# Stored data for newform 9801.2.a.bi, downloaded from the LMFDB on 23 April 2024.
{"label": "9801.2.a.bi", "space_label": "9801.2.a", "level": 9801, "weight": 2, "hecke_orbit": 35, "hecke_orbit_code": 153122387364161097, "dim": 4, "is_polredabs": true, "nf_label": "4.4.22545.1", "trace_hash": 207080990591012911, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [13, -8, -9, 1, 1]], [5, [31, 29, -9, -4, 1]], [7, [4, -5, -6, 1, 1]], [17, [-236, 169, -24, -5, 1]]], "qexp_display": "q-\\beta _{2}q^{2}+(3+\\beta _{3})q^{4}+(1-\\beta _{1}-\\beta _{3})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 39204, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 78.26137902105691, "hecke_ring_index": 1, "level_radical": 33, "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": "0.007", "prec": 17}, "analytic_rank_proved": true, "char_values": [9801, 1, [9560, 244], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 11], "conrey_indexes": [1], "field_disc": 22545, "field_disc_factorization": [[3, 3], [5, 1], [167, 1]], "field_poly": [4, 5, -6, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.706", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "37.546", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "588.793", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [11, -1]], "trace_display": [-1, 0, 4, -1], "traces": [0, 4, -1, 0, 11, 4, 0, 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