# Stored data for newform 1110.2.d.a, downloaded from the LMFDB on 19 April 2024.
{"label": "1110.2.d.a", "space_label": "1110.2.d", "level": 1110, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 206191985750, "dim": 2, "is_polredabs": true, "nf_label": "2.0.4.1", "trace_hash": 1968482737040513625, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [4, 0, 1]], [11, [0, 1]]], "qexp_display": "q+iq^{2}-iq^{3}-q^{4}+(-2-i)q^{5}+\\cdots", "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 5, "char_orbit_label": "d", "char_is_real": true, "Nk2": 4440, "analytic_conductor": 8.863394624362122, "hecke_ring_index": 1, "level_radical": 1110, "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": "0.520", "prec": 17}, "analytic_rank_proved": true, "char_values": [1110, 2, [371, 667, 631], [2, 1, 2]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2, 3, 5, 37], "conrey_indexes": [889], "field_disc": -4, "field_disc_factorization": [[-1, 1], [2, 2]], "field_poly": [1, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.009", "prec": 17}, {"__RealLiteral__": 0, "data": "2.042", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "16.144", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "161.315", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c2", "trace_display": [0, 0, -4, 0], "traces": [0, 2, 0, 0, -2, -4, 2, 0, 0, -2, 2, 0, 0, 0, -4, -2, 2, 0, 0, 4, 4, 4, 0, 0, -2, 6, 4, 0, 0, 0, -4, 16, 0, 0, -4, 4, 2, 0, 0, -4, -2, 12, 0, 0, 0, 4, -8, 0, 0, 6, -8, 4, 0, 0, -2, 0, 4, 0, 0, -12, 2, 16, 0, 0, -2, -4, 0, 0, 0, 8, 8, 16, 0, 0, 2, 8, -4, 0, 0, 32, -4, 2, 0, 0, -4, 4, -8, 0, 0, -12, -2, 8, 0, 0, -20, -8, 2, 0, 0, 0, -6, -20, 0, 0, -4, -8, 4, 0, 0, 24, 0, -2, 0, 0, 4, 8, 0, 0, 0, -8, 4, -22, 0, 0, -16, -4, 4, 0, 0, 8, -8, -12, 0, 0, -8, 2, 4, 0, 0, -24, -4, 20, 0, 0, -2, 0, -16, 0, 0, -28, 6, 0, 0, 0, 0, -32, 4, 0, 0, -4, 2, -16, 0, 0, -12, 0, 0, 0, 0, 18, 8, -4, 0, 0, 0, -16, 0, 0, 0, -12, -4, -12, 0, 0, 8, -2, 16, 0, 0, -4, 4, 16, 0, 0, -28, 8, -6, 0, 0, 32, 8, 8, 0, 0, -4, -24, -16, 0, 0, 0, 4, -16, 0, 0, 8, 8, 2, 0, 0, 16, 0, 8, 0, 0, -4, -6, 20, 0, 0, -4, 16, 0, 0, 0, -4, 20, 12, 0, 0, 16, -2, -44, 0, 0, -16, -12, 12, 0, 0, 0, 22, 60, 0, 0, 12, -8, 2, 0, 0, 4, 4, 0, 0, 0, 0, -4, -8, 0, 0, -12, 4, 0, 0, 0, 16, 0, -8, 0, 0, -16, -8, -20, 0, 0, -16, -4, 0, 0, 0, 26, 0, 28, 0, 0, 6, 24, -2, 0, 0, 16, -8, -16, 0, 0, 4, -32, 4, 0, 0, 16, 16, -8, 0, 0, -12, -4, -32, 0, 0, 0, 4, -8, 0, 0, -2, 16, 40, 0, 0, -40, 0, 20, 0, 0, 0, 8, 4, 0, 0, -20, -4, 0, 0, 0, 8, -16, -28, 0, 0, 52, -12, 4, 0, 0, -12, -32, 12, 0, 0, 32, 2, -30, 0, 0, -8, 16, 16, 0, 0, -12, -4, 8, 0, 0, 0, -22, 20, 0, 0, 8, 8, -12, 0, 0, -2, 0, -28, 0, 0, 32, -4, -16, 0, 0, 20, -64, 0, 0, 0, 8, 6, -36, 0, 0, 20, -4, 0, 0, 0, -28, 12, -16, 0, 0, 8, 0, 4, 0, 0, 40, 8, -40, 0, 0, -4, -16, 16, 0, 0, 0, 16, 32, 0, 0, -32, 0, -24, 0, 0, 16, 0, -6, 0, 0, 2, 24, 52, 0, 0, 4, 8, 0, 0, 0, -24, -16, -4, 0, 0, -4, -8, 0, 0, 0, 0, -16, 0, 0, 0, -16, 40, 12, 0, 0, 32, 12, 8, 0, 0, 48, -4, -4, 0, 0, 22, 28, 2, 0, 0, -40, 6, 16, 0, 0, 8, 0, 16, 0, 0, 12, 4, 0, 0, 0, -4, 40, 0, 0, 0, 20, 4, -32, 0, 0, -52, 16, -8, 0, 0, 28, 8, -44, 0, 0, 12, 12, -12, 0, 0, 14, -8, 12, 0, 0, -12, -8, 8, 0, 0, 0, -2, -16, 0, 0, -4, -48, 8, 0, 0, -16, 0, 0, 0, 0, -28, 4, 24, 0, 0, 16, 4, 0, 0, 0, -20, -20, 24, 0, 0, -60, -8, -56, 0, 0, -24, -32, 2, 0, 0, 28, 0, 0, 0, 0, 16, 4, 12, 0, 0, 32, -12, -20, 0, 0, 0, 16, 28, 0, 0, 48, -6, -84, 0, 0, 0, 44, -20, 0, 0, 0, 16, 40, 0, 0, 32, -12, 0, 0, 0, -80, 32, -8, 0, 0, -4, -14, 20, 0, 0, 4, -8, -24, 0, 0, -52, -12, 4, 0, 0, -16, -2, -68, 0, 0, 16, -16, -8, 0, 0, 0, 12, 32, 0, 0, 24, 24, 12, 0, 0, 40, 0, -8, 0, 0, 0, 8, -2, 0, 0, -52, 16, 0, 0, 0, 16, -8, -18, 0, 0, -56, -8, 24, 0, 0, 4, -16, -40, 0, 0, -8, 8, 8, 0, 0, 56, 48, 0, 0, 0, 0, 16, -8, 0, 0, 0, -40, -4, 0, 0, 64, 16, -32, 0, 0, -8, 0, 12, 0, 0, 32, 4, -32, 0, 0, 12, 0, -22, 0, 0, -2, 32, -16, 0, 0, 44, -6, -8, 0, 0, 104, 2, -8, 0, 0, -16, 56, -4, 0, 0, 16, -4, -80, 0, 0, 0, 0, 4, 0, 0, 0, -4, 36, 0, 0, -16, -4, -8, 0, 0, 76, 0, 52, 0, 0, 8, 48, 28, 0, 0, 24, -8, 0, 0, 0, 6, 12, -12, 0, 0, 12, 32, 40, 0, 0, -68, 8, -32, 0, 0, -40, -8, 12, 0, 0, -8, 32, 32, 0, 0, 108, 2, -40, 0, 0, 0, -40, 4, 0, 0, -8, 24, 108, 0, 0, 16, 0, 24, 0, 0, -8, 0, 28, 0, 0, -24, 0, 0, 0, 0, -96, -4, -58, 0, 0, 16, -36, 20, 0, 0, -24, -12, 8, 0, 0, -32, 8, -8, 0, 0, -28, -8, 24, 0, 0, -2, 28, 32, 0, 0, 0, 0, 16, 0, 0, -16, 44, -16, 0, 0, -12, 0, -60, 0, 0, -8, 12, -24, 0, 0, 24, -12, 0, 0, 0, -28, 24, 4, 0, 0, 0, 6, 8, 0, 0, -20, 24, 0, 0, 0, 20, 8, 40, 0, 0, -28, -16, 4, 0, 0, 40, -16, -32, 0, 0, 0, 8, -8, 0, 0, -28, -32, 12, 0, 0, -24, 0, 4, 0, 0, -20, -20, 52, 0, 0, -12, 8, 0, 0, 0, 32, -16, 52, 0, 0, -4, -32, -16, 0, 0, 32, 2, 66, 0, 0, 44, 28, -16, 0, 0, 8, 56, -64, 0, 0, 0, -12, 16, 0, 0, 0, 12, -24, 0, 0, -12, -20, 0, 0, 0, -32, 0, 88, 0, 0, -32, -64, 0, 0, 0, 2, -22, 0, 0, 0, -60, -16, -48, 0, 0, -100, -20, -16, 0, 0, 18, 0, -12, 0, 0, -44, 8, -40, 0, 0, -2, 36, -4, 0, 0, 40, 32, 80, 0, 0, 0, -8, -4, 0, 0, -64, -4, -56, 0, 0, 0, 0, -72, 0, 0, 52, -16, 84, 0, 0, -32, 32, 0, 0, 0, 4, 4, -52, 0, 0, 8, -16, 24, 0, 0, -52, -16, 8, 0, 0, -12, -32, 12, 0, 0, 0, -4, -80, 0, 0, 0, 32, -12, 0, 0, 22, 24, -52, 0, 0, -24, -32, -16, 0, 0, -24, 0, -44, 0, 0, 8, -16, -64, 0, 0, -92, -2, 0, 0, 0, -36, -52, 16, 0, 0, 4, 8, -24, 0, 0, 20, 4, -24, 0, 0, -108, -40, 0, 0, 0, -4, 24, 16, 0, 0, -16, 4, 80, 0, 0, 0, 8, 16, 0, 0, 8, -24, 0, 0, 0, -20, 0, -26, 0, 0, 32, 0, -8, 0, 0, -28, 0, 0, 0, 0, 0, 8, 68, 0, 0, 8, -80, -6, 0, 0, 12, -24, 108, 0, 0, 2, -32, -32, 0, 0, 0, -8, 68, 0, 0, 32, -32, -16, 0, 0, 0, 8, 92, 0, 0, 16, 88, 8, 0, 0, -32, -22, -56, 0, 0, -88, -2, -4, 0, 0, 16, 32, 0, 0, 0, -4, 18, 4, 0, 0, 40, -24, -80, 0, 0, -8, -8, -16, 0, 0, -24, -16, -32, 0, 0, 8, 0, 24, 0, 0, 108, -48, 24, 0, 0, 0, -120, 12, 0, 0, -24, 4, 56, 0, 0, 32, 0, -16, 0, 0, -20, -24, 96, 0, 0, 12, 12, 0, 0, 0, -112, -4, 32, 0, 0, 8, 52, 56, 0, 0, 52, 8, -80, 0, 0, 0, -8, 2, 0, 0, -32, -16, 112, 0, 0, -40, 0, 28, 0, 0, 0, -12, 16, 0, 0, 16, 12, 40, 0, 0, -24, 0, -76, 0, 0, -20, 16, 8, 0, 0, 24, 16, 0, 0, 0, 0, 12, 0, 0, 0, 32, -8, 28, 0, 0, -4, 24, 56, 0, 0, 32, -6, -56, 0, 0, 36, 0, 20, 0, 0, 0, 4, 12, 0, 0, 0, -8, 24, 0, 0, -2, -32, 28, 0, 0, -4, 0, -8, 0, 0, 40, 16, -108, 0, 0, 28, 28, 0, 0, 0, 8, -24, -16, 0, 0, -24, 32, -52, 0, 0, -32, 12, 24, 0, 0, -4, 40, 4, 0, 0, 92, 20, 0, 0, 0, 40, -24, 12, 0, 0, 0, 32, 0, 0, 0, -12, 16, -64, 0, 0, 88, 0, 4, 0, 0, 16, 24, -32, 0, 0, -64, -2, 0, 0, 0, 30, -52, -44, 0, 0, 16, 0, 92, 0, 0, 104, -56, 8, 0, 0, -64, -16, 0, 0, 0, -16, -12, -44, 0, 0, -40, -12, 128, 0, 0, 0, -36, 12, 0, 0, 0, 4, -116, 0, 0, -8, 0, 76, 0, 0, -84, -28, 32, 0, 0, 0, -32, 0, 0, 0, -108, 22, 64, 0, 0, -20, 32, 60, 0, 0, 48, 0, 120, 0, 0, 4, 20, -8, 0, 0, 48, -8, -18, 0, 0, 12, 48, -48, 0, 0, 0, -8, -44, 0, 0, -24, -32, 2, 0, 0, 4, 0, -32, 0, 0, 28, -32, 84, 0, 0, 40, -64, 0, 0, 0, 4, 16, -32, 0, 0, -88, 4, 104, 0, 0, 16, -20, 0, 0, 0, 72, 24, 76, 0, 0, 72, 16, -20, 0, 0, -136, 64, 32, 0, 0, 0, 52, 32, 0, 0, -48, -4, 8, 0, 0, 84, 0, -8, 0, 0, -24, -6, 60, 0, 0, 36, 16, 0, 0, 0, 140, -16, 12, 0, 0, -12, 8, -20, 0, 0, 144, 4, -124, 0, 0, 0, -44, 0, 0, 0, 12, -80, 0, 0, 0, -16, -24, 28, 0, 0, 0, -12, 24, 0, 0, 16, 80, 4, 0, 0, -56, 0, -24, 0, 0, -88, -40, -8, 0, 0, 64, 0, 0, 0, 0, -4, 2, -12, 0, 0, 68, 0, 36, 0, 0, -16, -32, -40, 0, 0, -64, -8, -10, 0, 0, 40, -16, -20, 0, 0, 24, 18, -24, 0, 0, 44, 40, 4, 0, 0, 88, 16, 4, 0, 0, -16, 0, 28, 0, 0, 148, -4, 0, 0, 0, 68, 40, 0, 0, 0, -16, -16, -156, 0, 0, -32, 24, 92, 0, 0, 16, 56, 20, 0, 0, 26, -56, 32, 0, 0, 20, 0, -104, 0, 0, 24, -104, 28, 0, 0, 0, 8, -32, 0, 0, 4, -8, -16, 0, 0, 104, 0, -8, 0, 0, 6, 4, -72, 0, 0, 0, 24, 0, 0, 0, 60, 48, -2, 0, 0, 32, -24, -32, 0, 0, -52, 8, -40, 0, 0, -72, -12, -32, 0, 0, 16, -64, -4, 0, 0, -104, -8, 100, 0, 0, 0, 60, -16, 0, 0, -8, -12, 84, 0, 0, 88, 22, 24, 0, 0, 16, 16, 88, 0, 0, 4, -64, 0, 0, 0, -96, -32, -88, 0, 0, 24, -44, 4, 0, 0, -4, 8, -24, 0, 0, 0, 24, 32, 0, 0, 54, 6, 8, 0, 0, 16, -16, 0, 0, 0, 0, 16, 52, 0, 0, 0, 4, -8, 0, 0, -24, 0, -144, 0, 0, 24, 48, 16, 0, 0, 104, -40, 0, 0, 0, -12, 0, -48, 0, 0, -84, -4, 128, 0, 0, 8, -16, -32, 0, 0, 16, -12, -88, 0, 0, -8, 24, -32, 0, 0, 0, 16, -12, 0, 0, 0, 8, -48, 0, 0, -40, 4, 40, 0, 0, 4, 0, -8, 0, 0, -56, 56, -152, 0, 0, -8, -8, -22, 0, 0, -56, -28, 0, 0, 0, -2, -64, 48, 0, 0, -92, 16, -16, 0, 0, 60, 32, 40, 0, 0, -28, -6, -4, 0, 0, -16, 12, -20, 0, 0, 0, -40, -16, 0, 0, -40, 96, -8, 0, 0, 12, 0, 48, 0, 0, -16, 68, 20, 0, 0, -8, 32, 0, 0, 0, 52, -16, -12, 0, 0, -64, -4], "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, 5, 2, 1, 2, 0]], "char_orbit_index": 4, "prim_orbit_index": 2, "minimal_twist": "1110.2.d.a", "char_is_minimal": true, "conrey_index": 889, "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], [0, -1], [-1, 0], [-2, -1], [1, 0], [0, 2], [0, -1], [-1, 0], [1, -2], [0, 0], [0, 1], [0, -2], [-2, 0], [-1, 2], [1, 0], [0, 2], [0, -1], [2, 0], [2, 1], [2, 0], [0, 0], [0, 4], [-1, 0], [3, 4], [2, 0], [0, 1], [0, -2], [0, 0], [-2, -1], [8, 0], [0, 1], [0, 0], [-2, 0], [2, -4], [1, 0], [0, -1], [0, 2], [-2, 0], [-1, 2], [6, 0], [0, 2], [0, 4], [0, 0], [2, 1], [-4, 0], [0, 10], [0, -1], [3, 0], [-4, 3], [2, 0], [0, 2], [0, -2], [-1, 0], [0, 0], [2, 0], [0, -2], [0, 0], [-6, 0], [1, -2], [8, 0], [0, 8], [0, -2], [-1, 0], [-2, 4], [0, 0], [0, 4], [0, -2], [4, 0], [4, 2], [8, 0], [0, 1], [0, 8], [1, 0], [4, -3], [-2, 0], [0, 0], [0, -2], [16, 0], [-2, -1], [1, 0], [0, 6], [0, 0], [-2, 0], [2, -4], [-4, 0], [0, 0], [0, 0], [-6, 0], [-1, 2], [4, 0], [0, -4], [0, -8], [-10, 0], [-4, -2], [1, 0], [0, 14], [0, 3], [0, 0], [-3, -4]]}