# Stored data for newform 546.2.l.h, downloaded from the LMFDB on 19 April 2024.
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379], [3, 3, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2, 3, 7, 13], "conrey_indexes": [211, 295], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.940", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.527", "prec": 20}, {"__RealLiteral__": 0, "data": "0.542", "prec": 17}, {"__RealLiteral__": 0, "data": "103.081", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [1, 1, 8, -1], "traces": [0, 2, 1, 1, -1, 8, -1, -1, -2, -1, 4, 3, -2, -5, -2, 4, -1, 5, -2, -3, -4, -2, -3, -6, -1, 22, 2, -2, -1, 9, -4, -8, 1, -3, 10, -4, -1, -4, -6, 2, -8, -5, -1, 0, -6, -4, 6, -6, 1, -1, 11, 10, 7, -22, -1, 12, 1, -6, -9, -2, 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0]], "char_orbit_index": 12, "prim_orbit_index": 3, "minimal_twist": "546.2.l.h", "char_is_minimal": true, "conrey_index": 211, "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], [1, -1], [1, -1], [0, -1], [4, 0], [0, -1], [0, -1], [-1, 0], [0, -1], [4, -4], [3, -3], [-1, 0], [-4, 3], [-1, 0], [4, -4], [-1, 1], [0, 5], [-1, 0], [0, -3], [0, -4], [-1, 0], [0, -3], [-6, 6], [-1, 1], [11, 0], [-1, 4], [-1, 0], [-1, 1], [9, -9], [0, -4], [-4, 0], [0, 1], [0, -3], [5, 0], [0, -4], [-1, 1], [-4, 4], [-3, 0], [-1, 4], [-4, 0], [-5, 5], [-1, 1], [0, 0], [-3, 0], [0, -4], [0, 6], [-3, 0], [0, 1], [-1, 1], [11, -11], [5, 0], [3, 1], [-11, 0], [-1, 1], [12, -12], [0, 1], [-3, 0], [0, -9], 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