# Stored data for newform 630.2.k.i, downloaded from the LMFDB on 18 April 2024.
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"analytic_rank_proved": true, "char_values": [630, 3, [281, 127, 451], [3, 3, 2]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 2, "level_primes": [2, 3, 5, 7], "conrey_indexes": [361, 541], "field_disc": 7056, "field_disc_factorization": [[2, 4], [3, 2], [7, 2]], "field_poly": [49, 0, 7, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.964", "prec": 17}, {"__RealLiteral__": 0, "data": "0.496", "prec": 17}, {"__RealLiteral__": 0, "data": "62.284", "prec": 20}, {"__RealLiteral__": 0, "data": "33.912", "prec": 20}, {"__RealLiteral__": 0, "data": "1706.035", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c3", "trace_display": [-2, 0, 2, 0], "traces": [0, 4, -2, 0, -2, 2, 0, 0, 4, 0, 2, -4, 0, -8, 0, 0, -2, 4, 0, -2, -4, 0, 8, -6, 0, -2, 4, 0, 0, 0, 0, -4, -2, 0, -8, 0, 0, -4, -2, 0, 2, 16, 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"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, 0], [0, 0, 0, 0], [0, 0, 1, 0], [1, 0, 1, 0], [0, 0, 0, 0], [0, 0, 0, 1], [1, 0, 0, 0], [0, 0, 0, 0], [0, 0, -1, 0], [0, -1, 2, -1], [0, 0, 0, 0], [-2, 0, 0, 1], [0, 1, 0, 0], [0, 0, 0, 0], [-1, 0, -1, 0], [0, -2, -2, -2], [0, 0, 0, 0], [-1, -2, -1, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [2, 0, 0, 1], [-3, 0, -3, 0], [0, 0, 0, 0], [0, 0, 1, 0], [2, 1, 2, 0], [0, 0, 0, 0], [0, -1, 0, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 2, 0], [0, 0, 1, 0], [0, 0, 0, 0], [-2, 0, 0, 2], [0, -1, 0, 0], [0, 0, 0, 0], [-2, -3, -2, 0], [0, 2, 1, 2], [0, 0, 0, 0], [1, 0, 1, 0], [4, 0, 0, -1], [0, 0, 0, 0], [6, 0, 0, 2], [-2, 1, -2, 0], [0, 0, 0, 0], [0, 0, 3, 0], [-1, -4, -1, 0], [0, 0, 0, 0], [7, 0, 0, 0], [1, 0, 0, 0], 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