# Stored data for newform 2475.2.a.w, downloaded from the LMFDB on 19 April 2024.
{"label": "2475.2.a.w", "space_label": "2475.2.a", "level": 2475, "weight": 2, "hecke_orbit": 23, "hecke_orbit_code": 99079191835707819, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 974878801523996648, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, -2, 1]], [7, [-1, -2, 1]], [29, [8, 8, 1]]], "qexp_display": "q+(1+\\beta )q^{2}+(1+2\\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": 9900, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 19.762974500266896, "hecke_ring_index": 1, "level_radical": 165, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 8, "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": "0.029", "prec": 17}, "analytic_rank_proved": true, "char_values": [2475, 1, [551, 2377, 2026], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 11], "conrey_indexes": [1], "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.033", "prec": 17}, {"__RealLiteral__": 0, "data": "1.926", "prec": 17}, {"__RealLiteral__": 0, "data": "0.239", "prec": 17}, {"__RealLiteral__": 0, "data": "9.182", "prec": 17}, {"__RealLiteral__": 0, "data": "1.672", "prec": 17}, {"__RealLiteral__": 0, "data": "61.774", "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], [11, -1]], "trace_display": [2, 0, 0, 2], "traces": [0, 2, 2, 0, 2, 0, 0, 2, 6, 0, 0, 2, 0, 0, -2, 0, 6, 2, 0, 10, 0, 0, 2, 2, 0, 0, 8, 0, -6, -8, 0, 0, -6, 0, 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