# Stored data for newform 882.2.k.a, downloaded from the LMFDB on 25 April 2024.
{"label": "882.2.k.a", "space_label": "882.2.k", "level": 882, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 687228322674, "dim": 8, "is_polredabs": true, "nf_label": "8.0.5308416.1", "trace_hash": 2174329056783151146, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [81, 0, 162, 0, 315, 0, 18, 0, 1]]], "qexp_display": "q-\\zeta_{24}q^{2}+\\zeta_{24}^{2}q^{4}+(\\zeta_{24}-2\\zeta_{24}^{3}+\\cdots)q^{5}+\\cdots", "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 21, "char_orbit_label": "k", "char_is_real": false, "Nk2": 3528, "analytic_conductor": 7.04280545827693, "hecke_ring_index": 36, "level_radical": 42, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 24, "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": "0.596", "prec": 17}, "analytic_rank_proved": true, "char_values": [882, 6, [785, 199], [3, 5]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 4, "level_primes": [2, 3, 7], "conrey_indexes": [215, 521], "field_disc": 5308416, "field_disc_factorization": [[2, 16], [3, 4]], "field_poly": [1, 0, 0, 0, -1, 0, 0, 0, 1], "hecke_ring_index_factorization": [[2, 2], [3, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.027", "prec": 17}, {"__RealLiteral__": 0, "data": "7.553", "prec": 17}, {"__RealLiteral__": 0, "data": "1.121", "prec": 17}, {"__RealLiteral__": 0, "data": "474.775", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "45920.967", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c6", "trace_display": [0, 0, 0, 0], "traces": [0, 8, 0, 0, 4, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -4, 0, 0, 24, 0, 0, -24, 0, 0, -16, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -16, 0, 0, -12, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, -24, 0, 0, -8, 0, 0, 40, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 28, 0, 0, -48, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 16, 0, 0, 72, 0, 0, -24, 0, 0, -40, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -8, 0, 0, 12, 0, 0, -8, 0, 0, 24, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -24, 0, 0, -36, 0, 0, -32, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -12, 0, 0, 56, 0, 0, 16, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, -12, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, -24, 0, 0, 132, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -40, 0, 0, 60, 0, 0, 48, 0, 0, 16, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -4, 0, 0, -24, 0, 0, -216, 0, 0, -48, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 60, 0, 0, -60, 0, 0, 56, 0, 0, 36, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 32, 0, 0, -24, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 12, 0, 0, -144, 0, 0, 144, 0, 0, -4, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 16, 0, 0, 24, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -72, 0, 0, -96, 0, 0, 32, 0, 0, 72, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -36, 0, 0, -72, 0, 0, -80, 0, 0, -12, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 40, 0, 0, -36, 0, 0, -48, 0, 0, -72, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 92, 0, 0, 72, 0, 0, -32, 0, 0, 24, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, -16, 0, 0, -28, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 8, 0, 0, 156, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -24, 0, 0, 72, 0, 0, -48, 0, 0, -20, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, -8, 0, 0, -24, 0, 0, -80, 0, 0, 48, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 24, 0, 0, -144, 0, 0, -48, 0, 0, 16, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 36, 0, 0, -12, 0, 0, 192, 0, 0, -16, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 4, 0, 0, 156, 0, 0, 96, 0, 0, 64, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -172, 0, 0, 0, 0, 0, 232, 0, 0, -12, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -72, 0, 0, -36, 0, 0, -16, 0, 0, 36, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 72, 0, 0, -120, 0, 0, 8, 0, 0, 28, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -16, 0, 0, -96, 0, 0, -48, 0, 0, -144, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -40, 0, 0, -72, 0, 0, -144, 0, 0, -72, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 72, 0, 0, 120, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, -124, 0, 0, 72, 0, 0, -304, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 4, 0, 0, 384, 0, 0, -48, 0, 0, -72, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, -24, 0, 0, -24, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 24, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 216, 0, 0, -96, 0, 0, 16, 0, 0, 16, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 12, 0, 0, -48, 0, 0, -96, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 36, 0, 0, 128, 0, 0, 36, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -24, 0, 0, -144, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -112, 0, 0, -192, 0, 0, 416, 0, 0, 12, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, -96, 0, 0, 48, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 104, 0, 0, -84, 0, 0, 280, 0, 0, 12, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 12, 0, 0, -72, 0, 0, -48, 0, 0, -124, 0, 0, 0, 0, 0, 168, 0, 0, 0], "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, 3, 2, -1, 2, 0], [1, 1, 7, 4, -1, 6, 0], [1, 1, 21, 7, 1, 6, 0]], "char_orbit_index": 11, "prim_orbit_index": 7, "minimal_twist": "126.2.k.a", "char_is_minimal": false, "conrey_index": 215, "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, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, -2, 0, 1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 1, 0, 1, 0, 0, -1], [0, 3, 0, -3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, 0, 0, 0, 0, 0], [0, -2, 0, -2, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 1, 0, 0, 0], [0, 2, 0, -1, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -4, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, -1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 2, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, 0, -1, 0, 3, 0, 0, -3], [0, 1, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 4, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, 4, 0, 1, 0, 0, -2], [0, -2, 0, -2, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -1, 0, 1, 0, 0, 0], [0, 8, 0, -4, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 0, -2, 0, 0, 1], [0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1], [0, -2, 0, 4, 0, 1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, -4, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0, 0, 1], [0, 3, 0, -3, 0, -1, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [3, 0, -6, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [3, 0, -3, 0, 1, 0, 0, -2], [0, -1, 0, -1, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, -2, 0, 1, 0, 0, 0], [0, -2, 0, 1, 0, 0, -3, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, -6, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 10, 0, 0, 0, 0, 0], [0, 2, 0, -4, 0, -1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -6, 0, 2, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, 2, 0, 2, 0, 0, -2], [0, 4, 0, -4, 0, 1, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 4, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, -7, 0, -1, 0, 0, 2], [0, 1, 0, 1, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, -4, 0, -2, 0, 0, 0], [0, 2, 0, -1, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, -1], [0, -4, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -3, 0, 0, 0, 0, 0], [0, 6, 0, -12, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -2, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [4, 0, -2, 0, 1, 0, 0, -1], [0, 0, 0, 0, 0, 1, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [5, 0, -10, 0, 0, 0, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [4, 0, -4, 0, -2, 0, 0, 4]]}