# Stored data for newform 930.2.a.i, downloaded from the LMFDB on 24 April 2024. {"label": "930.2.a.i", "space_label": "930.2.a", "level": 930, "weight": 2, "hecke_orbit": 9, "hecke_orbit_code": 36028797052519330, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 297312487206920829, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [1, 1]], [11, [3, 1]], [19, [-5, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 3720, "fricke_eigenval": -1, "atkin_lehner_string": "+---", "analytic_conductor": 7.426087387979075, "hecke_ring_index": 1, "level_radical": 930, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.022", "prec": 17}, "analytic_rank_proved": true, "char_values": [930, 1, [311, 187, 871], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 31], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.028", "prec": 17}, {"__RealLiteral__": 0, "data": "1.036", "prec": 17}, {"__RealLiteral__": 0, "data": "0.072", "prec": 17}, {"__RealLiteral__": 0, "data": "2.085", "prec": 17}, {"__RealLiteral__": 0, "data": "0.246", "prec": 17}, {"__RealLiteral__": 0, "data": "5.216", "prec": 17}], "related_objects": ["EllipticCurve/Q/930/i"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, -1], [31, -1]], "trace_display": [-1, 1, 1, -1], "traces": [0, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -3, 1, 2, 1, 1, 1, 0, -1, 5, 1, -1, 3, 9, -1, 1, -2, 1, -1, 0, -1, 1, -1, -3, 0, -1, 1, 8, -5, 2, -1, 0, 1, 11, -3, 1, -9, -6, 1, -6, -1, 0, 2, -9, -1, -3, 1, 5, 0, 6, 1, -10, -1, -1, 1, 2, 3, 14, 0, 9, 1, 9, -1, -1, -8, 1, 5, 3, -2, -1, 1, 1, 0, -12, -1, 0, -11, 0, 3, -9, -1, -2, 9, 1, 6, 5, -1, 14, 6, -3, 1, -15, 0, 8, -2, -1, 9, -3, 1, 8, 3, 8, -1, -3, -5, 9, 0, 2, -6, 0, -1, -2, 10, 0, 1, 1, 1, 8, -1, 11, -2, -6, -3, -5, -14, 1, 0, 18, -9, 14, -1, -6, -9, -6, 1, 0, 1, -6, 8, 3, -1, -16, -5, 0, -3, 1, 2, -7, 1, -9, -1, -9, -1, -22, 0, -3, 12, 9, 1, -9, 0, 5, 11, 6, 0, -1, -3, 6, 9, -12, 1, 5, 2, -10, -9, 8, -1, 0, -6, -1, -5, 0, 1, -10, -14, 2, -6, -6, 3, -25, -1, 14, 15, 0, 0, 0, -8, 9, 2, -15, 1, -19, -9, 9, 3, 11, -1, -1, -8, -1, -3, 0, -8, -10, 1, 1, 3, -15, 5, 5, -9, 3, 0, 3, -2, -6, 6, -1, 0, 12, 1, -22, 2, 1, -10, -6, 0, 10, -1, -12, -1, 12, -1, -27, -8, 0, 1, -27, -11, -8, 2, 0, 6, 0, 3, -9, 5, -9, 14, 6, -1, 5, 0, -2, -18, -3, 9, 8, -14, 1, 1, -24, 6, -4, 9, 5, 6, 0, -1, -17, 0, 14, -1, 18, 6, 6, -8, -3, -3, 18, 1, -11, 16, -15, 5, -10, 0, 32, 3, 8, -1, 0, -2, -22, 7, -1, -1, 24, 9, 0, 1, -3, 9, 0, 1, 2, 22, 8, 0, 6, 3, 8, -12, 8, -9, 14, -1, -22, 9, -3, 0, -3, -5, 13, -11, 9, -6, -36, 0, -4, 1, 2, 3, 6, -6, 9, -9, 0, 12, 9, -1, 6, -5, -2, -2, -1, 10, 26, 9, 0, -8, 9, 1, -19, 0, 1, 6, 0, 1, -1, 5, 8, 0, 36, -1, 3, 10, 11, 14, -30, -2, 0, 6, -6, 6, -1, -3, -7, 25, -5, 1, 15, -14, 2, -15, 1, 0, -24, 0, -28, 0, 18, 8, -6, -9, -12, -2, 14, 15, -24, -1, -10, 19, -6, 9, 0, -9, 10, -3, -6, -11, 0, 1, 5, 1, 0, 8, 45, 1, 14, 3, -6, 0, 27, 8, -9, 10, 3, -1, 6, -1, 0, -3, -16, 15, -2, -5, 38, -5, 0, 9, 0, -3, 32, 0, 1, -3, 0, 2, -14, 6, -7, -6, -33, 1, 5, 0, -9, -12, 21, -1, 16, 22, -9, -2, 14, -1, -40, 10, -22, 6, 21, 0, 0, -10, -3, 1, -9, 12, 32, 1, 9, -12, -24, 1, -15, 27, -9, 8, 36, 0, 1, -1, 5, 27, 8, 11, 18, 8, 6, -2, 18, 0, -25, -6, -1, 0, 0, -3, 58, 9, 6, -5, 0, 9, -3, -14, -12, -6, 18, 1, -34, -5, 5, 0, 8, 2, -34, 18, -10, 3, 0, -9, 1, -8, 8, 14, 3, -1, 22, -1, 0, 24, -12, -6, -3, 4, -1, -9, 15, -5, 14, -6, 0, 0, 9, 1, -16, 17, -10, 0, 12, -14, 27, 1, 2, -18, -24, -6, 5, -6, -6, 8, 6, 3, 0, 3, -25, -18, 27, -1, -10, 11, 14, -16, -2, 15, -1, -5, 0, 10, -12, 0, -22, -32, 0, -3, -15, -8, 14, 1, 9, 0, 9, 2, 1, 22, -15, -7, 0, 1, -7, 1, -19, -24, 8, -9, -12, 0, 9, -1, 30, 3, -31, -9, 11, 0, -33, -1, -18, -2, -1, -22, 30, -8, -6, 0, -1, -6, -48, -3, -46, -8, 0, 12, -5, -8, 0, 9, -10, -14, 30, 1, -10, 22, 1, -9, -33, 3, -14, 0, -15, 3, -15, 5, 18, -13, 5, 11, -18, -9, 17, 6, 3, 36, 14, 0, 0, 4, 3, -1, -3, -2, 40, -3, -6, -6, 15, 6, 23, -9, -1, 9, 9, 0, -6, -12, 12, -9, 18, 1, -8, -6, -22, 5, 0, 2, 23, 2, 1, 1, 0, -10, 26, -26, -6, -9, -42, 0, 32, 8, 10, -9, -9, -1, 3, 19, -12, 0, 3, -1, 26, -6, 12, 0, -16, -1, 2, 1, -27, -5, -21, -8, -8, 0, 0, -36, 12, 1, -31, -3, -27, -10, -27, -11, 1, -14, -8, 30, 0, 2, -27, 0, 0, -6, -7, 6, -25, -6, 0, 1, 3, 3, -20, 7, -9, -25, 18, 5, 0, -1, -9, -15, 3, 14, -9, -2, 6, 15, 39, -1, -43, 0, 5, 24, -22, 0, 55, 28, -2, 0, 24, -18, -22, -8, -3, 6, -36, 9, 29, 12, 8, 2, 0, -14, 9, -15, 1, 24, 21, 1, -29, 10, -24, -19, -9, 6, 2, -9, -4, 0, 72, 9, -19, -10, 5, 3, -6, 6, 8, 11, 0, 0, 15, -1, 6, -5, -17, -1, 3, 0, 28, -8, 14, -45, -1, -1, -22, -14, 18, -3, -18, 6, -31, 0, 6, -27, -18, -8, -8, 9, -3, -10, -30, -3, -12, 1, 18, -6, 0, 1, 0, 0, -11, 3, 5, 16, 8, -15, -15, 2, 12, 5, 36, -38, -10, 5, 6, 0, 26, -9, 32, 0, 18, 3, 8, -32, 8, 0, -15, -1, -30, 3, 0, 0, 0, -2, 20, 14, -22, -6, -12, 7, 0, 6, -1, 33, 54, -1, -2, -5, 24, 0, -12, 9, 0, 12, 0, -21, -18, 1, 1, -16, -3, -22, -10, 9, -4, 2, 0, -14, -42, 1, -14, 40, 2, -10, -18, 22, 27, -6, 8, -21, 0, 0, -6, 0, 6, 10, 99, 3, 23, -1, 8, 9, -25, -12, 26, -32, 8, -1], "weight_parity": 1, "has_non_self_twist": 0, "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]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "930.2.a.i", "char_is_minimal": true, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0], [1], [-1], [1], [1], [1], [-1], [-1], [-1], [1], [-1], [-3], [1], [2], [1], [1], [1], [0], [-1], [5], [1], [-1], [3], [9], [-1], [1], [-2], [1], [-1], [0], [-1], [1], [-1], [-3], [0], [-1], [1], [8], [-5], [2], [-1], [0], [1], [11], [-3], [1], [-9], [-6], [1], [-6], [-1], [0], [2], [-9], [-1], [-3], [1], [5], [0], [6], [1], [-10], [-1], [-1], [1], [2], [3], [14], [0], [9], [1], [9], [-1], [-1], [-8], [1], [5], [3], [-2], [-1], [1], [1], [0], [-12], [-1], [0], [-11], [0], [3], [-9], [-1], [-2], [9], [1], [6], [5], [-1], [14], [6], [-3], [1]]}