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"inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 20, 4, -1, 2, 0], [1, 1, 4, 2, -1, 2, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "3600.3.e.bd", "level": 3600, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [2, 3, 5], "level_radical": 30, "minimal_twist": "80.3.h.b", "nf_label": "4.0.576.1", "prim_orbit_index": 2, "qexp_display": "q+\\beta _{2}q^{7}+\\beta _{3}q^{11}-\\beta _{1}q^{13}+2\\beta _{1}q^{17}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "2.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "3600.3.e", "trace_display": [0, 0, 0, 0], "trace_hash": 614214510398530183, "trace_moments": 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