# Stored data for newform 4025.2.a.s, downloaded from the LMFDB on 25 April 2024.
{"label": "4025.2.a.s", "space_label": "4025.2.a", "level": 4025, "weight": 2, "hecke_orbit": 19, "hecke_orbit_code": 81064793326227385, "dim": 8, "is_polredabs": true, "trace_hash": 1606855176603582159, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [7, -17, -12, 34, 12, -19, -6, 3, 1]], [3, [-19, -61, -23, 59, 31, -19, -10, 2, 1]], [11, [-71, -384, 98, 444, 61, -97, -18, 5, 1]]], "qexp_display": "q-\\beta _{1}q^{2}-\\beta _{3}q^{3}+(\\beta _{1}+\\beta _{2})q^{4}+(\\beta _{6}+\\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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [4025, 1, [2577, 1151, 3501], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 7, 23], "conrey_indexes": [1], "field_disc": 45731377421, "field_disc_factorization": [[29, 2], [54377381, 1]], "field_poly": [7, 17, -12, -34, 12, 19, -6, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6.759", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "142.072", "prec": 24}, {"__RealLiteral__": 0, "data": "127.598", "prec": 24}, {"__RealLiteral__": 0, "data": "5297.630", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [7, -1], [23, 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