# Stored data for newform 1160.2.bl.c, downloaded from the LMFDB on 01 May 2026.
{"Nk2": 4640, "analytic_conductor": 9.262646634468524, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 145, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 38, "char_orbit_label": "bl", "char_order": 4, "char_parity": 1, "char_values": [1160, 4, [871, 581, 697, 321], [4, 4, 3, 3]], "cm_discs": [], "conrey_index": 713, "dim": 42, "has_non_self_twist": 1, "hecke_cutters": [[3, [64, -576, -1424, 11264, 21416, -46628, -87360, 73780, 145428, -48756, -120422, 10245, 54506, 3088, -13882, -1979, 1950, 381, -140, -32, 4, 1]], [7, [8718953480192, 31948828311552, 58534985465856, 25055185403904, 59642023845888, 193909506056192, 346133017300992, 155893162500096, 126058470416384, 307026847875072, 515271014318080, 275771931287552, 75838558067712, 32900295614464, 96730932355584, 51357880756736, 12163648989184, -1369497832704, 6959110712064, 3366508188544, 766180315936, -247335623200, 260910209296, 102309622784, 22840283232, -9720269552, 5538880896, 1542961624, 337083072, -160803840, 64792452, 11222760, 2371296, -1174080, 378229, 36020, 7400, -3704, 1027, 40, 8, -4, 1]]], "hecke_orbit": 3, "hecke_orbit_code": 9009741908935816, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 145, 5, 1, 4, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "1160.2.bl.c", "level": 1160, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 5, 29], "level_radical": 290, "minimal_twist": "1160.2.s.d", "prim_orbit_index": 5, "related_objects": [], "relative_dim": 21, "rm_discs": [], "sato_tate_group": "1.2.3.c4", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1160.2.bl", "trace_display": [0, -8, -2, 4], "traces": [42, 0, -8, 0, -2, 0, 4, 0, 34, 0, 2, 0, 4, 0, -4, 0, 0, 0, 8, 0, 4, 0, -20, 0, 4, 0, -8, 0, 20, 0, 2, 0, -10, 0, 16, 0, -12, 0, 10, 0, -30, 0, 4, 0, -32, 0, -4, 0, 0, 0, 0, 0, 16, 0, 2, 0, 40, 0, 0, 0, 26, 0, 80, 0, 8, 0, 44, 0, 12, 0, 0, 0, 0, 0, 4, 0, 0, 0, -42, 0, 114, 0, -68, 0, 30, 0, -32, 0, 18, 0, 0, 0, 6, 0, -26, 0, -24, 0, 60, 0, -22, 0, 4, 0, -72, 0, -32, 0, -16, 0, -8, 0, 0, 0, 6, 0, -18, 0, -24, 0, 0, 0, -20, 0, -20, 0, 0, 0, -64, 0, -12, 0, -4, 0, -4, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -42, 0, 12, 0, -106, 0, 96, 0, 0, 0, -44, 0, -60, 0, 0, 0, 56, 0, 30, 0, 56, 0, 0, 0, -80, 0, 56, 0, -44, 0, 4, 0, 0, 0, 64, 0, 48, 0, 16, 0, 100, 0, -26, 0, 0, 0, 44, 0, -56, 0, 18, 0, -44, 0, -124, 0, -18, 0, 0, 0, 10, 0, 0, 0, 0, 0, 104, 0, 20, 0, -58, 0, -8, 0, -90, 0, 0, 0, 32, 0, 40, 0, 14, 0, 0, 0, 0, 0, -92, 0, 38, 0, -108, 0, 88, 0, -46, 0, 8, 0, -54, 0, -88, 0, 76, 0, -12, 0, -64, 0, -20, 0, 56, 0, -2, 0, -2, 0, 0, 0, 68, 0, 74, 0, 52, 0, -28, 0, -8, 0, -202, 0, 16, 0, -138, 0, -20, 0, -88, 0, -62, 0, -70, 0, 16, 0, 140, 0, -116, 0, 96, 0, 0, 0, -52, 0, 80, 0, -40, 0, 132, 0, -144, 0, 46, 0, -92, 0, -20, 0, -18, 0, 60, 0, 32, 0, 26, 0, -36, 0, -124, 0, -12, 0, 0, 0, 0, 0, -96, 0, -6, 0, 0, 0, 0, 0, -14, 0, -6, 0, 66, 0, -40, 0, 6, 0, 0, 0, 0, 0, -168, 0, 0, 0, -54, 0, 68, 0, 28, 0, -204, 0, -8, 0, -16, 0, 0, 0, -40, 0, -108, 0, 132, 0, 70, 0, 28, 0, -120, 0, -2, 0, 84, 0, 136, 0, 24, 0, 0, 0, -14, 0, -52, 0, -38, 0, 0, 0, 84, 0, 74, 0, 0, 0, 16, 0, -86, 0, -164, 0, 74, 0, 0, 0, 0, 0, -4, 0, 0, 0, 92, 0, 0, 0, 148, 0, 0, 0, 0, 0, 90, 0, -24, 0, -10, 0, 80, 0, 0, 0, -72, 0, -18, 0, 0, 0, 38, 0, 52, 0, 32, 0, 0, 0, 24, 0, -128, 0, 130, 0, -46, 0, 134, 0, 78, 0, 136, 0, 316, 0, -72, 0, 32, 0, 0, 0, 70, 0, -40, 0, 116, 0, -136, 0, -128, 0, -88, 0, 0, 0, 62, 0, 0, 0, 0, 0, 64, 0, 8, 0, 50, 0, 122, 0, -92, 0, 0, 0, -44, 0, 80, 0, -8, 0, 0, 0, 0, 0, -204, 0, 92, 0, -184, 0, 226, 0, 18, 0, -24, 0, 16, 0, -92, 0, 126, 0, -96, 0, 60, 0, -40, 0, 150, 0, -138, 0, 48, 0, 0, 0, 138, 0, 228, 0, 94, 0, -36, 0, 32, 0, -62, 0, 164, 0, -12, 0, -336, 0, 92, 0, -110, 0, 140, 0, -164, 0, 188, 0, 12, 0, 292, 0, 0, 0, -174, 0, -22, 0, 56, 0, 64, 0, 20, 0, -20, 0, 34, 0, 64, 0, 176, 0, 208, 0, 158, 0, -16, 0, -40, 0, -152, 0, -68, 0, 0, 0, 0, 0, -34, 0, -28, 0, 24, 0, 0, 0, 50, 0, 148, 0, 28, 0, -40, 0, 120, 0, 0, 0, 0, 0, -178, 0, 0, 0, 34, 0, 92, 0, -28, 0, 80, 0, -40, 0, -64, 0, 0, 0, 12, 0, 212, 0, -240, 0, 212, 0, -132, 0, -72, 0, -44, 0, 184, 0, 248, 0, 100, 0, 0, 0, 30, 0, -12, 0, -82, 0, 0, 0, 52, 0, 102, 0, 0, 0, 16, 0, -252, 0, -144, 0, 126, 0, 0, 0, 0, 0, -8, 0, 0, 0, -58, 0, 0, 0, 238, 0, 0, 0, 0, 0, -42, 0, -236, 0, -114, 0, 36, 0, 0, 0, -114, 0, -296, 0, 0, 0, 56, 0, 310, 0, 224, 0, 0, 0, -484, 0, 4, 0, 148, 0, -44, 0, -228, 0, 98, 0, -58, 0, 148, 0, 52, 0, -152, 0, 0, 0, 16, 0, -232, 0, -116, 0, 4, 0, -576, 0, 32, 0, 0, 0, 84, 0, 0, 0, 0, 0, 218, 0, -80, 0, -200, 0, 56, 0, -22, 0, 0, 0, 430, 0, -104, 0, 268, 0, 0, 0, 0, 0, 108, 0, -62, 0, -188, 0, 306, 0, -232, 0, 104, 0, -10, 0, -166, 0, 214, 0, -122, 0, -100, 0, -24, 0, 228, 0, -264, 0, -212, 0, 0, 0, 56, 0, 236, 0, -70, 0, 184, 0, 76, 0, -212, 0, 124, 0, -140, 0, 0, 0, -232, 0, 80, 0, 8, 0, 188, 0, 162, 0, 88, 0, 98, 0, 0, 0, -76, 0, -50, 0, -108, 0, 282, 0, 4, 0, 86, 0, -148, 0, -284, 0, 54, 0, -112, 0, 18, 0, -362, 0, 96, 0, -546, 0, 4, 0, 0, 0, 0, 0, -124, 0, -20, 0, 236, 0, 0, 0, 20, 0, 8, 0, -30, 0, 34, 0, 302, 0, 0, 0, 0, 0, -560, 0, 0, 0, -240, 0, 204, 0, 20, 0, 90, 0, -78, 0, 56, 0, 0, 0, -28, 0, -28, 0, 232, 0, 172, 0, -32, 0, -88, 0, -438, 0, 168, 0, -40, 0, 24, 0, 0, 0, -92, 0, -388, 0, 64, 0, 0, 0, 246, 0, -268, 0, 0, 0, 64, 0, -264, 0, -48, 0, 68, 0, 0, 0, 0, 0, -196, 0, 0, 0, 444, 0, 0, 0, 232, 0, 0, 0, 0, 0, 202, 0, -392, 0, -376, 0, 164, 0, 0, 0, -144, 0, 36, 0, 0, 0, 132, 0, -136, 0, 222, 0, 0, 0, -268, 0, -60, 0, -76, 0, -394, 0, 100, 0, 120, 0, 166, 0, 240, 0, -30, 0, 160, 0, 0, 0, -228, 0, 224, 0, -122, 0, -54, 0, -220, 0, 104, 0, 0, 0, 412, 0, 0, 0, 0, 0, 46, 0, 38, 0, 192, 0, 100, 0, -284, 0, 0, 0, -8, 0, 118, 0, 144, 0, 0, 0, 0, 0, -412, 0, -46, 0, -328, 0, 322, 0, -36, 0, -472, 0, 24, 0, -180, 0, -138, 0, -198, 0, 192, 0, -58, 0, 180, 0, -312, 0, -60, 0, 0, 0, 222, 0, 224, 0, -188, 0, -144, 0, -88, 0, -88, 0, 60, 0, -104, 0, -380, 0, 468, 0, -156, 0, 224, 0, -92, 0, 170, 0, -88, 0, 144, 0, 0, 0, -256, 0, -74, 0, -68, 0, 344, 0, -312, 0, 166, 0, -38, 0, -146, 0, 202, 0, 436, 0, 278, 0, -66, 0, 240, 0, -272, 0, 336, 0, 0, 0, 0, 0, 190, 0, -44, 0, -16, 0, 0, 0, 48, 0, 388, 0, -108, 0, 256, 0, 442, 0, 0, 0, 0, 0, -298, 0, 0, 0, 68, 0, 228, 0, -44, 0, 382, 0, -360, 0, -262, 0, 0, 0, 324, 0, -120, 0, -524, 0, 352, 0, -400, 0, 60, 0, 102, 0, -76, 0, 340, 0, 96, 0, 0, 0, -10, 0, 120, 0, -306, 0, 0, 0, 68, 0, 186, 0, 0, 0, 96, 0, -138, 0, -380, 0, 136, 0, 0, 0, 0, 0, -44, 0, 0, 0, 142, 0, 0, 0, 472, 0, 0, 0, 0, 0, 6, 0, -492, 0, -328, 0, 76, 0, 0, 0, -282, 0, -236, 0, 0, 0, 130, 0, 250, 0, 404, 0, 0, 0, -572, 0, -52, 0, -76, 0, -92, 0, 172, 0, 360, 0, 140, 0, 152, 0, 54, 0, 36, 0, 0, 0, 46, 0, -208, 0, 124, 0, -232, 0, -362, 0, 4, 0, 0, 0, -66, 0, 0, 0, 0, 0, 70, 0, -48, 0, -240, 0, -28, 0, -288, 0, 0, 0, 340, 0, -212, 0, 360, 0, 0, 0, 0, 0, -268, 0, 56, 0, -80, 0, 414, 0, -180, 0, 468, 0, -90, 0, -118, 0, 162, 0, -362, 0, 176, 0, -26, 0, 156, 0, 106, 0, -406, 0, 0, 0, 128, 0, 370, 0, 76, 0, -44, 0, 156, 0, -402, 0, 100, 0, -484, 0, 68, 0, -404, 0, 88, 0, -34, 0, -292, 0, 336, 0, -152, 0, 102, 0, 0, 0, -120, 0, 184, 0, -294, 0, 490, 0, -300, 0, 284, 0, -186, 0, -68, 0, 124, 0, 52, 0, -34, 0, -152, 0, 20, 0, -818, 0, 160, 0, 0, 0, 0, 0, -288, 0, -100, 0, 144, 0, 0, 0, -430, 0, -76, 0, 148, 0, -8, 0, 62, 0, 0, 0, 0, 0, -564, 0, 0, 0, 16, 0, -24, 0, 276, 0, -94, 0, -272, 0, -100, 0, 0, 0, 176, 0, -178, 0, 260, 0, 102, 0, -118, 0, -230, 0, -146, 0, 170, 0, 348, 0, -136, 0, 0, 0, 242, 0, -404, 0, 24, 0, 0, 0, -74, 0, 24, 0, 0, 0, -64, 0, -216, 0, -488, 0, 274, 0, 0, 0, 0, 0, -272, 0, 0, 0, 242, 0, 0, 0, 1008, 0, 0, 0, 0, 0, 376, 0, 96, 0, -122, 0, 588, 0, 0, 0, -84, 0, 174, 0, 0, 0, -26, 0, 72, 0, 296, 0, 0, 0, -300, 0, -312, 0, 148, 0, -210, 0, 78, 0, 278, 0, 380, 0, 336, 0, 32, 0, -20, 0, 0, 0, -104, 0, 136, 0, 60, 0, -180, 0, -860, 0, -20, 0, 0, 0, 632, 0, 0, 0, 0, 0, -336, 0, 20, 0, 272, 0, 486, 0, -220, 0, 0, 0, 76, 0, 166, 0, 460, 0, 0, 0, 0, 0, -472, 0, 62, 0, -416, 0, 510, 0, -224, 0, 116, 0, 30, 0, 36, 0, 314, 0, 12, 0, 340, 0, -292, 0, 148, 0, -356, 0, 26, 0, 0, 0, 554, 0, 484, 0, -44, 0, 612, 0, -252, 0, -86, 0, 368, 0, -160, 0, -312, 0, 560, 0, -4, 0, 16, 0, -376, 0, 316, 0, -152, 0, 568, 0, 0, 0, -372, 0, -24, 0, 100, 0, 32, 0, 20, 0, 226, 0, -88, 0, -302, 0, -38, 0, 416, 0, 418, 0, -392, 0, 440, 0, -548, 0, -112, 0, 0, 0, 0, 0, 122, 0, -24, 0, 58, 0, 0, 0, 42, 0, 396, 0, 174, 0, 208, 0, 704, 0, 0, 0, 0, 0, -470, 0, 0, 0, 32, 0, 76, 0, 84, 0, 304, 0, -436, 0, -172, 0, 0, 0, 234, 0, 220, 0, -472, 0, 698, 0, -100, 0, -164, 0, -90, 0, 228, 0, 506, 0, 360, 0, 0, 0, -116, 0, 230, 0, -380, 0, 0, 0, 320, 0, 208, 0, 0, 0, -160, 0, -192, 0, -412, 0, 284, 0, 0, 0, 0, 0, -408, 0, 0, 0, -64, 0, 0, 0, 696, 0, 0, 0, 0, 0, -306, 0, -572, 0, -640, 0, 640, 0, 0, 0, -380, 0, -412, 0, 0, 0, 534, 0, 136, 0, 508, 0, 0, 0, -688, 0, 88, 0, 304, 0, -368, 0, 52, 0, 616, 0, 506, 0, -88, 0, -44, 0, 86, 0, 0, 0, -84, 0, -348, 0, 150, 0, -268, 0, -532, 0, 310, 0, 0, 0, 228, 0, 0, 0, 0, 0, 92, 0, -88, 0, -394, 0, 112, 0, -312, 0, 0, 0, 168, 0, 56, 0, 390, 0, 0, 0, 0, 0, 288, 0, -66, 0, -832, 0, 944, 0, -222, 0, 524, 0, -468, 0, -186, 0, 340, 0], "weight": 2, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "field_poly_is_cyclotomic": null, "field_poly_is_real_cyclotomic": null, "field_poly_root_of_unity": null, "fricke_eigenval": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "is_polredabs": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}