# Stored data for newform 722.4.a.p, downloaded from the LMFDB on 20 April 2024.
{"label": "722.4.a.p", "space_label": "722.4.a", "level": 722, "weight": 4, "hecke_orbit": 16, "hecke_orbit_code": 67553994477667026, "dim": 6, "is_polredabs": true, "nf_label": "6.6.6719782761.1", "trace_hash": 1264787875825260768, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-1513, 6327, 597, -531, -57, 9, 1]], [5, [-555579, 263169, 1539, -5427, -99, 27, 1]]], "qexp_display": "q+2q^{2}+(-1+\\beta _{3})q^{3}+4q^{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": 11552, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 42.599379024144724, "hecke_ring_index": 19, "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": 0, "analytic_rank_proved": true, "char_values": [722, 1, [363], [1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 19], "conrey_indexes": [1], "field_disc": 6719782761, "field_disc_factorization": [[3, 8], [647, 1], [1583, 1]], "field_poly": [-14797, -1425, 1857, 135, -75, -3, 1], "hecke_ring_index_factorization": [[19, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.286", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "76.095", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1647.131", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [19, 1]], "trace_display": [12, -9, -27, -21], "traces": [0, 6, 12, -9, 24, -27, -18, -21, 48, 33, -54, 9, -36, -24, 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