# Stored data for newform 294.4.a.o, downloaded from the LMFDB on 23 April 2024.
{"label": "294.4.a.o", "space_label": "294.4.a", "level": 294, "weight": 4, "hecke_orbit": 15, "hecke_orbit_code": 63050394850296102, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 1086866603583461797, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [34, -12, 1]], [11, [-68, -4, 1]]], "qexp_display": "q+2q^{2}+3q^{3}+4q^{4}+(6+\\beta )q^{5}+6q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4704, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 17.34656154168774, "hecke_ring_index": 1, "level_radical": 42, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 8, "field_poly_is_real_cyclotomic": true, "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": [294, 1, [197, 199], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 7], "conrey_indexes": [1], "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.011", "prec": 17}, {"__RealLiteral__": 0, "data": "1.895", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.544", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "54.290", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [7, 1]], "trace_display": [4, 6, 12, 0], "traces": [0, 2, 4, 6, 8, 12, 12, 0, 16, 18, 24, 4, 24, 48, 0, 36, 32, 132, 36, 120, 48, 0, 8, -76, 48, -174, 96, 54, 0, -112, 72, 432, 64, 12, 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