# Stored data for newform 230.2.j.a, downloaded from the LMFDB on 10 August 2022.
{"level_primes": [2, 5, 23], "sato_tate_group": "1.2.3.c22", "rm_discs": [], "conrey_indexes": [9, 29, 39, 49, 59, 119, 169, 179, 209, 219], "cm_discs": [], "level_radical": 230, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 10, "is_cm": false, "hecke_orbit": 1, "analytic_conductor": 1.836559246489449, "inner_twist_count": 4, "is_rm": false, "char_order": 22, "level_is_square": false, "weight_parity": 1, "label": "230.2.j.a", "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "230.2.j.a", "dim": 120, "traces": [120, 0, 0, 12, 0, -4, 0, 0, 8, 0, 8, 0, 0, 0, -6, -12, 0, 0, -16, -22, 0, 0, 0, 4, -52, -4, 0, 0, -8, -44, 12, 0, 0, 0, 16, -8, 0, 0, -36, 0, -28, 0, 0, -8, 16, -4, 0, 0, -58, 12, -24, 0, 0, -6, -36, 22, 0, 0, -102, -38, 72, 0, 0, 12, -138, 80, 0, 0, -212, -108, 176, 0, 0, -88, -100, 16, 0, 0, -104, -22, -28, 0, 0, -22, 2, 62, 0, 0, 48, 24, -56, 0, 0, 24, 18, -4, 0, 0, 188, 52, -16, 0, 0, 4, 176, 102, 0, 0, 232, 70, 84, 0, 0, 112, 176, 52, 0, 0, 216, 0, 72, 0, 0, 120, -66, 54, 0, 0, 224, 88, 20, 0, 0, 72, -168, 0, 0, 0, 28, -16, 32, 0, 0, -14, -68, -32, 0, 0, -188, 60, 44, 0, 0, -96, -110, -8, 0, 0, -220, 0, 10, 0, 0, 6, -68, 32, 0, 0, -228, 4, 80, 0, 0, -282, -32, 8, 0, 0, 24, 6, -82, 0, 0, -18, 88, -164, 0, 0, 14, 128, -396, 0, 0, -16, 202, -228, 0, 0, -48, -12, -406, 0, 0, 24, 226, -400, 0, 0, 246, 220, -348, 0, 0, -80, 270, -16, 0, 0, 280, 102, -364, 0, 0, 0, 172, -176, 0, 0, 108, 44, -160, 0, 0, 0, -30, -52, 0, 0, 108, -28, 160, 0, 0, 16, 20, -12, 0, 0, 158, -132, 44, 0, 0, 48, -198, -12, 0, 0, -24, -82, 166, 0, 0, 8, -130, 26, 0, 0, -76, -294, 76, 0, 0, -76, -156, 80, 0, 0, -436, -24, 68, 0, 0, 0, -326, 170, 0, 0, -264, -204, 20, 0, 0, -180, 50, 0, 0, 0, -248, -208, -168, 0, 0, -16, -14, 348, 0, 0, -294, -40, 176, 0, 0, -26, 160, 104, 0, 0, 380, 22, 192, 0, 0, 28, 230, 122, 0, 0, 516, 186, -228, 0, 0, 218, 426, 22, 0, 0, 496, 20, -96, 0, 0, 180, 420, 124, 0, 0, 488, 228, 28, 0, 0, 492, 248, -26, 0, 0, 492, 86, 96, 0, 0, 56, 114, 138, 0, 0, 360, 24, 280, 0, 0, 208, 186, 20, 0, 0, -206, 92, 314, 0, 0, 4, -134, -24, 0, 0, -290, 32, 196, 0, 0, -76, -270, 32, 0, 0, -788, 14, 192, 0, 0, -72, -54, -148, 0, 0, -586, 76, -404, 0, 0, -156, -196, -4, 0, 0, -192, 132, -238, 0, 0, 8, -56, -516, 0, 0, -252, 114, -24, 0, 0, 104, 370, -100, 0, 0, 228, 62, -420, 0, 0, -40, 0, -228, 0, 0, -186, 20, -366, 0, 0, -40, -120, -200, 0, 0, 128, -132, -420, 0, 0, -8, -16, -224, 0, 0, -40, -58, -364, 0, 0, 72, -54, 4, 0, 0, 68, 0, 86, 0, 0, -116, -530, -126, 0, 0, -584, -376, 228, 0, 0, -16, -522, 12, 0, 0, -278, -220, 448, 0, 0, -54, -376, 60, 0, 0, -320, -342, 272, 0, 0, -184, -494, -4, 0, 0, -352, -132, 28, 0, 0, -20, -126, 336, 0, 0, -208, -280, 144, 0, 0, -148, -70, 60, 0, 0, -174, 102, 280, 0, 0, -44, 6, 624, 0, 0, 372, 56, 424, 0, 0, 180, -102, 258, 0, 0, -132, -6, 612, 0, 0, 364, -4, 440, 0, 0, 348, 126, 536, 0, 0, 180, 32, 124, 0, 0, 500, 46, 224, 0, 0, -56, 332, 104, 0, 0, 468, 148, 724, 0, 0, -64, -350, 188, 0, 0, 280, -60, 306, 0, 0, 88, 176, 256, 0, 0, 158, 200, 320, 0, 0, -142, 18, 8, 0, 0, -680, 88, 102, 0, 0, -80, -100, 0, 0, 0, -604, 164, -200, 0, 0, -276, -100, -264, 0, 0, -312, 0, -194, 0, 0, -230, 16, -440, 0, 0, -78, 202, -304, 0, 0, -164, 338, -28, 0, 0, 116, 200, -616, 0, 0, -98, 422, -556, 0, 0, 594, 320, -88, 0, 0, -64, 222, -256, 0, 0, 288, -70, -722, 0, 0, -80, 280, -228, 0, 0, 828, -72, -156, 0, 0, 36, 242, 40, 0, 0, 416, 54, -132, 0, 0, -8, -70, -308, 0, 0, 232, -232, -8, 0, 0, -224, -10, 20, 0, 0, 460, -6, 616, 0, 0, -72, -512, 288, 0, 0, -178, -480, 304, 0, 0, -204, -436, -4, 0, 0, -56, -242, 248, 0, 0, -56, -462, 304, 0, 0, -616, -686, 24, 0, 0, -164, -76, 250, 0, 0, 112, 48, 60, 0, 0, -176, 60, 826, 0, 0, 140, -104, 428, 0, 0, 236, 392, 104, 0, 0, -80, -202, 120, 0, 0, 228, -188, 252, 0, 0, 56, 180, 256, 0, 0, 106, 46, 224, 0, 0, 344, 12, -244, 0, 0, -144, 224, 384, 0, 0, 204, 66, 212, 0, 0, 498, 14, 64, 0, 0, 622, 192, 124, 0, 0, 180, 320, 176, 0, 0, 612, 50, 88, 0, 0, -16, -14, -48, 0, 0, 128, 176, 12, 0, 0, -180, 146, -162, 0, 0, -216, 464, -372, 0, 0, -52, -36, -30, 0, 0, -254, 236, -418, 0, 0, 16, -8, -536, 0, 0, -236, 230, -576, 0, 0, -120, 164, -280, 0, 0, -808, 52, -880, 0, 0, -120, 112, -660, 0, 0, -492, 278, -598, 0, 0, -24, -182, -88, 0, 0, -172, -40, -32, 0, 0, -88, 158, -764, 0, 0, -242, -36, -928, 0, 0, -72, 10, 24, 0, 0, -536, 220, -720, 0, 0, 28, 108, -788, 0, 0, -114, -20, -230, 0, 0, -96, 72, -220, 0, 0, -592, -124, -608, 0, 0, -36, -456, -544, 0, 0, -700, -406, 76, 0, 0, -24, -372, -64, 0, 0, -1100, -16, 276, 0, 0, -160, -496, 306, 0, 0, -564, -350, -164, 0, 0, 20, -554, 28, 0, 0, -116, -152, 842, 0, 0, -142, -48, 328, 0, 0, 362, -408, 12, 0, 0, 440, 28, 502, 0, 0, -160, -132], "has_non_self_twist": 1, "char_values": [230, 22, [47, 51], [11, 10]], "Nk2": 920, "analytic_rank": 0, "char_orbit_label": "j", "weight": 2, "trace_display": [0, 0, 0, 0], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": true, "level_is_prime": false, "char_is_minimal": true, "self_twist_discs": [], "char_is_real": false, "level_is_prime_power": false, "relative_dim": 12, "hecke_cutters": [], "space_label": "230.2.j", "level": 230, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 23, 3, 1, 11, 0], [1, 1, 115, 10, 1, 22, 0]], "char_degree": 10, "char_conductor": 115, "char_orbit_index": 10, "hecke_orbit_code": 618508845286, "id": null, "is_polredabs": null, "trace_hash": null, "projective_field": null, "hecke_ring_index_proved": null, "embedded_related_objects": null, "field_disc_factorization": null, "field_poly_is_real_cyclotomic": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "trace_zratio": null, "hecke_ring_index_factorization": null, "artin_image": null, "nf_label": null, "field_poly": null, "atkin_lehner_string": null, "atkin_lehner_eigenvals": null, "field_poly_root_of_unity": null, "hecke_ring_index": null, "artin_field": null, "qexp_display": null, "field_disc": null, "hecke_ring_generator_nbound": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "fricke_eigenval": null, "trace_moments": null, "artin_degree": null}