# Stored data for newform 9.8.c.a, downloaded from the LMFDB on 11 June 2026.
{"Nk2": 576, "analytic_conductor": 2.8114652293570956, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 9, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 3, "char_orbit_label": "c", "char_order": 3, "char_parity": 1, "char_values": [9, 3, [2], [1]], "cm_discs": [], "conrey_index": 4, "dim": 12, "field_disc": 91531093176953551602105996844944, "field_disc_factorization": [[2, 4], [3, 6], [3527, 2], [25116268057, 2]], "field_poly": [754412211, -449098992, 513267363, -131054670, 72369348, -8342916, 3002887, -192378, 50808, -1820, 375, -6, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 137573171209, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 3673320192, "hecke_ring_index_factorization": [[2, 8], [3, 15]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "9.8.c.a", "level": 9, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": true, "level_is_prime_square": true, "level_is_square": true, "level_is_squarefree": false, "level_primes": [3], "level_radical": 3, "minimal_twist": "9.8.c.a", "prim_orbit_index": 3, "qexp_display": "q+(-\\beta _{2}-\\beta _{3})q^{2}+(1-\\beta _{1}-\\beta _{4}+\\beta _{6}+\\cdots)q^{3}+\\cdots", "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "7.2.3.c3", "self_twist_discs": [], "self_twist_type": 0, "space_label": "9.8.c", "trace_display": [-9, 24, -180, -84], "trace_hash": 1699086156589516936, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.811", "prec": 20}, {"__RealLiteral__": 0, 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