# Stored data for newform 9075.2.a.u, downloaded from the LMFDB on 19 April 2024.
{"label": "9075.2.a.u", "space_label": "9075.2.a", "level": 9075, "weight": 2, "hecke_orbit": 21, "hecke_orbit_code": 90071992580973427, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 551547194622072556, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 3, 1]], [7, [1, 1]], [13, [-1, 4, 1]], [17, [9, 9, 1]], [19, [-5, 5, 1]], [23, [-1, -4, 1]], [37, [11, -8, 1]]], "qexp_display": "q+(-1-\\beta )q^{2}+q^{3}+3\\beta q^{4}+(-1+\\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": 10, "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": "0.014", "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": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.904", "prec": 17}, {"__RealLiteral__": 0, "data": "0.012", "prec": 17}, {"__RealLiteral__": 0, "data": "9.025", "prec": 17}, {"__RealLiteral__": 0, "data": "0.155", "prec": 17}, {"__RealLiteral__": 0, "data": "60.259", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1], [11, -1]], "trace_display": [-3, 2, 0, -2], "traces": [0, 2, -3, 2, 3, 0, -3, -2, -6, 2, 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