# Stored data for newform 320.2.s.a, downloaded from the LMFDB on 18 April 2024. {"label": "320.2.s.a", "space_label": "320.2.s", "level": 320, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1236984136000, "dim": 2, "is_polredabs": true, "nf_label": "2.0.4.1", "trace_hash": 2093270313015771309, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-2, 1]]], "qexp_display": "q+2q^{3}+(-2+i)q^{5}+(3+3i)q^{7}+\\cdots", "char_order": 4, "char_parity": 1, "char_degree": 2, "char_conductor": 80, "char_orbit_label": "s", "char_is_real": false, "Nk2": 1280, "analytic_conductor": 2.555212864680972, "hecke_ring_index": 1, "level_radical": 10, "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": "0.256", "prec": 17}, "analytic_rank_proved": true, "char_values": [320, 4, [191, 261, 257], [2, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [2, 5], "conrey_indexes": [207, 303], "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": "1.930", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.653", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "100.185", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c4", "trace_display": [0, 4, -4, 6], "traces": [0, 2, 0, 4, 0, -4, 0, 6, 0, 2, 0, 2, 0, 0, 0, -8, 0, 2, 0, 6, 0, 12, 0, 2, 0, 6, 0, -8, 0, -14, 0, 0, 0, 4, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 14, 0, 0, 0, 4, 0, -16, 0, -2, 0, 12, 0, -6, 0, -2, 0, 6, 0, -4, 0, 0, 0, 4, 0, 0, 0, 6, 0, 12, 0, 12, 0, -16, 0, -22, 0, 4, 0, -6, 0, -28, 0, -12, 0, -12, 0, 0, 0, -6, 0, -22, 0, 2, 0, -10, 0, 10, 0, -36, 0, 12, 0, 10, 0, 0, 0, 26, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 14, 0, 0, 0, 14, 0, 36, 0, 16, 0, -18, 0, 18, 0, 28, 0, 4, 0, 42, 0, 0, 0, 2, 0, -16, 0, 2, 0, -4, 0, 40, 0, -32, 0, 12, 0, -28, 0, -4, 0, 6, 0, 18, 0, 6, 0, 0, 0, 42, 0, -12, 0, -10, 0, 6, 0, -4, 0, 12, 0, 4, 0, -24, 0, 0, 0, -30, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 2, 0, 0, 0, 38, 0, 0, 0, -8, 0, -12, 0, 12, 0, -4, 0, 18, 0, 6, 0, 0, 0, 2, 0, 24, 0, -18, 0, -14, 0, -32, 0, 0, 0, -28, 0, -20, 0, -22, 0, 12, 0, 8, 0, -22, 0, 0, 0, -12, 0, 26, 0, 36, 0, -14, 0, -14, 0, 32, 0, -24, 0, 2, 0, 0, 0, -24, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, -24, 0, 0, 0, -44, 0, -24, 0, 18, 0, -8, 0, 4, 0, -24, 0, -20, 0, 2, 0, 0, 0, 20, 0, -32, 0, -26, 0, -18, 0, 16, 0, -28, 0, 24, 0, 12, 0, 16, 0, 20, 0, 84, 0, 42, 0, 0, 0, 8, 0, -22, 0, 52, 0, 4, 0, -24, 0, -4, 0, -4, 0, -6, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, -42, 0, 0, 0, -48, 0, -8, 0, -8, 0, 28, 0, -30, 0, 28, 0, 10, 0, -24, 0, 0, 0, -46, 0, 4, 0, 28, 0, 32, 0, -64, 0, 72, 0, -4, 0, -8, 0, 44, 0, -12, 0, -76, 0, -36, 0, 0, 0, -8, 0, 36, 0, -34, 0, -10, 0, 14, 0, 14, 0, -12, 0, 8, 0, 0, 0, 10, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 4, 0, 0, 0, 8, 0, -32, 0, 12, 0, 14, 0, -8, 0, -42, 0, -38, 0, -8, 0, 0, 0, 24, 0, 80, 0, 8, 0, -6, 0, -16, 0, 64, 0, 24, 0, 24, 0, 66, 0, 30, 0, -56, 0, 18, 0, 0, 0, -2, 0, 0, 0, -58, 0, 12, 0, 58, 0, 30, 0, 36, 0, 34, 0, 0, 0, -24, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, -4, 0, 0, 0, -6, 0, -16, 0, -24, 0, -20, 0, 22, 0, 30, 0, 12, 0, -30, 0, 0, 0, -2, 0, -84, 0, -48, 0, 24, 0, 56, 0, -16, 0, 8, 0, 36, 0, -26, 0, -66, 0, -12, 0, 50, 0, 0, 0, -2, 0, 18, 0, -60, 0, 12, 0, -16, 0, -4, 0, -4, 0, 12, 0, 0, 0, 34, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 46, 0, 0, 0, 28, 0, 16, 0, -16, 0, -50, 0, -14, 0, -8, 0, -36, 0, -14, 0, 0, 0, 12, 0, -48, 0, 76, 0, -14, 0, -44, 0, 0, 0, -60, 0, 52, 0, -16, 0, 30, 0, -12, 0, -24, 0, 0, 0, -42, 0, 6, 0, 22, 0, -50, 0, -8, 0, -72, 0, -28, 0, 36, 0, 0, 0, 2, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 4, 0, 0, 0, -42, 0, 12, 0, -54, 0, -8, 0, -36, 0, -26, 0, -36, 0, -28, 0, 0, 0, 2, 0, -16, 0, 4, 0, -12, 0, 0, 0, 64, 0, 60, 0, -56, 0, -98, 0, 14, 0, 26, 0, -8, 0, 0, 0, -44, 0, -8, 0, -42, 0, 24, 0, -62, 0, -2, 0, 4, 0, 36, 0, 0, 0, -44, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 12, 0, 0, 0, 52, 0, 96, 0, 16, 0, 72, 0, 24, 0, 0, 0, 56, 0, -80, 0, 0, 0, -28, 0, 156, 0, -4, 0, 64, 0, 0, 0, 28, 0, -12, 0, 12, 0, -24, 0, 4, 0, -52, 0, 18, 0, 0, 0, 56, 0, 24, 0, -12, 0, 30, 0, 42, 0, -4, 0, 108, 0, -54, 0, 0, 0, -22, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, -54, 0, 0, 0, -12, 0, 32, 0, -6, 0, 54, 0, -38, 0, -48, 0, 10, 0, -12, 0, 0, 0, -16, 0, 16, 0, -22, 0, -78, 0, 8, 0, -48, 0, 92, 0, -12, 0, 36, 0, 46, 0, 84, 0, -22, 0, 0, 0, 10, 0, 8, 0, 28, 0, -16, 0, -48, 0, -18, 0, -100, 0, -10, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 10, 0, 0, 0, 66, 0, -64, 0, -8, 0, 6, 0, -52, 0, -2, 0, 8, 0, 72, 0, 0, 0, -12, 0, 32, 0, 62, 0, -36, 0, -56, 0, -108, 0, 54, 0, 12, 0, 30, 0, -66, 0, 24, 0, -62, 0, 0, 0, 32, 0, 34, 0, -12, 0, 10, 0, 10, 0, -12, 0, 168, 0, 8, 0, 0, 0, 84, 0, 20, 0, 0, 0, 0, 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": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 80, 19, 1, 4, 0]], "char_orbit_index": 19, "prim_orbit_index": 19, "minimal_twist": "80.2.j.a", "char_is_minimal": false, "conrey_index": 207, "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, 0], [2, 0], [0, 0], [-2, 1], [0, 0], [3, 3], [0, 0], [1, 0], [0, 0], [1, -1], [0, 0], [0, 2], [0, 0], [-4, 2], [0, 0], [1, 1], [0, 0], [3, -3], [0, 0], [6, 6], [0, 0], [1, -1], [0, 0], [3, -4], [0, 0], [-4, 0], [0, 0], [-7, -7], [0, 0], [0, 2], [0, 0], [2, -2], [0, 0], [-9, -3], [0, 0], [0, -6], [0, 0], [0, 4], [0, 0], [0, 4], [0, 0], [0, 4], [0, 0], [-2, 1], [0, 0], [7, -7], [0, 0], [0, 11], [0, 0], [2, 2], [0, 0], [-8, 0], [0, 0], [-1, 3], [0, 0], [6, -6], [0, 0], [-3, -3], [0, 0], [-1, 1], [0, 0], [3, 3], [0, 0], [-2, -4], [0, 0], [0, -4], [0, 0], [2, -2], [0, 0], [0, 0], [0, 0], [3, 3], [0, 0], [6, -8], [0, 0], [6, 0], [0, 0], [-8, 0], [0, 0], [-11, 0], [0, 0], [2, 0], [0, 0], [-3, -1], [0, 0], [-14, -14], [0, 0], [-6, 0], [0, 0], [-6, 6], [0, 0], [0, 4], [0, 0], [-3, 9], [0, 0], [-11, -11], [0, 0], [1, -1], [0, 0]]}