# Stored data for newform 704.6.a.i, downloaded from the LMFDB on 23 April 2024.
{"label": "704.6.a.i", "space_label": "704.6.a", "level": 704, "weight": 6, "hecke_orbit": 9, "hecke_orbit_code": 36028797119627968, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 858826306695586502, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-21, 1]]], "qexp_display": "q+21q^{3}-3^{4}q^{5}+98q^{7}+198q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 25344, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 112.91020914833837, "hecke_ring_index": 1, "level_radical": 22, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [704, 1, [639, 133, 321], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 11], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.013", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.045", "prec": 17}, {"__RealLiteral__": 0, "data": "0.010", "prec": 17}, {"__RealLiteral__": 0, "data": "5.152", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [11, 1]], "trace_display": [0, 21, -81, 98], "traces": [0, 1, 0, 21, 0, -81, 0, 98, 0, 198, 0, -121, 0, -824, 0, -1701, 0, 978, 0, 2140, 0, 2058, 0, 3699, 0, 3436, 0, -945, 0, -3480, 0, -7813, 0, -2541, 0, -7938, 0, 13597, 0, -17304, 0, 6492, 0, 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