# Stored data for newform 700.2.g.g, downloaded from the LMFDB on 25 April 2024.
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"prec": 17}, "analytic_rank_proved": true, "char_values": [700, 2, [351, 477, 101], [1, 2, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 2, "level_primes": [2, 5, 7], "conrey_indexes": [251], "field_disc": 144, "field_disc_factorization": [[2, 4], [3, 2]], "field_poly": [1, 0, -1, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.050", "prec": 17}, {"__RealLiteral__": 0, "data": "3.674", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "67.684", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1755.467", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c2", "trace_display": [2, 0, 0, 0], "traces": [0, 4, 2, 0, 0, 0, 6, 0, 8, 0, 0, 0, 12, 0, 2, 0, 8, 0, 0, -24, 0, 12, -2, 0, 0, 0, 6, 0, 20, 4, 0, 24, -8, 0, 18, 0, 0, 24, -12, 0, 0, 0, 18, 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"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], [0, 1, -1, 0], [0, 1, -1, 1], [0, 1, 0, 1], [0, 0, 0, 0], [2, 0, 1, 1], [0, 1, -3, 1], [2, 0, 2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-1, 1, 2, -1], [2, 1, 0, -1], [2, -2, -3, 2], [2, 0, -1, 3], [0, 0, 0, 0], [0, 2, 0, -2], [2, -2, 3, 2], [0, 0, 0, 0], [-6, 0, 0, 0], [0, 0, 0, 0], [5, -2, 0, 2], [-2, 1, 3, -2], [-2, 2, 2, -2], [-2, 4, -2, 0], [0, 0, 0, 0], [4, -2, -5, 3], [0, -3, 3, -3], [6, -1, 0, 1], [1, -4, 4, -4], [0, 0, 0, 0], [6, 0, 0, 0], [-4, 4, 0, 0], [-2, 2, 3, -2], [4, -2, 1, -3], [0, 0, 0, 0], [0, 0, 0, 0], [6, -2, 2, -2], [0, -6, 6, 0], [3, -3, -6, 3], [0, 0, 0, 0], [-2, 2, 0, -2], [4, 1, -5, 0], [0, 0, -2, 0], [-4, 1, 4, -3], [0, 0, 0, 0], [-4, 2, 4, -2], [0, -1, 1, -1], 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