# Stored data for newform 9800.2.a.dc, downloaded from the LMFDB on 19 April 2024.
{"label": "9800.2.a.dc", "space_label": "9800.2.a", "level": 9800, "weight": 2, "hecke_orbit": 81, "hecke_orbit_code": 360287970223203912, "dim": 10, "is_polredabs": true, "trace_hash": 2037019551975150534, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-128, 0, 384, 0, -384, 0, 153, 0, -22, 0, 1]], [11, [-32, 112, -76, -15, 6, 1]], [13, [-95048, 0, 110844, 0, -34134, 0, 2873, 0, -92, 0, 1]], [19, [-204800, 0, 153600, 0, -39040, 0, 3776, 0, -112, 0, 1]], [23, [-7232, 1056, 528, -70, -8, 1]]], "qexp_display": "q+\\beta _{7}q^{3}+(1-\\beta _{4}-\\beta _{8})q^{9}+(-1+\\beta _{1}+\\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": 39200, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 78.25339398085478, "hecke_ring_index": 64, "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": "0.512", "prec": 17}, "analytic_rank_proved": true, "char_values": [9800, 1, [7351, 4901, 1177, 5001], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 41, "inner_twist_count": 2, "level_primes": [2, 5, 7], "conrey_indexes": [1], "field_disc": 490120478720000, "field_disc_factorization": [[2, 19], [5, 4], [1223, 2]], "field_poly": [28, 72, -124, -440, -206, 200, 146, -16, -22, 0, 1], "hecke_ring_index_factorization": [[2, 6]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.187", "prec": 17}, {"__RealLiteral__": 0, "data": "8.956", "prec": 17}, {"__RealLiteral__": 0, "data": "6.403", "prec": 17}, {"__RealLiteral__": 0, "data": "428.855", "prec": 24}, {"__RealLiteral__": 0, "data": "380.768", "prec": 24}, {"__RealLiteral__": 0, "data": "30344.573", "prec": 30}], 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