# Stored data for newform 819.2.fm.g, downloaded from the LMFDB on 25 April 2024.
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"is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [819, 12, [92, 703, 379], [12, 6, 5]], "inner_twist_count": 4, "level_primes": [3, 7, 13], "conrey_indexes": [370, 496, 622, 748], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "1.2.3.c12", "trace_display": [8, 0, 0, 0], "traces": [32, 8, 0, -12, 0, 0, 0, 16, 0, 0, 4, 0, 0, 32, 0, 12, 0, 0, 0, 0, 0, 4, 12, 0, 0, 0, 0, 24, -4, 0, 0, -4, 0, 0, 20, 0, 4, 0, 0, 0, 0, 0, -48, -24, 0, 84, 0, 0, 24, 44, 0, 0, -72, 0, 0, -60, 0, -16, 0, 0, 0, 0, 0, 0, -4, 0, -56, 0, 0, 56, -84, 0, 0, 24, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 36, 48, 0, -228, 0, 0, -48, -24, 0, 0, 84, 0, 0, 32, 0, 36, 0, 0, 0, 0, 0, -68, 16, 0, 16, 0, 0, -40, -72, 0, 0, 0, 0, 0, -12, 0, 108, 0, 0, 0, 0, 0, 24, -40, 0, -8, 0, 0, -24, 0, 0, 0, -52, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 88, 0, 0, 68, 0, 0, 0, 40, 0, 0, -24, 0, -164, 0, 0, 0, 0, 0, 36, 200, 0, 0, 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"field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}