# Stored data for newform 539.2.a.j, downloaded from the LMFDB on 08 June 2026.
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false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "539.2.a.j", "level": 539, "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": [7, 11], "level_radical": 77, "minimal_twist": "77.2.e.a", "nf_label": "3.3.81.1", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+(1-\\beta _{1}+\\beta _{2})q^{3}+\\beta _{2}q^{4}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "539.2.a", "trace_display": [0, 3, 6, 0], "trace_hash": 1331901563167261836, "trace_moments": [{"__RealLiteral__": 0, "data": "0.032", "prec": 17}, {"__RealLiteral__": 0, "data": "2.891", "prec": 17}, {"__RealLiteral__": 0, "data": "0.742", "prec": 17}, 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