# Stored data for newform 4923.2.a.l, downloaded from the LMFDB on 23 April 2024. {"label": "4923.2.a.l", "space_label": "4923.2.a", "level": 4923, "weight": 2, "hecke_orbit": 12, "hecke_orbit_code": 49539595934634811, "dim": 18, "is_polredabs": true, "trace_hash": 2302100865726421687, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [328, -654, -1851, 3834, 4048, -9021, -4274, 11068, 2068, -7703, -137, 3104, -282, -708, 116, 84, -18, -4, 1]], [11, [-82432, -843423, 3523832, 5528150, -23371203, 7534045, 18625653, -6865320, -6381183, 1787123, 1134032, -191844, -104309, 9574, 4921, -224, -113, 2, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+(2+\\beta _{3})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 19692, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 39.310352915076336, "hecke_ring_index": 1, "level_radical": 1641, "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": "0.007", "prec": 17}, "analytic_rank_proved": true, "char_values": [4923, 1, [2189, 2737], [1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [3, 547], "conrey_indexes": [1], "field_disc": 4823953520258511866105904755849, "field_disc_factorization": [[7, 1], [73, 1], [16097, 1], [43781, 1], [146768003, 1], [91268351929, 1]], "field_poly": [328, -654, -1851, 3834, 4048, -9021, -4274, 11068, 2068, -7703, -137, 3104, -282, -708, 116, 84, -18, -4, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.332", "prec": 17}, {"__RealLiteral__": 0, "data": "15.181", "prec": 20}, {"__RealLiteral__": 0, "data": "21.887", "prec": 20}, {"__RealLiteral__": 0, "data": "738.710", "prec": 24}, {"__RealLiteral__": 0, "data": "2171.958", "prec": 27}, {"__RealLiteral__": 0, "data": "64783.359", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 18, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [547, 1]], "trace_display": [4, 0, 27, -11], "traces": [0, 18, 4, 0, 16, 27, 0, -11, 12, 0, -5, -2, 0, -25, 7, 0, 8, 30, 0, 4, 41, 0, -24, 26, 0, 31, 18, 0, -16, 18, 0, -5, 28, 0, 5, 9, 0, -18, 45, 0, 7, 17, 0, 8, -12, 0, 30, 52, 0, 29, -13, 0, -14, 60, 0, 11, -7, 0, 14, 8, 0, -26, -4, 0, 44, 6, 0, 12, 61, 0, 35, 1, 0, -2, -16, 0, 66, 73, 0, 18, 32, 0, 44, 43, 0, 51, -4, 0, -17, 28, 0, -1, 68, 0, 78, 18, 0, -34, -34, 0, 117, 65, 0, -36, -11, 0, 56, 18, 0, 5, -67, 0, 25, 43, 0, 76, -37, 0, 48, -44, 0, 32, -36, 0, 22, 102, 0, 38, 32, 0, 81, -14, 0, -29, -42, 0, 63, 17, 0, 38, -83, 0, 11, 7, 0, 45, 38, 0, -24, 51, 0, 40, 56, 0, 11, -34, 0, -89, 23, 0, 9, 9, 0, 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