# Stored data for newform 2025.2.a.z, downloaded from the LMFDB on 25 April 2024.
{"label": "2025.2.a.z", "space_label": "2025.2.a", "level": 2025, "weight": 2, "hecke_orbit": 26, "hecke_orbit_code": 112589990717818857, "dim": 4, "is_polredabs": true, "nf_label": "4.4.11661.1", "trace_hash": 79862399525502739, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [3, 5, -4, -2, 1]], [7, [-9, 24, -12, -1, 1]], [11, [-9, -41, -25, -1, 1]]], "qexp_display": "q+(1-\\beta _{1})q^{2}+(2-\\beta _{1}+\\beta _{2})q^{4}+(1+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8100, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 16.169706409309278, "hecke_ring_index": 1, "level_radical": 15, "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": [2025, 1, [326, 1702], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5], "conrey_indexes": [1], "field_disc": 11661, "field_disc_factorization": [[3, 1], [13, 2], [23, 1]], "field_poly": [3, 5, -4, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.008", "prec": 17}, {"__RealLiteral__": 0, "data": "3.861", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "40.672", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "690.339", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1]], "trace_display": [2, 0, 0, 1], "traces": [0, 4, 2, 0, 4, 0, 0, 1, 9, 0, 0, 1, 0, -2, 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