# Stored data for newform 9.9.d.a, downloaded from the LMFDB on 14 April 2026.
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21]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 4, -1, 6, 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": "9.9.d.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": "9.9.d.a", "prim_orbit_index": 4, "qexp_display": "q-\\beta _{1}q^{2}+(-5-3\\beta _{3}+\\beta _{4}+\\beta _{6})q^{3}+\\cdots", "related_objects": [], "relative_dim": 7, "rm_discs": [], "sato_tate_group": "8.2.3.c6", "self_twist_discs": [], "self_twist_type": 0, "space_label": "9.9.d", "trace_display": [-3, -93, 438, 922], "trace_hash": 1670372018112266981, "trace_moments": [{"__RealLiteral__": 0, "data": "0.011", "prec": 17}, 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