# Stored data for newform 43.10.a.a, downloaded from the LMFDB on 16 April 2024.
{"label": "43.10.a.a", "space_label": "43.10.a", "level": 43, "weight": 10, "hecke_orbit": 1, "hecke_orbit_code": 167772203, "dim": 15, "is_polredabs": false, "trace_hash": 1084103042587602424, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [9972342953111715840, 8716693942319579136, 1816851287739662336, 389857664548864, -22534802024577024, -667905460591104, 103575915851008, 3669969902912, -232672713184, -8326611176, 269722200, 9265782, -151570, -4949, 32, 1]]], "qexp_display": "q+(-2-\\beta _{1})q^{2}+(-21-\\beta _{2})q^{3}+(6^{3}+\\cdots)q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4300, "fricke_eigenval": 1, "atkin_lehner_string": "+", "analytic_conductor": 22.146540955046543, "hecke_ring_index": 9216, "level_radical": 43, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": false, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": 0, "analytic_rank_proved": true, "char_values": [43, 1, [3], [1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [43], "conrey_indexes": [1], "field_poly": [529838441422848000, 2103623681144094720, -1349125586394823680, 139803541742443008, 10892588268404224, -1516975415483904, -32493903147264, 5986976782464, 47465836576, -11474166224, -37600244, 11288030, 14888, -5425, -2, 1], "hecke_ring_index_factorization": [[2, 10], [3, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.938", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "458.118", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "31347.715", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], 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