# Stored data for newform 225.6.a.r, downloaded from the LMFDB on 19 April 2024.
{"label": "225.6.a.r", "space_label": "225.6.a", "level": 225, "weight": 6, "hecke_orbit": 18, "hecke_orbit_code": 76561193765961953, "dim": 2, "is_polredabs": true, "nf_label": "2.2.145.1", "trace_hash": 476528371275964505, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-30, -5, 1]], [7, [-12900, 80, 1]]], "qexp_display": "q+(3-\\beta )q^{2}+(13-5\\beta )q^{4}+(-50+20\\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": 145, "field_disc_factorization": [[5, 1], [29, 1]], "field_poly": [-36, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.958", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.341", "prec": 17}, {"__RealLiteral__": 0, "data": "0.165", "prec": 17}, {"__RealLiteral__": 0, "data": "61.936", "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": [5, 0, 0, -80], "traces": [0, 2, 5, 0, 21, 0, 0, -80, 255, 0, 0, -800, 0, 120, -1650, 0, -687, 1940, 0, -1512, 0, 0, -550, -1320, 0, 0, 6100, 0, -8090, -1300, 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