# Stored data for newform 416.2.i.e, downloaded from the LMFDB on 25 January 2026.
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false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": true, "is_twist_minimal": true, "label": "416.2.i.e", "level": 416, "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, 13], "level_radical": 26, "minimal_twist": "416.2.i.e", "nf_label": "4.0.144.1", "prim_orbit_index": 3, "qexp_display": "q+(\\beta_{3}-2\\beta_1+1)q^{5}+3\\beta_{2} q^{9}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.1.d3", "self_twist_discs": [-4], "self_twist_type": 1, "space_label": "416.2.i", "trace_display": [0, 0, 4, 0], "trace_hash": 1413877627753444083, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.709", "prec": 17}, {"__RealLiteral__": 0, "data": "0.182", "prec": 17}, {"__RealLiteral__": 0, "data": "92.238", 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