# Stored data for newform 882.2.g.j, downloaded from the LMFDB on 25 April 2024.
{"label": "882.2.g.j", "space_label": "882.2.g", "level": 882, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532808996750194, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 407158588671221255, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [4, -2, 1]], [11, [16, 4, 1]], [13, [6, 1]]], "qexp_display": "q+\\zeta_{6}q^{2}+(-1+\\zeta_{6})q^{4}+2\\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": "0.017", "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": "1.986", "prec": 17}, {"__RealLiteral__": 0, "data": "0.267", "prec": 17}, {"__RealLiteral__": 0, "data": "12.024", "prec": 20}, {"__RealLiteral__": 0, "data": "4.113", "prec": 17}, {"__RealLiteral__": 0, "data": "110.056", "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, 2, 0], "traces": [0, 2, 1, 0, -1, 2, 0, 0, -2, 0, -2, -4, 0, -12, 0, 0, -1, -2, 0, -4, -4, 0, -8, 8, 0, 1, -6, 0, 0, 4, 0, 0, 1, 0, -4, 0, 0, 10, 4, 0, -2, -12, 0, -8, -4, 0, -8, 0, 0, 0, 2, 0, 6, 6, 0, -16, 0, 0, 2, -4, 0, 6, 0, 0, 2, -12, 0, -4, -2, 0, 0, -16, 0, 10, -10, 0, 8, 0, 0, 0, 2, 0, -6, -8, 0, -8, -4, 0, 4, 6, 0, 0, -16, 0, 0, 8, 0, 28, 0, 0, 1, 2, 0, 8, 12, 0, 12, 12, 0, 2, -8, 0, 0, 28, 0, -16, -2, 0, -8, 0, 0, -5, -6, 0, 0, 24, 0, 0, 1, 0, 12, 20, 0, 0, -8, 0, 2, 10, 0, -8, 0, 0, -8, 24, 0, 4, 20, 0, -20, 6, 0, 8, 4, 0, 0, 0, 0, -10, 0, 0, 4, 0, 0, -20, 6, 0, -4, -16, 0, 46, -4, 0, 4, -22, 0, 0, 8, 0, -6, -12, 0, 36, 0, 0, -8, -20, 0, -8, 0, 0, 16, 0, 0, -2, 14, 0, 0, 20, 0, 8, -1, 0, 4, 0, 0, -12, -8, 0, 6, 32, 0, 40, 6, 0, -12, -8, 0, 0, 4, 0, 8, 12, 0, 32, 0, 0, 14, -12, 0, -2, -32, 0, -4, -22, 0, 0, -4, 0, 0, 0, 0, 2, 5, 0, -12, 0, 0, 24, 0, 0, 12, -24, 0, -64, 0, 0, -1, 30, 0, 0, 24, 0, -20, -24, 0, 24, 0, 0, -4, -22, 0, 0, 4, 0, 20, 4, 0, 10, -4, 0, 0, -52, 0, 4, 8, 0, 48, 0, 0, 13, -4, 0, 10, 60, 0, -16, -10, 0, -6, -48, 0, 0, 16, 0, -4, -12, 0, -56, 0, 0, 0, 8, 0, 10, -20, 0, 0, -18, 0, -8, 2, 0, 0, 16, 0, -6, 20, 0, 12, 0, 0, 4, 4, 0, -8, -16, 0, 36, 23, 0, 4, 0, 0, 0, 8, 0, 22, 12, 0, -44, 0, 0, 4, 30, 0, -16, -12, 0, -24, -8, 0, 3, 18, 0, 0, 40, 0, 32, 8, 0, -40, 0, 0, -22, 8, 0, 0, -24, 0, -40, 8, 0, 0, 16, 0, 0, -4, 0, -14, -26, 0, -32, 0, 0, 10, 0, 0, 6, 16, 0, -2, 18, 0, 0, 2, 0, 0, -80, 0, -22, 12, 0, -16, 0, 0, -8, -6, 0, 16, -72, 0, 12, 20, 0, -6, 2, 0, 0, -24, 0, 8, 0, 0, -4, 0, 0, 2, 32, 0, -24, 16, 0, 24, -4, 0, -12, 16, 0, 0, -68, 0, 24, -14, 0, -24, 0, 0, -10, 2, 0, -16, 44, 0, -64, -2, 0, 22, -28, 0, 0, 0, 0, 4, 16, 0, -8, 0, 0, 0, 16, 0, -60, 4, 0, 10, 28, 0, -8, -6, 0, 0, -24, 0, -4, -24, 0, 0, 0, 0, 44, -12, 0, -12, 48, 0, 8, -32, 0, 0, -6, 0, 0, -2, 0, -30, -16, 0, 0, 0, 0, 12, 6, 0, 20, -40, 0, -48, 0, 0, -41, 12, 0, 0, 72, 0, -24, 4, 0, -44, 0, 0, -30, 0, 0, 2, 8, 0, -24, 10, 0, -4, -8, 0, 0, 20, 0, 4, -2, 0, 48, 0, 0, -26, -44, 0, 28, 8, 0, 16, -6, 0, -12, 24, 0, 0, 16, 0, 34, -13, 0, -8, 0, 0, 24, -10, 0, 30, -56, 0, 0, -8, 0, 10, -18, 0, 0, -12, 0, 48, 24, 0, -52, 0, 0, 8, 10, 0, 48, -8, 0, -24, 0, 0, 42, -28, 0, 0, 44, 0, -44, 0, 0, 16, 0, 0, 19, -10, 0, -10, -40, 0, 16, 0, 0, 18, 0, 0, 0, -16, 0, -2, 2, 0, 8, 0, 0, 8, -24, 0, -16, -12, 0, 40, -18, 0, -40, 6, 0, 0, 56, 0, -2, -4, 0, 8, 0, 0, 16, 8, 0, -8, -48, 0, 4, 18, 0, -23, 18, 0, 0, 8, 0, 0, 12, 0, 40, 0, 0, 4, -36, 0, -4, 44, 0, 24, -8, 0, 12, -22, 0, 0, 4, 0, 40, -4, 0, 60, 0, 0, 10, 16, 0, -6, 0, 0, 96, -12, 0, 8, 0, 0, 0, 6, 0, -18, 2, 0, 16, 0, 0, 20, 8, 0, 6, 64, 0, 16, -16, 0, 12, -20, 0, 0, -48, 0, -12, 22, 0, 16, 0, 0, -48, 0, 0, -12, 32, 0, 12, -20, 0, -8, 22, 0, 0, 0, 0, -16, 24, 0, 28, 0, 0, -2, 2, 0, 0, -28, 0, -52, 24, 0, 32, -16, 0, 0, -40, 0, -36, -10, 0, 0, 0, 0, -36, -6, 0, 8, 12, 0, 0, -1, 0, -18, 40, 0, 0, 0, 0, -2, 10, 0, 88, 0, 0, -40, 40, 0, 16, -44, 0, 24, 38, 0, 56, -8, 0, 0, 72, 0, -26, 8, 0, -12, 0, 0, -16, -16, 0, -36, 112, 0, -50, 6, 0, -20, 46, 0, 0, -12, 0, -2, -80, 0, -28, 0, 0, -12, -42, 0, 20, 16, 0, 0, -32, 0, 44, -2, 0, 0, 0, 0, 24, -2, 0, 64, 0, 0, 2, 24, 0, 8, 36, 0, 40, 12, 0, 4, 24, 0, 0, -24, 0, -16, 0, 0, -48, 0, 0, -34, 0, 0, 12, 48, 0, -28, 36, 0, -12, -12, 0, 0, 0, 0, 16, 10, 0, 4, 0, 0, -40, 16, 0, 22, 96, 0, 20, -32, 0, 2, -18, 0, 0, 44, 0, 28, 16, 0, 44, 0, 0, 0, 26, 0, -48, 8, 0, 32, 4, 0, -60, -4, 0, 0, -52, 0, 0, 0, 0, 32, 0, 0, 31, 60, 0, 2, -8, 0, 16, 5, 0, -28, 12, 0, 0, -16, 0, 6, 18, 0, -48, 0, 0, -12, 24, 0, 20, -8, 0, -48, -32, 0, 16, 0, 0, 0, 32, 0, 14, -44, 0, -24], "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": "42.2.a.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, 2], [0, 0], [0, 0], [-1, 0], [0, 0], [-2, 2], [-4, 4], [0, 0], [-6, 0], [0, 0], [0, 0], [0, -1], [-2, 2], [0, 0], [0, -4], [-2, 0], [0, 0], [-4, 0], [0, 8], [0, 0], [1, -1], [0, -6], [0, 0], [0, 0], [2, 0], [0, 0], [0, 0], [1, -1], [0, 0], [-2, 0], [0, 0], [0, 0], [0, 10], [4, -4], [0, 0], [0, -2], [-6, 0], [0, 0], [-4, 0], [0, -4], [0, 0], [-8, 8], [0, 0], [0, 0], [0, 0], [1, 0], [0, 0], [6, -6], [6, -6], [0, 0], [-8, 0], [0, 0], [0, 0], [0, 2], [-4, 4], [0, 0], [0, 6], [0, 0], [0, 0], [1, 0], [0, -12], [0, 0], [-4, 4], [0, -2], [0, 0], [0, 0], [-8, 0], [0, 0], [10, -10], [-10, 10], [0, 0], [4, 0], [0, 0], [0, 0], [0, 0], [2, -2], [0, 0], [0, -6], [-4, 0], [0, 0], [-4, 0], [0, -4], [0, 0], [4, -4], [0, 6], [0, 0], [0, 0], [-8, 0], [0, 0], [0, 0], [8, -8], [0, 0], [14, 0], [0, 0], [0, 0], [0, 1]]}