# Stored data for newform 9702.2.a.dx, downloaded from the LMFDB on 19 April 2024.
{"label": "9702.2.a.dx", "space_label": "9702.2.a", "level": 9702, "weight": 2, "hecke_orbit": 102, "hecke_orbit_code": 454863562397984230, "dim": 3, "is_polredabs": true, "nf_label": "3.3.1304.1", "trace_hash": 2179903968727924054, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [12, -10, -2, 1]], [13, [16, -44, 0, 1]], [17, [12, -10, -2, 1]], [19, [-188, -6, 10, 1]], [23, [-48, -56, 2, 1]], [29, [96, -32, -6, 1]]], "qexp_display": "q-q^{2}+q^{4}+(1+\\beta _{2})q^{5}-q^{8}+(-1+\\cdots)q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 38808, "fricke_eigenval": -1, "atkin_lehner_string": "++-+", "analytic_conductor": 77.47086004104622, "hecke_ring_index": 2, "level_radical": 462, "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": "0.010", "prec": 17}, "analytic_rank_proved": true, "char_values": [9702, 1, [4313, 199, 5293], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 7, 11], "conrey_indexes": [1], "field_disc": 1304, "field_disc_factorization": [[2, 3], [163, 1]], "field_poly": [-2, -11, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.005", "prec": 17}, {"__RealLiteral__": 0, "data": "3.007", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "24.332", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "292.425", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [7, -1], [11, 1]], 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