# Stored data for newform 2415.2.a.p, downloaded from the LMFDB on 23 April 2024.
{"label": "2415.2.a.p", "space_label": "2415.2.a", "level": 2415, "weight": 2, "hecke_orbit": 16, "hecke_orbit_code": 67553994444114287, "dim": 6, "is_polredabs": true, "nf_label": "6.6.42978136.1", "trace_hash": 211075434262876851, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-9, -7, 16, 6, -8, -1, 1]], [11, [758, 936, 35, -182, -27, 6, 1]], [13, [2394, -1628, -117, 250, -31, -6, 1]]], "qexp_display": "q+\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2})q^{4}-q^{5}-\\beta _{1}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 9660, "fricke_eigenval": -1, "atkin_lehner_string": "+++-", "analytic_conductor": 19.283872088139212, "hecke_ring_index": 1, "level_radical": 2415, "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": [2415, 1, [806, 967, 346, 1891], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 7, 23], "conrey_indexes": [1], "field_disc": 42978136, "field_disc_factorization": [[2, 3], [5372267, 1]], "field_poly": [-9, -7, 16, 6, -8, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.462", "prec": 17}, {"__RealLiteral__": 0, "data": "0.342", "prec": 17}, {"__RealLiteral__": 0, "data": "81.770", "prec": 20}, {"__RealLiteral__": 0, "data": "15.024", "prec": 20}, {"__RealLiteral__": 0, "data": "1936.406", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, 1], [7, 1], [23, -1]], "trace_display": [1, -6, -6, -6], "traces": [0, 6, 1, -6, 5, -6, -1, -6, 3, 6, -1, -6, -5, 6, -1, 6, -5, 16, 1, 0, -5, 6, -10, 6, -3, 6, 3, -6, -5, -4, 1, 0, 2, 6, -3, 6, 5, -4, 22, -6, -3, 4, 1, -16, -13, -6, 1, 38, 5, 6, 1, -16, 24, 24, -1, 6, -3, 0, 2, 2, 5, -4, 26, -6, 7, -6, 10, -30, 54, -6, 1, -6, 3, 38, -7, -6, 3, 6, -3, -14, 5, 6, 56, 22, 5, -16, 48, 4, -21, 20, -1, -6, 5, 0, 40, 0, -2, 4, 1, -6, 5, -2, 3, 4, 6, -6, -14, 14, -5, -12, 10, 4, 5, 28, -22, -6, 56, 6, -22, -16, 3, 24, -15, -4, 30, -6, -1, -20, 19, 16, -3, 8, 13, 0, -3, 6, 28, 56, -1, -28, 5, -38, 68, 20, -5, 4, -30, -6, -34, 8, -1, -28, 67, 16, 10, 0, -24, 22, -6, -24, -2, -6, 1, -24, 19, -6, -60, 64, 3, 20, 3, 0, 17, 18, -2, -6, -50, -2, 52, -12, -5, -6, -3, 4, 3, 4, -26, 16, 40, 6, -22, -18, -7, -6, 34, 6, 5, 4, -10, 0, 3, 30, 41, 4, -54, -4, 42, 6, -7, 46, -1, -32, 66, 6, -14, 16, -3, 0, -40, -38, 13, 32, 7, 16, -2, 6, 12, -22, -3, 50, -1, -6, 6, 8, 3, -38, -77, 14, 3, 6, -5, -16, 0, -6, -8, -6, -56, 58, 26, -22, -1, 48, -5, -6, 4, 16, -65, 74, -48, 4, -24, -4, -5, 8, 21, -24, -22, -20, -68, 36, 1, 14, 1, 6, 10, -6, -5, 48, -26, 0, 3, -76, -40, -28, -36, 0, -107, -4, 2, 56, -2, -4, -47, 60, -1, -2, -18, 6, -27, 6, -5, 16, -18, 2, 12, 4, -3, 48, 13, -4, -26, -16, -6, -2, 6, 6, 48, 90, 14, -90, -7, -14, -1, 18, 5, 6, -80, 12, -85, -38, -10, -32, -7, -4, 14, 30, -5, -4, -7, -28, -54, -12, 22, -6, 9, 6, 48, 12, -56, 36, -1, -6, -2, 26, 22, 6, 8, 16, -64, 22, -3, 64, 24, -24, -24, -38, 15, 12, -5, 4, 7, -24, -30, -72, -57, 6, 28, 74, 1, -6, -3, 20, -63, 14, -19, -6, -14, -16, 16, -32, 3, 16, 3, -8, -14, 14, -13, 26, -72, 0, -5, 72, 3, -72, 78, -6, -2, 46, -28, -12, -56, -56, 52, -2, 1, -22, 62, 28, -147, -6, -5, -78, 58, 38, 60, 16, -68, 4, -114, -20, -48, -66, 5, 14, -26, -4, -30, 0, 30, 26, 21, 6, -58, 64, 34, -20, -105, -8, -7, -22, 1, -14, 28, 28, -5, 6, -67, -36, 40, -16, -5, -74, -10, -6, 84, 0, 26, 2, 24, 30, -40, -22, 61, 70, 6, 0, -54, 24, 28, 60, 2, 50, -85, 6, -27, -4, -1, -62, -164, 24, -1, 8, -19, 14, 19, 6, 34, 6, 60, 20, -5, -64, 22, -52, -3, 2, -10, -20, 28, 10, -3, -38, -87, 0, 76, -4, -17, -56, 7, -18, -6, -18, 2, 58, -24, 6, -82, 88, 50, 6, 14, 2, -3, 50, -52, -14, -96, 12, -172, -6, 5, -14, -56, 6, 44, 12, 3, -74, -46, -4, -10, -62, -3, 14, 122, -4, -68, -68, 26, -58, -5, -16, -4, 48, -40, -28, -62, -6, -42, 12, 22, -14, -123, 18, -56, 6, 7, 82, -3, 6, -56, -22, -34, 30, -107, -6, -50, -22, -5, 4, 22, -4, -41, 38, 10, 16, -16, 0, 3, -34, -3, 2, -48, -30, -3, -24, -41, -8, -40, -4, 15, 42, 54, -26, -24, 4, 21, 62, -42, -74, -30, -6, 4, -20, 7, 6, -98, -46, -60, -76, 1, 26, 16, 32, 53, 20, -66, 6, -82, -6, -19, -48, 14, 110, -5, -16, 177, 70, 3, 0, 3, 0, -20, 18, 40, -8, -34, 38, -40, 76, -13, -36, 71, -32, -139, 0, -7, -4, 82, -16, 3, 14, 2, 8, -23, -6, -72, 8, -12, -4, -28, 22, 20, 10, 3, -56, -1, -50, 10, 182, 1, -72, 44, 6, 83, 28, -6, -34, 102, -8, -5, -20, -3, 52, 72, 38, -110, 2, 77, 22, -68, -14, 102, 0, -3, -20, 92, -6, -111, -62, 5, -4, -176, 16, 93, -4, 0, -116, -6, 6, 30, 66, 8, 76, 50, 6, 2, 170, 56, -40, 34, -58, 14, 80, -26, -8, -62, 22, -169, -14, 1, -92, -14, -48, 116, 28, 5, 26, 132, 6, -67, 40, -4, 12, -18, -16, 71, -2, 65, -48, -10, -74, 124, 80, 48, 0, -152, -4, -123, -22, 24, 58, -3, 4, -5, -22, 5, 0, -46, -8, 6, -28, -21, -42, 78, 24, -24, 80, 22, 90, 2, 20, 126, 26, 68, 6, 2, -36, 106, -10, -1, 40, -56, -14, -25, 24, -1, 94, 28, -6, -19, 26, -10, -84, 140, 6, 22, -6, 5, 80, 60, -48, 7, 16, 26, -64, -132, 0, -190, -28, -3, 130, 84, 76, 25, -20, 40, -24, 0, 28, -3, -4, 36, 16, 15, 0, -86, -44, 107, 68, -17, 4, -125, 116, -2, -18, 0, -56, -30, 72, 2, -44, -28, 4, 22, 6, 47, -20, -72, -60, 50, 64, 1, 60, 121, 2, -156, -18, 18, 20, -52, -6, 46, 44, 27, 12, -19, -6, -2, -48, 5, 150, -21, -16, 114, 6, 18, -120, 56, -2, 3, 34, -12, 190, -82, -4, 11, -8, 3, -26, -3, -48, -21, 60, -13, -4, -6, 4, 128, 30, 26, 0, 7, 16, 128, -16, 6, 80, 3, 2, -40, 26, -6, 4, -12, -6, 1, 98, -48, -76, 22, -90, -28, 60, -14, 18, 120, 90, -102, -56, 7, 26, -18, 14, -4, 6, 1, 28, 193, -18, -34, -42, -5, 28, -22, -6, -85, -30, 80, -54, -5, -12, 64, 60, 85, -4, -68, 38, -19, -16, 10, -24, -28, 32, -68, 0, 7, 24, -87, 4, -3, -20, -14, -142, 182, -30, -4, 118, 5, 4, -41, 4, -13, -28, 7, -4, -106, 28, -153, -108, 54, 90, 30, 12, -32, 4, -22, 94, 178, 6, -42, 30, -9, 12, -110, -6, 34, -28, -48, -12, 7, -12, 0, -8, 56, -46, 120, -36, -12, 34, 1, -72, 64, 6, 250, 32, 2, 28, 1, -26, -66, -82, -22, -98, -67, -6, 87, -60, -8, -8, 14, -16, -107, -38, 64, -16, -91, -22, -10, 108, 3, 38, 32, -64, -8, 0, -24, 18, -111, 24, 40, 128, 24, 42, 78, 38, 52, 28, -15, -22, -13, -12, 306, 88, 5, -32, 6, -4, 100, -152, -7, -26, -82, 24, 26, -16, 30, -8, -39, 72, 2, 100, 57, 18, -51, -6, 68, 6, -28, 94, -12, -74, -38, -204, -1, 22, -56, 6, 136, -86, 3, 24, -30, -20, 123, -50, 63, -132, -19, -14, 1, 68, 19, -58, 58, 6, 236, -58, 14, -232, -6, 16, 60, 40, -16, -8, -228, 32, -166, -64, -3, 112, -137, -16, 12, 38, -3, -40, 120, 8, 77, -12, 14, -20, -8, -14, 44, -178, 13, 70, -3, -26, 30, 48, 72, -6, 24, 0, 116, 98, 5, 86, -168, -72, -17, 16, -3, -124, -117, 72, 0, -18, -78, -80, 11, 6, 124, 4, 2, 24, 8, -46, 90, -8, 28, 6, 74, 12, 57, 56, 56, 50, 50, 56, 20, -58, -52, 96, -213, 2, -26, 16, -1, -38, -164, 22, -52, -126, -62, 2, 1, -28, 64, 12, 147, -48, 62, 6, -102, -162, 5, -8, -34, 78, 24, 6, -58, 6, 64, -38, -4, 20, -60, 32, 3, -16, -180, -16, 68, 0, 65, -4, 135, 134, 114, -74, 40, 20, -3, 26, 48, 18, -53, 66, -130, -4, -5, -8, -37, -14, 24, -84, 26, -6, -150, 4, 237, 142, 30, -16, 5, 0, 84, 160, -30, -8, -40, -26, -104, -32, -21, 66, 125, -6, 40, 24, 58, -46, -212, -64, 22, -24, -34, 252, 2, 20, 148, 18, 105, -92, 68, 8, 221, 94, 7, -36, 6, 22, 62, 150, -1, 6, 66, 14, 233, -14, -28, 2, -34, -28, -1, 0, 5, -20, -102, -6, -36, -40, 67, -104, -10, 36, -5, 104, -40, 6, -40, 16, -26, -4, 5, -30, -40, 74, -94, -48, 10, -162, 62, 6, 26, -110, -84, 0, 101, 0, 96, -138, -26, -106, -3, -2, 222, -4, -24, 76, -203, -30, -9, 112, 40, 112, -136, 22, -41, 28, -61, 130, 46, -70, 36, -4, -6, -88, 42, 0, 26, -46, 54, 78, 107, -24, 54, 144, -28, 4, -82, -60, 94, -82, -2, 34, -42, -50, 177, -56, 85, -66, 79, -6, 2, 6, 27, 138, -158, 4, 7, 52, 1, -92, 47, 62, 371, -46, 164, -60, -134, -24, 32, -130, 1, 126, 7, -8, 143, 2, 19, 32, -262, -14, 18, -150, -19, -86, -66, -6, 62, 62, -34, 100, 27, -6, -70, -76, -60, -6, -117, -20, 14, -54, 5, 76, 4, 64, 6, -16, -22, 38, 124, 52, 18, 54, 3, 46, -18, -2, 54, 12, 10, 0, -12, 20, 158, -144, -28, -4, 40, -10, -176, -86, 3, 82, -24, 38, 37, -48, 87, 124, -51, 0, -13, -30, -76, -4, 94, 4, -115, -32, 17, 2, 26, 56, -46, -32, -7, 16, 44, 18, 53, -90, 6, -16, -86, 18, 54, 2, -2, -48, 2, -58, -6, -36, 24, -72, 118, -6, 82, -62, 82, 66, -48, -88, -12, -22, -50, -90, -92, -6, -177, 22, -14, -92, -132, -2, -62, 90, 3, -192, 154, -50, 7, 88, 52, -50, 18, 14, 213, -136, 96, 10, 1, -12, 104, 64, 172, -18, 109, 6, -92, -176, -5, -42, -4, 14, -6, -6, 56, 4, 77, -6, 80, -8, -44, -6, -65, -12, -190, -124, -3, 36, 85, 74, -178, -108, 46, 38, 150, 4, 190, -52, 10, 146, 77, 62, -146, 32, 3, -18, -6, -14, 7, -92, -122, -98, -134, 4, -3, -160, 68, 130, -14, 68, 20, -6, -26, -30, 2, 58, 16, 38, 5, 132, 71, 16, -78, 4, 4, 16, 127, -48, 7, 130, 40, 176, 0, 28, 104, 66, 62, -34, 54, 6, -7, 62, 42, 12, -186, -12, 8, 40, -22, -134, -108, 14, -160, 6, 123, 78, -108, -18, -9, 20, 56, -148, 58, -6, 191, 46, -7, -58, -48, -82, 50, 74, 3, -12, -26, -6, -104, -38, 56, -110, -182, 22, -54, -36, 34, 72, 3, -30, 1, 32, 107, 2, 34, 6, 26, -48, 50, -126, 2, 22, -42, 110, 5, -26, 130, -4, 259, 38, -22, 6, 4, 4, 110, -6, 41, 148, -4, -38, -8, -82, -10, 52, 104, -16, 138, -112, 16, 118, 64, 0, 65, 258, -3, -22, -66, 34, -92, -74, 3, 106, -138, -2, -90, -64, 48, -150, 34, 30, -24, -84, 3, -4, -20, 24, 178, -14, 41, -218, 24, 8, -18, 66, 40, 38, 91, 4, -234, -188, -15, -18, 109, -42, 5, -12, -54, -178, 72, 26, 5, -8, 24, -200, -138, -4, 82, 26, -21, 192, -7, -62, 76, -70, 42, 24, -250, 74, 45, -92, 30, 0, 22, 6, 79, 72, -4, 80, -47, 20, 57, 106, -7, -22, -202, -6, 68, -104, 98, -142, -28, 46, 18, -36, 60, -74, 56, 76, -134, 44, -1, -8, -130, -26, -88, 6, -16, -14, -145, -32, 3, 40, -53, -90, -1, -20, 120, -46, 66, 22, 63, -6, -208, 88, 82, -14, 80, 6, -10, 196, 19, 178, 225, 48, -137, 6, -14, 136, -296, -110, 14, 2, 5, 100, 164, 16, 80, 36, -177, -48, -16, -70, 62, -230, -3, 32, 26, 0, -130, -118, -3, 98, 100, 0, 72, -16, 20, 0, -96, -18, -3, 50, -40, -96, 38, 8, 92, 76, 34, -202, 14, -38, 352, -52, 40, -14, 313, -76, 48, -120, 13, 28, -133, 36, -86, -26, -71, 152, 36, 32, 72, 120, 139, 104, 190, 0, 12, 16, 7, -174, 5, 4, 107, 14, -82, -72, -57, 16, 4, 4, -3, 76, -160, -14, 128, 72, -2, -144, 176, -8, -78, 0, 23, -56, -21, 6, 156, 110, 72, -80, 2, -8, 70, -128, 12, -46, 42, 4, -152, -150, 28, 48, -8, -22, 47, 12, -20, 20, -107, -10, 56, -60, -3, -8, -70, 56, -140, 4, 1, -104, -52, 50, 234, -122, -10, 2, -177, -182, -160, -144, -1, 66, 18, 72, -272, 22, -44, 12, -32, -6, -62, -112, -83, -44, 62, -28, 27, 70, 6, 30, 147, 34, 208, -6, -102, 6, -51, 8, -40, -20, 5, 120, 59, 20, -150, 78, 3, -16, 136, -52, -58, -40, -72, -122, 18, -38, 5, -254, 110, -134, -60, -2, -258, -18, -77, -16, -146, -22, -12, 8, 68, -80, -65, 14, 126, -4, -102, -56, 17, 0, 114, -96, 3, -24, -46, 20, 96, 46, -92, -48, 48, 6, -19, 74, 111, 66, -13, 62, -325, -182, -5, 124, 40, 4, 79, -14, 176, -232, -186, -16, 26, 110, -93, -54, 12, 4, -12, 16, 0, -176, 30, 116, 48, 152, 6, 0, -6, -6, 54, 4, -30, 2, -128, -66, -70, -26, -8, -132, -6, -76, -21, -36, -50, -144, -8, -6, 264, -126, -2, 26, 58, -170, -48, -158, -56, -64, 28, 40, -46, -90, -34, -118, -307, 58, 24, 20, -14, -44, -210, -80, 105, 4, 26, 90, -20, 8, -43, -20, 62, 10, 7, -22, -339, -38, 169, 22, 34, 14, -205, -16, -1, 72, 52, 92, 1, 14, 14, -26, -81, 48, -28, -18, -116, -44, -132, -28, -90, 162, -5, 48, 5, -26, -26, -172, -132, -6, 5, -6, -34, -154, 67, -70, 80, -40, -198, 36, 4, 74, -37, -12, -40, 112, 18, 42, -154, 16, 85, 62, -71, 158, 5, 2, -156, 38, -65, 74, -63, 48, -25, -168, 10, -94, -10, 74, 116, 6, -124, 32, 115, -80, -84, -60, -48, -2, 7, 0, -173, -146, 152, 86, -26, 4, -280, 148, 123, -2, -46, 22, -14, 32, -24, -180, -360, -58, -71, -30, 3, -172, 156, -4, 40, 52, 5, 34, 210, 22, 182, -68, -5, 4, -61, 0, 62, -206, 46, -70, 7, 8, 149, 4, -6, -68, 16, 28, -124, 0, 21, 152, -94, 42, 54, -114, -78, -214, -27, -24, 138, 12, 24, -118, -28, -80, 6, -316, -22, -60, -12, -90, -62, -192, -2, 6, -28, -20, 84, -50, -126, -146, -9, -26, 85, 52, -68, -178, 234, -6, 42, 152, -2, -204, 27, 36, -48, 190, -106, 4, 81, 10, 254, -12, 1, -72, -337, -40, -230, 62, 56, -40, -14, 14, 164, 18, 25, -36, 168, -24, -252, -180, 1, 16, 1, -94, -49, 24, -28, -8, 151, 6, 53, -108, 19, 14, -14, -26, 2, -14, 10, 44, 306, 84, -19, -26, -140, -46, 110, -6, -102, -6, -22, 92, -34, 6, -283, 10, -5, -6, 4, -80, -308, 52, -60, 116, -8, 48, -82, -20, -7, 144, 84, -16, 5, 208, -26, -260, 88, 64, 64, -12, 132, -32, -22, 0, -66, -22, 190, 52, -225, 28, -110, -156, 3, 46, 68, -130, -74, -2, -84, -64, 94, -76, 10, 168, -25, 10, -24, 20, 36, -236, -40, -42, -28, 24, -44, -70, 0, -10, -403, -28, 24, 68, 3, 84, -118, 4, -16, 38, -36, 12, 178, -16, 87, -132, -15, -338, -68, 0, 56, -104, 86, -12, -76, 44, 70, -160, -107, 4, 5, -68, 16, -160, 17, -148, 204, -4, 433, 56, 125, -160, -6, -116, -7, 148, 2, -106, -112, 18, 202, 24, 0, 28, 6, 56, 276, 102, 30, 18, 131, -72, -166, 70, -2, 72, -12, 44, -101, -58, 28, -74, 57, -4, 24, -288, -22, -16, 78, -6, 144, 132, -47, 100, 82, 20, -28, 156, 72, -88, -180, 60, 47, -74, -50, -230, -300, -64, -52, -6, -1, -286, 98, -60, -14, 82, -121, 6, -48, -2, 110, 80, 156, 40, 3, 18, -11, 44, -18, -50, 284, -20, 56, -68, 52, 156, 76, 6, 63, 14, -46, -130, 264, -44, 96, -14, -27, -124, 181, -12, -26, 162, 19, 68, 172, 6, -30, 80, 2, 6, 126, 48, -326, 26, -5, 18, 14, -150, 3, 14, 21, 80, -190, 16, 56, -224, -114, 266, -22, -6, -16, -4, -18, 2, -44, 120, 48, 32, -56, -12, 108, 2, -350, 116, -3, 140, 425, -34, 158, 74, 12, -16, 9, -190, 46, -126, 82, 212, -3, 4, -226, 76, -11, -6, 10, 8, 18, -86, -3, 62, 102, 26, 14, 168, 3, -310, -20, 48, -158, -14, 21, 16, -16, -60, -122, 170, 13, -32, -69, 4, 78, 28, 6, -26, 68, -4, 24, 24, -128, 68, 72, -30, 69, -114, -26, 178, 204, 0, -44, 58, -7, -154, 67, -16, 5, 178, -128, -126, -58, 16, -15, -72, -6, 126, 4, -80, -55, 132, -3, -48, 215, -2, 126, -216, 40, 72, -547, -26, -20, 28, 6, 134, -78, -4, 62, 54, 12, 88, -90, 6, -260, 42, -1, 154, 42, -98, 2, 12, 48, -12, -288, 76, -128, -46, -22, -28, 30, 90, 210, 14, 28, 96, -220, -60, 123, -60, 14, 12, 198, -18, 50, -54, -120, -288, 56, -90, 64, -144, 102, -6, -49, 56, -246, 326, -7, 236, -45, -26, -52, -82, 18, -148, 205, -14, 3, 2, 4, 122, 168, -6, 38, 112, -1, 212, 56, -28, -274, -156, -193, 22, -180, 18, -292, 56, 34, 318, -62, 42, 216, -30, 5, 146, -92, -28, 107, -20, 22, -2, -97, 6, 147, -76, 85, 230, 50, 30, -44, 6, -80, 22, -72, 54, -20, 128, 5, 28, 148, 12, 19, -4, -64, 78, 213, -60, -22, 194, -85, 126, -58, 4, -173, -190, 68, 86, 41, -38, 44, 8, 19, -38, -6, 16, -60, 208, -10, -68, 240, 24, -236, -16, 28, 18, 170, -32, 16, 286, 68, 190, -54, 0, 182, 164, -7, -4, -3, -24, -265, 26, 87, 34, 114, -4, 140, -22, 3], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "2415.2.a.p", "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, 0], [1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [0, 1, 1, -1, 1, 1], [1, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0], [-1, -1, 0, -1, -1, -1], [-1, 0, -1, 0, 0, 0], [1, 0, 1, 0, 1, -1], [0, -1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [-1, 1, 1, 0, 1, 1], [3, -1, 2, -1, -1, 0], [0, 1, 0, 0, 0, 0], [-1, 2, 1, -2, 1, 0], [-1, 0, -1, 0, 0, 0], [1, 0, 0, 0, 0, 0], [-1, -2, -2, 1, -2, 0], [1, 0, 0, 0, 0, 0], [0, -1, -1, 1, -1, -1], [1, 0, 0, 0, 0, 0], [0, 3, 0, 1, 2, 1], [-1, 0, 0, 0, 0, 0], [-1, 0, -1, 0, 0, 0], [0, 0, 2, 2, 2, 0], [0, 1, 0, 0, 0, 0], [0, 1, 1, -1, -2, 1], [1, -1, 1, 1, 0, -1], [1, 1, 0, 1, 1, 1], [-2, 6, 1, -2, 0, 2], [1, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, 0], [-1, 0, -1, 0, 1, -1], [5, -1, 3, 2, 0, 1], [-1, 0, -1, 0, -1, 1], [0, -1, -1, 1, -1, -1], [1, 2, -1, 2, -1, -2], [0, 1, 0, 0, 0, 0], [-3, 2, 1, -2, -3, 0], [-2, -2, -4, 1, -1, 0], [-1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [6, 2, 0, 0, 0, 0], [1, -1, -1, 0, -1, -1], [1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-3, 1, -2, 1, 1, 0], [4, 1, 2, 0, 1, 2], [4, -1, 3, -1, 2, -1], [0, -1, 0, 0, 0, 0], [1, 1, 0, 1, 1, 1], [0, -1, -1, 1, -1, -1], [1, -2, -1, 2, -1, 0], [-2, 6, 2, -2, 6, 2], [-1, 1, -2, -1, 3, 1], [1, 0, 1, 0, 0, 0], [1, -3, -2, 3, -3, -2], [4, 1, 3, -3, -2, 1], [-1, 0, 0, 0, 0, 0], [0, 2, -3, -1, 0, -1], [-1, 0, -1, 0, -1, 1], [1, 2, 2, -1, 2, 0], [-5, -1, -2, -1, -3, -2], [10, 0, 5, 1, 1, 1], [-1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-2, 4, -2, 0, 0, -2], [0, 1, 1, -1, 1, 1], [7, -3, -4, 1, -3, -1], [0, -3, -2, 3, 0, -1], [-1, 0, 0, 0, 0, 0], [-2, 9, 1, -2, 3, 3], [1, 1, 0, 1, 1, 1], [0, -3, 0, -1, -2, -1], [-2, -1, 3, -1, 0, -1], [1, -1, -1, 0, -1, -1], [1, 0, 0, 0, 0, 0], [9, 1, -1, 0, 0, -1], [5, -6, -1, 0, -3, -4], [1, 0, 1, 0, 0, 0], [-3, 1, -2, 1, 1, 0], [9, -3, 3, -2, -4, 1], [0, 0, -2, -2, -2, 0], [-3, -5, -2, 0, 0, -4], [2, 4, 0, -2, 0, 2], [0, -1, 0, 0, 0, 0], [-1, 0, -1, 0, -1, 1], [1, 0, 1, 0, 0, 0], [0, -1, -1, 1, 2, -1], [6, 6, 2, 0, 0, 0], [1, -2, -1, 2, -1, 0], [-1, 1, -1, -1, 0, 1], [2, 0, -2, 4, -2, -2], [0, 1, 0, 0, 0, 0], [-1, -1, 0, -1, -1, -1], [1, 0, 1, 0, 0, 0]]}