# Stored data for newform 135.4.a.a, downloaded from the LMFDB on 25 April 2024.
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82], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.981", "prec": 17}, {"__RealLiteral__": 0, "data": "0.007", "prec": 17}, {"__RealLiteral__": 0, "data": "1.894", "prec": 17}, {"__RealLiteral__": 0, "data": "0.048", "prec": 17}, {"__RealLiteral__": 0, "data": "4.563", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, -1]], "trace_display": [-2, 0, 5, 0], "traces": [0, 1, -2, 0, -4, 5, 0, 0, 24, 0, -10, 10, 0, -80, 0, 0, -16, 7, 0, -113, -20, 0, -20, -81, 0, 25, 160, 0, 0, -220, 0, -189, -160, 0, -14, 0, 0, 170, 226, 0, 120, -130, 0, 10, -40, 0, 162, 160, 0, -343, -50, 0, 320, 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1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "135.4.a.a", "char_is_minimal": true, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0], [1], [-2], [0], [-4], [5], [0], [0], [24], [0], [-10], [10], [0], [-80], [0], [0], [-16], [7], [0], [-113], [-20], [0], [-20], [-81], [0], [25], [160], [0], [0], [-220], [0], [-189], [-160], [0], [-14], [0], [0], [170], [226], [0], [120], [-130], [0], [10], [-40], [0], [162], [160], [0], [-343], [-50], [0], [320], [631], [0], [50], [0], [0], [440], [-560], [0], [229], [378], [0], [448], [-400], [0], [750], [-28], [0], [0], [890], [0], [-890], [-340], [0], [452], [0], [0], [-27], [-80], [0], [260], [429], [0], [35], [-20], [0], [240], [-750], [0], [0], [324], [0], [-320], [-565], [0], [-1480], [686], [0], [-100]]}