# Stored data for newform 930.2.i.d, downloaded from the LMFDB on 19 April 2024.
{"label": "930.2.i.d", "space_label": "930.2.i", "level": 930, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13511348671480738, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1921572485308133123, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [25, 5, 1]], [11, [1, -1, 1]], [13, [16, 4, 1]]], "qexp_display": "q+q^{2}+(-1+\\zeta_{6})q^{3}+q^{4}-\\zeta_{6}q^{5}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 31, "char_orbit_label": "i", "char_is_real": false, "Nk2": 3720, "analytic_conductor": 7.426087387979075, "hecke_ring_index": 1, "level_radical": 930, "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": [930, 3, [311, 187, 871], [3, 3, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 2, "level_primes": [2, 3, 5, 31], "conrey_indexes": [211, 811], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.034", "prec": 17}, {"__RealLiteral__": 0, "data": "1.997", "prec": 17}, {"__RealLiteral__": 0, "data": "0.058", "prec": 17}, {"__RealLiteral__": 0, "data": "12.175", "prec": 20}, {"__RealLiteral__": 0, "data": "0.513", "prec": 17}, {"__RealLiteral__": 0, "data": "114.692", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [2, -1, -1, -5], "traces": [0, 2, 2, -1, 2, -1, -1, -5, 2, -1, -1, 1, -1, -4, -5, 2, 2, -4, -1, -4, -1, -5, 1, 4, -1, -1, -4, 2, -5, -18, 2, -11, 2, -2, -4, 10, -1, -2, -4, 8, -1, 2, -5, -8, 1, -1, 4, 16, -1, -18, -1, -4, -4, 9, 2, 1, -5, -4, -18, 3, 2, 12, -11, 10, 2, -4, -2, 10, -4, -2, 10, 4, -1, -2, -2, -1, -4, -10, 8, 12, -1, -1, 2, 9, -5, 8, -8, 9, 1, -12, -1, 40, 4, 7, 16, 8, -1, -2, -18, 1, -1, -10, -4, -13, -4, -5, 9, -11, 2, 16, 1, -2, -5, 16, -4, -2, -18, -4, 3, -20, 2, 10, 12, -4, -11, 2, 10, 13, 2, -8, -4, -4, -2, -20, 10, -1, -4, -8, -2, -40, 10, -8, 4, 4, -1, 9, -2, 36, -2, 11, -1, 26, -4, 8, -10, 4, 8, 28, 12, -18, -1, -10, -1, 20, 2, 1, 9, 14, -5, -3, 8, 8, -8, 3, 9, -5, 1, 3, -12, -9, -1, 10, 40, -6, 4, 4, 7, -8, 16, -5, 8, 26, -1, -25, -2, -4, -18, 22, 1, -1, -1, -20, -10, 45, -4, 2, -13, -2, -4, -8, -5, 8, 9, -8, -11, 16, 2, 35, 16, 4, 1, 32, -2, -9, -5, 2, 16, 13, -4, 10, -2, 5, -18, 20, -4, -8, 3, 12, -20, 12, 2, 17, 10, -1, 12, -18, -4, 32, -11, -18, 2, -8, 10, 2, 13, -4, 2, -18, -8, -10, -4, 9, -4, -52, -2, 9, -20, 6, 10, -10, -1, -6, -4, -20, -8, -2, -2, -24, -40, 4, 10, 4, -8, -48, 4, -4, 4, -20, -1, 1, 9, 1, -2, -31, 36, -6, -2, 1, 11, -8, -1, -40, 26, 5, -4, -6, 8, 4, -10, 26, 4, -32, 8, -1, 28, -5, 12, -23, -18, -9, -1, -11, -10, -16, -1, 8, 20, -8, 2, -40, 1, -34, 9, 4, 14, 10, -5, -54, -3, -32, 8, -4, 8, 110, -8, 4, 3, 19, 9, -64, -5, -4, 1, 26, 3, 4, -12, 40, -9, 10, -1, 3, 10, 10, 40, -2, -6, 24, 4, 2, 4, -90, 7, -8, -8, -1, 16, 36, -5, -26, 8, 13, 26, -14, -1, 5, -25, 16, -2, 6, -4, -8, -18, -4, 22, -24, 1, -14, -1, 40, -1, 24, -20, 16, -10, 2, 45, -4, -4, -19, 2, 16, -13, 15, -2, 9, -4, 20, -8, 54, -5, -26, 8, -8, 9, -4, -8, -30, -11, 4, 16, -20, 2, -44, 35, -18, 16, -8, 4, 15, 1, -18, 32, -4, -2, 6, -9, 11, -5, -20, 2, -2, 16, -13, 13, -20, -4, -36, 10, -4, -2, 66, 5, 70, -18, -11, 20, 54, -4, -100, -8, -14, 3, -16, 12, -4, -20, 9, 12, -8, 2, 16, 17, -10, 10, 1, -1, -37, 12, -10, -18, 9, -4, 36, 32, -2, -11, -40, -18, -10, 2, 14, -8, 30, 10, 5, 2, -3, 13, -39, -4, 20, 2, -4, -18, -13, -8, 8, -10, -6, -4, -20, 9, -72, -4, 10, -52, 28, -2, -38, 9, -6, -20, 8, 6, 22, 10, -9, -10, 18, -1, 10, -6, -20, -4, -8, -20, 42, -8, -6, -2, 36, -2, 60, -24, -2, -40, -46, 4, 64, 10, 4, 4, 47, -8, 16, -48, -5, 4, -24, -4, 42, 4, -52, -20, -2, -1, 18, 1, -25, 9, -90, 1, -9, -2, 8, -31, -54, 36, 28, -6, -44, -2, 32, 1, -20, 11, 2, -8, 36, -1, -42, -40, 10, 26, -20, 5, 0, -4, 45, -6, -32, 8, -12, 4, 2, -10, 42, 26, -68, 4, 4, -32, 30, 8, -1, -1, 4, 28, -8, -5, -29, 12, 8, -23, -26, -18, -72, -9, 4, -1, 6, -11, 52, -10, -8, -16, 0, -1, 6, 8, 20, 20, 66, -8, 8, 2, -2, -40, 66, 1, 30, -34, -16, 9, -20, 4, -36, 14, -9, 10, 6, -5, 15, -54, -1, -3, 35, -32, 5, 8, -26, -4, -78, 8, -8, 110, 10, -8, 36, 4, 32, 3, 5, 19, 20, 9, -16, -64, -10, -5, -15, -4, -8, 1, 16, 26, 25, 3, 60, 4, -24, -12, -22, 40, -8, -9, -24, 10, 36, -1, 130, 3, 17, 10, 9, 10, 21, 40, 2, -2, -32, -6, -50, 24, -18, 4, -10, 2, -12, 4, -16, -90, 76, 7, -22, -8, 9, -8, -55, -1, 15, 16, -8, 36, -13, -5, -16, -26, -4, 8, 16, 13, -40, 26, -4, -14, -24, -1, 11, 5, 36, -25, -60, 16, 7, -2, 20, 6, -16, -4, -4, -8, -18, -18, -14, -4, 14, 22, 26, -24, -160, 1, -24, -14, 9, -1, -37, 40, -32, -1, 6, 24, 2, -20, 20, 16, 20, -10, 12, 2, -30, 45, 3, -4, -10, -4, -32, -19, -20, 2, 30, 16, -19, -13, 1, 15, 24, -2, 64, 9, 12, -4, 144, 20, -28, -8, -11, 54, 8, -5, 104, -26, -2, 8, 6, -8, 50, 9, 24, -4, -4, -8, -48, -30, -4, -11, 4, 4, -30, 16, 10, -20, -24, 2, 3, -44, -2, 35, 24, -18, 40, 16, 1, -8, -5, 4, -2, 15, -31, 1, -10, -18, 52, 32, 3, -4, -26, -2, 65, 6, -2, -9, -32, 11, 18, -5, 16, -20, 99, 2, -72, -2, 80, 16, 10, -13, -24, 13, 5, -20, 8, -4, -9, -36, 12, 10, -20, -4, 25, -2, 4, 66, 16, 5, -2, 70, -13, -18, 48, -11, 144, 20, 16, 54, 4, -4, 34, -100, -1, -8, 39, -14, 4, 3, 10, -16, -48, 12, -8, -4, -23, -20, -4, 9, 26, 12, 18, -8, 80, 2, 59, 16, 22, 17, 50, -10, 16, 10, 32, 1, -57, -1, 100, -37, -4, 12, 40, -10, -6, -18, -8, 9, -26, -4, 22, 36, -40, 32, -16, -2, 80, -11, 68, -40, -1, -18, -42, -10, -2, 2], "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, 31, 3, 1, 3, 0]], "char_orbit_index": 9, "prim_orbit_index": 3, "minimal_twist": "930.2.i.d", "char_is_minimal": true, "conrey_index": 211, "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, 0], [-1, 1], [1, 0], [0, -1], [-1, 1], [-5, 5], [1, 0], [0, -1], [0, -1], [0, 1], [-1, 1], [0, -4], [-5, 5], [1, 0], [1, 0], [-4, 4], [0, -1], [-4, 4], [0, -1], [0, -5], [0, 1], [2, 0], [-1, 1], [-1, 1], [0, -4], [1, 0], [-5, 5], [-9, 0], [1, 0], [-5, -1], [1, 0], [-1, 0], [-4, 4], [5, 0], [0, -1], [-2, 2], [-4, 4], [4, 0], [0, -1], [0, 2], [0, -5], [-8, 8], [0, 1], [-1, 1], [2, 0], [8, 0], [-1, 1], [0, -18], [-1, 1], [0, -4], [0, -4], [0, 9], [1, 0], [1, -1], [-5, 5], [0, -4], [-9, 0], [3, -3], [1, 0], [6, 0], [-5, -1], [5, 0], [1, 0], [-4, 4], [-1, 0], [0, 10], [-4, 4], [-2, 2], [5, 0], [0, 4], [0, -1], [0, -2], [-2, 2], [0, -1], [-4, 4], [-5, 0], [4, 0], [12, -12], [0, -1], [-1, 1], [0, 2], [0, 9], [0, -5], [4, 0], [-8, 8], [9, -9], [0, 1], [-6, 0], [-1, 1], [20, 0], [2, 0], [6, -5], [8, 0], [4, 0], [-1, 1], [-1, 0], [0, -18], [1, -1], [-1, 1]]}