# Stored data for newform 4410.2.b.a, downloaded from the LMFDB on 25 April 2024.
{"label": "4410.2.b.a", "space_label": "4410.2.b", "level": 4410, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 68753035578, "dim": 8, "is_polredabs": true, "nf_label": "8.0.16777216.1", "trace_hash": 1456935954530581028, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[11, [4, 0, 176, 0, 148, 0, 24, 0, 1]], [17, [94, -72, -40, 0, 1]]], "qexp_display": "q-\\zeta_{16}q^{2}-q^{4}-q^{5}+\\zeta_{16}q^{8}+\\zeta_{16}q^{10}+\\cdots", "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 21, "char_orbit_label": "b", "char_is_real": true, "Nk2": 17640, "analytic_conductor": 35.214027291384646, "hecke_ring_index": 8, "level_radical": 210, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 16, "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": "0.528", "prec": 17}, "analytic_rank_proved": true, "char_values": [4410, 2, [3431, 2647, 1081], [1, 2, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 2, "level_primes": [2, 3, 5, 7], "conrey_indexes": [881], "field_disc": 16777216, "field_disc_factorization": [[2, 24]], "field_poly": [1, 0, 0, 0, 0, 0, 0, 0, 1], "hecke_ring_index_factorization": [[2, 3]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.085", "prec": 17}, {"__RealLiteral__": 0, "data": "7.457", "prec": 17}, {"__RealLiteral__": 0, "data": "4.871", "prec": 17}, {"__RealLiteral__": 0, "data": "294.965", "prec": 24}, {"__RealLiteral__": 0, "data": "186.826", "prec": 24}, {"__RealLiteral__": 0, "data": "17843.602", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "1.2.3.c2", "trace_display": [0, 0, -8, 0], "traces": [0, 8, 0, 0, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, -16, 0, 0, 8, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 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