# Stored data for newform 400.10.a.l, downloaded from the LMFDB on 24 April 2024.
{"label": "400.10.a.l", "space_label": "400.10.a", "level": 400, "weight": 10, "hecke_orbit": 12, "hecke_orbit_code": 49539596068848016, "dim": 2, "is_polredabs": true, "nf_label": "2.2.316.1", "trace_hash": 2202762185590568183, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-3324, 260, 1]]], "qexp_display": "q+(-130+\\beta )q^{3}+(-190+69\\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": 40000, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 206.01433446554924, "hecke_ring_index": 16, "level_radical": 10, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [400, 1, [351, 101, 177], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5], "conrey_indexes": [1], "field_disc": 316, "field_disc_factorization": [[2, 2], [79, 1]], "field_poly": [-79, 0, 1], "hecke_ring_index_factorization": [[2, 4]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.961", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.257", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "60.185", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "9.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1]], "trace_display": [0, -260, 0, -380], "traces": [0, 2, 0, -260, 0, 0, 0, -380, 0, 34882, 0, -102720, 0, -179140, 0, 0, 0, -316020, 0, -137272, 0, 2840312, 0, -665460, 0, 0, 0, -9933560, 0, 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