# Stored data for newform 882.2.f.h, downloaded from the LMFDB on 16 April 2024. {"label": "882.2.f.h", "space_label": "882.2.f", "level": 882, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31525541022532466, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 570505585075747461, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [9, 3, 1]], [11, [36, -6, 1]], [13, [4, -2, 1]]], "qexp_display": "q+(1-\\zeta_{6})q^{2}+(1-2\\zeta_{6})q^{3}-\\zeta_{6}q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 9, "char_orbit_label": "f", "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": "0.029", "prec": 17}, "analytic_rank_proved": true, "char_values": [882, 3, [785, 199], [2, 3]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2, 3, 7], "conrey_indexes": [295, 589], "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": "1.965", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.798", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "107.035", "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, -3, 0, -2, -6, -6, 6, -3, 2, 0, -9, -1, -12, -3, 14, -3, 0, -6, -3, 0, -4, 4, 0, 0, -6, 0, 2, 1, -18, -6, 0, 3, 4, 7, 6, 3, 0, 0, -2, -12, 9, -6, 0, 3, 0, 4, 0, 2, 12, 9, -36, 0, 0, 6, 0, 9, 5, 4, 0, 2, 6, -18, -8, 6, -9, 0, 6, 6, -4, 2, 12, -7, 0, 0, -5, 6, 18, 0, 12, 0, 18, 2, 18, -6, 0, 18, 0, -3, 6, 0, -21, 3, 2, 0, -18, 8, 9, 18, -10, -2, 0, 6, -24, 9, -20, -18, 0, 0, -15, -21, -9, 12, -6, 0, 0, 9, -25, -5, 0, 2, -6, 0, 34, 1, 6, -6, -9, 0, 0, -16, 27, 12, -6, 0, 5, 0, 0, 3, 24, 3, 36, -2, 0, -2, 6, 12, -23, -14, 36, 0, 6, -6, -13, 5, 0, 3, 0, 9, 4, 0, 0, -12, 0, 0, 9, 36, -42, 4, -6, 18, 0, 6, 0, 0, 36, 9, 50, 0, -15, 3, -6, 0, -36, 0, 0, -42, 9, 0, -17, -2, -18, 0, 36, 18, -28, 4, -24, -9, 0, 18, 0, -20, 9, -4, 42, 0, -8, -6, 0, -12, 12, 0, 0, -10, 0, 18, -12, -6, -28, 0, 12, -30, -15, -21, -1, 9, 0, 6, 18, -12, 0, 0, 15, 0, 15, 0, 8, -50, 0, -10, 0, 0, 14, -2, -36, -3, -6, 0, -36, 17, 54, -1, 18, 6, 0, -12, 18, -18, 21, 18, -18, 0, 0, -8, 18, 0, 56, 6, 0, 6, 24, 9, 16, 10, -6, 0, 27, 0, -19, -3, -63, 12, 0, -3, 38, 18, -6, 2, -3, 0, 0, -4, 54, 12, 6, 0, 0, 23, -27, -7, -30, 18, 50, 0, -30, -6, 12, -6, -10, -26, 0, 10, -18, -18, 36, -3, 0, 0, -84, -9, -16, 2, 0, 0, 0, 54, -26, -24, -12, 0, -24, 0, 22, -9, -45, 18, 24, -21, 0, 2, 27, 6, 24, 0, 26, 0, -18, 12, -18, 0, -9, 0, 0, 18, -6, -9, 60, 25, -75, 0, 6, -15, 8, 6, 0, -12, 0, -6, -14, 36, 0, 0, -24, 0, 4, -21, 0, -9, -18, -3, 0, -34, 6, -4, -24, -18, 18, 0, -27, 18, 30, 36, -52, -14, 0, -4, -3, 0, -4, -18, -27, 0, 12, 0, 32, 0, 18, -10, 0, 18, -72, -2, 15, -42, 15, 0, 10, -16, 0, -12, 24, -9, 0, 12, 0, 6, 24, -9, -28, 0, 0, 10, -21, 6, 8, 36, 0, -24, -18, -6, 0, 28, 18, 0, 66, -12, 0, -15, 69, 15, 0, 0, -29, -2, 0, 18, -33, 0, 13, -6, -18, 9, -24, -6, 0, 0, -39, 0, 12, 15, -28, 0, -36, 30, -6, -9, 4, -8, 0, -25, -12, -27, 58, -5, 0, 0, -18, 0, 36, 28, 108, -4, 0, -36, -32, 3, 0, -3, -24, 0, -54, -18, -27, -17, 30, 0, 0, -2, 0, 36, -30, 0, 0, 0, 18, -6, -48, -18, 26, -9, 0, -21, -12, 18, 14, -36, 0, 0, 0, 0, 36, 8, 0, 9, 0, -27, 76, 28, 0, -6, 30, 0, -32, 12, -15, 48, -42, 9, 0, -16, -18, 5, -48, -12, -8, 0, 108, -27, -33, 0, -45, -38, 0, -6, 18, 0, -32, -12, -27, 0, 24, -6, 8, 19, -51, -18, 0, -6, 36, 4, -18, -6, -3, 0, 14, 0, 0, -2, 0, 54, 0, 6, 0, -6, 24, -12, 14, 0, 24, 46, -75, -27, -22, 7, 0, -15, 0, -18, 16, 25, 0, 0, -42, 0, -7, -12, 27, 24, 0, 0, 29, 10, -126, -13, -24, 0, -14, 5, -24, 18, -51, -18, 0, 72, -18, -6, -27, 36, -4, 0, 0, -42, 0, -18, 0, -8, 0, -2, 36, 30, -27, 0, 12, 0, -42, 54, 5, 26, -36, -12, 0, -6, 36, 0, 84, 24, -30, 0, 37, 44, -36, -18, 42, 0, 0, -18, 45, 12, -12, 21, 36, 0, -3, -2, 12, 27, 47, 12, 0, 48, 15, -18, 0, -26, 0, 0, -36, 0, 28, 6, 0, 18, 0, 0, 52, -18, 15, 0, 6, 0, -36, -18, 45, -3, 72, -18, 0, 30, -24, -25, -24, 0, 8, 0, -54, 12, 12, 0, 29, -8, 0, 3, -96, 0, 52, -6, 42, 0, -36, -6, 18, -28, -36, 72, 0, 9, 31, 0, 0, -12, 138, 0, 52, 2, 0, 21, -42, -51, 0, -18, -54, -36, 0, -3, 14, 0, 54, -17, 102, -6, -16, -2, 0, 24, 0, 0, 18, 36, -54, 0, -39, 0, 20, -18, -63, 15, 0, 18, 20, -26, -54, 14, 3, 0, 0, -8, 0, -6, -12, 24, 0, 4, 0, -9, -60, -54, 32, 0, 0, -12, -6, -18, -14, 64, 0, 0, 24, 18, -8, 10, 72, 0, 72, 9, 68, -36, -48, 2, 0, 0, 0, -84, -18, 30, 0, 0, -7, -10, -81, -8, -54, 0, 0, -6, -57, -24, -6, -9, 35, 0, 63, 24, 54, -36, -4, -6, 0, 12, 18, -9, 36, -14, 0, 0, 30, -54, 16, 20, -6, -42, 0, 6, 22, -8, -9, 18, 0, 0, -68, -12, 0, 18, 24, 0, 0, 0, 54, 56, 0, 0, -54, 0, -18, 33, -24, -24, -72, 0, 0, 15, -75, 69, -32, 30, -27, 0, -15, 21, -72, 29, 0, -1, 0, -54, 22, 9, 0, 33, 6, 0, -8, 26, 30, -12, 0, -18, 0, -9, 36, -12, 216, 6, -76, 0, 30, 0, 21, 0, 0, 0, 0, 24, 24, 0, -4, 28, 54, 0, 84, -18, -54, 15, 108, 6, 0, -9, 27, 8, 72, -16, -51, 0, -17, 25, 0, -6, 30, -27, 0, 29, 0, 5, -6, -6, 0, 0, 60, -36, 18, 0, -54, -36, 0, 14, 12, 54, -80, -2, 78, 0, 42, 0, -55, -64, 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, 9, 3, 1, 3, 0]], "char_orbit_index": 6, "prim_orbit_index": 3, "minimal_twist": "126.2.f.a", "char_is_minimal": true, "conrey_index": 295, "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, -1], [1, -2], [0, -1], [0, -3], [-1, -1], [0, 0], [-1, 0], [-3, 0], [-3, 0], [6, -6], [-2, 1], [0, 2], [0, 0], [-6, 3], [-1, 1], [-6, 0], [-3, 3], [7, 0], [-3, 3], [0, 0], [0, -6], [0, -3], [-1, 2], [-4, 4], [2, 0], [-3, 6], [0, 0], [-6, 6], [-3, 6], [0, 2], [0, 1], [-6, -6], [-6, 6], [0, 0], [0, 3], [2, 0], [7, -7], [4, -2], [0, 3], [0, 0], [0, 0], [-2, 2], [-6, 0], [0, 9], [-3, 0], [0, 0], [1, 1], [0, 0], [0, 4], [-6, 12], [2, -2], [6, 0], [3, 3], [-18, 0], [0, 0], [7, -14], [0, 6], [0, 0], [3, 3], [5, -5], [2, 0], [0, 0], [1, 0], [6, -6], [-12, 6], [0, -8], [0, 6], [-6, 3], [0, 0], [3, 0], [3, 0], [-2, 0], [2, -2], [4, 4], [0, -7], [0, 0], [2, -4], [-5, 5], [3, 0], [9, 0], [0, 0], [12, -12], [0, 0], [0, 18], [0, 2], [6, 6], [-6, 6], [0, 0], [9, 0], [0, 0], [-3, 3], [4, -2], [0, 0], [0, -21], [2, -1], [2, -2], [0, 0], [-18, 18], [4, 0]]}