# Stored data for newform 6027.2.a.be, downloaded from the LMFDB on 28 March 2024. {"label": "6027.2.a.be", "space_label": "6027.2.a", "level": 6027, "weight": 2, "hecke_orbit": 31, "hecke_orbit_code": 135107988854675339, "dim": 10, "is_polredabs": true, "trace_hash": 1537008600686077439, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [239, -372, -255, 526, 52, -266, 26, 56, -11, -4, 1]], [5, [-220, -444, 353, 994, -16, -534, 14, 106, -12, -6, 1]], [13, [-28, 156, 4269, 6838, -17290, -1016, 2122, 28, -82, 0, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+q^{3}+(2+\\beta _{2})q^{4}+(1+\\beta _{4}+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24108, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 48.12583729822569, "hecke_ring_index": 2, "level_radical": 861, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.009", "prec": 17}, "analytic_rank_proved": true, "char_values": [6027, 1, [4019, 493, 2794], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [3, 7, 41], "conrey_indexes": [1], "field_disc": 48367987010808832, "field_disc_factorization": [[2, 10], [47234362315243, 1]], "field_poly": [239, -372, -255, 526, 52, -266, 26, 56, -11, -4, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.086", "prec": 17}, {"__RealLiteral__": 0, "data": "8.425", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "192.366", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6899.800", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 10, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [7, -1], [41, -1]], "trace_display": [4, 10, 6, 0], "traces": [0, 10, 4, 10, 18, 6, 4, 0, 12, 10, 2, -2, 18, 0, 0, 6, 14, 8, 4, 6, 20, 0, 2, 0, 12, 10, 16, 10, 0, 16, 2, 2, 38, -2, -4, 0, 18, 24, -26, 0, 40, 10, 0, 8, -8, 6, 4, -8, 14, 0, 44, 8, -30, 24, 4, 0, 0, 6, -14, 6, 20, -14, -2, 0, 86, 28, 2, 26, -6, 0, 0, 14, 12, -36, 18, 10, -32, 0, 16, 20, 70, 10, 4, 40, 0, 24, -36, 16, 14, 2, 2, 0, 8, 2, -54, -24, 38, 16, 0, -2, 42, 10, -4, 16, 20, 0, 66, 0, 18, 28, 2, 24, 0, 20, -26, -76, 30, 0, 24, 0, 40, -18, -14, 10, -2, 54, 0, 4, 52, 8, 42, 14, -8, 0, 62, 6, -86, 52, 4, -2, 0, -8, -18, 56, 14, -16, -26, 0, 84, -2, 44, 18, -52, 8, 0, -10, -30, -28, 40, 24, 98, 0, 4, 16, 18, 0, -22, -8, 0, 34, -78, 6, 32, 8, -14, 0, -46, 6, -76, 40, 20, -24, 0, -14, -104, 12, -2, 2, -40, 0, -54, 2, 86, 34, 10, 28, 0, 30, 2, -36, 154, 26, -20, 0, -6, 6, 44, 0, 4, 64, 0, -52, -8, 14, 56, -26, 12, 0, 76, -36, -102, 48, 18, 10, 0, 10, -60, -8, -32, -42, -140, 0, -2, 6, 16, 30, 22, 20, 0, -12, 70, 20, 92, 10, -64, 0, 4, -16, -26, 40, 54, -16, 0, 22, -92, 24, 102, -16, -36, 0, -2, 16, -68, 72, 14, -18, 0, 2, 4, 64, 2, -56, -48, 0, 68, -96, 8, 84, -26, 2, 0, -10, -54, 26, 102, -24, -18, 0, 38, -6, -26, 16, -132, 12, 0, -48, -12, -2, 84, 24, 42, 0, 90, 10, -188, 36, -4, -44, 0, 16, -132, 62, 20, -16, -26, 0, 66, 2, 66, 52, 164, 0, 0, -58, 18, -16, 10, 28, 12, 0, 2, 40, 96, 24, -108, -10, 0, -52, -112, 20, -26, -12, -26, 0, 40, -76, -130, 58, 30, 22, 0, 0, -90, 44, 24, -86, -106, 0, 76, -8, 40, 22, -42, -18, 0, -48, -14, -18, -10, 10, 72, 0, -2, 0, 76, 54, -120, -32, 0, -32, -192, 4, 48, 18, 52, 0, -10, 8, -32, 28, 42, 60, 0, 14, -96, 56, -8, -94, -44, 0, 154, 130, 62, 84, -94, 6, 0, -56, -86, -12, 2, 52, 68, 0, 4, 28, 82, -2, 98, 14, 0, -62, -130, -8, 104, 12, -18, 0, 36, 56, -132, 88, 14, 42, 0, -16, 26, 34, -26, 6, -270, 0, 40, -26, 84, 110, -58, -2, 0, -14, 44, -2, -14, 18, 4, 0, -52, 20, 36, 8, -194, -12, 0, 2, -98, -10, -92, 6, -30, 0, 70, -28, -92, 34, 40, -94, 0, 24, -86, 50, 98, -102, -40, 0, 30, 34, 4, 60, 54, 16, 0, -86, 18, -28, -82, 0, 132, 0, -22, -30, 188, -8, -150, -36, 0, 26, 44, 34, -68, -6, -78, 0, 216, 6, -6, 16, 32, 26, 0, 8, -6, 46, -14, -108, 110, 0, 14, 24, -46, 34, 78, 6, 0, 0, -76, -20, -30, 40, 22, 0, 20, -8, 34, -24, -158, 16, 0, 46, 124, -14, -176, 162, -104, 0, 184, 12, -74, 46, -2, 36, 0, 2, -12, -66, -40, -30, 14, 0, 72, 54, -54, 26, 24, 2, 0, -126, 86, 20, -106, 34, -40, 0, 10, -80, 34, 28, -158, 36, 0, 30, -112, 30, 84, -40, 2, 0, 52, -36, -128, -92, 154, -42, 0, 26, -58, -66, -20, 6, -250, 0, -44, 92, -6, -16, 100, 6, 0, 142, 44, 10, -184, 0, 136, 0, 4, 62, 122, 64, -10, 30, 0, -132, 50, -52, -92, 16, -8, 0, 68, 14, 190, 12, 56, -154, 0, -26, 64, 54, 12, -126, -98, 0, 76, 130, 76, 80, 14, -36, 0, 16, -102, 112, -94, 48, 98, 0, 18, 78, -34, 10, 76, 116, 0, -2, -160, 10, -154, -24, -60, 0, -38, -8, -34, 10, -32, 82, 0, -42, 4, -26, -140, -98, -166, 0, 76, -10, -2, 8, 226, 6, 0, 6, 16, -60, -244, 30, 220, 0, 22, 42, -10, 20, -34, 158, 0, -108, 118, -12, -36, 150, 70, 0, 172, 20, -54, -50, 92, -62, 0, 10, -228, 118, -64, -84, -192, 0, -232, -38, 4, 20, 226, -16, 0, -56, -26, 68, -38, 40, 42, 0, 54, 42, -58, -16, -118, -110, 0, 146, -92, 22, -396, -6, -92, 0, 156, 24, -66, 0, 102, 34, 0, -16, 88, 38, -36, 34, -44, 0, -52, 6, -2, -84, -26, 16, 0, -46, -68, 94, 42, 72, 260, 0, 14, 138, -22, -18, -112, -12, 0, 28, 344, 2, -48, 120, 4, 0, -108, 64, -162, -44, 2, 60, 0, -56, -6, 38, -48, -120, -60, 0, 20, 138, 68, 68, 170, -96, 0, -132, 8, 4, -78, 84, 72, 0, -26, 82, 248, 2, 132, 18, 0, -74, -24, -10, -258, -158, -54, 0, 12, 26, -242, -28, 102, 76, 0, -24, 100, -90, -18, -58, -106, 0, 56, 114, 38, -124, 156, -6, 0, 18, -26, 64, 80, 16, 136, 0, -132, 36, -118, 12, -468, -30, 0, -12, -64, -48, -144, 134, -12, 0, 114, -2, 82, 46, 84, -98, 0, 24, -72, -24, 42, -158, 2, 0, 4, 194, 90, 48, -232, 10, 0, -158, -188, 24, -162, 36, 236, 0, -4, 42, -386, -44, -16, -150, 0, 28, -4, 16, -196, 56, -132, 0, 80, 62, -88, 26, 20, 38, 0, -16, 78, -60, -26, 0, 162, 0, 88, 22, 66, 88, -132, 2, 0, -34, 66, 88, -250, 52, 224, 0, 164, 82, 144, 0, 100, 234, 0, 18, 84, -58, -132, 12, 18, 0, -68, -16, -148, 54, 10, -120, 0, 28, -84, -34, 12, 50, 2, 0, -76, 84, 2, 106, 74, 40, 0, -8, 96, -180, -76, 24, 542, 0, -108, 102, -196, -10, 74, 54, 0, 40, -158, -52, 182, 116, -112, 0, -246, 20, 36, 46, -26, 120, 0, -12, 22, 10, -26, -36, 16, 0, 104, 60, 40, -16, -48, -76, 0, 82, -130, -60, -34, 58, 144, 0, 30, 228, 18, 22, 18, -54, 0, -238, -78, 0, -230, 8, -90, 0, -82, 44, 30, -2, 24, -84, 0, -86, 16, -100, -106, -78, 194, 0, -204, 26, 76, -116, 22, -8, 0, -142, 40, 32, -4, 22, 174, 0, -42, 56, -70, -18, 164, 90, 0, 100, -44, -48, -8, -140, -14, 0, -280, -18, 136, -80, -10, -84, 0, 10, 72, -148, 72, 48, -184, 0, -64, 14, -2, 24, 86, 0, 0, -180, 76, 6, -160, 54, 156, 0, -120, -16, -64, -32, -12, 10, 0, -230, 200, -32, 72, 126, -192, 0, 38, 4, -108, 70, 48, -178, 0, 18, -116, 146, 52, -166, 174, 0, -154, 74, -10, 6, -150, 8, 0, -36, -32, -40, -214, 28, -314, 0, 42, -136, -114, 60, -22, -98, 0, 46, 58, 14, -12, 112, -96, 0, 42, 56, -48, 82, -8, 16, 0, -94, 26, -32, -44, -94, -72, 0, -60, -106, 154, -140, -34, 130, 0, 28, 62, -128, -144, 84, 58, 0, -94, 142, 182, 6, -438, -106, 0, -126, -140, -56, -8, -116, -86, 0, -132, -12, 50, 34, 2, 56, 0, 52, -44, 94, 68, -140, 24, 0, -244, 112, 4, 124, 330, 28, 0, -34, 82, 174, -110, -2, 360, 0, 98, -88, -200, 14, 14, 26, 0, -80, -56, -62, 38, 154, -130, 0, -12, -8, -294, 2, 104, -28, 0, 12, 172, 134, -18, -72, 422, 0, -96, 66, 36, 164, -156, 56, 0, -22, -132, -116, 144, 88, 226, 0, 14, 72, -156, 42, 138, -66, 0, -196, -116, -16, -226, -52, 26, 0, -62, 34, 38, -138, -26, -158, 0, 6, -14, -38, -270, -184, -108, 0, 0, 136, 40, 104, 16, -26, 0, -36, 84, -14, 0, 110, 100, 0, -58, -36, 296, -2, 142, 10, 0, -68, -194, -14, -64, -68, 44, 0, -294, -2, -306, 130, -14, 164, 0, 18, -304, 8, 4, 50, 12, 0, -130, -20, -52, -130, 80, 20, 0, 50, 36, -120, 14, 8, -18, 0, -194, 140, 34, -12, -326, 226, 0, -74, 140, 2, -284, 134, -98, 0, -4, -10, 130, -60, -92, -160, 0, 6, -52, -34, -30, -66, -92, 0, -442, 150, 70, -52, 156, -28, 0, -156, -92, 66, -240, 34, 60, 0, 40, -36, -74, -94, -34, -92, 0, 92, -164, 24, -146, 94, -86, 0, -126, 50, -52, -34, 98, -38, 0, -102, 90, 14, -40, -82, -144, 0, 42, -136, 30, 88, -196, 34, 0, 24, 4, 134, -462, 60, 32, 0, 54, 96, 528, 16, -12, -62, 0, -220, -204, -86, -228, 40, 18, 0, 106, -28, 322, -128, -82, -320, 0, 0, -164, 66, 132, -44, -56, 0, -48, 46, -22, -46, 124, -30, 0, -170, 188, -94, 74, -8, -196, 0, -150, -72, -54, -36, -128, -104, 0, -64, -104, 26, -308, 24, 44, 0, -598, 34, 106, 138, -68, -26, 0, -6, 230, 2, -78, 84, 270, 0, 40, -106, 216, -56, -180, 6, 0, 124, -6, -72, -144, 16, 292, 0, 32, 64, -100, 26, -18, -240, 0, -24, 252, 8, -26, 220, -6, 0, -130, 46, 210, -94, -14, 70, 0, -108, -22, -36, 110, -112, 346, 0, -316, 168, 14, -44, 370, 24, 0, -134, -46, -26, -72, 34, -488, 0, 78, -8, 370, 6, -142, 180, 0, 100, -12, 0, 582, -32, -76, 0, 248, -20, 234, 230, -30, -174, 0, 40, -82, -334, 22, 188, -466, 0, 0, -210, 20, -32, 84, -8, 0, 22, 34, 110, -162, -24, 212, 0, -158, 58, -222, 16, 62, 38, 0, -132, 40, 46, -204, 50, 124, 0, -130, -14, 232, -18, -176, -98, 0, 162, -296, 32, -104, -190, 72, 0, -72, 124, 184, 64, -30, 12, 0, -182, -74, 10, -78, 46, 458, 0, -2, 118, 278, 36, 280, -18, 0, 10, -16, 2, 28, -68, -12, 0, -436, -66, -64, 18, -40, -282, 0, -30, 436, -78, 14, 138, -236, 0, -96, 126, 72, -80, -292, 54, 0, 28, -54, -158, 132, 26, -164, 0, 24, 92, 198, 2, -158, 48, 0, -108, 188, -126, 116, -104, 86, 0, -182, 20, 114, 194, -106, -196, 0, 34, 56, -40, -40, -222, -288, 0, 256, 82, 10, 124, 308, -80, 0, -104, 34, 178, -16, 28, -132, 0, -158, -48, -686, 36, 68, 8, 0, 156, 218, 30, 4, -10, -112, 0, -34, 30, 26, -102, 84, 128, 0, -40, 178, -80, 2, 74, -56, 0, -40, -62, 52, -158, -228, -36, 0, 78, -128, -70, -160, -92, -148, 0, 154, 142, 118, -42, -8, 150, 0, -44, -296, 26, -158, 110, -58, 0, -26, -66, -246, -198, -20, -48, 0, 6, -100, 156, -250, -134, 192, 0, 228, 198, -44, 146, 22, 92, 0, -88, -6, -136, 166, -16, -428, 0, 100, 100, -94, 6, 118, 286, 0, 58, 336, 142, 60, -36, 44, 0, -202, 10, -186, -82, -184, 60, 0, 0, -226, -112, 136, 30, 134, 0, 232, 10, 4, -28, 62, 62, 0, 70, 122, 30, -50, 64, 40, 0, -10, 8, 4, 30, 130, -124, 0, -12, 102, -132, -168, -46, 50, 0, -18, -52, -578, -36, -92, -194, 0, 16, 200, 140, -8, -74, 80, 0, -146, 26, 68, 16, -2, 14, 0, 194, 190, -22, 116, 12, -124, 0, 56, -8, -136, -154, 172, 222, 0, 122, -284, -26, 46, -198, 64, 0, -168, 54, 204, 164, 12, 172, 0, -126, 244, -28, -98, 34, -102, 0, -48, -58, 76, -86, -320, 130, 0, 12, 76, 132, -104, 80, 110, 0, 14, 76, 328, -36, 146, 36, 0, -34, 40, 16, 152, -262, -102, 0, -72, 112, 132, -260, -94, -208, 0, 48, -120, 92, 98, -126, -200, 0, 58, 272, 18, -108, 438, 78, 0, 128, -34, -28, -112, 10, -456, 0, 76, 224, -54, 116, -116, 108, 0, 228, 76, -2, -326, -26, -160, 0, 634, 10, -106, 234, -154, -242, 0, -24, -336, -72, -60, 74, 16, 0, 204, -94, -38, -144, -62, -8, 0, 138, -34, -292, 480, 10, 44, 0, -32, 68, 264, 82, -134, -132, 0, 4, 24, -42, 258, 188, 4, 0, 148, -26, -160, 186, -140, -232, 0, -98, 66, 52, -166, -210, -266, 0, 180, 256, 76, 68, -370, -10, 0, 32, -2, 44, 566, 8, 180, 0, 226, 128, 530, 6, 202, 44, 0, -164, -370, 6, -22, 106, 16, 0, 70, -60, -122, 150, -244, 18, 0, 30, 218, -140, 220, -36, 296, 0, 80, 94, 22, -4, 6, 42, 0, 174, -10, -152, -30, 20, -16, 0, -34, 192, 58, 158, 228, 168, 0, -12, -136, -108, 46, 136, 118, 0, -274, -12, -144, -20, -36, -140, 0, 150, 96, 168, 70, 0, -392, 0, 328, 146, 172, -44, -196, 20, 0, -170, -54, 24, -186, -50, -136, 0, 92, -290, 166, -62, 254, 50, 0, 158, 228, 10, 270, 232, -228, 0, 170, 118, -174, 108, -64, -84, 0, -84, -608, -26, -192, 26, 298, 0, 116, -332, -232, -198, -14, -38, 0, 96, 4, -62, 374, 20, 306, 0, 226, -34, 368, -16, -456, 188, 0, 90, 240, -56, 20, -94, -26, 0, 178, 68, 10, 194, -38, -230, 0, 40, -150, -78, 42, -260, 32, 0, -342, -90, 54, 48, 16, 42, 0, 0, -58, -164, -42, -16, -264, 0, -118, -60, 126, -110, 90, -88, 0, 196, -304, 146, 274, 258, -92, 0, 324, 22, 154, -302, -396, -138, 0, -6, 206, -60, -92, 250, -228, 0, 394, -22, 156, 88, -198, 24, 0, 44, -66, 50, -584, 0, 260, 0, 102, 72, 218, 34, 126, -20, 0, -108, -224, -16, 112, -206, 88, 0, 60, 38, -264, -94, -36, -180, 0, 34, 234, 122, -44, 106, 60, 0, -128, 244, -52, 300, -210, 6, 0, 208, -2, 172, -146, -84, -328, 0, -26, -160, 244, 16, 82, 384, 0, 132, -154, -46, -102, 60, -68, 0, 114, 94, 224, 276, 42, -266, 0, 72, 252, -196, 260, -76, -180, 0, 408, -326, 14, -108, -14, 138, 0, 26, -22, 164, 36, -18, 280, 0, -112, -44, -210, -12, 318, 272, 0, -102, -160, 28, -196, 216, 344, 0, 266, 2, -290, 50, -48, 170, 0, 120, 200, 88, 4, 170, 4, 0, -162, -2, -108, 6, 160, 64, 0, 50, -162, 234, -140, -44, -70, 0, 2, -60, -840, 60, 56, 116, 0, 48, 250, -56, -212, 134, -6, 0, -74, 38, -68, -54, -48, -436, 0, -120, -328, 54, -60, -32, 286, 0, -208, -40, 20, 80, 24, 138, 0, 158, 68, -76, 382, 68, 72, 0, 170, -44, 112, -96, 178, 162, 0, 200, -224, -132, 238, -94, 8, 0, 300, 4, 256, -146, -78, -166, 0, 84, -266, -250, 72, 82, -40, 0, 318, -14, -26, 20, 282, 82, 0, -188, 248, 270, -108, 2, 134, 0, 132, -134, 36, 18, 278, 196, 0, 104, 32, -74, -212, 4, -24, 0, 134, -10, 346, 152, -258, 66, 0, -158, 202, 100, -54, 0, -212, 0, -2, -96, 12, -150, -114, 26, 0, 104, -242, -178, 398, -28, -94, 0, 102, 174, -66, 76, 1034, -24, 0, 180, 14, -24, 38, 76, 100, 0, 382, -90, -498, 0, -18, -28, 0, -58, 0, -78, -106, -148, -266, 0, 352, -20, 56, 156, -386, 114, 0, -52, 38, 126, -20, -124, -234, 0, 156, -120, 98, -6, 22, -34, 0, 62, -4, 18, 312, 170, -26, 0, 118, 64, 164, -72, 80, -34, 0, 16, 60, -50, 136, 188, 86, 0, 168, 126, -132, -16, -250, 36, 0, 150, -118, 62, 10, 12, 52, 0, -468, 64, -392, -30, -46, -70, 0, -124, -8, -12, 346, -252, -64, 0, 444, -48, 30, -156, -144, -360, 0, 134, -220, 62, -12, 28, 60, 0, 230, -126, 114, -52, -146, -2, 0, -76, 82, 82, 316, 46, 630, 0, 84, -140, 276, -98, 256, 286, 0, 10, 16, 24, -80, -202, -72, 0, 80, -24, -346, 114, 42, -228, 0, -158, -566, -164, 2, 220, -4, 0, 84, 86, 4, 98, -26, 194, 0, 238, 90, -228, -376, 48, 516, 0, -232, 32, -206, 10, 310, 154, 0, -40, -132, -158, 268, 110, -188, 0, -64, 24, 292, 144, -162, -182, 0, 36, -280, 26, 236, 56, -318, 0, 152, 12, -4, 80, 28, 42, 0, 130, -386, -68, 162, -44, -284, 0, -16, -8, -648, -150, 274, -94, 0, -60, 122, 28, 30, 136, -4, 0, -172, 16, -126, 128, -196, 12, 0, 56, -6, -142, -132, 10, 630, 0, 68, -330, 80, 240, -304, 62, 0, -288, -88, 172, 164, 26, 108, 0, 20, 78, 16, 38, -156, -70, 0, -124, -506, -16, 116, -254, 78, 0, -120, -60, 506, -280, -26, -168, 0, 0, 228, 44, 162, 138, 370, 0, -62, -56, 88, 36, 92, 22, 0, -160, 66, 236, -52, 88, 272, 0, -132, -138, 522, 2, 74, 294, 0, 134, 452, -34, -112, 86, 66, 0, 290, 88, -88, 36, -250, 74, 0, 52, 176, -206, 224, -252, 166, 0, -184, -234, 164, -28, -20, 82, 0, 246, 144, -350, 426, 0, -206, 0, 100, -64, -594, 234, 34, -78, 0, 136, -316, 18, 228, 182, 84, 0, -56, -58, -174, 172, -132, 14, 0, 12, -346, 128, 18, -154, 12, 0, -616, 116, -68, 290, 26, -16, 0, -88, -148, 48, -72, 54, 72, 0, 10, -132, -86, -120, 252, -198, 0, 142, 40, 28, -208, -14, -84, 0, -108, -34, 106, 22, 12, -24, 0, 50, 60, 24, 2, -290, 608, 0, -196, -384, -76, 168, 6, 84, 0, 90, 2, 94, 56, 106, 250, 0, 74, 128, -190, 40, 260, 106, 0, 104, -318, -8, -46, -172, 96, 0, 208, -180, 126, -36, -76, -72, 0, 24, 264, 122, 542], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "6027.2.a.bd", "char_is_minimal": true, "conrey_index": 1, "id": null, "nf_label": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 0, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 1, -1, 1, 1, -1, 1], [0, 0, 0, 0, 0, 0, -1, 0, 0, 0], [2, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, -1, 0, 1, 1, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 0, 0], [2, 1, 2, -1, 1, 1, 0, 0, 0, 0], [1, 0, -1, 0, 1, 1, -1, -1, 0, -1], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, 0, -1, -1, 0, 0, 0, 1], [2, 1, 2, 2, 2, -1, 2, 1, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, -1, 0, 0, -2, -1, 0, -1], [0, 0, 0, 0, -1, 1, -1, -1, 0, 0], [1, 1, 1, 0, 0, 0, 0, 1, 1, 0], [1, 1, 0, 0, 1, 0, 1, 0, 1, 0], [2, -1, 0, -1, 1, 0, 0, 0, -1, -1], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -1, 1, 1, -1, -1, 0, 0, 0, 1], [0, 1, 1, 1, 1, -1, 1, 1, -1, 1], [1, 0, -1, -2, 0, 2, -1, -1, 1, 0], [3, 3, 1, -1, 1, 1, 1, 2, 1, 0], [0, 0, 0, 0, 0, 0, -1, 0, 0, 0], [-2, 1, -1, 1, -1, -1, 0, 1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 1, 0, 0, 0, 0, 0, 0, 0], [2, 0, 1, 1, 0, -1, 1, 0, -1, 0], [-2, -1, -1, -1, -1, -1, -1, -2, 0, 0], [0, 1, -1, 0, 1, 1, -1, 0, 0, 0], [3, 3, 2, 3, 3, -1, 4, 2, 0, 1], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, 0, 0, 2, -2, 0, 1, -2], [-1, 0, -1, -1, -2, 0, -3, -1, 1, -1], [1, 0, 0, 0, 1, 0, 0, 0, 0, 0], [-1, 0, -2, -2, -3, 0, -1, 0, 2, -2], [0, -1, 0, 1, 1, 0, 0, 0, -1, 1], [2, 1, 2, -1, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 1, 4, 2, 0, -2, 4, 2, -2, 3], [1, 0, -1, 0, 1, 1, -1, -1, 0, -1], [-4, 2, 0, 1, 0, 0, 0, 1, 1, 0], [1, 2, -1, -1, -1, -1, 2, 1, 0, 1], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -1, 1, -2, -2, 1, -1, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, 0, -1, -1, 0, 0, 0, 1], [-2, 1, 0, 0, -1, -2, 0, -1, 0, 0], [0, 1, -1, -1, 0, 2, 0, -1, 0, -1], [2, 1, 2, 2, 2, -1, 2, 1, -1, 1], [-1, 0, -1, 0, 1, 1, -2, 0, 1, -1], [-1, 0, -1, -4, -3, 1, 0, 1, 2, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 3, 2, 0, 2, 2, 2, 2, 1, 0], [2, 1, -1, -1, -1, -1, 2, 0, 0, 1], [1, -1, 0, -1, 0, 0, -2, -1, 0, -1], [1, 2, 0, 4, 0, -1, 1, 0, -1, 1], [1, -3, 0, 0, 0, 0, -1, -2, -1, 0], [0, 0, 0, 0, -1, 1, -1, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 2, 0, -2, 0, 1, 1, 0, 0], [1, 1, 1, 0, 0, 0, 0, 1, 1, 0], [-4, 0, -2, -1, 0, 2, -3, 0, 2, -3], [0, 4, 0, 3, 1, -1, 1, 1, 0, 1], [1, 1, 0, 0, 1, 0, 1, 0, 1, 0], [-3, -3, -2, 0, -3, -1, -3, -2, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -1, 0, -1, 1, 0, 0, 0, -1, -1], [1, 1, 1, 2, 1, -2, 1, 1, -2, 0], [5, 5, 5, 4, 3, -2, 8, 4, -3, 4], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [5, -2, 1, -1, -1, -1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -3, -1, -1, 0, 0, -1, -1, 2, -1], [-5, 2, -1, -2, -1, 3, -3, 0, 1, -3], [2, -1, 1, 1, -1, -1, 0, 0, 0, 1], [2, -3, -1, -2, -5, 1, -4, -3, 1, -1], [1, -1, -2, -1, 2, 0, 2, 1, 0, 1], [0, 1, 1, 1, 1, -1, 1, 1, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, -4, -1, -4, -3, 3, -5, -4, 1, -2], [1, 0, -1, -2, 0, 2, -1, -1, 1, 0], [-6, 0, -2, 1, 2, -2, 2, 1, -1, 0], [-2, -1, -3, -1, 0, 0, -3, -2, -1, -1], [3, 3, 1, -1, 1, 1, 1, 2, 1, 0], [2, 0, -2, -3, 0, 0, 1, -1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0, 0, 0], [2, 7, 3, 3, 4, -1, 5, 4, 0, 2]]}