# Stored data for newform 704.6.a.j, downloaded from the LMFDB on 24 April 2024.
{"label": "704.6.a.j", "space_label": "704.6.a", "level": 704, "weight": 6, "hecke_orbit": 10, "hecke_orbit_code": 40532396746998464, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1340516042397519915, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-29, 1]]], "qexp_display": "q+29q^{3}+31q^{5}-230q^{7}+598q^{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": "0.970", "prec": 17}, {"__RealLiteral__": 0, "data": "0.031", "prec": 17}, {"__RealLiteral__": 0, "data": "1.915", "prec": 17}, {"__RealLiteral__": 0, "data": "0.151", "prec": 17}, {"__RealLiteral__": 0, "data": "4.785", "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, 29, 31, -230], "traces": [0, 1, 0, 29, 0, 31, 0, -230, 0, 598, 0, -121, 0, -112, 0, 899, 0, -1142, 0, 612, 0, -6670, 0, -1941, 0, -2164, 0, 10295, 0, -1192, 0, -1037, 0, -3509, 0, -7130, 0, -8083, 0, -3248, 0, -10444, 0, 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