# Stored data for newform 912.6.a.y, downloaded from the LMFDB on 18 April 2024.
{"label": "912.6.a.y", "space_label": "912.6.a", "level": 912, "weight": 6, "hecke_orbit": 25, "hecke_orbit_code": 108086391157556112, "dim": 6, "is_polredabs": true, "trace_hash": 2241918028998186101, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-26557430352, 602356212, 29529208, -445577, -9557, 65, 1]]], "qexp_display": "q+9q^{3}+(-11-\\beta _{2})q^{5}+(5^{2}+\\beta _{4}+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32832, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 146.27004366943834, "hecke_ring_index": 512, "level_radical": 114, "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": [912, 1, [799, 229, 305, 97], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 3, 19], "conrey_indexes": [1], "field_disc": 1617035169389695109940, "field_disc_factorization": [[2, 2], [3, 1], [5, 1], [29, 2], [14327, 1], [2236747489357, 1]], "field_poly": [-24661341, -16081740, 1610577, 92430, -4725, -2, 1], "hecke_ring_index_factorization": [[2, 9]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.104", "prec": 17}, {"__RealLiteral__": 0, "data": "6.239", "prec": 17}, {"__RealLiteral__": 0, "data": "1.115", "prec": 17}, {"__RealLiteral__": 0, "data": "104.219", "prec": 24}, {"__RealLiteral__": 0, "data": "14.242", "prec": 20}, {"__RealLiteral__": 0, "data": "2632.712", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [19, 1]], "trace_display": [0, 54, -65, 149], "traces": [0, 6, 0, 54, 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