# Stored data for newform 864.6.a.o, downloaded from the LMFDB on 18 May 2024.
{"label": "864.6.a.o", "space_label": "864.6.a", "level": 864, "weight": 6, "hecke_orbit": 15, "hecke_orbit_code": 63050394883851104, "dim": 6, "is_polredabs": true, "trace_hash": 1352172212793460519, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-20861166313, 0, 25297347, 0, -9435, 0, 1]], [7, [-18784337377, 0, 623992563, 0, -67731, 0, 1]], [11, [-71232539, -363573, 231, 1]]], "qexp_display": "q+\\beta _{1}q^{5}-\\beta _{3}q^{7}+(-77-\\beta _{2})q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 31104, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 138.57162031841526, "hecke_ring_index": 23887872, "level_radical": 6, "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": "0.506", "prec": 17}, "analytic_rank_proved": true, "char_values": [864, 1, [703, 325, 353], [1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 2, "level_primes": [2, 3], "conrey_indexes": [1], "field_disc": 2142883772537872, "field_disc_factorization": [[2, 4], [7, 4], [13, 1], [61, 1], [8387, 2]], "field_poly": [-384, -3193, 1345, 1126, -286, -1, 1], "hecke_ring_index_factorization": [[2, 15], [3, 6]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.116", "prec": 17}, {"__RealLiteral__": 0, "data": "5.582", "prec": 17}, {"__RealLiteral__": 0, "data": "4.535", "prec": 17}, {"__RealLiteral__": 0, "data": "162.775", "prec": 24}, {"__RealLiteral__": 0, "data": "131.777", "prec": 24}, {"__RealLiteral__": 0, "data": "6698.524", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 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