# Stored data for newform 5625.2.a.f, downloaded from the LMFDB on 25 April 2024.
{"label": "5625.2.a.f", "space_label": "5625.2.a", "level": 5625, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170412537, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1179357290650944624, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, -1, 1]], [7, [-1, 1, 1]]], "qexp_display": "q+\\beta q^{2}+(-1+\\beta )q^{4}+(-1+\\beta )q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 22500, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 44.91585113697022, "hecke_ring_index": 1, "level_radical": 15, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 10, "field_poly_is_real_cyclotomic": true, "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": "0.017", "prec": 17}, "analytic_rank_proved": true, "char_values": [5625, 1, [4376, 1252], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.062", "prec": 17}, {"__RealLiteral__": 0, "data": "1.881", "prec": 17}, {"__RealLiteral__": 0, "data": "0.266", "prec": 17}, {"__RealLiteral__": 0, "data": "8.664", "prec": 17}, {"__RealLiteral__": 0, "data": "2.281", "prec": 17}, {"__RealLiteral__": 0, "data": "55.602", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1]], "trace_display": [1, 0, 0, -1], "traces": [0, 2, 1, 0, -1, 0, 0, -1, 0, 0, 0, 6, 0, -3, 2, 0, -3, 6, 0, -5, 0, 0, 8, -12, 0, 0, 6, 0, 3, 5, 0, -6, -9, 0, 8, 0, 0, 4, 5, 0, 0, 6, 0, -3, 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