# Stored data for newform 4158.2.a.bw, downloaded from the LMFDB on 04 July 2026.
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"hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "4158.2.a.bw", "level": 4158, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 7, 11], "level_radical": 462, "minimal_twist": "4158.2.a.br", "nf_label": "3.3.3028.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+q^{4}+\\beta _{1}q^{5}-q^{7}+q^{8}+\\beta _{1}q^{10}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "4158.2.a", "trace_display": [3, 0, 0, -3], "trace_hash": 1930974348245422872, "trace_moments": [{"__RealLiteral__": 0, "data": "0.051", "prec": 17}, 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