# Stored data for newform 16.2.e.a, downloaded from the LMFDB on 25 April 2024.
{"label": "16.2.e.a", "space_label": "16.2.e", "level": 16, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 274911461392, "dim": 2, "is_polredabs": true, "nf_label": "2.0.4.1", "trace_hash": 2023392088972236524, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "qexp_display": "q+(-1-i)q^{2}+(-1+i)q^{3}+2iq^{4}+\\cdots", "char_order": 4, "char_parity": 1, "char_degree": 2, "char_conductor": 16, "char_orbit_label": "e", "char_is_real": false, "Nk2": 64, "analytic_conductor": 0.12776064323404862, "hecke_ring_index": 1, "level_radical": 2, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 4, "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": "0.258", "prec": 17}, "analytic_rank_proved": true, "char_values": [16, 4, [15, 5], [4, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2], "conrey_indexes": [5, 13], "field_disc": -4, "field_disc_factorization": [[-1, 1], [2, 2]], "field_poly": [1, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.950", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.562", "prec": 20}, {"__RealLiteral__": 0, "data": "0.017", "prec": 17}, {"__RealLiteral__": 0, "data": "96.044", "prec": 20}], "related_objects": ["Genus2Curve/Q/256/a"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c4", "trace_display": [-2, -2, -2, 0], "traces": [0, 2, -2, -2, 0, -2, 4, 0, 4, 0, 0, 2, -4, -2, -4, 4, -8, -4, 2, 6, 4, 4, 0, 0, 0, 0, 4, -8, 8, 6, -4, -16, 8, -4, 4, -4, -4, 6, -12, 0, -8, 0, 0, 10, -4, 2, 12, 16, 8, 6, -6, 4, -4, -10, 0, 0, -8, 0, -12, -6, 0, -18, 16, 4, 0, 4, 4, -10, 0, -12, 8, 0, 4, 0, 0, 6, 12, 4, -4, 0, 8, 10, 0, -2, -8, 4, 0, 0, 8, 0, -4, 4, -24, 16, -16, -12, -16, -4, -6, -2, 12, 22, -8, 0, 0, 0, 0, -14, 16, 6, -4, -12, 0, -12, 12, 12, 12, -2, 0, 0, 8, 0, 36, 0, 0, -16, -4, 16, -16, -20, -4, 22, 0, -12, 20, 0, -8, 0, 0, -6, -8, -16, -20, -4, 0, -12, -8, -6, -12, 14, 0, 0, 0, 0, -8, 16, 8, 30, 0, 20, 0, 24, -10, -2, 0, 4, 4, 0, 16, 0, 0, 6, -20, -2, 12, -12, -8, 12, 8, -34, 4, -18, 0, 0, 24, 0, -32, -4, 0, -16, 12, -16, 16, 28, 4, -4, 0, -34, 4, 0, -12, 0, 0, -12, 8, 0, 12, -12, 8, 12, -8, -18, 20, 20, 0, 0, -32, 0, -12, 8, 8, 4, 12, 48, 16, 6, 12, 30, -24, 14, -24, 0, 0, 0, 0, -16, 12, 0, 8, 0, -16, -36, -18, 14, -36, -6, 0, 0, -32, 0, 32, 42, 0, -12, -16, -8, 32, -44, 20, 12, 0, 6, -44, 0, -8, 0, 0, -8, -20, 6, 16, -16, 16, -8, 16, 6, 24, 6, 0, 0, 0, 0, 32, -30, 40, 12, 4, 0, -8, -26, 12, 4, 16, 30, 12, 0, 24, 0, 0, -12, -12, 20, -20, -44, -24, 36, -4, -10, 8, -12, 0, 0, -8, 0, -60, -4, 0, -10, -20, 12, -16, 28, -24, -12, 0, 6, 4, 0, 0, 0, 0, 2, -4, -6, -4, 20, -16, 36, 22, 12, -8, -16, 0, 0, 40, 0, 4, 26, -24, 6, 12, 16, 0, -12, -12, -20, -16, -8, 68, 0, 0, 0, 0, 18, -8, -8, -36, 16, 0, 0, -12, -20, 32, -10, 0, 0, 32, 0, 32, -6, 0, -16, 16, -32, 0, -8, -28, -10, 0, -26, 8, 0, 12, 0, 0, 0, -4, -10, 28, 24, 0, -36, -20, 16, -44, -10, 0, 0, 0, 0, 0, -16, -24, -12, 12, 4, -16, 12, -12, 6, 16, -18, 36, 0, -40, 0, 0, 36, 28, 4, -20, 64, 32, 28, 32, 12, 12, 36, 0, 0, -8, 0, -8, -30, 0, 8, -48, -28, -32, 60, -6, 0, 0, 20, -60, 0, 24, 0, 0, 16, 24, 22, 8, -32, -24, -32, -8, -10, 4, 20, 0, 0, -24, 0, 0, -18, -16, 10, 0, -80, 16, -12, 36, -24, 36, 4, -28, 0, 0, 0, 0, -38, 0, -12, 12, 4, 64, -40, -4, 46, -32, 4, 0, 0, 8, 0, 24, -22, 0, 46, 8, -16, -32, -48, 44, 12, 0, 16, -24, 0, 8, 0, 0, 50, 44, 12, 12, 32, 16, -26, 20, 6, 24, 0, 0, 0, 0, 0, -12, 6, -32, -18, 16, 36, -16, -12, 8, -10, -32, -18, -12, 0, -48, 0, 0, 12, 12, -50, -16, -20, 16, 8, -40, 38, -32, 12, 0, 0, -40, 0, -24, 2, 0, 16, 0, 36, 16, 36, 26, -28, 0, 4, -8, 0, -16, 0, 0, -14, -12, -48, 12, 68, -24, 68, -16, 8, -28, -28, 0, 0, 24, 0, -40, -10, 40, -18, 44, -64, 48, 24, -36, -16, 8, -50, 20, 0, 0, 0, 0, 34, -32, 48, 60, 16, 0, 2, 32, -12, 60, -12, 0, 0, 0, 0, 20, -16, 0, -6, -12, 20, 32, -36, -28, -42, 0, 20, 24, 0, 20, 0, 0, -32, -4, 38, 12, -44, 0, 8, -32, -34, -8, -18, 0, 0, 0, 0, 12, 36, 8, -48, -20, -36, 0, 28, -36, -24, -44, 6, -24, 0, 16, 0, 0, 10, -12, 16, -40, -28, -40, 20, 24, -18, -4, 4, 0, 0, 24, 0, -12, 8, 0, 62, -16, 36, 16, 32, 12, 44, 0, 54, 40, 0, 16, 0, 0, 4, -68, 0, -52, 0, -8, 24, 2, 36, 36, -18, 0, 0, 16, 0, 16, -20, 72, -42, -16, 12, -48, -20, 0, 46, 24, -12, 40, 0, 0, 0, 0, -2, 8, -28, -32, 64, -64, -84, 12, -20, -32, 46, 0, 0, -24, 0, 32, -12, 0, -4, 32, 12, -32, -100, 8, 44, 0, -10, 20, 0, -8, 0, 0, 0, -8, 20, -24, -48, -24, -60, 44, 30, 68, -12, 0, 0, 0, 0, 20, -20, -56, -50, -24, -32, 24, -8, 36, 8, 40, -24, -32, 0, 88, 0, 0, -78, 24, 16, 12, 4, -16, 60, -32, -4, 0, 22, 0, 0, 24, 0, 24, 66, 0, 46, -4, -12, 16, -12, -12, -4, 0, 64, -12, 0, -16, 0, 0, 40, -36, 22, 16, -36, 40, 60, 12, -36, -40, -10, 0, 0, -56, 0, -8, -6, 40, 0, -64, 48, 0, 4, -28, 26, -64, 0, -24, 0, 0, 0, 0, 32, -16, -10, 28, -60, 0, 4, 6, -42, 8, -12, 0, 0, -24, 0, -16, 10, 0, 48, 28, 68, 32, 24, -60, -48, 0, 20, 0, 0, -24, 0, 0, -54, 60, -22, -8, -16, 0, -4, -64, -36, -28, -44, 0, 0, 0, 0, -44, 20, -16, 18, 32, -12, 48, 60, 32, 18, 16, -60, 20, 0, -8, 0, 0, -32, 32, -58, 60, 0, 24, 32, 20, -10, 0, 8, 0, 0, 16, 0, -20, 16, 0, -12, 80, 32, 0, 66, 12, 14, 0, -28, 48, 0, -36, 0, 0, -38, 28, -12, -4, -12, 72, -4, -4, -8, 12, 6, 0, 0, 0, 0, 24, 32, -24, -60, -4, 64, -64, -4, 40, 28, 8, -74, -92, 0, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": true, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 16, 5, 1, 4, 0]], "char_orbit_index": 5, "prim_orbit_index": 5, "minimal_twist": "16.2.e.a", "char_is_minimal": true, "conrey_index": 5, "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], [-1, -1], [-1, 1], [0, 2], [-1, -1], [2, 0], [0, -2], [2, -2], [0, 1], [0, 2], [1, 1], [-2, -2], [-1, 1], [-2, 2], [2, 0], [-4, 0], [-2, 0], [1, -1], [3, -3], [2, -2], [2, 2], [0, -2], [0, 6], [0, 4], [0, -3], [2, 0], [-4, -4], [4, 0], [3, -3], [-2, -2], [-8, 0], [4, 4], [-2, 0], [2, 2], [-2, 2], [-2, 0], [3, 3], [-6, 0], [0, -2], [-4, 0], [0, 0], [0, -4], [5, 5], [-2, 2], [1, -1], [6, -6], [8, 0], [4, -4], [3, 0], [-3, 3], [2, -2], [-2, -2], [-5, -5], [0, 8], [0, -2], [-4, -4], [0, 6], [-6, 0], [-3, -3], [0, 4], [-9, 9], [8, 8], [2, 0], [0, -8], [2, 0], [2, 2], [-5, 5], [0, -4], [-6, -6], [4, 0], [0, -10], [2, 2], [0, -4], [0, -6], [3, 3], [6, 6], [2, -2], [-2, 2], [0, 0], [4, 4], [5, 0], [0, 0], [-1, 1], [-4, 4], [2, 2], [0, -10], [0, 6], [4, 0], [0, 4], [-2, 0], [2, 2], [-12, 0], [8, -8], [-8, -8], [-6, 0], [-8, 0], [-2, 0], [-3, -3], [-1, 1], [6, 0]]}