# Stored data for newform 1680.4.a.y, downloaded from the LMFDB on 12 May 2024. {"label": "1680.4.a.y", "space_label": "1680.4.a", "level": 1680, "weight": 4, "hecke_orbit": 25, "hecke_orbit_code": 108086391124002448, "dim": 2, "is_polredabs": true, "nf_label": "2.2.41.1", "trace_hash": 744361076899095194, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[11, [920, 62, 1]], [13, [-1016, 6, 1]], [17, [-1076, -40, 1]]], "qexp_display": "q-3q^{3}-5q^{5}-7q^{7}+9q^{9}+(-31+\\cdots)q^{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": 2, "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": 11, "inner_twist_count": 1, "level_primes": [2, 3, 5, 7], "conrey_indexes": [1], "field_disc": 41, "field_disc_factorization": [[41, 1]], "field_poly": [-10, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.927", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.374", "prec": 17}, {"__RealLiteral__": 0, "data": "0.026", "prec": 17}, {"__RealLiteral__": 0, "data": "64.333", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [5, 1], [7, 1]], "trace_display": [0, -6, 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