# Stored data for newform 1680.4.a.s, downloaded from the LMFDB on 23 April 2024.
{"label": "1680.4.a.s", "space_label": "1680.4.a", "level": 1680, "weight": 4, "hecke_orbit": 19, "hecke_orbit_code": 81064793359779472, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1753328847705944982, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[11, [42, 1]], [13, [-20, 1]], [17, [-66, 1]]], "qexp_display": "q+3q^{3}+5q^{5}-7q^{7}+9q^{9}-42q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 26880, "fricke_eigenval": -1, "atkin_lehner_string": "---+", "analytic_conductor": 99.12320880964423, "hecke_ring_index": 1, "level_radical": 210, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [1680, 1, [1471, 421, 1121, 337, 241], [1, 1, 1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.963", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.920", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.853", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, -1], [7, 1]], "trace_display": [0, 3, 5, -7], "traces": [0, 1, 0, 3, 0, 5, 0, -7, 0, 9, 0, -42, 0, 20, 0, 15, 0, 66, 0, -38, 0, -21, 0, -12, 0, 25, 0, 27, 0, -258, 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