# Stored data for newform 9702.2.a.ea, downloaded from the LMFDB on 25 April 2024.
{"label": "9702.2.a.ea", "space_label": "9702.2.a", "level": 9702, "weight": 2, "hecke_orbit": 105, "hecke_orbit_code": 468374361280095718, "dim": 4, "is_polredabs": true, "nf_label": "4.4.4352.1", "trace_hash": 219886194068697401, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [8, 16, -4, -4, 1]], [13, [-28, -80, -4, 8, 1]], [17, [776, 112, -52, -4, 1]], [19, [-28, 24, 40, 12, 1]], [23, [16, 32, 0, -8, 1]], [29, [64, 64, -32, -8, 1]]], "qexp_display": "q-q^{2}+q^{4}+(1+\\beta _{3})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": "0.026", "prec": 17}, "analytic_rank_proved": true, "char_values": [9702, 1, [4313, 199, 5293], [1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 3, 7, 11], "conrey_indexes": [1], "field_disc": 4352, "field_disc_factorization": [[2, 8], [17, 1]], "field_poly": [2, -4, -6, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.832", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "40.572", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "645.018", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 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