# Stored data for newform 294.4.a.b, downloaded from the LMFDB on 19 April 2024.
{"label": "294.4.a.b", "space_label": "294.4.a", "level": 294, "weight": 4, "hecke_orbit": 2, "hecke_orbit_code": 4503599694479654, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 853792459074639261, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [8, 1]], [11, [-40, 1]]], "qexp_display": "q-2q^{2}-3q^{3}+4q^{4}-8q^{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": 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": [294, 1, [197, 199], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 7], "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": "0.982", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.940", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.831", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [7, -1]], "trace_display": [-2, -3, -8, 0], "traces": [0, 1, -2, -3, 4, -8, 6, 0, -8, 9, 16, 40, -12, -4, 0, 24, 16, 84, -18, -148, -32, 0, -80, 84, 24, -61, 8, -27, 0, 58, -48, 136, -32, -120, -168, 0, 36, -222, 296, 12, 64, 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