# Stored data for newform 25.10.a.b, downloaded from the LMFDB on 19 April 2024.
{"label": "25.10.a.b", "space_label": "25.10.a", "level": 25, "weight": 10, "hecke_orbit": 2, "hecke_orbit_code": 4503599795142681, "dim": 2, "is_polredabs": true, "nf_label": "2.2.1009.1", "trace_hash": 1456537514911800228, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-984, -10, 1]]], "qexp_display": "q+(5-\\beta )q^{2}+(-130+2\\beta )q^{3}+(522+\\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": 2500, "fricke_eigenval": 1, "atkin_lehner_string": "+", "analytic_conductor": 12.875895904096827, "hecke_ring_index": 2, "level_radical": 5, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [25, 1, [2], [1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5], "conrey_indexes": [1], "field_disc": 1009, "field_disc_factorization": [[1009, 1]], "field_poly": [-252, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.948", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.453", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "64.379", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "9.2.3.c1", "atkin_lehner_eigenvals": [[5, 1]], "trace_display": [10, -260, 0, -1700], "traces": [0, 2, 10, -260, 1044, 0, -5336, -1700, 20280, 2506, 0, 23984, -176080, -115020, -440352, 0, -312048, -412820, 1061890, -296520, 0, 1084704, -3714280, 1049220, -2878560, 0, 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