# Stored data for newform 576.8.a.bi, downloaded from the LMFDB on 05 November 2024.
{"Nk2": 36864, "analytic_conductor": 179.93377467885412, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, 1]], "atkin_lehner_string": "-+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [576, 1, [127, 325, 65], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 40, "field_disc_factorization": [[2, 3], [5, 1]], "field_poly": [-10, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 1, "hecke_cutters": [[5, [-92160, 0, 1]], [7, [260, 1]], [11, [-36864000, 0, 1]]], "hecke_orbit": 35, "hecke_orbit_code": 153122387464815168, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 96, "hecke_ring_index_factorization": [[2, 5], [3, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "576.8.a.bi", "level": 576, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [2, 3], "level_radical": 6, "minimal_twist": "9.8.a.b", "nf_label": "2.2.40.1", "prim_orbit_index": 1, "qexp_display": "q+\\beta q^{5}-260q^{7}-20\\beta q^{11}-6890q^{13}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "7.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "576.8.a", "trace_display": [0, 0, 0, -520], "trace_hash": 2201308618665824039, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.921", "prec": 17}, 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