# Stored data for newform 1334.2.a.j, downloaded from the LMFDB on 24 April 2024.
{"label": "1334.2.a.j", "space_label": "1334.2.a", "level": 1334, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532396679890230, "dim": 9, "is_polredabs": true, "trace_hash": 32059577068186042, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [100, 12, -348, -160, 209, 87, -44, -16, 3, 1]], [5, [-1470, -322, 1912, -10, -779, 95, 114, -20, -5, 1]]], "qexp_display": "q-q^{2}-\\beta _{1}q^{3}+q^{4}+(1-\\beta _{6})q^{5}+\\beta _{1}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5336, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 10.652043629638802, "hecke_ring_index": 1, "level_radical": 1334, "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": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [1334, 1, [465, 553], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 23, 29], "conrey_indexes": [1], "field_disc": 13317541242151936, "field_disc_factorization": [[2, 10], [331, 1], [160087, 1], [245437, 1]], "field_poly": [-100, 12, 348, -160, -209, 87, 44, -16, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.241", "prec": 17}, {"__RealLiteral__": 0, "data": "8.402", "prec": 17}, {"__RealLiteral__": 0, "data": "4.551", "prec": 17}, {"__RealLiteral__": 0, "data": "202.339", "prec": 24}, {"__RealLiteral__": 0, "data": "125.920", "prec": 24}, {"__RealLiteral__": 0, "data": "8185.354", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 9, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [23, 1], [29, -1]], 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