# Stored data for newform 882.2.g.e, downloaded from the LMFDB on 19 April 2024. {"label": "882.2.g.e", "space_label": "882.2.g", "level": 882, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18014810859897714, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 2040245607942500146, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [9, -3, 1]], [11, [9, -3, 1]], [13, [2, 1]]], "qexp_display": "q-\\zeta_{6}q^{2}+(-1+\\zeta_{6})q^{4}+3\\zeta_{6}q^{5}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "g", "char_is_real": false, "Nk2": 3528, "analytic_conductor": 7.04280545827693, "hecke_ring_index": 1, "level_radical": 42, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [882, 3, [785, 199], [3, 2]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2, 3, 7], "conrey_indexes": [361, 667], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.008", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "12.284", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "114.366", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [-1, 0, 3, 0], "traces": [0, 2, -1, 0, -1, 3, 0, 0, 2, 0, 3, 3, 0, -4, 0, 0, -1, 6, 0, 2, -6, 0, -6, 6, 0, -4, 2, 0, 0, 18, 0, -7, -1, 0, -12, 0, 0, 10, 2, 0, 3, 0, 0, -8, 3, 0, 6, 12, 0, 0, 8, 0, 2, 3, 0, 18, 0, 0, -9, -3, 0, -4, 14, 0, 2, -6, 0, -2, 6, 0, 0, 0, 0, 2, 10, 0, -4, 0, 0, -5, 3, 0, 0, -18, 0, 36, 4, 0, 3, -6, 0, 0, -12, 0, 12, -6, 0, 26, 0, 0, -4, 6, 0, -16, -4, 0, -6, -3, 0, 10, -9, 0, 0, 0, 0, -18, -9, 0, 6, 0, 0, 2, -4, 0, -7, 6, 0, -2, -1, 0, -6, -15, 0, 0, 4, 0, 6, -6, 0, -4, 0, 0, 0, -6, 0, 27, -4, 0, -20, 6, 0, -5, 2, 0, 0, -42, 0, -4, -5, 0, -6, 0, 0, 10, 0, 0, 9, 36, 0, -18, -18, 0, 4, -6, 0, 0, -6, 0, -6, 12, 0, -40, 0, 0, 6, -30, 0, -18, -24, 0, 12, -12, 0, 7, -13, 0, 0, -36, 0, 8, -4, 0, -12, 0, 0, 0, -16, 0, 2, 12, 0, -32, 3, 0, -3, -12, 0, 0, -20, 0, -9, -12, 0, 2, 0, 0, 0, 15, 0, 20, 36, 0, 18, 6, 0, -36, -3, 0, 0, 36, 0, 23, 2, 0, 8, 0, 0, -4, -7, 0, -3, -18, 0, 36, 1, 0, -1, -6, 0, 0, 12, 0, -15, -24, 0, 18, 0, 0, -2, -3, 0, -19, -12, 0, 12, 12, 0, 4, 2, 0, 0, -36, 0, 20, 0, 0, 12, 0, 0, -19, 27, 0, 2, -18, 0, -18, 10, 0, 6, -12, 0, 0, 10, 0, 2, 12, 0, -52, 0, 0, 21, -12, 0, 17, 8, 0, 10, -21, 0, 27, 3, 0, 0, 24, 0, 8, 10, 0, 0, 0, 0, -8, 9, 0, -18, -12, 0, 10, 9, 0, -18, 21, 0, 0, -8, 0, -6, 12, 0, -28, 0, 0, 3, 24, 0, 0, 12, 0, -24, -30, 0, 15, 20, 0, 0, 12, 0, -37, 6, 0, 60, 0, 0, 4, -18, 0, 12, -36, 0, -56, -6, 0, -12, 30, 0, 0, -14, 0, -13, 30, 0, 72, 0, 0, 18, 15, 0, 8, -16, 0, 8, 24, 0, 14, 6, 0, 0, 60, 0, 11, 0, 0, 32, 0, 0, -27, 2, 0, -6, 72, 0, 16, 16, 0, 3, 24, 0, 0, 6, 0, -12, -24, 0, -52, 0, 0, 10, -12, 0, -19, 18, 0, 24, 15, 0, 18, -1, 0, 0, 36, 0, 0, 0, 0, -30, 0, 0, 13, 20, 0, -18, -36, 0, -8, -9, 0, 6, 12, 0, 0, 72, 0, -3, -12, 0, -16, 0, 0, -18, 24, 0, -20, -46, 0, -4, 39, 0, -11, -4, 0, 0, 18, 0, 54, -4, 0, 14, 0, 0, -38, -3, 0, 9, -36, 0, 36, -18, 0, 1, -15, 0, 0, 2, 0, -6, 48, 0, 72, 0, 0, -6, 24, 0, 26, 30, 0, 48, 42, 0, -13, -9, 0, 0, 0, 0, 9, -2, 0, 6, 0, 0, 16, -19, 0, 6, 60, 0, 28, -6, 0, 12, 18, 0, 0, -8, 0, 2, -15, 0, 16, 0, 0, 18, -3, 0, 0, -40, 0, 0, -30, 0, -32, -6, 0, 0, -48, 0, -1, -19, 0, -54, 0, 0, -9, 2, 0, 9, -54, 0, -28, 9, 0, 10, 30, 0, 0, -12, 0, -12, 30, 0, -46, 0, 0, -5, -6, 0, -13, -4, 0, -24, -24, 0, -26, 26, 0, 0, 72, 0, -4, 21, 0, 24, 0, 0, 29, 17, 0, -4, 120, 0, -74, -5, 0, -21, -3, 0, 0, -54, 0, 3, 12, 0, -76, 0, 0, -12, -12, 0, 9, -16, 0, -20, -39, 0, 45, 0, 0, 0, -72, 0, -40, -8, 0, -18, 0, 0, 54, -18, 0, 6, -24, 0, 34, -5, 0, 9, -33, 0, 0, 36, 0, 21, -51, 0, -36, 0, 0, 4, -6, 0, 32, 12, 0, -24, -6, 0, 0, 14, 0, 0, 18, 0, -20, 3, 0, -48, 0, 0, -14, 0, 0, -6, -84, 0, -36, 12, 0, -30, -42, 0, 0, -30, 0, 20, -36, 0, 62, 0, 0, -6, -24, 0, 20, 74, 0, -12, 6, 0, -26, -30, 0, 0, -108, 0, -18, 4, 0, 36, 0, 0, -23, 12, 0, 18, -30, 0, -56, 28, 0, -6, -42, 0, 0, 24, 0, 30, 6, 0, -10, 0, 0, 7, 6, 0, -28, 26, 0, -60, 0, 0, 0, -36, 0, 0, -24, 0, -16, 18, 0, -30, 0, 0, 8, 8, 0, 8, -54, 0, 144, -4, 0, 24, -6, 0, 0, -28, 0, 6, 12, 0, -4, 0, 0, -30, -30, 0, -8, -22, 0, 0, 15, 0, 16, -16, 0, 0, 18, 0, 2, -27, 0, -4, 0, 0, 54, -6, 0, -36, 108, 0, 104, -8, 0, 16, -27, 0, 0, -6, 0, 24, -60, 0, 92, 0, 0, -3, -12, 0, -16, 24, 0, 48, 6, 0, 18, 26, 0, 0, -30, 0, 4, 10, 0, 24, 0, 0, -56, -19, 0, -9, 36, 0, 40, -12, 0, 15, -6, 0, 0, -36, 0, -1, -24, 0, 72, 0, 0, -18, -63, 0, -18, 0, 0, 0, -60, 0, -50, 15, 0, 0, 0, 0, -27, 13, 0, -40, 0, 0, 28, -18, 0, 18, 0, 0, -80, 4, 0, -9, -24, 0, 0, -12, 0, 12, 54, 0, 74, 0, 0, -36, 15, 0, 0, 6, 0, 24, -12, 0, -4, 8, 0, 0, -72, 0, 36, -18, 0, -48, 0, 0, -18, -20, 0, 23, 42, 0, 58, 2, 0, 39, 39, 0, 0, 22, 0, -4, 12, 0, -36, 0, 0, -9, 24, 0, -54, -108, 0, 8, -24, 0, 19, -7, 0, 0, 48, 0, -22, -38, 0, 6], "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, 7, 3, 1, 3, 0]], "char_orbit_index": 7, "prim_orbit_index": 3, "minimal_twist": "126.2.g.a", "char_is_minimal": false, "conrey_index": 361, "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, 0], [-1, 1], [0, 3], [0, 0], [0, 0], [1, 0], [0, 0], [3, -3], [3, -3], [0, 0], [-2, 0], [0, 0], [0, 0], [0, -1], [6, -6], [0, 0], [0, 2], [-3, 0], [0, 0], [-3, 0], [0, 6], [0, 0], [-4, 4], [0, 2], [0, 0], [0, 0], [9, 0], [0, 0], [-7, 7], [-1, 1], [0, 0], [-6, 0], [0, 0], [0, 0], [0, 10], [2, -2], [0, 0], [0, 3], [0, 0], [0, 0], [-4, 0], [0, 3], [0, 0], [6, -6], [0, 12], [0, 0], [0, 0], [4, 0], [0, 0], [2, -2], [3, -3], [0, 0], [9, 0], [0, 0], [0, 0], [0, -9], [-3, 3], [0, 0], [0, -4], [7, 0], [0, 0], [1, 0], [0, -6], [0, 0], [-2, 2], [0, 6], [0, 0], [0, 0], [0, 0], [0, 0], [2, -2], [10, -10], [0, 0], [-2, 0], [0, 0], [0, 0], [0, -5], [3, -3], [0, 0], [0, 0], [-9, 0], [0, 0], [18, 0], [0, 4], [0, 0], [3, -3], [0, -6], [0, 0], [0, 0], [-6, 0], [0, 0], [12, -12], [-6, 6], [0, 0], [13, 0], [0, 0], [0, 0], [0, -4]]}