# Stored data for newform 9.24.a.d, downloaded from the LMFDB on 19 April 2024.
{"label": "9.24.a.d", "space_label": "9.24.a", "level": 9, "weight": 24, "hecke_orbit": 4, "hecke_orbit_code": 13510799284764681, "dim": 4, "is_polredabs": true, "trace_hash": 2175575143552698915, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [78875596800000, 0, -26332200, 0, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(4777492+\\beta _{3})q^{4}+(17070\\beta _{1}+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5184, "fricke_eigenval": 1, "atkin_lehner_string": "+", "analytic_conductor": 30.168363361059342, "hecke_ring_index": 18895680000, "level_radical": 3, "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": "0.509", "prec": 17}, "analytic_rank_proved": true, "char_values": [9, 1, [2], [1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [3], "conrey_indexes": [1], "field_disc": 12618009752847378880, "field_disc_factorization": [[2, 6], [5, 1], [7, 1], [11, 1], [13, 1], [19, 1], [1439881, 2]], "field_poly": [97377280, 0, -29258, 0, 1], "hecke_ring_index_factorization": [[2, 9], [3, 10], [5, 4]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.017", "prec": 17}, {"__RealLiteral__": 0, "data": "3.718", "prec": 17}, {"__RealLiteral__": 0, "data": "0.746", "prec": 17}, {"__RealLiteral__": 0, "data": "68.065", "prec": 20}, {"__RealLiteral__": 0, "data": "25.005", "prec": 20}, {"__RealLiteral__": 0, "data": "1679.613", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "23.2.3.c1", "atkin_lehner_eigenvals": [[3, 1]], "trace_display": [0, 0, 0, 8561438480], "traces": [0, 4, 0, 0, 19109968, 0, 0, 8561438480, 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