# Stored data for newform 5625.2.a.i, downloaded from the LMFDB on 18 April 2024.
{"label": "5625.2.a.i", "space_label": "5625.2.a", "level": 5625, "weight": 2, "hecke_orbit": 9, "hecke_orbit_code": 36028797052524025, "dim": 4, "is_polredabs": true, "nf_label": "4.4.5125.1", "trace_hash": 1237321850433547630, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [11, -7, -6, 2, 1]], [7, [-9, 27, -16, -2, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(2+\\beta _{1}+\\beta _{2})q^{4}+(-1+\\beta _{1}+\\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": 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": "0.007", "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": 5125, "field_disc_factorization": [[5, 3], [41, 1]], "field_poly": [11, 7, -6, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.018", "prec": 17}, {"__RealLiteral__": 0, "data": "3.801", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "39.000", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "617.402", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1]], "trace_display": [-2, 0, 0, 2], "traces": [0, 4, -2, 0, 8, 0, 0, 2, -15, 0, 0, 7, 0, 1, -16, 0, 4, -2, 0, 5, 0, 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