# Stored data for newform 154.2.e.b, downloaded from the LMFDB on 24 April 2024. {"label": "154.2.e.b", "space_label": "154.2.e", "level": 154, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503874538832026, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 717543363615474650, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [1, 1, 1]], [13, [-5, 1]]], "qexp_display": "q-\\zeta_{6}q^{2}+(-1+\\zeta_{6})q^{3}+(-1+\\zeta_{6})q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "e", "char_is_real": false, "Nk2": 616, "analytic_conductor": 1.229696191127718, "hecke_ring_index": 1, "level_radical": 154, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 6, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [154, 3, [45, 57], [1, 3]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2, 7, 11], "conrey_indexes": [23, 67], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.022", "prec": 17}, {"__RealLiteral__": 0, "data": "1.966", "prec": 17}, {"__RealLiteral__": 0, "data": "0.524", "prec": 17}, {"__RealLiteral__": 0, "data": "12.181", "prec": 20}, {"__RealLiteral__": 0, "data": "7.400", "prec": 17}, {"__RealLiteral__": 0, "data": "115.725", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [-1, -1, 0, 5], "traces": [0, 2, -1, -1, -1, 0, 2, 5, 2, 2, 0, 1, -1, 10, -1, 0, -1, -6, 2, -2, 0, -4, -2, -6, -1, 5, -5, -10, -4, 6, 0, -8, -1, 1, 12, 0, -4, -2, -2, -5, 0, -12, 5, -8, 1, 0, -6, -6, 2, 11, -10, -6, -5, 12, 5, 0, 5, 4, -3, 3, 0, 7, 16, 2, 2, 0, 1, 13, -6, 12, 0, -24, 2, 10, -2, 5, 4, 4, 10, 1, 0, -1, 6, 12, -1, 0, 4, -3, 1, -6, 0, 25, 12, -8, -6, 0, -1, -26, 2, 4, 5, -3, -6, 4, 10, 0, -24, 0, 5, -14, 0, 4, -1, 18, -2, 0, -3, 10, -6, -24, 0, -1, 7, 6, -8, 0, 8, -26, -1, 4, 0, -6, -2, -2, -26, 0, -6, -15, -6, -8, 0, 12, 12, 5, 2, 0, -20, -13, 4, 6, 5, 1, -2, -24, -5, 0, -5, 4, 1, 12, 0, -6, 2, -17, 6, 0, -6, 18, -4, 24, 0, 4, 4, 15, 6, 20, -2, 3, -6, -9, 0, -20, -5, -14, -6, 0, -8, 6, 12, -25, 0, 18, -1, 22, 13, 0, -13, -18, -2, -14, 5, 13, 6, 15, 12, 0, 4, 12, -5, -4, 0, 52, 12, 12, 0, 0, -10, -32, 28, 10, 0, -30, -2, -20, -4, 20, -9, 6, -2, -20, 0, 1, 6, 30, 10, 0, 3, -2, 30, 42, 0, 10, -1, -16, -14, 0, -12, -10, -8, -6, 0, 24, -10, -12, 13, 0, -1, -27, -8, -2, 0, 6, -6, 3, 1, 0, -8, 12, 13, 24, 0, 25, 12, -20, 30, -5, -6, 1, 4, -32, 0, -12, -6, 22, 12, 0, -10, -30, -4, -19, 0, 13, 10, -36, 11, 0, -2, -5, 6, -30, -10, -20, -2, -3, -2, 0, 12, 64, 1, -8, 0, -24, -5, 7, -8, 0, -2, 24, 12, 3, 0, 0, -24, 24, -1, 25, -17, -14, -12, -6, 0, 13, -6, 4, -9, 0, 5, -44, -12, -9, 0, 8, -8, 20, -8, 0, 15, -12, -3, -68, -25, -50, 1, -30, 3, 0, 12, -6, 18, 9, 0, 15, 10, 2, -20, 0, 7, -38, -6, -12, 0, 48, 16, -11, 6, 0, -6, 30, 5, -50, 0, 13, 18, -12, 2, 0, -44, -8, 13, -12, 0, 72, 11, 12, 9, 0, -2, -2, 28, 10, -10, 9, 13, -40, -3, 0, -3, -4, -6, 4, 0, -15, -8, 12, -24, 0, -5, 4, 2, 24, 0, -32, -26, 12, 12, 30, -24, 7, 0, 5, 0, -15, 5, 28, 40, 0, -14, -12, 10, 19, 0, -4, 60, -12, -2, 0, 10, -12, 5, 60, -10, -6, -9, 1, -12, 0, 4, 22, -20, 30, 0, 78, 4, 52, -3, 0, 30, 12, -20, 52, 0, 4, 3, -4, 1, -20, -6, 48, -21, 3, 0, -10, -20, 30, 2, 0, -16, 4, 7, 34, 0, -60, 6, -18, -10, 0, 16, -60, 12, -8, 0, -9, -12, 42, 2, 0, 6, -12, 13, -6, 0, 40, 2, 10, -27, 0, 4, -12, -8, -30, 0, 18, 6, 16, 12, 5, -6, -48, 1, -13, 0, 12, 10, -60, -6, 0, 13, -9, -48, 13, 0, -5, 25, 10, -6, 0, 25, -56, -15, -14, -5, -6, 12, 1, -2, 0, 4, 6, 16, -40, 0, -12, 6, -18, -6, 0, -44, -4, -24, 0, 0, -20, 5, -36, 6, -60, 2, 7, -19, 22, 0, 30, -26, -12, 10, 0, 18, 18, 2, 32, 0, 9, -2, -24, 10, 0, -12, -14, -30, 0, 5, -20, 4, 52, 1, 0, -3, -8, 4, -12, 0, -30, 12, -26, -32, 0, 4, 42, 4, -44, 0, 30, 48, -6, 10, -25, 7, 2, 4, 24, 0, -32, 1, -26, 24, 0, -24, 55, -6, -24, 0, -9, 0, -38, 30, 0, -12, -36, -1, -3, -50, -8, 34, 30, -14, 0, 6, 40, -24, -24, 0, 34, 13, -30, 12, 0, -8, -18, -9, 10, 0, 14, -1, -8, 22, -25, -12, -42, 18, -65, 0, 6, 8, 45, 4, 0, 17, 40, 4, 60, 0, -35, -30, 10, 24, 0, -3, 36, 34, -60, 5, -6, 25, -4, 1, 0, 60, -12, -6, 10, 0, -2, -6, 96, -24, 0, -9, -21, 9, 6, 0, 4, -30, 10, 10, 15, -1, 100, 25, 26, 0, 24, 7, 43, 76, 0, 12, -13, -12, -2, 0, 20, -60, -72, -8, 0, -11, 12, -12, 0, 0, 16, -6, -12, -15, 0, 20, -20, 25, 6, 0, -30, -26, -56, -36, 0, -12, 15, -1, 4, 0, 54, 22, 24, -8, 40, -26, 10, 24, 12, 0, -12, -36, -30, 2, 0, -6, -14, 9, 3, 0, 45, 4, 35, -2, 0, -14, 12, -2, 72, 5, 12, 9, -10, -26, 0, 80, 24, -3, -36, 0, -32, -12, -50, 2, 0, -6, 8, -8, 10, 0, -27, -15, -26, 4, 10, -15, 84, 12, 16, 0, 1, 10, -78, -8, 0, 2, 40, -12, 60, 0, -40, 16, 6, -26, 0, -24, -1, -24, 22, 30, -12, 12, -116, 28, 0, 0, -48, 5, -35, 0, 24, 30, -6, 5, 0, -14, 38, -8, 2, 0, 65, -14, -26, 24, 0, -20, 37, 19, 18, 0, -30, 26, -38, -30, 0, -12, -57, 4, -65, 0, 1, 10, -12, 6, 0, -1, 60, -30, -24, -10, 72, 12, 16, 18, 0, 1, -44, 6, -12, 0, 60, -2, 6, 22, 0, 40, -6, -60, 16, 0, -32, -39, -120, -5, -20, -26, -8, -3, -15, 0, 4, -60, -24, 12, 0, 10, -104, -65, -14, 0, 27, 4, 36, -6, 0, 8, 24, 1, 50, 10, -48, -24, 48, -24, 0, -21, 3, -6, -60, 0, -33, -10, 0, 10, 0, -6, 64, -1, -12, 0, 33, 32, -20, -8, 25, 7, 18, -17, -12, 0, -56, 30, 6, 6, 0, 36, 30, 20, 24, 0, 16, -8, -26, 12, 0, -6, 46, -8, 10, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], "char_orbit_index": 5, "prim_orbit_index": 3, "minimal_twist": "154.2.e.b", "char_is_minimal": true, "conrey_index": 23, "id": null, "fricke_eigenval": null, "atkin_lehner_string": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [0, -1], [-1, 1], [-1, 1], [0, 0], [1, 0], [2, 1], [1, 0], [0, 2], [0, 0], [1, -1], [0, -1], [5, 0], [1, -3], [0, 0], [0, -1], [-6, 6], [2, -2], [0, -2], [0, 0], [-3, 2], [-1, 0], [0, -6], [-1, 1], [5, -5], [0, -5], [-5, 0], [-3, 2], [3, 0], [0, 0], [-8, 8], [-1, 1], [0, 1], [6, 0], [0, 0], [-2, 0], [0, -2], [-2, 2], [-5, 5], [0, 0], [-6, 0], [2, 1], [-4, 0], [0, 1], [0, 0], [-6, 6], [0, -6], [1, 0], [3, 5], [-5, 0], [0, -6], [-5, 5], [12, -12], [0, 5], [0, 0], [2, 1], [2, 0], [0, -3], [3, -3], [0, 0], [0, 7], [8, 0], [-2, 6], [1, 0], [0, 0], [1, -1], [13, -13], [0, -6], [6, 0], [0, 0], [-12, 0], [0, 2], [10, -10], [-2, 2], [0, 5], [2, 0], [3, -2], [5, 0], [0, 1], [0, 0], [-1, 1], [0, 6], [6, 0], [1, -3], [0, 0], [0, 4], [-3, 3], [1, -1], [0, -6], [0, 0], [10, 5], [6, 0], [0, -8], [-6, 6], [0, 0], [0, -1], [-13, 0], [5, -8], [2, 0], [0, 5]]}