# Stored data for newform 7.17.b.b, downloaded from the LMFDB on 25 April 2024.
{"label": "7.17.b.b", "space_label": "7.17.b", "level": 7, "weight": 17, "hecke_orbit": 2, "hecke_orbit_code": 4503668632059911, "dim": 8, "is_polredabs": true, "trace_hash": 1568624860647495442, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [773514240, -15713792, -98776, 272, 1]]], "qexp_display": "q+(-68-\\beta _{2})q^{2}+\\beta _{1}q^{3}+(2348+139\\beta _{2}+\\cdots)q^{4}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 7, "char_orbit_label": "b", "char_is_real": true, "Nk2": 2023, "analytic_conductor": 11.3627180699639, "hecke_ring_index": 3747179003904, "level_radical": 7, "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": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.505", "prec": 17}, "analytic_rank_proved": true, "char_values": [7, 2, [3], [1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 2, "level_primes": [7], "conrey_indexes": [6], "field_disc": 79331751330911016902963652453583550698746183942144000, "field_disc_factorization": [[2, 22], [3, 3], [5, 3], [11, 1], [13, 1], [28751, 2], [1130953, 1], [6474607234631, 2]], "field_poly": [2655236149032650377194000, 0, 8743024230718881600, 0, 10449491370210, 0, 5365384, 0, 1], "hecke_ring_index_factorization": [[2, 17], [3, 5], [7, 6]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7.029", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "255.276", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "13498.670", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "16.2.3.c2", "trace_display": [-544, 0, 0, -3034472], "traces": [0, 8, 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