# Stored data for newform 112.2.w.b, downloaded from the LMFDB on 24 April 2024.
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85, 17], [12, 3, 4]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 2, "level_primes": [2, 7], "conrey_indexes": [37, 53, 93, 109], "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": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.869", "prec": 17}, {"__RealLiteral__": 0, "data": "0.895", "prec": 17}, {"__RealLiteral__": 0, "data": "45.684", "prec": 20}, {"__RealLiteral__": 0, "data": "37.560", "prec": 20}, {"__RealLiteral__": 0, "data": "849.895", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c12", "trace_display": [4, 2, 0, 0], "traces": [0, 4, 4, 2, 0, 0, -2, 0, -8, -6, 6, -10, -8, 8, 8, 12, -16, -6, -4, 10, 12, 8, -18, 12, -12, -18, 16, 2, 16, -8, 12, -4, -16, -10, 6, -18, 4, -8, 2, 6, 12, 0, 18, 12, -16, 6, 10, -12, -8, -4, -16, 0, 16, 20, 0, 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"weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 112, 23, 1, 12, 0]], "char_orbit_index": 23, "prim_orbit_index": 23, "minimal_twist": "112.2.w.a", "char_is_minimal": true, "conrey_index": 37, "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, 0, 1], [1, 0, -1, 1], [0, 0, 0, 2], [-1, -1, 2, -1], [0, 1, -1, 1], [0, 2, 0, -3], [-2, 0, 0, 2], [-1, -1, -1, 0], [1, -3, 1, 0], [-3, 2, 1, 1], [-2, 2, 0, 0], [3, 2, -2, -3], [1, 2, 2, -3], [3, -4, 0, 2], [-4, 0, 0, 0], [0, -2, -3, -2], [0, 0, -2, -2], [2, -2, 1, 3], 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