# Stored data for newform 5625.2.a.s, downloaded from the LMFDB on 18 April 2024.
{"label": "5625.2.a.s", "space_label": "5625.2.a", "level": 5625, "weight": 2, "hecke_orbit": 19, "hecke_orbit_code": 81064793326228985, "dim": 8, "is_polredabs": true, "nf_label": "8.8.6152203125.1", "trace_hash": 713865843297617140, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-9, 0, 69, 60, -29, -35, -1, 5, 1]], [7, [1, -45, 124, 25, -154, 35, 24, -10, 1]]], "qexp_display": "q+(-1+\\beta _{1})q^{2}+(2-\\beta _{1}+\\beta _{2})q^{4}+\\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": 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": "0.026", "prec": 17}, "analytic_rank_proved": true, "char_values": [5625, 1, [4376, 1252], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [3, 5], "conrey_indexes": [1], "field_disc": 6152203125, "field_disc_factorization": [[3, 4], [5, 6], [4861, 1]], "field_poly": [1, 16, -27, -35, 26, 20, -8, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7.347", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "143.193", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4199.004", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, -1]], "trace_display": [-5, 0, 0, 10], "traces": [0, 8, -5, 0, 11, 0, 0, 10, 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