# Stored data for newform 75.10.a.f, downloaded from the LMFDB on 19 April 2024.
{"label": "75.10.a.f", "space_label": "75.10.a", "level": 75, "weight": 10, "hecke_orbit": 6, "hecke_orbit_code": 22517998304624715, "dim": 2, "is_polredabs": true, "nf_label": "2.2.241.1", "trace_hash": 983453674796381983, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-302, 31, 1]]], "qexp_display": "q+(-2^{4}-\\beta )q^{2}+3^{4}q^{3}+(286+31\\beta )q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 7500, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 38.62768771229049, "hecke_ring_index": 3, "level_radical": 15, "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": 0, "analytic_rank_proved": true, "char_values": [75, 1, [26, 52], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5], "conrey_indexes": [1], "field_disc": 241, "field_disc_factorization": [[241, 1]], "field_poly": [-60, -1, 1], "hecke_ring_index_factorization": [[3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.032", "prec": 17}, {"__RealLiteral__": 0, "data": "1.883", "prec": 17}, {"__RealLiteral__": 0, "data": "0.107", "prec": 17}, {"__RealLiteral__": 0, "data": "9.126", "prec": 17}, {"__RealLiteral__": 0, "data": "0.351", "prec": 17}, {"__RealLiteral__": 0, "data": "62.092", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "9.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1]], "trace_display": [-31, 162, 0, -14112], "traces": [0, 2, -31, 162, 541, 0, -2511, -14112, -26133, 13122, 0, -21512, 43821, -24284, 461664, 0, 387265, 156956, -203391, -95896, 0, -1143072, 2901532, 735264, -2116773, 0, -5419166, 1062882, -11348064, 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