# Stored data for newform 722.6.a.q, downloaded from the LMFDB on 25 April 2024.
{"label": "722.6.a.q", "space_label": "722.6.a", "level": 722, "weight": 6, "hecke_orbit": 17, "hecke_orbit_code": 72057594138591954, "dim": 15, "is_polredabs": true, "trace_hash": 2255762304361782522, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-4922141548222971, -2028046240465461, 3989649082088241, 1690978504212342, -156214328638473, -46284758138952, 1645531637743, 434202352248, -6021674247, -1709279884, 8713875, 3213570, -4339, -2886, 0, 1]]], "qexp_display": "q-4q^{2}+\\beta _{1}q^{3}+2^{4}q^{4}+(7+\\beta _{5})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": 9032809152, "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": "0.002", "prec": 17}, "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": 31495041832393556745487864452110712059212796174572114063257, "field_disc_factorization": [[3, 20], [719, 1], [3178729, 1], [13464934597331713, 1], [293515102571005982820239, 1]], "field_poly": [-34308015556724472, -19853455953893436, 5743342864926480, 2435236025483701, -166593470925336, -51993847360191, 1625551725606, 437045334939, -6060225486, -1680307373, 9081402, 3170019, -4674, -2871, 0, 1], "hecke_ring_index_factorization": [[2, 6], [3, 1], [19, 6]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.218", "prec": 17}, {"__RealLiteral__": 0, "data": "13.489", "prec": 20}, {"__RealLiteral__": 0, "data": "1.779", "prec": 17}, 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