# Stored data for newform 3381.2.a.y, downloaded from the LMFDB on 19 April 2024.
{"label": "3381.2.a.y", "space_label": "3381.2.a", "level": 3381, "weight": 2, "hecke_orbit": 25, "hecke_orbit_code": 108086391090449717, "dim": 5, "is_polredabs": true, "nf_label": "5.5.3176240.1", "trace_hash": 1121003410495286940, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-9, 19, 7, -9, -1, 1]], [5, [-36, 53, -8, -13, 2, 1]], [11, [4, 7, -26, -16, 2, 1]], [13, [-40, -145, -104, -17, 4, 1]]], "qexp_display": "q+\\beta _{1}q^{2}-q^{3}+(2+\\beta _{2})q^{4}-\\beta _{3}q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 13524, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 26.9974209233949, "hecke_ring_index": 1, "level_radical": 483, "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": "0.008", "prec": 17}, "analytic_rank_proved": true, "char_values": [3381, 1, [2255, 346, 442], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 7, 23], "conrey_indexes": [1], "field_disc": 3176240, "field_disc_factorization": [[2, 4], [5, 1], [39703, 1]], "field_poly": [-9, 19, 7, -9, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.438", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "56.287", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1153.059", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [7, -1], [23, -1]], "trace_display": [1, -5, -2, 0], "traces": [0, 5, 1, -5, 9, -2, -1, 0, 3, 5, 0, -2, -9, -4, 0, 2, 1, -2, 1, -8, -12, 0, -16, 5, -3, 5, -16, -5, 0, 4, 0, -12, 7, 2, -10, 0, 9, -6, 8, 4, -30, -6, 0, -24, 16, -2, 1, -24, -1, 0, -3, 2, 4, 2, -1, -8, 0, 8, 4, -16, 12, -22, -6, 0, -29, 22, 16, -16, -14, -5, 0, 16, 3, 0, 8, -5, -30, 0, 16, 12, 6, 5, -24, -10, 0, -14, -20, -4, -8, 16, 0, 0, 9, 12, 32, 18, -7, 4, 0, -2, 3, -16, 10, 20, -38, 0, -50, 10, -9, -2, -14, 6, 0, 30, -8, -2, -28, -4, -28, 0, 30, -19, 74, 6, -36, -42, 0, -10, -27, 24, -12, -18, -16, 0, 34, 2, 4, 16, -1, -44, 0, 24, 6, 28, 1, 30, -54, 0, -50, 10, 3, -20, -10, -2, 0, -16, -4, 44, 10, -2, -18, 0, 1, 6, -20, 8, -30, -22, 0, -15, -34, -8, -32, 10, -4, 0, -6, 16, 18, -18, -12, -48, 0, 22, 3, 28, 6, 0, -20, 0, -48, 4, 29, -46, -16, -22, 0, 42, -16, -14, 49, 16, -16, 0, 14, -48, 48, 5, 0, -22, 0, 24, -36, -16, -8, 30, -3, 0, 20, 0, 28, -14, -8, 8, 0, 5, 38, -10, 30, 22, 0, 0, -26, -16, -16, -48, -2, -12, 0, -6, -6, -48, -31, -5, -4, 0, 24, -4, 10, 10, 26, -36, 0, -2, -38, 14, -27, 8, 20, 0, 76, 4, 36, -2, 8, -8, 0, -16, 12, -6, 0, -24, 44, 0, -50, -4, -9, -4, -46, -12, 0, -10, -32, -6, 2, -18, -34, 0, 7, -5, 94, -4, -112, 16, 0, 12, -20, 2, -86, -4, -3, 0, 4, 16, 62, 2, -10, -72, 0, -20, 28, -58, 38, 44, 84, 0, -36, 36, 50, -40, -30, -10, 0, 58, 9, -56, 70, 2, 24, 0, 14, 68, -14, -6, -64, -22, 0, -34, -59, -30, -70, -6, 8, 0, -50, 2, 44, 42, 28, -44, 0, 4, 12, -46, 28, -4, -6, 0, 16, -8, -30, -3, -108, 19, 0, 12, -74, 14, 1, -6, 156, 0, 36, -10, 22, 42, 80, -10, 0, 4, -40, 10, -20, 18, 27, 0, 66, -24, -6, 76, 12, -2, 0, 18, 44, -96, 16, 40, 26, 0, -19, -60, -34, -22, -10, -2, 0, -46, -4, -20, 42, -16, 88, 0, 1, 18, -6, 44, 36, 34, 0, 14, 4, -24, -42, 38, -6, 0, 42, -28, -12, -30, -1, 40, 0, -30, 82, -8, 54, -56, 0, 0, -12, 108, 50, -16, -78, -10, 0, 48, -3, 16, 56, 20, 92, 0, 10, 26, -114, 2, -12, 48, 0, 36, -58, 16, -46, 10, 4, 0, -36, -44, -40, 36, -10, -22, 0, 2, 112, 18, 18, -18, 76, 0, -73, -58, -1, -84, 72, -6, 0, -28, 20, -60, -12, -8, -16, 0, 30, -30, -34, 22, -32, -6, 0, 0, -16, 15, -84, 84, 34, 0, 19, 8, -8, -24, 32, -4, 0, -10, 64, 44, 4, -20, -4, 0, -56, 30, 6, 5, 28, -16, 0, -32, -18, -48, 56, 18, 76, 0, 12, 50, 50, 48, 86, 38, 0, -2, 42, -22, 36, -30, -3, 0, -148, -28, -68, 58, -6, 66, 0, 0, 90, -168, 20, 24, 30, 0, 10, 22, 48, -20, 54, -4, 0, 5, -29, 12, 135, 46, 74, 0, 16, 10, -66, 22, 4, -6, 0, 20, 36, -42, -118, 140, 16, 0, 82, 14, -16, -24, -49, -84, 0, -16, -24, 80, 16, -56, 34, 0, -94, -52, -14, -54, -58, 48, 0, 48, -48, -78, -10, -5, 48, 0, 0, -39, 124, 22, 92, -110, 0, -40, 106, -24, 102, -42, 36, 0, -6, 16, 92, 4, 8, -2, 0, -30, 110, -84, 3, 58, 62, 0, 10, -48, -20, -88, -34, 0, 0, -58, -28, -4, -68, 14, -48, 0, 8, 4, 44, -8, 48, -34, 0, -18, -82, -5, 13, 96, -38, 0, -62, 10, 70, 10, -30, -16, 0, -22, -4, 2, 0, -28, 164, 0, 38, 46, 26, 52, 162, 16, 0, -18, 16, -68, -10, 48, 64, 0, 2, -106, 92, 12, 34, -12, 0, 44, -72, 6, 4, 18, 6, 0, -11, 48, -158, -24, 31, 108, 0, 5, 180, -6, 4, 144, 74, 0, 7, 10, -24, 28, 134, 4, 0, 16, -10, -52, -192, -10, 52, 0, -26, 16, 8, 36, 88, 108, 0, 62, 0, 2, 14, -40, 38, 0, 20, -14, 150, 70, 27, -132, 0, -8, 46, -6, -20, 44, 42, 0, -6, -14, -76, -36, -10, -4, 0, -16, -36, 26, 92, 2, -16, 0, -8, -32, -136, 8, 70, -48, 0, 20, 51, 16, -58, -58, -12, 0, 98, 6, -16, 106, 0, 16, 0, 24, 42, -24, -44, 28, 118, 0, -40, 78, 50, -98, 72, 4, 0, -60, 9, 56, 66, 4, -40, 0, 46, -64, 24, 12, 176, -4, 0, -13, -22, 10, 2, -6, 32, 0, 12, 6, 64, -6, -2, 60, 0, 18, 40, -4, 34, 76, 124, 0, 0, -32, -7, -4, 40, 5, 0, -70, -94, -12, -18, 4, 8, 0, 112, -106, 10, -16, 0, -52, 0, 2, -18, -12, 36, 22, 20, 0, 216, -2, 56, 28, 86, 66, 0, 4, 90, -6, 3, 108, 56, 0, 14, -22, -4, -96, -28, -16, 0, -4, -62, 36, 8, -2, 42, 0, 10, -60, -30, 72, -92, -40, 0, -18, -12, 20, -56, 24, -28, 0, 10, 58, -22, -8, -38, -4, 0, -44, -84, -24, -84, -6, -66, 0, 30, -28, 36, -46, 106, -36, 0, 124, -50, -148, 116, 40, 154, 0, 30, -91, 198, 10, -106, -60, 0, -40, -111, -58, 104, -36, -9, 0, 44, 56, 54, 144, -70, -56, 0, -2, -54, -90, -24, 40, -160, 0, -16, -24, -14, -74, 12, -68, 0, -192, 14, -12, -170, 6, 40, 0, 64, -64, -148, 22, -144, 48, 0, -26, 160, 34, 16, 34, 59, 0, 4, 30, -20, -34, 70, 76, 0, 6, -15, 104, -8, -166, 88, 0, -92, -14, 50, -66, 148, -2, 0, -40, -44, -180, -14, -42, 4, 0, -28, -28, -96, 44, 124, 34, 0, 10, -56, -4, 60, 134, -12, 0, 1, 46, -20, -64, -28, 14, 0, 4, 98, 2, 6, 34, 46, 0, -92, 186, -16, -76, 18, 8, 0, 54, 30, -24, -14, 3, -64, 0, 108, -46, 62, -19, -256, -88, 0, -68, -190, -12, -34, -102, 74, 0, -42, -14, -90, -26, -1, 20, 0, 6, -10, 0, -156, 38, -92, 0, -42, 78, -36, 54, 18, 10, 0, -64, -22, 52, -50, -42, -6, 0, -80, -40, -92, 10, 86, 0, 0, 6, -62, -4, -58, -132, 40, 0, 90, -10, -78, 24, 20, 28, 0, -18, -3, -118, -27, 80, -40, 0, 5, -72, -66, 58, 98, 24, 0, 50, 6, 30, -10, -76, -68, 0, -12, -112, 128, 2, -48, 68, 0, 30, 34, -18, 164, -6, -44, 0, -130, 96, 52, -82, -16, -36, 0, -40, -34, 8, -26, -46, 4, 0, 86, 66, 19, 58, -114, 60, 0, 94, 34, -50, -104, 22, -12, 0, 10, -82, 0, 2, 48, -12, 0, 2, -62, 46, 112, 4, 4, 0, 180, 20, -216, -122, -42, 20, 0, 16, -162, -90, -88, -60, -2, 0, 44, 86, -1, -42, -182, -18, 0, -26, 6, 150, -111, -44, 112, 0, -36, 60, 100, -34, -252, -62, 0, -56, 106, -14, 76, -8, -4, 0, 206, 24, 242, 74, 42, -104, 0, -38, -24, -80, 6, -56, 28, 0, 38, 54, -42, 104, -174, 28, 0, 0, 12, -32, 86, 30, -120, 0, 1, -150, -6, -40, -136, -48, 0, -56, 94, 30, 58, -52, -82, 0, -150, 8, 64, 38, -54, -104, 0, 56, 16, 34, 0, 42, -84, 0, 116, 56, 12, -28, -72, -108, 0, 18, -50, 26, 4, 16, 0, 0, 78, -24, 74, 10, 120, 210, 0, -52, -134, -48, -22, -64, 3, 0, -53, -16, 138, 136, -56, -16, 0, -20, 28, -10, -92, -76, -62, 0, -122, -34, -10, 139, 18, -26, 0, 44, 114, 24, -34, -2, 18, 0, 12, -84, 44, -48, 48, -10, 0, 44, 90, -36, 116, -18, 58, 0, 102, -16, -200, -26, 46, 8, 0, -10, 14, -22, -4, -60, -166, 0, 132, 50, 36, -56, -260, 44, 0, -20, 40, 104, -94, -36, 2, 0, 10, -16, -178, 22, -6, 30, 0, 84, -56, -2, -50, 114, -112, 0, -178, -18, -232, -12, -18, -4, 0, 18, -89, 124, -76, -158, -86, 0, -162, 78, 73, 58, 80, 58, 0, 92, 1, -62, 34, 84, 28, 0, -72, -28, 40, 6, -84, -18, 0, 80, -29, 28, 76, -54, -20, 0, -72, 60, 204, 42, 12, -86, 0, 8, 104, 36, 16, 32, 100, 0, -98, 124, -30, 22, 30, 30, 0, -58, 34, 112, -130, -22, -60, 0, 32, 60, 50, 6, -52, 50, 0, -158, 32, 0, 192, -14, 16, 0, -70, -15, 144, 182, 84, -44, 0, -84, 128, 66, -34, -148, -6, 0, 30, -88, -19, -28, 4, -8, 0, -16, 8, -40, 126, 24, -102, 0, -32, -118, -66, 4, -90, -50, 0, 56, 210, 10, 136, -134, -64, 0, -24, -44, -14, -244, -4, 180, 0, 20, -64, 112, 4, 76, -166, 0, 4, -58, 56, 88, -350, -30, 0, 14, -6, -34, 26, -5, 40, 0, -28, 6, 218, 16, 224, -80, 0, -2, 92, 32, 83, 112, 18, 0, -234, 48, 46, 26, -56, -100, 0, -18, -72, 42, -76, 98, -182, 0, -12, -96, -12, -18, -134, -50, 0, 10, -50, -48, -138, -48, -210, 0, -86, 16, -44, -38, -108, 10, 0, 148, -32, 2, 22, 42, -42, 0, 110, 22, 44, -6, -36, -68, 0, 30, -44, -12, 3, -20, -18, 0, 154, 12, 148, 64, 224, 28, 0, -108, 68, 24, -170, -58, 64, 0, 6, 0, 116, -66, -22, 0, 0, -65, 183, 0, -58, 174, -90, 0, -130, 168, -74, -172, -20, -136, 0, -24, 162, 146, -30, 40, 104, 0, 8, -92, -10, -6, 116, -22, 0, 86, -48, 4, -68, 20, -168, 0, -54, -172, -188, 4, 184, -78, 0, 24, 58, -5, 264, -80, 29, 0, -222, -12, 300, -24, -135, 86, 0, -46, 118, -4, -74, -120, 124, 0, 170, 218, -16, -96, -30, -10, 0, -48, 66, 134, 62, -22, -252, 0, -4, -112, -10, 6, 104, -8, 0, 196, -26, -20, -32, -40, -36, 0, 252, 42, -148, 38, 118, -28, 0, -140, 74, 44, -16, -72, -156, 0, -44, 98, -82, -26, -94, -14, 0, -72, 16, 48, 54, 24, -80, 0, 49, 142, 174, 84, -34, 8, 0, 112, 96, 16, 228, -154, 24, 0, -66, -80, 86, 12, -16, -44, 0, 56, -128, -4, -34, 88, -14, 0, -38, 6, 94, -20, -138, 52, 0, 26, 14, 152, 2, 54, 6, 0, 58, -84, -34, -48, 68, 54, 0, -53, -292, -48, 102, 28, 48, 0, -16, 78, -48, 102, 10, -64, 0, 5, -76, 96, -48, 8, -282, 0, 36, 42, 0, -42, -180, 39, 0, 162, -124, -184, 16, -22, -88, 0, -92, -84, -24, 110, -68, -64, 0, 24, -10, 40, 316, -140, -106, 0, 226, 24, 50, 100, -102, 100, 0, 42, 186, 24, -36, -10, -76, 0, 158, 18, 6, -14, 310, -16, 0, -172, -92, 8, -51, -4, -4, 0, -8, 84, -18, 2, -312, -90, 0, -34, 36, 30, 47, 96, -110, 0, -28, 84, 178, 44, -3, -44, 0, -58, 30, -46, -62, 20, -158, 0, -86, -14, -10, -44, 8, 48, 0, -94, 20, 120, -106, 88, -206, 0, 34, -52, -120, 0, -230, -122, 0, 252, 78, 58, -20, -78, 28, 0, -266, 4, 140, -36, 68, 104, 0, -14, -26, 46, 48, 78, -106, 0, 46, 34, -8, 16, 76, -4, 0, -134, -44, 136, -82, 8, -92, 0, -48, 140, -16, 34, 220, -22, 0, 58, -176, 18, 236, 44, 82, 0, -8, 5, -88, 2, -13, 8, 0, -96, -178, -110, 38, -78, 244, 0, 8, 96, 62, -96, 64, -10, 0, 36, -70, 16, -49, -10, -108, 0, 30, -76, 102, 16, -112, 52, 0, 110, -112, 22, 4, -154, 4, 0, -168, -2, -232, -164, 0, 88, 0, 28, -18, -42, -164, 26, -56, 0, 76, 142, -38, -64, 168, -46, 0, -90, -26, 12, 18, -52, -68, 0, -162, -10, 118, -16, -34, -62, 0, 32, -142, 18, 48, -122, -16, 0, 76, 68, -164, 126, 10, 32, 0, -48, 9, 138, -64, -96, -38, 0, 134, 72, -2, 56, 114, 106, 0, -78, -92, -124, -74, -12, 40, 0, -34, -58, -26, 12, -8, -52, 0, 40, -198, -44, 292, 40, 72, 0, 74, -6, 128, 12, -4, 88, 0, -18, 52, -24, -6, 98, 32, 0, 54, -100, 11, -36, -86, -48, 0, 88, 158, 102, -314, 24, -42, 0, -31, -8, -26, -108, 90, 74, 0, 18, 20, -5, 82, 72, -180, 0, -28, 6, -212, 36, -4, 148, 0, -144, 52, -14, -74, -116, -146, 0, 112, -24, -7, 69, 50, -10, 0, 42, 24, 40, -138, -28, -78, 0, -134, -38, 26, -4, -136, 70, 0, 156, 22, -16, -32, 4, 10, 0, -106, 52, 114, 112, 192, 52, 0, 10, -52, -40, -52, -42, -4, 0, 150, 96, 26, -64, -298, -16, 0, 14, -8, 24, 24, -36, -120, 0, -88, 100, 50, -108, -56, -20, 0, 118, -162, -62, -24, 84, 0, 0, 118, -2, -204, -6, -14, 108, 0, 40, -136, 194, -38, 78, 58, 0, 118, -90, -20, 54, -160, 14, 0, -86, -150, 120, 3, -70, 96, 0, -27, -52, -26, 132, 156, 34, 0, 136, 11, 8, 224, -246, -46, 0, -234, 6, 128, -50, 20, -16, 0, -44, 76, 14, -42, 12, -150, 0, 162, -158, 6, 58, 140, 14, 0, -12, 76, 112, 88, 36, 32, 0, 10, 66, -178, 4, -8, 206, 0, 24, -22, 16, 100, -14, 36, 0, 170, -26, -260, -112, -92, 76, 0, -2, 62, 20, 16, -240, 184, 0, 88, 110, 8, -82, -150, 32, 0, 76, 136, 6, -162, -8, -114, 0, -70, -218, -342, 48, -38, 64, 0, 38, -186, -20, -96, 52, -51, 0, -26, -16, -332, -126, 58, 44, 0, 58, -108, -30, 12, -94, -146, 0, 36, 16, -98, 6, 128, -6, 0, -26, 16, 130, 14, -106, 140, 0, 0, 22, -8, -16, 180, -6, 0, 126, -50, -24, 60, -50, -42, 0, -316, 24, 292, -130, 44, 120, 0, -28, -202, 118, -118, -12, 30, 0, -78, 32, 40, 10, -52, -78, 0, -6, -50, 8, -92, 98, 164, 0, -72, 62, -242, -4, 24, 178, 0, 202, 74, 60, 60, -116, -9, 0, -102, -56, -8, 122, -66, -96, 0, -4, 72, -136, 40, -100, -34, 0, -53, -74, -46, -168, 368, 64, 0, -2, -24, 12, -4, -12, 60, 0, -176, 70, -312, 4, -238, 112, 0, -210, 144, 13, -40, -22, 22, 0, 224, -10, -14, -216, -2, -96, 0, 6, 136, 134, -32, -148, 78, 0, 6, -268, -12, -56, -210, -6, 0, -78, -64, -188, 74, 6, -164, 0, 2, -54, -28, -60, 246, 4, 0, 88, 300, -18, 112, -72, -40, 0, -360, 4, -4, 6, -34, 0, 0, -76, 250, 104, -124, 234, 82, 0, 12, 48, 0, -120, -354, 32, 0, 100, 7, -108, -86, 4, -34, 0, -40, 30, -58, -5, 156, -70, 0, 36, -270, 70, 212, 112, 94, 0, -326, 12, -420, 152, 18, 20, 0, -4, -280, 102, -8, 56, 154, 0, 186, 146, -112, 16, 254, 106, 0, 4, -10, 56, -236, 16, 12, 0, 0, -68, 310, 52, 194, -2, 0, 236, -56, -2, -14, -86, 18, 0, 164, 12, -46, 2, -36, 18, 0, -22, 176, 74, -20, 88, 122, 0, -28, -56, -216, -166, 82, 2, 0, 74, -56, -56, -148, -28, 128, 0, -86, -80, -254, -66, 348, 120, 0, -86, 106, -4, -112, 92, -90, 0, -256, 6, -26, -16, -3, 152, 0, -108, 31, 4, -56, -88, 46, 0, 72, -14, -14, 46, -28, 22, 0, 4, 4, -156, 96, 96, 204, 0, 28, -162, -252, 16, 76, -22, 0, 0, -158, 4, 44, -160, 62, 0, 347, -36, 40, 8, -8, 84, 0, 2, 184, -2, -42, -128, 158, 0, 76, 114, -10, 54, 142, 60, 0, 6, 30, -44, 48, -72, 52, 0, 92, -140, 78, 40, 98, 162, 0, 16, 182, 18, -48, 80, 12, 0, 338, -20, 24, -19, 56, -224, 0, -24, 148, -102, 28, -52, -56, 0, 108, -120, -10, -42, 272, -58, 0, -6, 22, 56, 16, 8, 74, 0, 38, -15, 240, 4, -132, 34, 0, 24, -96, 44, 124, -8, 84, 0, -96, 24, -132, -44, 84, 80, 0, 6, 150, -244, 66, 116, -352, 0, -306, 46, -30, 144, -26, 28, 0, 80, -36, -44, 288, 46, -144, 0, -106, -128, -36, 36, 140, 252, 0, 22, -84, -124, 34, -52, 50, 0, 130, 148, -182, 276, -116, 60, 0, -40, -44, 68, -154, -42, 12, 0, -240, -18, -30, 52, 164, 91, 0, 48, -198, 68, -19, -10, 152, 0, 106, 4, -246, 60, -166, 58, 0, 196, -106, 40, -34, 204, 111, 0, 186, 58, 246, -60, -104, 0, 0, 36, -140, -32, 9, 176, -86, 0, 92, -10, -44, -180, 38, -56, 0, -182, -54, 128, -244, -144, 216, 0, 70, 96, 48, 56, -194, -286, 0, -116, 418, 2, -27, 84, 54, 0, -280, 90, -32, -94, 24, 132, 0, -40, -22, 112, 160, -46, 174, 0, -58, -10, 16, -80, 338, 24, 0, 106, 14, 240, 114, 74, -310, 0, -12, 136, -112, 68, 196, -66, 0, -32, -288, 192, 142, -48, -14, 0, -12, 12, -88, 142, 170, 60, 0, -6, 10, -238, -40], "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": "3381.2.a.y", "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, 0, 0], [1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [-1, 0, 0, 0, 0], [2, 0, 1, 0, 0], [0, 0, 0, -1, 0], [0, -1, 0, 0, 0], [0, 0, 0, 0, 0], [0, 1, 0, 1, 0], [1, 0, 0, 0, 0], [0, -1, -1, 0, -1], [0, -1, 1, 0, 0], [-2, 0, -1, 0, 0], [0, -1, 1, -1, 0], [0, 0, 0, 0, 0], [0, 0, 0, 1, 0], [0, 1, 0, 0, 1], [-1, 0, -1, 1, 1], [0, 1, 0, 0, 0], [-2, 1, -1, 0, 1], [-1, -2, 1, -2, -1], [0, 0, 0, 0, 0], [-4, 1, -1, 1, 0], [1, 0, 0, 0, 0], [0, -1, 0, -1, 0], [0, 0, -1, 2, 0], [-4, 0, -2, 1, -1], [-1, 0, 0, 0, 0], [0, 0, 0, 0, 0], [1, 0, -1, -1, -1], [0, 1, 1, 0, 1], [-3, 0, -1, 1, 0], [1, -1, -1, 1, 1], [0, 1, -1, 0, 0], [-3, 0, -1, 2, 2], [0, 0, 0, 0, 0], [2, 0, 1, 0, 0], [-1, 0, -1, -1, -2], [1, -2, -1, 2, 1], [0, 1, -1, 1, 0], [-5, -1, 0, -2, -1], [-2, -1, -1, 2, 0], [0, 0, 0, 0, 0], [-4, -1, 1, -1, 0], [4, -2, 0, -1, 1], [0, 0, 0, -1, 0], [0, 1, 0, 0, 0], [-6, 2, 0, 2, 0], [0, -1, 0, 0, -1], [0, 0, 0, 0, 0], [0, 1, 2, -1, 2], [1, 0, 1, -1, -1], [3, -4, 1, -3, 0], [0, -2, -2, 1, 1], [0, -1, 0, 0, 0], [-1, -1, 2, 0, 0], [0, 0, 0, 0, 0], [2, -1, 1, 0, -1], [3, -2, 1, -4, -2], [-2, -2, 2, -1, -1], [1, 2, -1, 2, 1], [-5, 4, 1, 0, 0], [0, -3, 1, -1, 1], [0, 0, 0, 0, 0], [-7, 0, -2, 2, 0], [4, -1, 1, 2, 0], [4, -1, 1, -1, 0], [-3, 1, 2, 0, -2], [-4, 0, 0, 3, 2], [-1, 0, 0, 0, 0], [0, 0, 0, 0, 0], [3, 0, -1, 0, -1], [0, 1, 0, 1, 0], [-1, -2, -5, 1, 0], [6, -5, 3, -7, -3], [0, 0, 1, -2, 0], [-7, 1, 0, 2, 1], [0, 0, 0, 0, 0], [4, 0, 2, -1, 1], [-1, 2, -5, 5, 2], [1, -4, -3, 1, -1], [1, 0, 0, 0, 0], [-4, -1, 1, -1, 2], [-1, -2, 1, -1, -1], [0, 0, 0, 0, 0], [-3, -1, -2, 0, 1], [-4, -4, -2, 1, -1], [-1, 0, 1, 1, 1], [-3, 2, -3, 1, 0], [3, 0, -1, 0, -3], [0, -1, -1, 0, -1], [0, 0, 0, 0, 0], [2, 0, 1, 0, 0], [3, 0, 1, -1, 0], [8, -4, 4, 0, 2], [2, -2, -4, 3, 0], [-1, 1, 1, -1, -1], [0, -1, -1, 2, -1], [0, 0, 0, 0, 0], [0, -1, 1, 0, 0], [-2, 3, -2, 4, 1]]}