# Stored data for newform 154.2.e.a, downloaded from the LMFDB on 25 April 2024.
{"label": "154.2.e.a", "space_label": "154.2.e", "level": 154, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 274911461530, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1553732568350900477, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [9, 3, 1]], [13, [7, 1]]], "qexp_display": "q-\\zeta_{6}q^{2}+(-3+3\\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": "0.015", "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": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.990", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.780", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "108.783", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [-1, -3, -2, -5], "traces": [0, 2, -1, -3, -1, -2, 6, -5, 2, -6, -2, 1, -3, -14, 1, 12, -1, -2, -6, 0, 4, 12, -2, 8, -3, 1, 7, 18, 4, -10, -6, -4, -1, 3, 4, 2, 12, -4, 0, 21, -2, 8, -15, -16, 1, -12, 8, -2, 6, 11, -2, -6, 7, 6, -9, -4, -5, 0, 5, -3, -6, -1, 8, 6, 2, 14, 3, -9, -2, -48, 8, -4, -6, -4, -4, 3, 0, -4, -42, -9, -2, -9, -4, 12, 3, 8, 8, 15, 1, -6, 24, 35, -16, -12, -2, 0, -3, 14, 2, -12, 1, 9, -6, -18, -14, -30, -12, -2, -9, 2, 2, 24, 1, 10, 0, 16, 5, 42, 6, 8, 12, -1, -1, -12, -4, -24, 24, -38, -1, 24, 14, 0, -6, 0, 18, -18, -2, -3, 24, -8, -10, 12, 2, -7, -6, 10, 8, -39, 8, 10, 3, 3, 0, 24, 5, 16, 21, -16, -9, 18, 4, -8, 18, 17, -4, 6, -6, 38, 12, 72, -4, 0, 8, -25, -30, -4, -2, -9, -6, -19, -12, -44, -7, 6, 8, -8, -12, 2, 4, -45, 0, -2, -3, -8, -7, -84, -13, 30, 6, -4, 1, -27, -18, 25, 12, -8, -18, 48, 7, 0, 6, -40, 6, 6, -2, 16, 18, 16, -4, -12, 2, 14, -12, 8, 4, -12, -5, 2, 0, 28, -32, -3, -10, 0, 42, -4, -3, 54, -10, -10, -6, 0, -1, 0, 2, 4, 24, 0, -4, -18, 12, -48, -30, 16, 19, -12, -1, -3, -48, 4, -28, 30, 0, -27, 3, -24, 0, 36, -9, 24, -18, 11, 4, -84, 6, -1, 24, 9, 4, 48, 2, -56, -6, 0, 2, 0, 14, -20, 12, 13, 10, -21, -4, -36, 33, 12, -4, 9, 10, -56, -6, 40, -6, 27, 0, -2, -12, 4, -1, 108, -8, 10, 21, -1, 32, 48, 18, 12, 18, -5, -2, 12, -32, 0, -9, -7, 17, 6, 8, 2, -12, -13, -6, -24, -19, 36, -15, -24, -36, -15, -4, 4, 0, -20, -16, 48, -25, 22, 15, 4, 5, -126, 1, 18, -9, 4, 12, 6, 38, 19, -12, 19, 22, 6, -28, 16, -3, -4, 8, -24, 16, -24, 24, -11, 2, 36, -2, 70, 9, 2, 0, 57, -2, -26, 6, 10, 16, 48, -7, -18, 42, -32, 11, 0, -15, -18, 6, -6, 8, 0, -2, 9, -27, 28, 9, 36, -5, -8, -6, -22, -8, -9, 36, 12, -96, -12, 7, 12, 0, 32, 24, -40, 20, -12, 6, 2, -12, 1, 4, -21, 16, -25, -9, -68, -20, -60, 2, 0, -12, 5, -4, 12, -28, -36, -12, -12, -4, -60, -5, -12, 6, 4, -5, 9, -4, -14, 0, -14, 28, -18, 16, 54, -12, -4, 5, -24, 0, -12, -84, 36, 8, -48, -3, -8, -27, 0, 2, -72, 5, 1, -6, 28, 0, 120, 2, -14, 0, 40, -1, -102, -26, 60, -12, 10, 0, 12, 8, 10, 36, -20, 12, -57, 24, 6, 6, -36, -8, -108, 19, 22, 24, 16, 2, 0, -3, -36, 24, -4, 16, 150, 14, -10, 30, 10, 0, -3, 54, -8, 3, -41, 12, 36, 0, -56, -18, -4, -9, -57, -48, 13, 36, -5, 11, 66, -2, -8, 105, 60, -3, -6, -1, 0, -48, 9, -18, -24, 4, -26, -24, 112, 8, -12, 28, -20, -6, -10, 0, 36, -4, 12, 0, -22, -7, 12, 4, 16, -6, 43, 13, -24, -20, -30, 42, -6, -4, 84, 18, 54, 6, 0, -6, -45, -4, -6, -18, -20, -20, -12, -56, -36, 3, 52, -8, 108, 3, -2, 27, -8, 0, -60, 4, 14, -12, 38, -2, 48, -4, -30, -54, 28, -8, 72, -20, 6, -42, 19, -1, 0, -16, 16, -60, -36, -9, 60, 12, 38, -36, -77, 10, 12, -2, 27, -6, 62, 40, -96, 0, -30, -9, 3, 14, 12, -34, -40, 6, 0, -4, 48, 8, 56, 6, 22, -13, 42, 12, 0, 48, -40, -19, -12, -18, -2, 3, 68, 12, 9, -36, -14, 30, -35, 8, 6, 4, -21, 0, 12, -17, -168, 8, -42, 48, -33, 50, 30, -44, 8, 15, -8, -2, 0, -1, -54, 63, 0, 1, -12, -36, -36, 18, 48, 4, -54, -6, -64, 24, 28, -19, 15, 19, 38, 24, 18, -38, 0, 22, -5, -3, -44, 35, -54, -8, 16, -3, 19, 8, 66, -16, 9, -24, -42, -8, 0, 30, 24, -12, 20, -11, -36, -4, 2, -72, -28, -2, 72, -35, -12, 36, -44, -1, -24, 0, 6, -114, -8, 4, -24, -26, 21, -3, -28, -2, 18, -8, -24, 48, 4, 14, -60, 36, 0, 42, -2, 16, -90, 2, 64, 0, 40, -15, -81, 36, -25, -12, 7, -6, 36, -4, 100, 0, 8, 1, -36, 9, 4, 54, -64, -56, 72, 9, -12, -18, 16, -20, -66, 4, 34, -6, 0, 44, -42, 16, 45, -9, -26, -18, 6, -15, -8, 48, 2, -12, 27, -14, -26, -24, -38, 0, -36, -16, -36, -30, -8, 20, 84, 20, -72, 24, 1, -12, 0, 2, 32, 6, -20, 4, 0, -2, -44, -21, -13, -32, 48, 50, -4, -9, -50, 34, -78, 4, -18, 30, 63, 2, -42, 0, 60, 24, 29, 5, 54, 2, 42, -78, -58, 14, -18, -36, 41, 24, 95, 24, 9, -4, 0, 30, 76, 1, 336, 6, 20, 6, 12, -8, -96, 10, 44, 9, 28, 2, -108, -56, 60, 0, 6, -14, -6, -56, 0, 36, -36, 16, -6, -27, 28, 15, -8, 2, -108, 5, -15, 48, 0, 0, 30, -12, 4, 42, -60, -45, 6, -4, 11, -48, 32, 6, 18, 16, 4, -27, 28, 0, -72, 8, 28, 36, -4, 5, -15, -2, 12, 12, 15, 28, -12, 0, 32, -24, 16, -1, 0, -14, -41, 0, 20, -80, -21, -1, 46, 51, -12, 22, -24, -30, 18, -12, -30, -20, -30, 0, -64, 12, -10, -4, 78, -2, 16, -18, 6, -20, -36, -24], "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.a", "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], [-3, 3], [-1, 1], [0, -2], [3, 0], [-2, -1], [1, 0], [0, -6], [-2, 2], [1, -1], [0, -3], [-7, 0], [-1, 3], [6, 0], [0, -1], [-2, 2], [-6, 6], [0, 0], [2, 0], [9, -6], [-1, 0], [0, 8], [-3, 3], [1, -1], [0, 7], [9, 0], [3, -2], [-5, 0], [0, -6], [-4, 4], [-1, 1], [0, 3], [2, 0], [-2, 6], [6, 0], [0, -4], [0, 0], [21, -21], [0, -2], [4, 0], [-6, -3], [-8, 0], [0, 1], [-12, 12], [8, -8], [0, -2], [3, 0], [3, 5], [-1, 0], [0, -6], [7, -7], [6, -6], [0, -9], [-2, 0], [-2, -1], [0, 0], [0, 5], [-3, 3], [-6, 6], [0, -1], [4, 0], [-6, 18], [1, 0], [0, 14], [3, -3], [-9, 9], [0, -2], [-24, 0], [6, -4], [-2, 0], [0, -6], [-4, 4], [-4, 4], [0, 3], [0, 0], [-3, 2], [-21, 0], [0, -9], [-2, 2], [-9, 9], [0, -4], [6, 0], [-3, 9], [4, 0], [0, 8], [15, -15], [1, -1], [0, -6], [12, 0], [14, 7], [-8, 0], [0, -12], [-2, 2], [0, 0], [0, -3], [7, 0], [5, -8], [-6, 0], [0, 1]]}