# Stored data for newform 9075.2.a.df, downloaded from the LMFDB on 25 April 2024.
{"label": "9075.2.a.df", "space_label": "9075.2.a", "level": 9075, "weight": 2, "hecke_orbit": 84, "hecke_orbit_code": 373798769105314675, "dim": 4, "is_polredabs": true, "nf_label": "4.4.1125.1", "trace_hash": 1040491012337148747, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 4, -4, -1, 1]], [7, [-5, 15, -10, 0, 1]], [13, [-359, 202, -16, -7, 1]], [17, [-59, 88, -6, -8, 1]], [19, [-239, -184, 6, 11, 1]], [23, [-5, 25, -25, 5, 1]], [37, [-155, 45, 65, 15, 1]]], "qexp_display": "q+(-\\beta _{2}-\\beta _{3})q^{2}+q^{3}+\\beta _{1}q^{4}+(-\\beta _{2}+\\cdots)q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 36300, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 72.46423983431195, "hecke_ring_index": 1, "level_radical": 165, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 15, "field_poly_is_real_cyclotomic": true, "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": "0.008", "prec": 17}, "analytic_rank_proved": true, "char_values": [9075, 1, [3026, 727, 5326], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 11], "conrey_indexes": [1], "field_disc": 1125, "field_disc_factorization": [[3, 2], [5, 3]], "field_poly": [1, 4, -4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.681", "prec": 17}, {"__RealLiteral__": 0, "data": "0.018", "prec": 17}, {"__RealLiteral__": 0, "data": "37.121", "prec": 20}, {"__RealLiteral__": 0, "data": "1.259", "prec": 17}, {"__RealLiteral__": 0, "data": "588.832", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": 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