# Stored data for newform 8.22.a.b, downloaded from the LMFDB on 20 April 2025.
{"Nk2": 3872, "analytic_conductor": 22.358187542964966, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1]], "atkin_lehner_string": "-", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [8, 1, [7, 5], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 6878154568, "field_disc_factorization": [[2, 3], [859769321, 1]], "field_poly": [96223, -4963, -1, 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": [[3, [-156439878638400, -20431242576, -96764, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4503599996469256, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 220200960, "hecke_ring_index_factorization": [[2, 21], [3, 1], [5, 1], [7, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "8.22.a.b", "level": 8, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": true, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2], "level_radical": 2, "minimal_twist": "8.22.a.b", "prim_orbit_index": 1, "qexp_display": "q+(32255-\\beta _{1})q^{3}+(-8037261+9\\beta _{1}+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "21.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "8.22.a", "trace_display": [0, 96764, -24111774, 295988280], "trace_hash": 1362000828246730728, "trace_moments": [{"__RealLiteral__": 0, "data": "0.060", "prec": 17}, {"__RealLiteral__": 0, "data": "2.869", "prec": 17}, 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