# Stored data for newform 1840.4.a.i, downloaded from the LMFDB on 24 April 2024.
{"label": "1840.4.a.i", "space_label": "1840.4.a", "level": 1840, "weight": 4, "hecke_orbit": 9, "hecke_orbit_code": 36028797086074672, "dim": 2, "is_polredabs": true, "nf_label": "2.2.73.1", "trace_hash": 1126812867341980303, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-16, -3, 1]], [7, [54, -17, 1]]], "qexp_display": "q+(1+\\beta )q^{3}+5q^{5}+(8+\\beta )q^{7}+(-8+\\cdots)q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 29440, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 108.56351441056273, "hecke_ring_index": 1, "level_radical": 230, "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": [1840, 1, [1151, 1381, 737, 1201], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 23], "conrey_indexes": [1], "field_disc": 73, "field_disc_factorization": [[73, 1]], "field_poly": [-18, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.953", "prec": 17}, {"__RealLiteral__": 0, "data": "0.042", "prec": 17}, {"__RealLiteral__": 0, "data": "9.582", "prec": 17}, {"__RealLiteral__": 0, "data": "1.467", "prec": 17}, {"__RealLiteral__": 0, "data": "67.588", "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], [5, -1], [23, -1]], "trace_display": [0, 3, 10, 17], "traces": [0, 2, 0, 3, 0, 10, 0, 17, 0, -13, 0, -18, 0, -9, 0, 15, 0, -79, 0, -34, 0, 62, 0, 46, 0, 50, 0, 9, 0, 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