# Stored data for newform 5733.2.a.be, downloaded from the LMFDB on 19 April 2024.
{"label": "5733.2.a.be", "space_label": "5733.2.a", "level": 5733, "weight": 2, "hecke_orbit": 31, "hecke_orbit_code": 135107988854675045, "dim": 3, "is_polredabs": true, "nf_label": "3.3.404.1", "trace_hash": 662379455216272550, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [6, -4, -2, 1]], [5, [7, 3, -5, 1]], [11, [2, 0, -4, 1]], [17, [14, -2, -4, 1]], [19, [-63, -3, 7, 1]], [31, [49, -41, -3, 1]]], "qexp_display": "q+(1-\\beta _{1})q^{2}+(2-\\beta _{1}+\\beta _{2})q^{4}+(2+\\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": 22932, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 45.77823547880004, "hecke_ring_index": 1, "level_radical": 273, "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": "0.006", "prec": 17}, "analytic_rank_proved": true, "char_values": [5733, 1, [2549, 1522, 5293], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 7, 13], "conrey_indexes": [1], "field_disc": 404, "field_disc_factorization": [[2, 2], [101, 1]], "field_poly": [-1, -5, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.830", "prec": 17}, {"__RealLiteral__": 0, "data": "0.315", "prec": 17}, {"__RealLiteral__": 0, "data": "21.125", "prec": 20}, {"__RealLiteral__": 0, "data": "4.281", "prec": 17}, {"__RealLiteral__": 0, "data": "231.411", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [7, -1], [13, -1]], "trace_display": [2, 0, 5, 0], "traces": [0, 3, 2, 0, 6, 5, 0, 0, 6, 0, 14, 4, 0, 3, 0, 0, 4, 4, 0, -7, 16, 0, -8, -1, 0, 4, 2, 0, 0, 7, 0, 3, 24, 0, -2, 0, 0, -10, 12, 0, 22, 6, 0, 9, 2, 0, -28, 17, 0, 0, 30, 0, 6, -13, 0, -4, 0, 0, 14, 22, 0, 24, -18, 0, 20, 5, 0, -14, 18, 0, 0, -4, 0, -5, -8, 0, 8, 0, 0, 1, 40, 0, -20, 23, 0, 2, -6, 0, -4, -11, 0, 0, -30, 0, 16, 5, 0, 3, 0, 0, 36, 18, 0, 4, 6, 0, -24, -20, 0, -20, 2, 0, 0, -11, 0, -29, -6, 0, 30, 0, 0, -17, 4, 0, 20, 9, 0, 20, 8, 0, 14, 12, 0, 0, -12, 0, 28, -22, 0, 6, 0, 0, 20, 4, 0, 21, -72, 0, -46, -6, 0, 22, 30, 0, 0, -15, 0, -2, -30, 0, 52, 0, 0, 16, -52, 0, 38, -21, 0, 3, 24, 0, -14, 8, 0, 0, -28, 0, -36, 31, 0, -32, 0, 0, -58, -18, 0, 10, 24, 0, 6, 12, 0, 22, 40, 0, 0, 44, 0, 14, 64, 0, -26, 0, 0, -14, 64, 0, 4, -26, 0, -39, -22, 0, -10, 3, 0, 0, 0, 0, -18, 4, 0, 13, 0, 0, 32, 32, 0, -4, -60, 0, -26, -13, 0, 33, 40, 0, 0, 42, 0, 1, -48, 0, 16, 0, 0, -7, 34, 0, 4, 18, 0, 26, 38, 0, 8, 56, 0, 0, 16, 0, 60, -15, 0, -37, 0, 0, -80, -58, 0, -4, 16, 0, -28, -22, 0, -9, 30, 0, 0, 2, 0, 0, 30, 0, -8, 0, 0, -31, 22, 0, -36, 35, 0, 52, -72, 0, 0, -1, 0, 0, 44, 0, 68, 28, 0, -23, 0, 0, 8, -16, 0, 72, 18, 0, 10, -6, 0, 0, 76, 0, 0, -4, 0, 4, 20, 0, -116, 0, 0, 0, 84, 0, 36, -26, 0, -45, 2, 0, 42, 24, 0, 0, -46, 0, -54, 32, 0, 19, 0, 0, 20, -24, 0, 16, -76, 0, -22, 52, 0, -2, -50, 0, 0, -77, 0, -42, -112, 0, -74, 0, 0, -22, -30, 0, 14, 7, 0, 18, 62, 0, 90, 48, 0, 0, 36, 0, 40, -2, 0, -2, 0, 0, 20, -29, 0, -1, -74, 0, 116, -14, 0, 3, 2, 0, 0, -12, 0, -1, -60, 0, -8, 0, 0, 61, 24, 0, 30, 12, 0, 38, -72, 0, -18, 6, 0, 0, -76, 0, -2, 24, 0, 38, 0, 0, 18, -53, 0, -12, -28, 0, -2, 47, 0, -47, 10, 0, 0, -16, 0, 32, 38, 0, 0, 0, 0, -28, 10, 0, -144, 6, 0, -8, -12, 0, -46, 90, 0, 0, 74, 0, 36, 24, 0, 46, 0, 0, 4, 13, 0, -10, -34, 0, -42, 43, 0, -30, -16, 0, 0, -8, 0, -20, 12, 0, -8, 0, 0, 12, 80, 0, 90, -12, 0, -8, -24, 0, 16, -37, 0, 0, -72, 0, 54, 68, 0, 18, 0, 0, 22, -20, 0, -44, 28, 0, 18, 38, 0, 14, -72, 0, 0, 6, 0, -30, -132, 0, -36, 0, 0, 4, 52, 0, 52, -20, 0, -33, -102, 0, 16, -27, 0, 0, -6, 0, 14, -24, 0, 9, 0, 0, 0, 42, 0, 21, -16, 0, 68, -29, 0, -59, 2, 0, 0, -84, 0, 18, -36, 0, -4, 0, 0, -2, -62, 0, -60, 75, 0, -13, 114, 0, -68, 17, 0, 0, 66, 0, -28, -33, 0, 38, 0, 0, 10, -65, 0, 24, -12, 0, 68, 17, 0, 20, -22, 0, 0, 22, 0, 4, 18, 0, -42, 0, 0, -7, 62, 0, 70, -38, 0, -40, 18, 0, -92, 58, 0, 0, 20, 0, 56, 17, 0, -36, 0, 0, 60, 78, 0, 14, 30, 0, 12, 102, 0, 72, -168, 0, 0, -27, 0, -47, -88, 0, 122, 0, 0, -1, 24, 0, -120, 44, 0, 11, -20, 0, 6, 18, 0, 0, 80, 0, -62, -70, 0, -50, 0, 0, -76, -13, 0, -69, -30, 0, 36, 36, 0, -32, -84, 0, 0, 81, 0, -4, -16, 0, -46, 0, 0, 8, 42, 0, -130, 25, 0, -4, 38, 0, 36, -20, 0, 0, -50, 0, -118, 8, 0, 54, 0, 0, -118, -8, 0, 97, 22, 0, -64, -16, 0, 100, -134, 0, 0, 10, 0, -6, 98, 0, 12, 0, 0, 61, 12, 0, 14, 66, 0, -9, -76, 0, 114, -27, 0, 0, 108, 0, 108, 22, 0, 11, 0, 0, 56, 42, 0, -22, 74, 0, 62, -102, 0, -28, -82, 0, 0, 16, 0, 3, 108, 0, -18, 0, 0, 24, -24, 0, -82, 14, 0, 8, 88, 0, 12, 62, 0, 0, -18, 0, -32, -63, 0, 32, 0, 0, 50, 36, 0, -65, 8, 0, -208, -32, 0, -60, -24, 0, 0, 60, 0, -4, 168, 0, 20, 0, 0, 15, -38, 0, -22, 4, 0, -12, -4, 0, -66, 5, 0, 0, -40, 0, 80, 32, 0, 27, 0, 0, -112, -16, 0, -70, -72, 0, 24, -20, 0, -46, -36, 0, 0, 32, 0, -14, 76, 0, -6, 0, 0, -46, 56, 0, -16, 68, 0, 8, 18, 0, -36, -56, 0, 0, -134, 0, 52, -45, 0, 9, 0, 0, 84, -61, 0, 2, 0, 0, 98, -82, 0, 49, 52, 0, 0, -63, 0, 8, 52, 0, -64, 0, 0, -44, -230, 0, -36, -4, 0, -42, -96, 0, 16, 53, 0, 0, 54, 0, 86, -20, 0, 40, 0, 0, 70, -33, 0, 110, 52, 0, -16, -12, 0, -5, 18, 0, 0, 65, 0, 102, 20, 0, -106, 0, 0, -2, -8, 0, -68, 58, 0, -40, -50, 0, 86, 16, 0, 0, 80, 0, -56, -42, 0, 14, 0, 0, 22, -1, 0, 64, -6, 0, 8, 53, 0, 16, 52, 0, 0, -60, 0, -8, 80, 0, 142, 0, 0, 10, 42, 0, -76, 19, 0, -38, 12, 0, 54, 40, 0, 0, -8, 0, 60, 6, 0, -158, 0, 0, -64, -104, 0, 1, 134, 0, 64, -55, 0, -24, -26, 0, 0, 12, 0, -88, 40, 0, -56, 0, 0, 4, -60, 0, 32, 82, 0, 76, -90, 0, -28, -111, 0, 0, 48, 0, -88, -2, 0, 38, 0, 0, -20, -34, 0, -34, -126, 0, -128, 26, 0, -44, -64, 0, 0, 23, 0, -5, -132, 0, 48, 0, 0, 10, 8, 0, -22, -6, 0, 26, -108, 0, -160, 31, 0, 0, -52, 0, -60, 30, 0, 2, 0, 0, -18, -80, 0, 62, 16, 0, -84, 23, 0, 17, -6, 0, 0, -40, 0, -97, -22, 0, 144, 0, 0, 64, 48, 0, 92, -56, 0, 32, 116, 0, -6, -68, 0, 0, 12, 0, -4, 6, 0, -58, 0, 0, -122, -17, 0, -20, -76, 0, -58, -11, 0, -100, -50, 0, 0, -26, 0, -59, 0, 0, -196, 0, 0, -27, -40, 0, -22, 22, 0, -30, 114, 0, 136, 5, 0, 0, -132, 0, -58, -103, 0, 94, 0, 0, 144, 2, 0, 46, -30, 0, -6, -40, 0, -30, -36, 0, 0, -33, 0, 10, -24, 0, -124, 0, 0, -101, -146, 0, 20, 11, 0, 31, 8, 0, 16, -26, 0, 0, -96, 0, -176, -42, 0, 54, 0, 0, -84, 5, 0, 59, -52, 0, 66, 36, 0, -54, -138, 0, 0, 61, 0, -32, -48, 0, 114, 0, 0, 108, 144, 0, -22, 109, 0, 3, 44, 0, -44, 2, 0, 0, -112, 0, 94, -50, 0, -22, 0, 0, -14, -68, 0, -57, -48, 0, 18, -45, 0, 110, -80, 0, 0, 58, 0, 8, 2, 0, 142, 0, 0, -71, -24, 0, 36, -16, 0, 48, -8, 0, 52, 12, 0, 0, 112, 0, -80, 18, 0, 3, 0, 0, -60, -17, 0, 11, 74, 0, -100, -44, 0, 13, 152, 0, 0, -30, 0, -19, 24, 0, 90, 0, 0, 4, -236, 0, -56, 40, 0, -94, 184, 0, -198, 70, 0, 0, 6, 0, -142, 48, 0, -34, 0, 0, 124, 24, 0, 69, 42, 0, -28, -44, 0, -27, -174, 0, 0, -64, 0, 14, 8, 0, -24, 0, 0, 39, -188, 0, -76, -15, 0, -83, 148, 0, 56, -20, 0, 0, -116, 0, 72, 2, 0, 90, 0, 0, 42, 48, 0, 2, -114, 0, -32, 94, 0, 46, -128, 0, 0, -16, 0, -20, 148, 0, 138, 0, 0, 38, -180, 0, -104, 54, 0, -3, 2, 0, 14, -70, 0, 0, 130, 0, 10, -35, 0, -36, 0, 0, -44, -67, 0, -14, -172, 0, -10, -78, 0, 22, -128, 0, 0, -17, 0, 70, -242, 0, -62, 0, 0, -25, 66, 0, -18, -11, 0, -2, -116, 0, 84, 56, 0, 0, 120, 0, -232, -30, 0, -10, 0, 0, -112, 33, 0, -2, 54, 0, 32, -18, 0, -29, 4, 0, 0, 5, 0, -25, 154, 0, 116, 0, 0, -16, -6, 0, 98, 90, 0, -40, 86, 0, 138, 84, 0, 0, 116, 0, 130, -60, 0, -24, 0, 0, 192, -18, 0, -16, 164, 0, 30, -45, 0, -69, 78, 0, 0, 62, 0, 30, 68, 0, -4, 0, 0, -68, 86, 0, 148, -109, 0, -58, 120, 0, -96, -34, 0, 0, 18, 0, -62, 134, 0, 55, 0, 0, 84, 53, 0, -17, -118, 0, 128, 7, 0, 6, -32, 0, 0, 41, 0, -98, 4, 0, 48, 0, 0, 22, -192, 0, -8, 20, 0, 120, -12, 0, 136, 46, 0, 0, -16, 0, -98, 72, 0, -132, 0, 0, 20, 80, 0, 56, -120, 0, -122, 42, 0, 45, -32, 0, 0, 9, 0, -8, -4, 0, 64, 0, 0, -82, -24, 0, -136, -36, 0, -12, -388, 0, -144, 41, 0, 0, -46, 0, 96, 0, 0, 20, 0, 0, 12, -88, 0, 49, -82, 0, 282, 0, 0, 21, 8, 0, 0, 33, 0, -45, 18, 0, -24, 0, 0, -76, 146, 0, -168, 165, 0, 145, 24, 0, 110, -65, 0, 0, -54, 0, 14, -57, 0, 128, 0, 0, -96, -122, 0, -32, 80, 0, 196, 12, 0, -38, 86, 0, 0, 104, 0, 90, -92, 0, 76, 0, 0, 28, -96, 0, -150, -15, 0, 34, 204, 0, 48, -22, 0, 0, -68, 0, 92, -94, 0, 68, 0, 0, -72, -32, 0, 82, -12, 0, 116, -65, 0, 6, -140, 0, 0, -72, 0, -74, -188, 0, 12, 0, 0, 131, -52, 0, 48, 146, 0, -70, -154, 0, 28, 96, 0, 0, 94, 0, -88, 78, 0, 88, 0, 0, -278, -22, 0, -72, 78, 0, 24, 124, 0, 8, 78, 0, 0, 12, 0, 88, -4, 0, -34, 0, 0, 102, -18, 0, 52, -52, 0, 6, 184, 0, -232, -14, 0, 0, -144, 0, 40, 53, 0, -66, 0, 0, -82, 34, 0, -170, -54, 0, 110, -32, 0, -28, -120, 0, 0, -20, 0, -78, 84, 0, -292, 0, 0, 65, 40, 0, 20, 128, 0, -38, -204, 0, 34, 18, 0, 0, 84, 0, 6, 4, 0, 7, 0, 0, 134, 76, 0, 26, 182, 0, 2, -9, 0, 89, 78, 0, 0, -52, 0, -128, 74, 0, 66, 0, 0, 21, 176, 0, 168, 24, 0, -4, 30, 0, 60, -58, 0, 0, -72, 0, 148, -5, 0, 70, 0, 0, 150, 120, 0, -91, 222, 0, -44, -108, 0, 156, 12, 0, 0, -114, 0, 6, -126, 0, -46, 0, 0, 74, -138, 0, 136, 7, 0, 47, 36, 0, -112, -6, 0, 0, 194, 0, 92, 66, 0, 60, 0, 0, 72, 14, 0, 42, 128, 0, 16, -84, 0, 36, 26, 0, 0, 20, 0, 22, 12, 0, -240, 0, 0, 84, 216, 0, 2, -88, 0, -52, 30, 0, 32, -78, 0, 0, -102, 0, -60, -25, 0, -61, 0, 0, -128, -14, 0, -96, 120, 0, 14, 30, 0, -75, 132, 0, 0, -21, 0, -2, 12, 0, 48, 0, 0, -121, 64, 0, 6, -15, 0, 150, 36, 0, -82, 71, 0, 0, 56, 0, 178, -32, 0, -96, 0, 0, 28, 14, 0, 38, -140, 0, -192, 96, 0, -2, -84, 0, 0, 7, 0, 115, -32, 0, -196, 0, 0, -23, -30, 0, 156, 6, 0, -40, 96, 0, 0, -30, 0, 0, -16, 0, 2, -114, 0, 118, 0, 0, -72, 114, 0, -110, -20, 0, 52, 146, 0, -17, -64, 0, 0, 86, 0, 38, -60, 0, -80, 0, 0, -10, 128, 0, 140, 57, 0, -66, 84, 0, -150, 34, 0, 0, 46, 0, -216, 136, 0, -29, 0, 0, 176, -97, 0, 16, -102, 0, -64, 8, 0, 76, 14, 0, 0, -39, 0, 146, -52, 0, 34, 0, 0, 18, 18, 0, -208, -66, 0, -18, -216, 0, 4, 125, 0, 0, -38, 0, -12, 90, 0, 48, 0, 0, 38, -22, 0, -6, -114, 0, -194, 2, 0, 68, 104, 0, 0, -21, 0, -42, 24, 0, -8, 0, 0, 66, 94, 0, 102, -50, 0, -59, -146, 0, -26, 102, 0, 0, -172, 0, 192, 44, 0, 3, 0, 0, -60, 4, 0, -107, 36, 0, -88, 148, 0, -30, 24, 0, 0, -42, 0, 11, -18, 0, -58, 0, 0, -4, -90, 0, 64, -126, 0, -32, 40, 0, 88, -111, 0, 0, -44, 0, -14, -17, 0, 92, 0, 0, 30, 33, 0, 68, -82, 0, -48, 8, 0, 52, 124, 0, 0, 32, 0, -28, 12, 0, 200, 0, 0, 149, 184, 0, 128, 43, 0, 24, 116, 0, 44, -66, 0, 0, -202, 0, -48, -47, 0, -68, 0, 0, -26, 24, 0, -8, -28, 0, -62, -75, 0, -26, 30, 0, 0, 2, 0, -5, -344, 0, -16, 0, 0, -30, 94, 0, -64, -32, 0, -12, -54, 0, -36, -104, 0, 0, 36, 0, -48, -6, 0, 104, 0, 0, -160, 31, 0, -74, -18, 0, 22, -168, 0, 176, -92, 0, 0, -36, 0, 70, -156, 0, -150, 0, 0, -98, 160, 0, 130, -69, 0, -32, 96, 0, -58, 68, 0, 0, 168, 0, -134, -16, 0, 8, 0, 0, -72, -108, 0, 73, 96, 0, 56, 39, 0, 60, 132, 0, 0, -34, 0, 180, 156, 0, 166, 0, 0, -74, 108, 0, -58, -36, 0, -93, -158, 0, 22, 19, 0, 0, -244, 0, 92, -18, 0, 23, 0, 0, -100, 47, 0, -46, 86, 0, 20, -54, 0, 60, -188, 0, 0, 56, 0, 114, -94, 0, -182, 0, 0, 10, 48, 0, -90, 50, 0, -102, 90, 0, -40, 36, 0, 0, 24, 0, 180, -33, 0, 109, 0, 0, -72, 16, 0, 14, -306, 0, -184, 26, 0, 36, 254, 0, 0, -26, 0, 178, 140, 0, 6, 0, 0, 33, 176, 0, -48, -59, 0, 148, 112, 0, -160, 12, 0, 0, 48, 0, -244, 28, 0, -93, 0, 0, 94, 92, 0, 64, -132, 0, 50, 176, 0, -136, 84, 0, 0, -78, 0, 22, 168, 0, 184, 0, 0, -88, -112, 0, 84, -18, 0, 105, 40, 0, -116, -86, 0, 0, 24, 0, 82, 12, 0, 66, 0, 0, -212, 74, 0, 96, 84, 0, -172, -88, 0, 23, -204, 0, 0, 35, 0, 166, -28, 0, -16, 0, 0, 81, -70, 0, -120, 44, 0, 20, -38, 0, 18, -34, 0, 0, 300, 0, 48, 31, 0, 112, 0, 0, -212, 72, 0, 25, 96, 0, 12, -8, 0, 14, 194, 0, 0, 176, 0, 16, 158, 0, -16, 0, 0, -135, 64, 0, 26, -20, 0, -76, 32, 0, 0, 28, 0, 0, 296, 0, -156, -104, 0, 4, 0, 0, 180, -39, 0, 136, -56, 0, -26, -40, 0, 80, -102, 0, 0, 96, 0, 10, -166, 0, 174, 0, 0, 14, -6, 0, -60, 62, 0, 198, -200, 0, -114, 36, 0, 0, -102, 0, 260, 28, 0, -141, 0, 0, 68, -29, 0, -14, -122, 0, -26, 52, 0, -160, 204, 0, 0, -56, 0, 34, 64, 0, -420, 0, 0, 104, 40, 0, -54, 2, 0, -70, -216, 0, 134, 83, 0, 0, -306, 0, 30, 200, 0, 0, 0, 0, 4, -128, 0, 52, -38, 0, 92, 92, 0, 15, -174, 0, 0, -26, 0, -208, 92, 0, 72, 0, 0, 58, 104, 0, 36, -28, 0, 75, -180, 0, 144, -141, 0, 0, 36, 0, -318, -70, 0, -39, 0, 0, 52, 180, 0, 37, -90, 0, 12, -9, 0, -87, -22, 0, 0, -33, 0, -54, 108, 0, -180, 0, 0, -66, -200, 0, -42, -8, 0, 144, 108, 0, 232, 155, 0, 0, 90, 0, -10, 87, 0, -108, 0, 0, -92, -73, 0, -118, 106, 0, 20, 3, 0, -80, 210, 0, 0, 132, 0, -25, 130, 0, -108, 0, 0, -68, -18, 0, -58, 15, 0, 186, 72, 0, 56, 21, 0, 0, 68, 0, -208, 124, 0, 58, 0, 0, 76, 96, 0, 38, 0, 0, -30, -171, 0, -12, 244, 0, 0, -47, 0, -35, -56, 0, -196, 0, 0, -44, 20, 0, 4, -47, 0, -43, 76, 0, -18, -30, 0, 0, -92, 0, -96, 156, 0, -56, 0, 0, 156, 4, 0, -61, -90, 0, -138, -34, 0, 62, 68, 0, 0, -58, 0, -88, -84, 0, -156, 0, 0, -48, -94, 0, -208, -122, 0, 13, 20, 0, -12, -36, 0, 0, -54, 0, -60, 15, 0, -160, 0, 0, -98, -2, 0, 32, 46, 0, -330, -32, 0, -50, -10, 0, 0, 98, 0, 34, -30, 0, 220, 0, 0, 53, 48, 0, 32, -124, 0, 24, -224, 0, -112, 101, 0, 0, -4, 0, 204, 32, 0, 50, 0, 0, 230, 11, 0, -80, -344, 0, -174, -41, 0, -41, -112, 0, 0, 28, 0, 99, -72, 0, 108, 0, 0, -4, 68, 0, 210, -60, 0, 98, 108, 0, -168, 164, 0, 0, -60, 0, -76, 94, 0, -39, 0, 0, 140, 4, 0], "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": "637.2.a.h", "char_is_minimal": true, "conrey_index": 1, "id": 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], [1, 0, 0], [1, -1, 0], [0, 0, 0], [2, -1, 1], [2, -1, 0], [0, 0, 0], [0, 0, 0], [2, -2, 2], [0, 0, 0], [5, -2, 1], [1, 1, 0], [0, 0, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0], [2, -4, 2], [1, 0, 1], [0, 0, 0], [-2, -2, 1], [6, -5, 3], [0, 0, 0], [-2, -1, -1], [-1, 3, -1], [0, 0, 0], [2, -3, 1], [1, -1, 0], [0, 0, 0], [0, 0, 0], [3, 0, -2], [0, 0, 0], [0, 1, 2], [8, -2, 2], [0, 0, 0], [0, -3, 1], [0, 0, 0], [0, 0, 0], [-3, 1, -2], [3, 0, 3], [0, 0, 0], [8, -8, 6], [2, 4, -4], [0, 0, 0], [3, 2, -2], [0, 2, 0], [0, 0, 0], [-9, 3, -4], [6, 0, -1], [0, 0, 0], [0, 0, 0], [10, -4, 4], [0, 0, 0], [2, -1, 1], [-5, 1, 1], [0, 0, 0], [-1, 0, -1], [0, 0, 0], [0, 0, 0], [5, 1, -2], [8, -1, -1], [0, 0, 0], [8, 2, -2], [-5, -4, 1], [0, 0, 0], [8, -4, 0], [2, -1, 0], [0, 0, 0], [-4, 2, -4], [6, -2, 2], [0, 0, 0], [0, 0, 0], [-1, -3, 2], [0, 0, 0], [-4, 6, 1], [-4, 7, -3], [0, 0, 0], [4, -5, 1], [0, 0, 0], [0, 0, 0], [-1, 2, 2], [14, -10, 8], [0, 0, 0], [-6, 6, -8], [8, -3, 2], [0, 0, 0], [1, -3, 2], [-1, 1, -4], [0, 0, 0], [-2, 2, 0], [-4, 4, -3], [0, 0, 0], [0, 0, 0], [-12, 11, -5], [0, 0, 0], [7, -4, -1], [1, -2, 4], [0, 0, 0], [2, -4, 1], [0, 0, 0], [0, 0, 0], [14, -12, 6]]}