# Stored data for newform 722.6.a.e, downloaded from the LMFDB on 03 May 2024.
{"label": "722.6.a.e", "space_label": "722.6.a", "level": 722, "weight": 6, "hecke_orbit": 5, "hecke_orbit_code": 18014398610146002, "dim": 3, "is_polredabs": true, "trace_hash": 1401223509072272823, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [2775, -457, -15, 1]]], "qexp_display": "q-4q^{2}+(5-\\beta _{1})q^{3}+2^{4}q^{4}+(-5+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 25992, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 115.79711790497201, "hecke_ring_index": 2, "level_radical": 38, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [722, 1, [363], [1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 19], "conrey_indexes": [1], "field_disc": 9386248, "field_disc_factorization": [[2, 3], [1173281, 1]], "field_poly": [-30, -133, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.810", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "20.682", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "221.945", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [19, 1]], "trace_display": [-12, 15, -14, -312], "traces": [0, 3, -12, 15, 48, -14, -60, -312, -192, 410, 56, -469, 240, 736, 1248, -954, 768, 1000, -1640, 0, -224, -5816, 1876, 2168, -960, 3187, 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