# Stored data for newform 525.2.i.e, downloaded from the LMFDB on 29 March 2024. {"label": "525.2.i.e", "space_label": "525.2.i", "level": 525, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18014948298850829, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1885820376900849108, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [4, -2, 1]]], "qexp_display": "q+2\\zeta_{6}q^{2}+(1-\\zeta_{6})q^{3}+(-2+2\\zeta_{6})q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "i", "char_is_real": false, "Nk2": 2100, "analytic_conductor": 4.19214610611722, "hecke_ring_index": 1, "level_radical": 105, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 6, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "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": [525, 3, [176, 127, 451], [3, 3, 2]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 2, "level_primes": [3, 5, 7], "conrey_indexes": [151, 226], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.009", "prec": 17}, {"__RealLiteral__": 0, "data": "1.958", "prec": 17}, {"__RealLiteral__": 0, "data": "0.190", "prec": 17}, {"__RealLiteral__": 0, "data": "11.410", "prec": 20}, {"__RealLiteral__": 0, "data": "2.359", "prec": 17}, {"__RealLiteral__": 0, "data": "102.340", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [2, 1, 0, 5], "traces": [0, 2, 2, 1, -2, 0, 4, 5, 0, -1, 0, 2, 2, -2, 2, 0, 4, 0, 2, -1, 0, 4, 8, 0, 0, 0, -2, -2, -8, 8, 0, -9, -8, -2, 0, 0, 4, 3, 2, -1, 0, -20, 10, -10, 4, 0, 0, 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[-2, 0], [0, 1], [0, 0], [-1, 1], [0, -20], [-6, 0], [-2, 6], [0, 0], [0, -10], [4, -4], [0, 0], [0, -16], [0, 0], [-2, -1], [0, 0], [0, 9], [12, -12], [0, 0], [0, 8], [6, 0], [-10, 16], [-2, 0], [0, 0]]}