -8, 4, -12, -6, 4, 69, -24, -12, 8, -12, 8, -24, -1, 0, -12, 30, -10, -20, -12, 8, -8, -22, -48, 10, 2, -14, 28, 26, 0, -36, 0, -20, -16, -16, -2, -4, 10, -40, -4, -28, 8, 36, 16, 24, 12], "hecke_ring_index_factorization": [], "nf_label": "1.1.1.1", "field_poly": [0, 1], "atkin_lehner_string": "++-", "has_non_self_twist": 0, "atkin_lehner_eigenvals": [[2, 1], [7, 1], [11, -1]], "char_values": [154, 1, [45, 57], [1, 1]], "Nk2": 616, "field_poly_root_of_unity": 0, "analytic_rank": 0, "char_orbit_label": "a", "weight": 2, "trace_display": [-1, 2, 2, -1], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": true, "hecke_ring_index": 1, "level_is_prime": false, "char_is_minimal": true, "qexp_display": "q-q^{2}+2q^{3}+q^{4}+2q^{5}-2q^{6}-q^{7}+\\cdots", "self_twist_discs": [], "char_is_real": true, "field_disc": 1, "level_is_prime_power": false, "relative_dim": 1, "hecke_cutters": [[3, [-2, 1]], [5, [-2, 1]]], "space_label": "154.2.a", "level": 154, "is_self_dual": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_degree": 1, "char_conductor": 1, "char_orbit_index": 1, "hecke_ring_generator_nbound": 1, "hecke_orbit_code": 4503599660925082, "fricke_eigenval": -1, "trace_moments": [{"__RealLiteral__": 0, "data": "0.008", "prec": 17}, {"__RealLiteral__": 0, "data": "0.990", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.004", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.079", "prec": 17}], "id": null, "projective_field": null, "embedded_related_objects": null, "projective_image_type": null, "artin_image": null, "artin_field": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "artin_degree": null, "qexp": [[0], [1], [-1], [2], [1], [2], [-2], [-1], [-1], [1], [-2], [1], [2], [-4], [1], [4], [1], [0], [-1], [4], [2], [-2], [-1], [4], [-2], [-1], [4], [-4], [-1], [2], [-4], [-10], [-1], [2], [0], [-2], [1], [-6], [-4], [-8], [-2], [0], [2], [-4], [1], [2], [-4], [10], [2], [1], [1], [0], [-4], [-14], [4], [2], [1], [8], [-2], [10], [4], [-8], [10], [-1], [1], [-8], [-2], [8], [0], [8], [2], [-4], [-1], [4], [6], [-2], [4], [-1], [8], [16], [2], [-11], [0], [4], [-2], [0], [4], [4], [-1], [10], [-2], [4], [4], [-20], [-10], [8], [-2], [6], [-1], [1], [-1]]}