# Stored data for newform 49.4.c.d, downloaded from the LMFDB on 19 April 2024.
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2, -1, 2, -7], [1, 1, 7, 3, 1, 3, 0], [1, 1, 7, 4, -1, 6, 0]], "char_orbit_index": 3, "prim_orbit_index": 3, "minimal_twist": "49.4.a.a", "char_is_minimal": false, "conrey_index": 18, "id": null, "fricke_eigenval": null, "atkin_lehner_string": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [0, 5], [0, 0], [-17, 17], [0, 0], [0, 0], [0, 0], [-45, 0], [0, 27], [0, 0], [68, -68], [0, 0], [0, 0], [0, 0], [0, 0], [0, -89], [0, 0], [-135, 135], [0, 0], [0, 0], [0, 0], [340, 0], [0, 40], [0, 0], [125, -125], [0, 0], [0, 0], [0, 0], [-166, 0], [0, 0], [0, 0], [85, -85], [0, 0], [0, 0], [0, 0], [-459, 0], [0, -450], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-180, 0], [0, 1156], [0, 0], [-200, 200], [0, 0], [0, 0], [0, 0], [625, 0], [0, 0], [0, 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