# Stored data for newform 273.2.by.a, downloaded from the LMFDB on 25 April 2024.
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true, "char_values": [273, 12, [92, 157, 106], [12, 6, 7]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [3, 7, 13], "conrey_indexes": [76, 97, 202, 223], "field_disc": 144, "field_disc_factorization": [[2, 4], [3, 2]], "field_poly": [1, 0, -1, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "3.883", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "41.572", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "665.807", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c12", "trace_display": [2, 0, -2, -2], "traces": [0, 4, 2, 0, -6, -2, 2, -2, -2, 2, -2, -4, 0, -6, -10, -4, -2, 0, -2, 4, 0, 0, -4, 18, -4, 0, -16, 0, -6, 14, 0, 20, -12, 4, 18, -8, -6, 10, -8, -4, 0, -20, 8, 0, 12, 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false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 91, 29, 1, 12, 0]], "char_orbit_index": 51, "prim_orbit_index": 29, "minimal_twist": "273.2.by.a", "char_is_minimal": true, "conrey_index": 76, "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, 0, 0], [1, 0, 0, 0], [1, 0, -1, 1], [0, 1, 0, -1], [-1, 0, -1, 0], [0, -1, -1, 0], [0, 0, 1, -1], [1, 0, -3, 0], [0, -1, -1, 0], [1, 0, -1, 0], [0, 0, -1, 0], [-2, 0, 2, 2], [0, -2, 0, 1], [0, -2, -3, 2], [-2, 3, -1, -2], [-1, -1, 0, 0], [0, 2, -1, 2], [0, 3, 0, -6], [0, 1, -1, 0], [2, 2, -2, 0], [-1, 1, 2, 1], [0, -2, 0, -1], [-2, 0, 2, 0], [6, 1, -3, -1], 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