# Stored data for newform 9800.2.a.cy, downloaded from the LMFDB on 29 March 2024. {"label": "9800.2.a.cy", "space_label": "9800.2.a", "level": 9800, "weight": 2, "hecke_orbit": 77, "hecke_orbit_code": 342273571713721928, "dim": 6, "is_polredabs": true, "nf_label": "6.6.239575536.1", "trace_hash": 1678680943172489314, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-8, -15, 35, 8, -12, -1, 1]], [11, [512, -832, 296, 69, -37, -1, 1]], [13, [256, -320, -8, 100, -10, -7, 1]], [19, [568, -1300, -94, 301, -47, -5, 1]], [23, [-337, -478, 123, 108, -19, -6, 1]]], "qexp_display": "q+\\beta _{1}q^{3}+(1+\\beta _{2})q^{9}+(\\beta _{1}+\\beta _{5})q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 39200, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 78.25339398085478, "hecke_ring_index": 2, "level_radical": 70, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [9800, 1, [7351, 4901, 1177, 5001], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 5, 7], "conrey_indexes": [1], "field_disc": 239575536, "field_disc_factorization": [[2, 4], [3, 3], [554573, 1]], "field_poly": [-8, -15, 35, 8, -12, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.154", "prec": 17}, {"__RealLiteral__": 0, "data": "5.552", "prec": 17}, {"__RealLiteral__": 0, "data": "2.381", "prec": 17}, {"__RealLiteral__": 0, "data": "74.197", "prec": 20}, {"__RealLiteral__": 0, "data": "48.796", "prec": 20}, {"__RealLiteral__": 0, "data": "1434.953", "prec": 27}], 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