# Stored data for newform 1078.6.a.f, downloaded from the LMFDB on 20 April 2024.
{"label": "1078.6.a.f", "space_label": "1078.6.a", "level": 1078, "weight": 6, "hecke_orbit": 6, "hecke_orbit_code": 22517998237516854, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1597829757112554711, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-29, 1]]], "qexp_display": "q+4q^{2}+29q^{3}+2^{4}q^{4}+31q^{5}+116q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 38808, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 172.89375775839312, "hecke_ring_index": 1, "level_radical": 154, "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": [1078, 1, [199, 981], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 7, 11], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.018", "prec": 17}, {"__RealLiteral__": 0, "data": "0.967", "prec": 17}, {"__RealLiteral__": 0, "data": "0.058", "prec": 17}, {"__RealLiteral__": 0, "data": "1.905", "prec": 17}, {"__RealLiteral__": 0, "data": "0.230", "prec": 17}, {"__RealLiteral__": 0, "data": "4.755", "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], [7, -1], [11, -1]], "trace_display": [4, 29, 31, 0], "traces": [0, 1, 4, 29, 16, 31, 116, 0, 64, 598, 124, 121, 464, -112, 0, 899, 256, 1142, 2392, 612, 496, 0, 484, -1941, 1856, -2164, -448, 10295, 0, 1192, 3596, 1037, 1024, 3509, 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