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"q+\\zeta_{8}^{2}q^{2}-\\zeta_{8}^{2}q^{3}-q^{4}+(2\\zeta_{8}+\\zeta_{8}^{3})q^{5}+\\cdots", "self_twist_discs": [], "char_is_real": true, "field_disc": 256, "level_is_prime_power": false, "relative_dim": 4, "hecke_cutters": [[7, [4, 0, 1]], [11, [-18, 0, 1]]], "space_label": "690.2.d", "level": 690, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], "char_degree": 1, "char_conductor": 5, "char_orbit_index": 4, "hecke_ring_generator_nbound": 11, "hecke_orbit_code": 4503805819355826, "trace_moments": [{"__RealLiteral__": 0, "data": "0.017", "prec": 17}, {"__RealLiteral__": 0, "data": "4.049", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "85.467", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2520.372", "prec": 27}], "id": null, "projective_field": null, "embedded_related_objects": null, "projective_image_type": null, "artin_image": null, 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