# Stored data for newform 576.8.a.bo, downloaded from the LMFDB on 06 December 2025.
{"Nk2": 36864, "analytic_conductor": 179.93377467885412, "analytic_rank": 0, "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": 184, "field_disc_factorization": [[2, 3], [23, 1]], "field_poly": [-46, 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": 0, "hecke_cutters": [[5, [-96380, -196, 1]], [7, [-890352, -504, 1]], [11, [-3129840, -1656, 1]]], "hecke_orbit": 41, "hecke_orbit_code": 180143985229038144, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 48, "hecke_ring_index_factorization": [[2, 4], [3, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "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.bo", "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": "96.8.a.e", "nf_label": "2.2.184.1", "prim_orbit_index": 1, "qexp_display": "q+(98+\\beta )q^{5}+(252+3\\beta )q^{7}+(828+\\cdots)q^{11}+\\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, 196, 504], "trace_hash": 998720083112961724, "trace_moments": [{"__RealLiteral__": 0, "data": "0.005", "prec": 17}, {"__RealLiteral__": 0, "data": "1.934", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.566", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "66.580", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "traces": [0, 2, 0, 0, 0, 196, 0, 504, 0, 0, 0, 1656, 0, -6156, 0, 0, 0, -17108, 0, 504, 0, 0, 0, -51552, 0, 74926, 0, 0, 0, -199804, 0, 257256, 0, 0, 0, 685296, 0, 468724, 0, 0, 0, 106940, 0, -1617336, 0, 0, 0, -646416, 0, 387634, 0, 0, 0, 1469492, 0, 1434096, 0, 0, 0, 4541544, 0, 481412, 0, 0, 0, -1027224, 0, -4775256, 0, 0, 0, 1094400, 0, -5731884, 0, 0, 0, 4232736, 0, -10402776, 0, 0, 0, 2212200, 0, 11465432, 0, 0, 0, 3604364, 0, -2823120, 0, 0, 0, 29300976, 0, -7156188, 0, 0, 0, 2821972, 0, -31945176, 0, 0, 0, 643752, 0, 13495572, 0, 0, 0, -29450500, 0, -6323904, 0, 0, 0, 35114832, 0, -29972326, 0, 0, 0, 33575976, 0, -35246088, 0, 0, 0, 9504216, 0, 87881760, 0, 0, 0, 3328348, 0, 1604088, 0, 0, 0, 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