# Stored data for newform 3.21.b.a, downloaded from the LMFDB on 23 April 2024.
{"label": "3.21.b.a", "space_label": "3.21.b", "level": 3, "weight": 21, "hecke_orbit": 1, "hecke_orbit_code": 69071798275, "dim": 6, "is_polredabs": true, "trace_hash": 377435628047986573, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "qexp_display": "q+\\beta _{1}q^{2}+(-687+11\\beta _{1}+\\beta _{2})q^{3}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 3, "char_orbit_label": "b", "char_is_real": true, "Nk2": 1323, "analytic_conductor": 7.605412953079849, "hecke_ring_index": 476062296883200, "level_radical": 3, "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": "0.508", "prec": 17}, "analytic_rank_proved": true, "char_values": [3, 2, [2], [1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 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