# Stored data for newform 777.1.t.a, downloaded from the LMFDB on 29 September 2025. {"Nk2": 777, "analytic_conductor": 0.3877735148158429, "analytic_rank": 0, "analytic_rank_proved": true, "artin_degree": 48, "artin_field": [76, -626, 1659, -1912, 3832, -3438, 2625, -2560, 1077, -242, 357, -132, -79, 32, 14, -8, 1], "artin_image": "48.33", "char_conductor": 777, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 20, "char_orbit_label": "t", "char_order": 6, "char_parity": -1, "char_values": [777, 6, [260, 556, 631], [3, 4, 4]], "cm_discs": [], "conrey_index": 158, "dim": 4, "embedded_related_objects": [["ArtinRepresentation/2.3_7_37.16t60.1c4"], ["ArtinRepresentation/2.3_7_37.16t60.1c3"], ["ArtinRepresentation/2.3_7_37.16t60.1c2"], ["ArtinRepresentation/2.3_7_37.16t60.1c1"]], "field_disc": 144, "field_disc_factorization": [[2, 4], [3, 2]], "field_poly": [1, 0, -1, 0, 1], "field_poly_is_cyclotomic": true, "field_poly_is_real_cyclotomic": false, 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