# Stored data for newform 4312.2.a.s, downloaded from the LMFDB on 13 March 2026.
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"inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "4312.2.a.s", "level": 4312, "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, 7, 11], "level_radical": 154, "minimal_twist": "4312.2.a.s", "nf_label": "2.2.8.1", "prim_orbit_index": 1, "qexp_display": "q+\\beta q^{3}+\\beta q^{5}-q^{9}+q^{11}+2q^{15}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "4312.2.a", "trace_display": [0, 0, 0, 0], "trace_hash": 841265174493173058, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.986", "prec": 17}, 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