# Stored data for newform 225.10.a.s, downloaded from the LMFDB on 29 March 2024. {"label": "225.10.a.s", "space_label": "225.10.a", "level": 225, "weight": 10, "hecke_orbit": 19, "hecke_orbit_code": 81064793460441313, "dim": 4, "is_polredabs": true, "nf_label": "4.4.49740556.1", "trace_hash": 1188298664931434801, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1216, 0, -1708, 0, 1]], [7, [2144749073480496, 0, -104167728, 0, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(342-\\beta _{3})q^{4}+(133\\beta _{1}-7^{2}\\beta _{2}+\\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": 22500, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 115.88306313687146, "hecke_ring_index": 7200, "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": "0.508", "prec": 17}, "analytic_rank_proved": true, "char_values": [225, 1, [101, 127], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 2, "level_primes": [3, 5], "conrey_indexes": [1], "field_disc": 49740556, "field_disc_factorization": [[2, 2], [19, 1], [809, 2]], "field_poly": [304, 0, -45, 0, 1], "hecke_ring_index_factorization": [[2, 5], [3, 2], [5, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.012", "prec": 17}, {"__RealLiteral__": 0, "data": "3.842", "prec": 17}, {"__RealLiteral__": 0, "data": "0.146", "prec": 17}, {"__RealLiteral__": 0, "data": "73.845", "prec": 20}, {"__RealLiteral__": 0, "data": "17.098", "prec": 20}, {"__RealLiteral__": 0, "data": "2041.127", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "9.2.3.c1", 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