# Stored data for newform 225.6.a.u, downloaded from the LMFDB on 25 April 2024.
{"label": "225.6.a.u", "space_label": "225.6.a", "level": 225, "weight": 6, "hecke_orbit": 21, "hecke_orbit_code": 90071992648073441, "dim": 2, "is_polredabs": true, "nf_label": "2.2.89.1", "trace_hash": 132950333016920335, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-2, -9, 1]], [7, [-9900, 108, 1]]], "qexp_display": "q+(5-\\beta )q^{2}+(15-9\\beta )q^{4}+(-66+24\\beta )q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8100, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 36.08635945792064, "hecke_ring_index": 1, "level_radical": 15, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [225, 1, [101, 127], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5], "conrey_indexes": [1], "field_disc": 89, "field_disc_factorization": [[89, 1]], "field_poly": [-22, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "1.924", "prec": 17}, {"__RealLiteral__": 0, "data": "0.350", "prec": 17}, {"__RealLiteral__": 0, "data": "9.291", "prec": 17}, {"__RealLiteral__": 0, "data": "3.319", "prec": 17}, {"__RealLiteral__": 0, "data": "62.527", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, -1]], "trace_display": [9, 0, 0, -108], "traces": [0, 2, 9, 0, 21, 0, 0, -108, 207, 0, 0, -168, 0, -1296, -1554, 0, 1105, 576, 0, -1336, 0, 0, -5562, 5904, 0, 0, -2094, 0, -10746, 3552, 0, 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