# Stored data for newform 1840.4.a.v, downloaded from the LMFDB on 28 March 2024. {"label": "1840.4.a.v", "space_label": "1840.4.a", "level": 1840, "weight": 4, "hecke_orbit": 22, "hecke_orbit_code": 94575592241891120, "dim": 8, "is_polredabs": true, "trace_hash": 2300000308503738970, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [3520, -191280, -137140, 15441, 10290, -165, -187, 0, 1]], [7, [-9289584128, -2135252960, -76746972, 12717810, 783793, -22539, -1752, 11, 1]]], "qexp_display": "q+\\beta _{3}q^{3}+5q^{5}+(-1+\\beta _{3}+\\beta _{6})q^{7}+\\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": 32, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [1840, 1, [1151, 1381, 737, 1201], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 5, 23], "conrey_indexes": [1], "field_disc": 1146383930090851814700, "field_disc_factorization": [[2, 2], [3, 3], [5, 2], [13, 1], [11423, 1], [94331, 1], [30310169, 1]], "field_poly": [2400, -620, -2892, 249, 750, 31, -49, -2, 1], "hecke_ring_index_factorization": [[2, 5]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.085", "prec": 17}, {"__RealLiteral__": 0, "data": "7.211", "prec": 17}, {"__RealLiteral__": 0, "data": "0.562", "prec": 17}, {"__RealLiteral__": 0, "data": "147.863", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4783.872", "prec": 27}], "related_objects": [], 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