# Stored data for newform 154.2.e.c, downloaded from the LMFDB on 24 April 2024.
{"label": "154.2.e.c", "space_label": "154.2.e", "level": 154, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007474166202522, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1268366103939188837, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [1, 1, 1]], [13, [1, 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": "0.020", "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": "0.012", "prec": 17}, {"__RealLiteral__": 0, "data": "1.820", "prec": 17}, {"__RealLiteral__": 0, "data": "0.093", "prec": 17}, {"__RealLiteral__": 0, "data": "9.712", "prec": 17}, {"__RealLiteral__": 0, "data": "0.097", "prec": 17}, {"__RealLiteral__": 0, "data": "79.019", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [1, -1, 0, -1], "traces": [0, 2, 1, -1, -1, 0, -2, -1, -2, 2, 0, 1, -1, -2, -5, 0, -1, 6, -2, -2, 0, -4, 2, 6, 1, 5, -1, -10, -4, 18, 0, 4, 1, 1, 12, 0, -4, -2, 2, 1, 0, -12, 1, -8, 1, 0, -6, 6, 2, -13, 10, 6, 1, 0, -5, 0, 1, 4, 9, 3, 0, -11, 8, -10, 2, 0, -1, -11, 6, -12, 0, 0, -2, -2, 2, 5, 4, 4, 2, -5, 0, -1, -6, -12, 5, 0, -4, -9, -1, 18, 0, 1, -12, 4, -6, 0, 1, -26, -2, 4, 5, 15, -6, 16, 2, 0, 0, -12, 5, -2, 0, 4, 5, 18, 2, 0, -9, -2, 6, 24, 0, -1, 11, 6, 4, 0, -8, -14, 1, 4, 0, -18, -2, 10, -22, 0, -6, 9, -6, 16, 0, -12, 0, -1, 2, 0, -4, 11, 4, -6, -5, 19, 2, 24, -1, 0, 1, 4, 5, 0, 0, -30, -2, -17, 6, 0, -6, 6, 4, -24, 0, 4, 4, 21, -18, 20, -2, 3, -18, 15, 0, 4, 5, 22, -6, 0, -4, -6, -12, 5, 0, -6, -1, -14, -13, 0, 11, -6, 2, -14, -5, -11, 30, -9, -12, 0, -16, -12, 1, -4, 0, -20, 0, 0, 12, 0, 10, 16, -4, -2, 0, -6, 2, 52, 4, 20, 9, -18, -2, 16, 0, -5, -18, 6, 2, 0, 3, 10, -6, -18, 0, -26, 1, -16, 22, 0, 12, 2, -4, 6, 0, -24, 2, 12, -7, 0, -1, -3, 8, 10, 0, 18, 18, 9, -1, 0, 8, -36, -11, -12, 0, -29, -12, 4, 18, -5, 6, -29, 8, 16, 0, 36, -6, 10, 0, 0, -2, 6, 4, -19, 0, 13, -2, -60, 13, 0, 2, -5, 6, -6, -10, 4, 38, 15, -2, 0, 12, 40, -5, -32, 0, -24, -1, -17, 8, 0, 10, -12, 0, 9, 0, 24, -24, -24, -1, -5, 17, -2, 12, -30, 0, -35, 6, 4, 3, 0, -1, 28, -12, -9, 0, -4, 8, 20, 8, 0, -21, 0, -9, 4, -5, 10, -1, 18, -3, 0, -36, -30, 30, 3, 0, 15, 2, 2, 4, 0, 11, 10, 6, -12, 0, 0, -8, 31, 6, 0, -6, -18, 25, 46, 0, 7, 6, 36, -2, 0, -28, -8, 13, -12, 0, 72, 13, 36, -3, 0, -2, 22, -28, -2, -10, 33, 11, -4, 15, 0, -45, -4, -6, 4, 0, 9, -32, 12, -24, 0, -1, -8, -2, -24, 0, -56, -10, -12, 0, -30, 0, 55, 24, -1, 0, 3, 5, -68, -4, 0, -2, 12, 2, 1, 0, -4, -12, -12, -2, 0, 26, 12, -1, -36, 10, -6, -9, 19, -36, 0, -4, 22, -16, -30, 0, 42, -4, -44, -9, 0, -6, -12, 4, -44, 0, 4, -3, -4, 5, -20, -30, 0, -9, -15, 0, 2, -52, 6, 2, 0, 16, -20, 11, 34, 0, 84, 6, 54, -2, 0, -8, 0, 12, 40, 0, -3, -12, -66, 10, 0, 6, 12, 7, 6, 0, -8, -2, 10, 3, 0, 4, 12, 8, -42, 0, 42, -18, 16, 36, -25, 18, -24, 1, -13, 0, 12, -2, 12, -18, 0, 11, 15, -24, -11, 0, 25, 29, -2, -6, 0, -1, -56, 9, 22, 5, -18, 12, 25, -58, 0, -8, 18, 8, 8, 0, 12, 18, 18, 6, 0, 20, -4, 0, 36, 0, -32, -1, 12, 30, 60, 2, 7, 19, -14, 0, 6, 26, 0, 2, 0, -30, 18, 2, -16, 0, 3, -2, -36, -10, 0, 12, -14, 6, 0, -5, 4, 20, -44, 19, 0, -15, 40, -4, -36, 0, -6, -12, 10, 20, 0, -4, 42, -16, -20, 0, -30, -48, -90, -2, -25, 17, 2, 4, -24, 0, 40, 5, 10, 12, 0, 0, 13, 18, 0, 0, -9, 12, 10, 6, 0, -12, 12, 1, -3, -10, -20, 34, -18, 2, 0, 6, -8, -24, 0, 0, -14, 35, -6, 12, 0, 8, 54, -3, -26, 0, -22, -5, -56, 14, -25, 12, -6, -18, 13, 0, -18, 4, 21, 4, 0, 37, -32, 4, 0, 0, -11, -42, -2, 0, 0, 9, -36, 2, -12, -25, 78, 5, -4, 1, 0, 36, 60, -6, -26, 0, 10, -18, 48, -24, 0, 15, 9, -3, 42, 0, -80, 30, -26, -2, 45, 1, 28, -1, 26, 0, -24, -11, 25, 20, 0, 12, 11, 12, -50, 0, -4, 0, -72, -4, 0, -31, -12, 12, 60, 0, 4, 6, 12, -9, 0, 20, -92, 23, -6, 0, 18, 14, -8, 12, 0, -36, -3, -1, -44, 0, 6, -14, -24, 8, -20, 26, -2, -24, 12, 0, 0, 36, -90, 2, 0, 18, -14, 3, 9, 0, -9, -4, 11, -22, 0, -14, -36, -10, 72, -5, -36, -33, 2, 22, 0, -8, -12, -15, 48, 0, 40, -36, 58, -2, 0, 6, 8, 8, 10, 0, 15, -9, 10, -16, 10, -3, 60, -12, 52, 0, -29, -2, -66, -16, 0, 2, -20, -12, 12, 0, 104, -28, -18, 10, 0, -24, 5, 0, 10, 30, 12, 0, -92, 44, 0, 12, -36, 1, 37, 0, 24, 6, -30, -5, 0, -34, 38, -20, -10, 0, 11, 2, -26, 24, 0, 4, -17, -1, 30, 0, 66, 22, 58, -6, 0, 12, -3, -4, 7, 0, 1, -26, 12, 6, 0, -5, 12, -18, 36, -10, 0, -12, 16, -18, 0, -19, 28, -18, 60, 0, -12, -2, -6, -22, 0, -32, 90, -60, -32, 0, -20, 21, 0, 1, -20, -22, -32, 9, -39, 0, 4, -12, -24, 12, 0, 2, 16, 11, 34, 0, -15, -4, -36, -6, 0, -8, -24, -5, 2, -10, 24, -24, -72, 0, 0, 9, 9, -30, 36, 0, 15, -2, 24, -26, 0, 30, -80, 1, 12, 0, -15, 32, -8, -40, -5, -11, 18, 17, 36, 0, -8, 42, 6, -6, 0, 108, 6, -4, -24, 0, 40, -4, 70, 0, 0, 6, 34, -40, 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.c", "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, 3], [-1, 0], [0, 2], [0, 0], [1, -1], [0, -1], [-1, 0], [-3, 1], [0, 0], [0, -1], [6, -6], [-2, 2], [0, -2], [0, 0], [-1, -2], [1, 0], [0, 6], [1, -1], [5, -5], [0, -1], [-5, 0], [-1, -2], [9, 0], [0, 0], [4, -4], [1, -1], [0, 1], [6, 0], [0, 0], [-2, 0], [0, -2], [2, -2], [1, -1], [0, 0], [-6, 0], [2, -3], [-4, 0], [0, 1], [0, 0], [-6, 6], [0, 6], [1, 0], [-5, -3], [5, 0], [0, 6], [1, -1], [0, 0], [0, -5], [0, 0], [2, -3], [2, 0], [0, 9], [3, -3], [0, 0], [0, -11], [4, 0], [-6, 2], [1, 0], [0, 0], [-1, 1], [-11, 11], [0, 6], [-6, 0], [0, 0], [0, 0], [0, -2], [-2, 2], [2, -2], [0, 5], [2, 0], [1, 2], [1, 0], [0, -5], [0, 0], [-1, 1], [0, -6], [-6, 0], [3, -1], [0, 0], [0, -4], [-9, 9], [-1, 1], [0, 18], [0, 0], [2, -3], [-6, 0], [0, 4], [-6, 6], [0, 0], [0, 1], [-13, 0], [3, -8], [2, 0], [0, 5]]}