# Stored data for newform 1078.2.a.x, downloaded from the LMFDB on 19 April 2024.
{"label": "1078.2.a.x", "space_label": "1078.2.a", "level": 1078, "weight": 2, "hecke_orbit": 24, "hecke_orbit_code": 103582791463076918, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 1977003477644407508, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-1, -2, 1]], [5, [2, -4, 1]], [13, [-7, -2, 1]]], "qexp_display": "q+q^{2}+(1+\\beta )q^{3}+q^{4}+(2-\\beta )q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4312, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 8.607873337894025, "hecke_ring_index": 1, "level_radical": 154, "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": "0.023", "prec": 17}, "analytic_rank_proved": true, "char_values": [1078, 1, [199, 981], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 7, 11], "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": "0.020", "prec": 17}, {"__RealLiteral__": 0, "data": "1.935", "prec": 17}, {"__RealLiteral__": 0, "data": "0.005", "prec": 17}, {"__RealLiteral__": 0, "data": "9.414", "prec": 17}, {"__RealLiteral__": 0, "data": "0.344", "prec": 17}, {"__RealLiteral__": 0, "data": "64.803", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [7, -1], [11, -1]], "trace_display": [2, 2, 4, 0], "traces": [0, 2, 2, 2, 2, 4, 2, 0, 2, 0, 4, 2, 2, 2, 0, 0, 2, 4, 0, 4, 4, 0, 2, -4, 2, 2, 2, 2, 0, -6, 0, 8, 2, 2, 4, 0, 0, -16, 4, 10, 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