# Stored data for newform 7569.2.a.bk, downloaded from the LMFDB on 13 January 2025.
{"Nk2": 30276, "analytic_conductor": 60.43876928990712, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [29, 1]], "atkin_lehner_string": "-+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [7569, 1, [5888, 1684], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 9, "field_disc": 1965297956293, "field_disc_factorization": [[7, 6], [2029, 1], [8233, 1]], "field_poly": [-7, 84, 14, -141, -23, 70, 9, -14, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[2, [7, 84, -14, -141, 23, 70, -9, -14, 1, 1]], [5, [-169, -923, -1293, -383, 383, 222, -24, -27, 0, 1]], [7, [-104, 340, 376, -1129, -929, 267, 152, -32, -5, 1]], [19, [-8, 40, -2, -145, -7, 116, 2, -27, 1, 1]]], "hecke_orbit": 37, "hecke_orbit_code": 162129586618899857, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "7569.2.a.bk", "level": 7569, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [3, 29], "level_radical": 87, "minimal_twist": "87.2.g.b", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+(1-\\beta _{4}+\\beta _{5}+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 9, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "7569.2.a", "trace_display": [-1, 0, 0, 5], "trace_hash": 1260195460794952890, "trace_moments": [{"__RealLiteral__": 0, "data": "0.021", "prec": 17}, {"__RealLiteral__": 0, "data": "7.922", "prec": 17}, {"__RealLiteral__": 0, "data": "1.051", "prec": 17}, {"__RealLiteral__": 0, "data": "170.945", "prec": 24}, {"__RealLiteral__": 0, "data": "104.614", "prec": 24}, {"__RealLiteral__": 0, "data": "5688.166", "prec": 27}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.006", "prec": 17}, "traces": [0, 9, -1, 0, 11, 0, 0, 5, -12, 0, 4, -3, 0, 5, -15, 0, -5, -16, 0, -1, -8, 0, 24, 10, 0, 9, -12, 0, -24, 0, 0, -4, -25, 0, 24, 44, 0, 25, 10, 0, 5, -34, 0, 12, 23, 0, 6, -8, 0, 26, -27, 0, -23, 32, 0, -5, 14, 0, 0, -10, 0, 51, -8, 0, -8, 11, 0, 7, -11, 0, -14, -7, 0, 17, 62, 0, -6, -64, 0, 13, -54, 0, 37, 31, 0, 42, 70, 0, -29, 32, 0, 45, -9, 0, 38, 20, 0, 16, 12, 0, 47, -33, 0, 30, 23, 0, -1, 8, 0, 22, 61, 0, -23, -56, 0, -9, 0, 0, 15, 0, 0, 10, -2, 0, 26, 72, 0, 11, 19, 0, -3, 12, 0, 5, -20, 0, 19, -14, 0, 20, 92, 0, -1, -45, 0, 0, 78, 0, -2, -28, 0, -35, 5, 0, 23, 5, 0, 64, 32, 0, 96, 6, 0, -25, -85, 0, -17, 16, 0, -62, -53, 0, -7, 25, 0, 46, 11, 0, -8, 30, 0, 46, -2, 0, 22, 36, 0, 15, -47, 0, -74, -33, 0, 40, 81, 0, 0, 16, 0, -39, -94, 0, -50, 0, 0, -6, -29, 0, -11, -5, 0, 60, 50, 0, -40, 57, 0, -8, 44, 0, -79, -56, 0, 71, 107, 0, 7, 34, 0, -11, 30, 0, 0, 12, 0, 43, -39, 0, -2, 40, 0, -21, 50, 0, 77, 57, 0, -8, 71, 0, -54, -13, 0, 36, 32, 0, 61, 38, 0, 6, 53, 0, -47, -60, 0, -7, -51, 0, -11, 34, 0, -11, -91, 0, 83, 3, 0, 12, 51, 0, -137, -2, 0, 0, -21, 0, 32, -45, 0, 29, 0, 0, -19, -33, 0, 4, 19, 0, 8, 15, 0, 0, 128, 0, -3, -1, 0, 41, -86, 0, -68, 53, 0, 30, 21, 0, -43, -51, 0, 0, -44, 0, -54, 18, 0, 2, 23, 0, 86, 55, 0, -2, 94, 0, -55, -36, 0, 56, 0, 0, 117, -20, 0, 79, -64, 0, -35, -9, 0, 113, 18, 0, -122, 23, 0, 14, 98, 0, -6, -97, 0, -116, 5, 0, 34, -78, 0, -85, 33, 0, -144, -12, 0, 54, -7, 0, 84, 0, 0, 73, 77, 0, -4, 27, 0, -14, 12, 0, -50, -35, 0, -73, 34, 0, -7, -54, 0, 5, 108, 0, 55, 83, 0, -27, 73, 0, 0, -17, 0, -14, -24, 0, 130, 72, 0, 43, 102, 0, 14, -27, 0, 31, -53, 0, -80, 6, 0, 9, -46, 0, 110, 71, 0, -14, -124, 0, -70, 8, 0, -19, 81, 0, -33, 144, 0, 68, -87, 0, 21, -21, 0, 56, -73, 0, -40, 21, 0, -57, -19, 0, -8, 0, 0, 112, 0, 0, -158, 74, 0, -5, -175, 0, -62, 85, 0, 58, 155, 0, -40, 35, 0, -2, 120, 0, 23, 18, 0, -21, -111, 0, -100, -35, 0, 0, 16, 0, -177, 50, 0, -13, 96, 0, 82, -43, 0, 47, 104, 0, -47, -71, 0, -48, 1, 0, -113, 63, 0, -67, -164, 0, -102, 29, 0, -3, 73, 0, 26, 116, 0, -61, 155, 0, 40, 10, 0, 121, 62, 0, 110, -46, 0, 51, 57, 0, 56, 17, 0, -90, -82, 0, 21, 0, 0, -26, 32, 0, 20, -2, 0, -36, 4, 0, 14, 54, 0, 36, 65, 0, 77, -119, 0, 43, -42, 0, 26, -37, 0, 84, 60, 0, 0, 20, 0, 42, 58, 0, 45, 19, 0, -62, 100, 0, -169, 102, 0, -96, -78, 0, 14, 67, 0, 100, 129, 0, -67, 62, 0, 13, 7, 0, 51, -2, 0, -54, 52, 0, 13, -12, 0, -83, 76, 0, -94, 22, 0, -15, 189, 0, 24, 21, 0, 34, 78, 0, 74, 142, 0, 50, 0, 0, 131, 3, 0, -76, -119, 0, -111, 55, 0, -56, 80, 0, -69, -88, 0, -126, 22, 0, -141, 53, 0, 49, 17, 0, -171, 74, 0, 0, 102, 0, -226, 50, 0, 11, -123, 0, -113, 80, 0, -40, -95, 0, 132, -38, 0, 60, -92, 0, -121, 2, 0, 78, -44, 0, -20, 44, 0, -9, -4, 0, 88, -37, 0, 80, 53, 0, -4, -24, 0, -33, 105, 0, 37, -57, 0, 5, -7, 0, -23, 1, 0, 19, -71, 0, 138, 0, 0, 54, -60, 0, -94, 134, 0, 99, -8, 0, -134, -166, 0, -135, 121, 0, 84, -34, 0, -37, -1, 0, -137, 99, 0, -81, -120, 0, 0, 27, 0, 97, -63, 0, -74, 83, 0, 82, -135, 0, -164, -16, 0, -156, 89, 0, 76, -52, 0, -121, 153, 0, 55, 40, 0, 22, -45, 0, -53, 72, 0, -101, -50, 0, -131, 32, 0, 3, -42, 0, -154, -61, 0, 42, 63, 0, -50, -32, 0, -17, -168, 0, -42, 26, 0, -46, 0, 0, 113, 95, 0, -11, 1, 0, 94, 147, 0, 29, -96, 0, 209, -22, 0, -32, 99, 0, -54, -158, 0, 140, -27, 0, 65, -2, 0, 0, -14, 0, 207, -34, 0, -34, -44, 0, -65, -7, 0, 53, -77, 0, 73, 46, 0, -4, 1, 0, 81, 76, 0, -97, -9, 0, 112, -36, 0, 17, -45, 0, -3, 87, 0, -1, -110, 0, -130, 121, 0, 2, 80, 0, -64, -77, 0, 173, -206, 0, 157, 83, 0, 20, 139, 0, -89, 0, 0, 23, -17, 0, 141, -20, 0, 27, -188, 0, 48, 68, 0, 29, -53, 0, -38, -160, 0, 109, 18, 0, -105, 29, 0, 43, 126, 0, 0, -152, 0, 77, 158, 0, 80, 93, 0, 42, -156, 0, 123, 49, 0, 55, 102, 0, 3, 126, 0, -54, -128, 0, -89, -3, 0, 86, 63, 0, 95, 38, 0, 105, -83, 0, -104, -176, 0, -2, 58, 0, 33, -101, 0, -59, 68, 0, 91, 110, 0, -22, -17, 0, -36, -24, 0, 4, 0, 0, -16, -65, 0, 70, 104, 0, 5, 30, 0, 109, -37, 0, -59, -39, 0, 6, 81, 0, 169, -88, 0, -8, -35, 0, 190, -6, 0, 0, 146, 0, -95, 110, 0, -74, -165, 0, 65, -59, 0, 35, 11, 0, 95, -10, 0, -7, 8, 0, -6, -146, 0, 95, 44, 0, 38, 68, 0, -83, -23, 0, -16, -19, 0, 107, -255, 0, 123, 104, 0, -62, 76, 0, -70, -30, 0, -61, -82, 0, 64, 106, 0, -14, -141, 0, -77, 0, 0, 43, -5, 0, 154, -23, 0, 3, -205, 0, 47, -171, 0, 28, -37, 0, 225, 111, 0, -80, -21, 0, 214, 21, 0, 136, -65, 0, 0, -4, 0, -1, -184, 0, -79, 71, 0, 59, 15, 0, -17, -96, 0, -31, -9, 0, -23, 13, 0, 34, -26, 0, -66, 173, 0, -72, -26, 0, 127, 130, 0, 6, -106, 0, -9, 78, 0, 69, -179, 0, 30, -130, 0, -49, 53, 0, 48, 3, 0, 111, -85, 0, 15, -32, 0, 43, 0, 0, 108, 12, 0, 86, 74, 0, -83, 3, 0, 42, -223, 0, 183, 9, 0, -59, 60, 0, -212, -70, 0, -22, 1, 0, -121, -108, 0, 0, -122, 0, 103, -88, 0, -41, -83, 0, -202, -83, 0, 29, -196, 0, 12, -96, 0, -27, 111, 0, 18, 26, 0, -189, 117, 0, -73, -81, 0, -29, -124, 0, -15, 74, 0, 98, -169, 0, -3, 36, 0, 234, 25, 0, -121, 28, 0, 94, -101, 0, -66, -28, 0, 11, 61, 0, -337, 0, 0, -121, -165, 0, -216, 20, 0, 4, -46, 0, -175, 40, 0, 82, -65, 0, 22, 47, 0, -63, -201, 0, -366, -141, 0, 40, 43, 0, 0, -120, 0, -80, -144, 0, -12, -42, 0, 17, 177, 0, 136, -183, 0, -113, 89, 0, 140, 237, 0, -27, -334, 0, -24, -98, 0, -68, 14, 0, -65, 14, 0, 192, -256, 0, 81, -113, 0, -123, 35, 0, 66, 4, 0, -92, -47, 0, -7, -27, 0, 37, 27, 0, -59, 225, 0, -58, 0, 0, -229, 135, 0, -51, 252, 0, 127, -150, 0, 43, -154, 0, 377, -103, 0, -139, 93, 0, -53, 33, 0, -60, -150, 0, 181, 88, 0, 0, -174, 0, 242, 116, 0, 6, -398, 0, -49, -189, 0, -215, -39, 0, -85, 55, 0, -50, -199, 0, 201, -136, 0, 53, -90, 0, 65, 160, 0, -24, -264, 0, 133, -137, 0, 106, -151, 0, 38, 156, 0, -254, -70, 0, -112, -78, 0, 21, -135, 0, 12, -47, 0, 86, -46, 0, -86, 0, 0, 14, -284, 0, 53, -23, 0, -20, -94, 0, 85, -105, 0, -190, -263, 0, -110, 39, 0, -68, -85, 0, -89, -191, 0, 36, -142, 0, 0, 177, 0, 82, -171, 0, -8, 3, 0, 64, -142, 0, 148, -48, 0, 120, -25, 0, -169, 17, 0, -87, 21, 0, -27, 44, 0, 64, -194, 0, -293, 100, 0, 75, -35, 0, -25, 2, 0, 15, 129, 0, 289, -99, 0, -51, 136, 0, -103, 2, 0, 88, -154, 0, 78, 59, 0, -95, 0, 0, -345, 200, 0, 125, 45, 0, -42, -28, 0, -100, 23, 0, -189, 28, 0, 131, 314, 0, 214, 134, 0, -20, 169, 0, 165, -93, 0, 0, -128, 0, 7, -134, 0, 52, -227, 0, -156, -118, 0, 58, 20, 0, -339, 109, 0, -90, 19, 0, -61, 201, 0, -15, 114, 0, -8, -13, 0, -63, -77, 0, 48, -22, 0, -75, -256, 0, 76, -16, 0, 110, 50, 0, 11, 42, 0, 54, 47, 0, 7, 265, 0, 134, 75, 0, 12, 0, 0, 119, -295, 0, 27, -24, 0, -110, 22, 0, -78, 139, 0, 85, 69, 0, 204, -108, 0, -6, 35, 0, 154, -48, 0, 154, -50, 0, 0, 99, 0, 129, -47, 0, -294, 92, 0, 77, -34, 0, -114, -198, 0, -30, -137, 0, 294, 83, 0, 116, -55, 0, -26, -78, 0, 52, -145, 0, 254, 50, 0, 12, 74, 0, -125, -41, 0, -30, 43, 0, -374, -48, 0, -21, 165, 0, 87, 26, 0, -66, -100, 0, -155, 63, 0, -51, 0, 0, 154, 12, 0, -133, -256, 0, 32, 3, 0, 35, -179, 0, -80, -166, 0, -75, -59, 0, 19, 22, 0, 96, -53, 0, -269, -18, 0, 0, -124, 0, -32, 104, 0, 226, -2, 0, -141, 167, 0, 35, 89, 0, 86, -50, 0, 3, -186, 0, -80, 17, 0, 31, 59, 0, 52, 206, 0, 109, -175, 0, -158, -102, 0, 69, 12, 0, -323, 5, 0, -23, 64, 0, 43, -246, 0, 31, -22, 0, -163, -30, 0, 58, 468, 0, -71, 0, 0, -250, 74, 0, -361, -144, 0, 17, -381, 0, 213, -43, 0, -70, -165, 0, -113, 75, 0, 104, -166, 0, -262, -125, 0, 44, 166, 0, 0, 152, 0, -185, 379, 0, 29, 13, 0, 58, -90, 0, 129, -19, 0, 221, -95, 0, 180, 144, 0, -39, -97, 0, -260, -12, 0, -190, -27, 0, -234, -200, 0, -92, -22, 0, -235, 37, 0, 191, 45, 0, -128, 118, 0, -88, -63, 0, -44, -2, 0, 97, -105, 0, -190, 50, 0, -22, 0, 0, 279, -33, 0, 134, -45, 0, -105, 54, 0, -29, -37, 0, 209, -88, 0, 60, 65, 0, 264, -71, 0, -71, -296, 0, 163, -73, 0, 0, 84, 0, -103, 109, 0, -194, 40, 0, -196, -26, 0, -150, -57, 0, 117, -102, 0, -165, 126, 0, 41, 7, 0, -96, -230, 0, 160, -78, 0, -36, -17, 0, -385, -8, 0, -2, -126, 0, -22, -72, 0, 23, 317, 0, 337, 139, 0, 323, 34, 0, -160, -56, 0, -27, 122, 0, 261, 0, 0, 80, -41, 0, -139, -9, 0, -45, -321, 0, 118, 178, 0, -43, 374, 0, -247, -32, 0, -131, -77, 0, 211, -201, 0, -86, -261, 0, 0, -174, 0, -78, -50, 0, -2, 102, 0, -246, -55, 0, -182, 148, 0, -57, -97, 0, 129, 215, 0, 46, 161, 0, 1, -215, 0, -106, -84, 0, 72, -118, 0, 181, 8, 0, -100, -71, 0, -41, -158, 0, 113, -86, 0, -213, -6, 0, 44, -77, 0, -206, -169, 0, -168, 105, 0, -16, 0, 0, -261, 33, 0, -54, 62, 0, -49, -112, 0, 50, -36, 0, -302, -291, 0, -24, -10, 0, 213, 194, 0, -148, -11, 0, -29, 161, 0, 0, -120, 0, 112, 37, 0, 129, 34, 0, -141, -31, 0, -128, -289, 0, 23, 207, 0, 132, 162, 0, -94, 56, 0, 95, 111, 0, 85, -114, 0, -206, 69, 0, -9, 85, 0, -92, 146, 0, 6, 184, 0, -195, 92, 0, 300, -68, 0, -208, -8, 0, -22, -158, 0, 113, -189, 0, -201, 0, 0, -19, 112, 0, 193, -40, 0, -163, -62, 0, 62, -32, 0, -16, 36, 0, 422, 357, 0, -208, 14, 0, 523, -94, 0, 60, 176, 0, 0, -35, 0, -104, 138, 0, -49, -120, 0, 55, 105, 0, 37, 21, 0, -228, -104, 0, 256, -62, 0, -226, -104, 0, -106, 31, 0, -163, -383, 0, 193, 134, 0, -232, -49, 0, 93, 35, 0, -71, -66, 0, -184, 167, 0, 78, -312, 0, 257, -146, 0, -53, -72, 0, 29, 224, 0, 26, 0, 0, 210, 308, 0, -49, -9, 0, -147, 10, 0, -169, 37, 0, -231, 54, 0, -164, -5, 0, -239, 36, 0, -230, 7, 0, -288, 112, 0, 0, 44, 0, -52, -104, 0, 358, -1, 0, -13, -86, 0, -256, 167, 0, 10, 74, 0, -63, 83, 0, -12, 100, 0, 142, 114, 0, -26, 74, 0, -21, 37, 0, 283, 198, 0, -152, 171, 0, 44, 162, 0, 71, -138, 0, 94, 272, 0, -205, -38, 0, 88, 166, 0, 229, -34, 0, 264, 0, 0, -57, -58, 0, -172, -198, 0, -3, 60, 0, 232, 428, 0, -84, -107, 0, 117, -84, 0, 177, -22, 0, -250, -16, 0, 25, -5, 0, 0, 62, 0, -90, -37, 0, -22, 42, 0, 203, 28, 0, 94, -4, 0, 64, -316, 0, 206, -30, 0, -127, 0, 0, -25, -110, 0, -57, -179, 0, -5, 217, 0, -85, 358, 0, -9, -50, 0, -109, 82, 0, 11, -71, 0, 286, 197, 0, -254, 122, 0, -100, 201, 0, 59, 105, 0, 94, 0, 0, -210, 269, 0, 53, 20, 0, -276, -19, 0, 190, -254, 0, 69, 46, 0, -97, 152, 0, -177, -45, 0, 337, -142, 0, 323, 83, 0, 0, -242, 0, -45, 23, 0, 161, 19, 0, -251, 102, 0, -58, 187, 0, -351, 29, 0, -223, 144, 0, -75, 168, 0, 169, 74, 0, 131, 114, 0, 106, 59, 0, 147, -316, 0, 39, 73, 0, -279, 16, 0, -185, -15, 0, 60, -187, 0, -133, 39, 0, 92, 3, 0, 0, -126, 0, 265, 0, 0, 60, 172, 0, -23, 177, 0, -89, 101, 0, -316, -169, 0, 121, 404, 0, -119, 98, 0, -142, -17, 0, -142, 97, 0, -293, 145, 0, 0, 215, 0, -200, -136, 0, -37, -116, 0, -145, 10, 0, -218, -209, 0, 2, -109, 0, -154, 138, 0, -46, 220, 0, -16, 165, 0, 113, -218, 0, 122, 107, 0, -46, -123, 0, 12, 182, 0, 136, -131, 0, 178, 111, 0, 145, 371, 0, 28, 185, 0, 65, -60, 0, -39, -180, 0, 201, 0, 0, -173, 43, 0, -98, -112, 0, -155, 86, 0, -5, -98, 0, -333, 273, 0, 42, -317, 0, -137, -54, 0, 135, 36, 0, 97, -150, 0, 0, -67, 0, -72, -168, 0, -26, -31, 0, 290, 75, 0, 139, 37, 0, 25, -350, 0, 1, -33, 0, -131, 149, 0, 8, 148, 0, -14, -106, 0, -186, -351, 0, -137, 29, 0, 108, 96, 0, -4, -77, 0, 21, -106, 0, 26, -142, 0, -148, -30, 0, -193, -67, 0, -67, -4, 0, -97, 0, 0, -69, -94, 0, -68, -67, 0, 92, 48, 0, 47, 49, 0, 294, -290, 0, -69, -73, 0, 103, 150, 0, 162, -6, 0, -136, 103, 0, 0, -2, 0, 86, 151, 0, -97, 179, 0, -195, -5, 0, -81, 165, 0, 41, 326, 0, -287, 111, 0, 386, 21, 0, -120, -148, 0, -355, -268, 0, 145, -77, 0, 305, 411, 0, 62, 28, 0, -313, 113, 0, -201, 5, 0, -186, -350, 0, -39, 42, 0, 136, -316, 0, -49, -120, 0, -94, 0, 0, 76, 81, 0, 73, -215, 0, 46, -162, 0, 23, 249, 0, 412, -45, 0, -68, -146, 0, -43, -69, 0, -399, 180, 0, 95, 99, 0, 0, -63, 0, -144, 438, 0, 282, 125, 0, 371, 55, 0, 1, -70, 0, 88, 192, 0, 218, 56, 0, 8, -171, 0, 112, 46, 0, -109, 217, 0, -230, 173, 0, 175, -51, 0, 103, -150, 0, 268, 68, 0, 183, 293, 0, -306, 61, 0, -193, 172, 0, 55, 247, 0, -53, 160, 0, 193, 0, 0, 69, 159, 0, -111, 164, 0, -90, 221, 0, 298, -84, 0, -322, 205, 0, -136, -79, 0, 4, -86, 0, -40, 124, 0, -18, -88, 0, 0, 105, 0, -206, 219, 0, 87, -188, 0, 86, -74, 0, -19, 165, 0, 259, -60, 0, 20, -180, 0, -248, -200, 0, 155, -6, 0, 171, 314, 0, 255, 63, 0, -72, 56, 0, -34, 20, 0, -97, -26, 0, -157, 52, 0, 81, 184, 0, 68, 283, 0, -363, -39, 0, 187, 38, 0, -66, 0, 0, 285, -77, 0, 329, 198, 0, 462, 181, 0, -52, -145, 0, -90, 279, 0, 118, -155, 0, 6, 85, 0, 201, 230, 0, -2, -154, 0, 0, 48, 0, 208, -179, 0, -189, 379, 0, 58, -42, 0, -85, 62, 0, -26, 76, 0, -112, -315, 0, 166, 322, 0, -6, -115, 0, -196, -282, 0, 141, 253, 0, -525, 132, 0, -356, 317, 0, 85, -54, 0, -42, -120, 0, -292, 104, 0, 13, -247, 0, -114, 83, 0, -12, -277, 0, -62, 0, 0, 347, -86, 0, -133, -42, 0, 1, 474, 0, 68, 68, 0], "weight": 2, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, -1, 1, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, -1, 0, -1, 0, 0, 0, 0], [-1, 0, -1, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 1, 1, 1], [0, -1, 1, 0, 0, 1, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, -1, 0, 0, 1, 0, 0, 0], [-2, 0, 0, 2, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 2, 0, 1, 1, -1, 0, -1, 1], [-1, -2, 1, 0, -1, -1, -1, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, -1, 0], [2, 0, -1, -1, -1, 2, -4, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, -2, -1, 3, -3, 0, 1], [1, 1, -1, -1, 0, 0, -1, -1, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 1, 1, -1, 2, -2, -1, 0], [-2, 1, 0, 1, 0, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 2, -3, 1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 1, -2, -1, -1, 1, 2, -1], [0, 1, -1, 0, -1, 4, -1, 1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -1, 1, 1, 0, -3, 1, 3, -1], [5, 1, 1, 1, -1, 2, 0, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [3, -2, 0, 0, 0, 0, 0, -1, -1], [0, 0, 0, 0, 1, 0, 3, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 1, 2, 1, 2, -4, 2, 0, 1], [-3, 0, -1, 0, 1, 2, -2, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0], [3, -4, 1, 2, -1, 1, -1, 2, -1], [1, 0, 0, 0, 1, -1, 0, -1, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 1, -1, 0, 5, -3, 0, 1], [-2, 0, -1, -1, -1, -2, 2, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 3, -2, -2, -2, -1, 3, -4, 3], [-3, -1, -3, 0, 0, 1, 4, 2, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, -1, -1, 2, 0, 1, -1], [5, -2, 1, 1, 0, 1, -1, 3, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -3, -1, 0, 0, 0, -1, 3, 0], [-2, 2, 0, -1, 1, -6, 2, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, -1, 2, -1, -4, 5, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 1, 0, 0, 0, 0, -1, -2, 2], [-3, -2, 2, 1, 1, -5, -2, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, 1, 0, 2, -1, -4, 4, 0, 2], [0, 0, 1, 1, -1, -1, 2, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, 0, 2, -2, -1, 1, -4], [2, -2, -3, 0, -1, 0, -4, 1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, -4, -3, 0, 1, 1, 7, 0, 1], [-1, 1, -1, -2, -2, 0, 3, 1, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, -2, -1, -1, 1, -6, 5, -2, 0], [3, -3, 2, 1, 2, -3, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, -1, 0, -2, -2, 0], [-6, -3, 1, 3, 1, 1, 0, 3, -3], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -2, -1, 2, -1, 0, -3, 1], [-5, -3, -2, -3, 0, 0, 3, 1, -3], [0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 6, 1, -1, 0, 3, -1, -1, 2], [4, -1, 2, 2, -1, 1, 0, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 2, 1, -1, 2, 2, -4, -1, 2], [10, -3, 1, 1, -3, -1, -2, 3, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, -2, 0, 0, 0, 3, -1, 0, -3], [5, -1, 2, -3, -2, 0, -1, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 1, -1, 0, -1, -1, 2, -1, 1], [-1, -1, 2, 0, 0, 2, -1, -1, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 2, 2, 3, -1, 7, 0, -1], [3, 2, 1, 0, -1, 1, -1, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0], [5, -2, -1, -2, 0, 6, -1, 2, 1], [0, 0, 1, 1, 3, 7, 5, -2, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 5, 2, 0, -1, -1, -5, -3, 1]]}