# Stored data for newform 4025.2.a.x, downloaded from the LMFDB on 20 April 2024.
{"label": "4025.2.a.x", "space_label": "4025.2.a", "level": 4025, "weight": 2, "hecke_orbit": 24, "hecke_orbit_code": 103582791463079865, "dim": 12, "is_polredabs": true, "trace_hash": 654819595908814656, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [17, -58, -81, 210, 170, -244, -162, 120, 71, -26, -14, 2, 1]], [3, [-8, 60, 75, -672, 669, 372, -581, -68, 174, 4, -22, 0, 1]], [11, [-7392, -28480, 21040, 45752, -6026, -19422, 3, 3456, 188, -274, -25, 8, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+\\beta _{6}q^{3}+(1+\\beta _{2})q^{4}+(-1+\\cdots)q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16100, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 32.13978681356535, "hecke_ring_index": 1, "level_radical": 805, "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": "0.006", "prec": 17}, "analytic_rank_proved": true, "char_values": [4025, 1, [2577, 1151, 3501], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [5, 7, 23], "conrey_indexes": [1], "field_disc": 18351441299517730816, "field_disc_factorization": [[2, 12], [12277, 1], [312757, 1], [1166839, 1]], "field_poly": [17, 58, -81, -210, 170, 244, -162, -120, 71, 26, -14, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.187", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "281.643", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "13092.858", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], 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