# Stored data for newform 1856.4.a.c, downloaded from the LMFDB on 24 April 2024.
{"label": "1856.4.a.c", "space_label": "1856.4.a", "level": 1856, "weight": 4, "hecke_orbit": 3, "hecke_orbit_code": 9007199321851712, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1384679700821749203, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [7, 1]], [5, [-15, 1]], [7, [-18, 1]]], "qexp_display": "q-7q^{3}+15q^{5}+18q^{7}+22q^{9}+3^{3}q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 29696, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 109.50754497065458, "hecke_ring_index": 1, "level_radical": 58, "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": [1856, 1, [639, 581, 321], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 29], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.014", "prec": 17}, {"__RealLiteral__": 0, "data": "0.982", "prec": 17}, {"__RealLiteral__": 0, "data": "0.042", "prec": 17}, {"__RealLiteral__": 0, "data": "1.924", "prec": 17}, {"__RealLiteral__": 0, "data": "0.107", "prec": 17}, {"__RealLiteral__": 0, "data": "4.723", "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], [29, -1]], "trace_display": [0, -7, 15, 18], "traces": [0, 1, 0, -7, 0, 15, 0, 18, 0, 22, 0, 27, 0, 57, 0, -105, 0, -44, 0, 152, 0, -126, 0, 152, 0, 100, 0, 35, 0, 29, 0, 173, 0, -189, 0, 270, 0, 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