# Stored data for newform 1071.2.i.g, downloaded from the LMFDB on 02 October 2025.
{"Nk2": 4284, "analytic_conductor": 8.551978056479129, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 7, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 9, "char_orbit_label": "i", "char_order": 3, "char_parity": 1, "char_values": [1071, 3, [596, 766, 190], [3, 2, 3]], "cm_discs": [], "conrey_index": 613, "dim": 10, "field_disc": -5743021975227, "field_disc_factorization": [[-1, 1], [3, 5], [153733, 2]], "field_poly": [243, -324, 54, 90, -24, -12, -8, 10, 2, -4, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "has_non_self_twist": 1, "hecke_cutters": [[2, [225, 105, 259, 112, 215, 85, 70, 14, 11, 2, 1]]], "hecke_orbit": 7, "hecke_orbit_code": 27022147553592367, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "1071.2.i.g", "level": 1071, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [3, 7, 17], "level_radical": 357, "minimal_twist": "357.2.i.f", "nf_label": "10.0.5743021975227.1", "prim_orbit_index": 3, "qexp_display": "q+(-\\beta _{1}+\\beta _{6})q^{2}+(-2+\\beta _{3}+2\\beta _{4}+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "1.2.3.c3", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1071.2.i", "trace_display": [-2, 0, 1, -5], "trace_hash": 856677824415973668, "trace_moments": [{"__RealLiteral__": 0, "data": "0.029", "prec": 17}, {"__RealLiteral__": 0, "data": "8.841", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "314.765", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "19591.537", "prec": 30}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.007", "prec": 17}, "traces": [0, 10, -2, 0, -8, 1, 0, -5, 0, 0, -13, -11, 0, 14, -3, 0, 2, 5, 0, -9, -24, 0, 10, -23, 0, -14, 18, 0, 7, 36, 0, -9, 3, 0, -4, 5, 0, 0, 0, 0, -31, -6, 0, 24, -33, 0, -13, 11, 0, 3, -48, 0, -5, -3, 0, -20, 27, 0, 34, -14, 0, -29, 10, 0, 0, -8, 0, -16, 8, 0, 18, 38, 0, -11, 45, 0, 18, -21, 0, -1, -5, 0, 4, -10, 0, 2, -3, 0, -37, 8, 0, -33, 96, 0, 18, -21, 0, 38, 17, 0, -59, 18, 0, -4, -58, 0, 34, 13, 0, -28, -21, 0, 70, 74, 0, 30, -26, 0, -2, -7, 0, -14, -26, 0, 38, -126, 0, -16, -17, 0, -89, -25, 0, 12, -56, 0, 0, -9, 0, 6, 50, 0, 8, 23, 0, -10, -44, 0, -14, 1, 0, -13, 15, 0, -21, 8, 0, -5, 6, 0, 26, -16, 0, -6, -11, 0, -30, 0, 0, 56, 13, 0, -60, 12, 0, 62, 36, 0, 20, 8, 0, 46, -6, 0, 17, 78, 0, 11, -26, 0, 150, 16, 0, -26, 4, 0, 51, 40, 0, 26, 72, 0, -160, -15, 0, -13, 36, 0, -15, -36, 0, -6, -58, 0, 12, 3, 0, 46, 102, 0, -4, 7, 0, 82, 3, 0, -42, -16, 0, -82, 104, 0, 22, -12, 0, 34, -34, 0, 3, 56, 0, 19, -51, 0, 126, 25, 0, -75, 32, 0, -82, -92, 0, 118, -5, 0, 66, -6, 0, -47, -156, 0, 55, 1, 0, 14, -3, 0, 65, 65, 0, 13, 4, 0, 112, -24, 0, 15, 15, 0, 108, -88, 0, -5, -72, 0, -200, -51, 0, -5, -137, 0, -48, 46, 0, -164, 49, 0, -113, -2, 0, 3, 62, 0, -12, -20, 0, 40, 114, 0, 93, 33, 0, -9, 26, 0, 38, 24, 0, -37, -70, 0, 27, -18, 0, -57, -25, 0, -20, -9, 0, -53, -21, 0, -100, -12, 0, -28, -6, 0, -12, 18, 0, 52, 192, 0, -37, -73, 0, 104, 195, 0, 29, 33, 0, 38, -8, 0, -72, 49, 0, 20, -126, 0, 18, -170, 0, 17, 16, 0, -76, -26, 0, -30, 5, 0, -1, 242, 0, -28, 21, 0, -23, 33, 0, 51, 108, 0, 91, 13, 0, -46, 6, 0, -6, 82, 0, -71, -86, 0, 64, -22, 0, -1, 47, 0, 63, 58, 0, 42, -80, 0, -160, 83, 0, -35, -52, 0, 45, -86, 0, -12, -26, 0, -46, 14, 0, 33, -44, 0, -60, 14, 0, -60, -33, 0, -2, -15, 0, -38, 316, 0, 36, 10, 0, 17, -48, 0, 94, -158, 0, 29, -146, 0, -42, -177, 0, -30, -45, 0, 90, -30, 0, 6, -42, 0, -32, -40, 0, 90, -122, 0, 70, -123, 0, 66, -28, 0, 92, -66, 0, 24, 78, 0, 78, 18, 0, 5, -4, 0, -56, -32, 0, 18, -51, 0, -208, -72, 0, 33, 170, 0, -87, 22, 0, -44, -54, 0, -20, 95, 0, -18, -12, 0, 66, -14, 0, 26, 9, 0, -28, 98, 0, -39, -96, 0, -24, 9, 0, -20, -105, 0, -75, 104, 0, -43, 102, 0, -238, 71, 0, -20, -68, 0, -3, 232, 0, 118, 53, 0, 45, -87, 0, -41, -30, 0, -40, -14, 0, -72, -28, 0, 73, -45, 0, 76, 78, 0, -8, -46, 0, 13, -10, 0, 51, 200, 0, -12, -2, 0, -202, -133, 0, -45, -7, 0, -23, 32, 0, 12, 4, 0, 47, -97, 0, -14, 12, 0, 142, -69, 0, -4, 171, 0, 20, -70, 0, 129, 96, 0, 288, 57, 0, -42, -138, 0, -81, -122, 0, -24, 45, 0, -276, 19, 0, -19, -43, 0, -32, 0, 0, -36, 102, 0, 234, -60, 0, 124, -222, 0, 146, 29, 0, 70, -169, 0, 0, 33, 0, -40, -348, 0, -50, -2, 0, -57, -48, 0, -18, 82, 0, -91, 67, 0, -92, 87, 0, -28, -2, 0, 65, 84, 0, -84, 185, 0, -6, 30, 0, 170, -62, 0, 77, 96, 0, 104, 6, 0, -78, 5, 0, 83, -176, 0, -144, 144, 0, -3, -105, 0, 125, 92, 0, 69, 54, 0, -118, 42, 0, 54, -141, 0, -55, 74, 0, -96, -30, 0, 14, 16, 0, -122, 80, 0, -35, -75, 0, -14, 204, 0, 0, 12, 0, -8, 114, 0, -58, 64, 0, -76, 217, 0, -18, 32, 0, -20, 55, 0, -66, 50, 0, -90, 9, 0, 35, -58, 0, 94, -96, 0, -9, 77, 0, -78, -310, 0, -86, 44, 0, 42, 333, 0, -19, -32, 0, 49, -136, 0, 36, -48, 0, -72, 13, 0, -115, -144, 0, -87, 20, 0, 12, -147, 0, -76, -16, 0, 86, -88, 0, 22, -36, 0, -23, -114, 0, -155, 34, 0, 140, 24, 0, 156, 42, 0, 113, 10, 0, 33, 32, 0, 8, -5, 0, 14, 48, 0, 159, 70, 0, -65, -124, 0, 56, 0, 0, -215, -57, 0, 70, -86, 0, 218, -84, 0, -75, 79, 0, 55, 194, 0, -24, -33, 0, -58, -12, 0, -39, 78, 0, -91, 126, 0, 186, -97, 0, -5, 109, 0, -197, -36, 0, -97, -157, 0, -96, 219, 0, -73, 9, 0, -96, -130, 0, -62, 5, 0, 179, -37, 0, -169, -106, 0, -174, 75, 0, -92, -99, 0, 90, 14, 0, 3, -36, 0, -10, -112, 0, 11, -22, 0, 360, -30, 0, 91, 94, 0, 176, -59, 0, 7, -177, 0, -47, 70, 0, 160, 126, 0, -41, 148, 0, 51, 208, 0, -144, -10, 0, 158, 39, 0, 36, 51, 0, 29, -110, 0, 288, 76, 0, 74, 87, 0, 54, -222, 0, -95, -45, 0, 114, -41, 0, -14, 185, 0, -17, -52, 0, 40, -118, 0, 252, -86, 0, -181, 374, 0, -33, 93, 0, 112, -220, 0, 129, -3, 0, -22, 68, 0, 90, -54, 0, 71, 68, 0, 15, -42, 0, 76, 37, 0, 188, -171, 0, 14, 11, 0, -102, 24, 0, 180, -133, 0, -175, -11, 0, -204, -106, 0, 19, -35, 0, 294, 126, 0, 69, -36, 0, 30, 36, 0, -192, 119, 0, 22, 10, 0, -29, -58, 0, -9, 177, 0, 132, -78, 0, 27, 55, 0, 70, 98, 0, -252, 30, 0, 5, -49, 0, 32, 96, 0, -78, 12, 0, -188, 60, 0, -58, 12, 0, -149, 36, 0, -312, -17, 0, -21, 108, 0, -223, 144, 0, 28, 24, 0, 36, -40, 0, 55, 0, 0, 49, 16, 0, -124, 13, 0, -106, 79, 0, 138, 288, 0, -27, 47, 0, -16, 18, 0, 3, 49, 0, 154, -502, 0, -246, -7, 0, -26, 141, 0, 9, -90, 0, -11, 84, 0, 346, -20, 0, -13, -170, 0, 19, -108, 0, 88, -57, 0, -40, 16, 0, -103, -192, 0, -48, -38, 0, 108, -42, 0, 156, -6, 0, 23, -54, 0, 16, 61, 0, -102, -183, 0, 51, 222, 0, 71, -142, 0, 0, -4, 0, -22, -136, 0, 57, -18, 0, -60, 3, 0, 196, 82, 0, -112, -152, 0, -74, -46, 0, 82, -75, 0, 41, -64, 0, 203, 66, 0, 212, -97, 0, -43, -161, 0, -21, 122, 0, 19, -12, 0, 46, -172, 0, 105, 3, 0, -39, 32, 0, 44, 11, 0, 70, -29, 0, -53, 244, 0, -9, -38, 0, 128, -195, 0, 139, 3, 0, 10, -52, 0, -284, 11, 0, -145, 78, 0, -51, 180, 0, -2, 407, 0, -62, 107, 0, -61, 120, 0, -45, -192, 0, -64, 190, 0, 41, 98, 0, 80, -144, 0, -231, 68, 0, 138, 171, 0, -80, 44, 0, -65, -104, 0, -232, -78, 0, 60, 138, 0, 126, -146, 0, 12, 9, 0, 78, -214, 0, 32, -15, 0, -249, -20, 0, -4, 67, 0, 60, -62, 0, -18, 250, 0, -71, -191, 0, -76, 54, 0, -71, -18, 0, -27, 144, 0, 42, -53, 0, 3, -62, 0, -225, -90, 0, 102, 211, 0, 430, -190, 0, -72, 212, 0, -67, -2, 0, -256, 135, 0, 47, -27, 0, 150, -470, 0, 12, 94, 0, 274, -339, 0, 5, 24, 0, 53, -286, 0, -158, -39, 0, -59, 282, 0, -41, -16, 0, 121, 21, 0, -68, -21, 0, 176, 147, 0, 181, 330, 0, -192, -68, 0, -110, -36, 0, -78, 8, 0, -228, 129, 0, -240, -159, 0, 54, -122, 0, 6, -384, 0, -74, 95, 0, -5, -1, 0, 231, 266, 0, -3, -56, 0, -230, 321, 0, -72, -19, 0, -93, 260, 0, 74, -109, 0, 151, -8, 0, -90, -42, 0, -1, 58, 0, -154, 174, 0, 122, 1, 0, 64, 432, 0, -540, 49, 0, 16, 181, 0, -60, -22, 0, 53, 155, 0, -6, 9, 0, 112, 179, 0, 63, -96, 0, 194, 59, 0, 277, -139, 0, -133, -196, 0, -98, -72, 0, 224, 274, 0, -65, -204, 0, -71, -252, 0, -10, -2, 0, -29, 37, 0, -66, -96, 0, 36, -61, 0, -88, 156, 0, -72, -177, 0, 205, -168, 0, 16, -127, 0, 53, 76, 0, -89, -204, 0, -100, -64, 0, 192, -378, 0, 103, 101, 0, 81, 62, 0, -436, -271, 0, -16, -54, 0, -213, 84, 0, 27, 70, 0, 294, -18, 0, -6, -156, 0, 253, 90, 0, -342, 140, 0, -63, -75, 0, -314, 88, 0, 48, -8, 0, -132, -33, 0, -41, 59, 0, 27, 12, 0, -158, -102, 0, 12, 199, 0, -18, 168, 0, 159, 31, 0, 124, -116, 0, -18, -9, 0, -61, 76, 0, -16, -18, 0, 175, 28, 0, -77, 288, 0, -52, 29, 0, -146, -474, 0, 116, -121, 0, 21, 36, 0, -72, -73, 0, 102, 42, 0, 339, -626, 0, 119, 151, 0, -168, 69, 0, -106, 57, 0, 204, -148, 0, -126, -12, 0, -72, 146, 0, -105, -516, 0, 122, 19, 0, 350, -88, 0, -147, 49, 0, -45, 92, 0, 128, -67, 0, -97, -90, 0, 91, 258, 0, -28, -21, 0, 264, 141, 0, 0, 195, 0, 24, 214, 0, -268, 225, 0, 176, 83, 0, -172, 144, 0, -55, 81, 0, 228, -15, 0, -58, 94, 0, 88, -118, 0, -298, -271, 0, 130, -121, 0, -252, -348, 0, 70, -50, 0, -192, -220, 0, -18, -36, 0, -297, 308, 0, 348, 47, 0, 11, 38, 0, -189, -270, 0, 69, 41, 0, 40, -87, 0, 21, -114, 0, -59, 72, 0, -30, 85, 0, -89, -42, 0, 39, -8, 0, -19, 230, 0, 324, 0, 0, 101, -17, 0, -75, -42, 0, 64, 102, 0, -29, -115, 0, -60, -24, 0, 45, -156, 0, 182, 126, 0, -22, 158, 0, -25, -82, 0, -210, 4, 0, 60, -229, 0, 61, -90, 0, 39, 121, 0, -216, 24, 0, 93, 17, 0, -53, 182, 0, 72, -63, 0, 162, 225, 0, -56, 386, 0, -111, -80, 0, 26, 471, 0, -111, -62, 0, -111, 80, 0, 470, -63, 0, -29, -90, 0, 102, -38, 0, 0, -105, 0, 146, 247, 0, 36, -104, 0, 167, -116, 0, 98, 210, 0, -85, 28, 0, -25, 44, 0, 126, 100, 0, -16, 0, 0, -128, -58, 0, 147, 170, 0, -42, 19, 0, 33, -88, 0, -303, 74, 0, 73, -10, 0, -402, -108, 0, 218, 91, 0, 67, -46, 0, -18, -240, 0, 129, 13, 0, -87, -590, 0, -129, -106, 0, -420, 38, 0, 20, -94, 0, 25, -404, 0, -56, 240, 0, 26, -94, 0, -285, 222, 0, 37, -107, 0, 260, 90, 0, 44, -192, 0, 59, -6, 0, -46, 228, 0, -55, 140, 0, -306, -302, 0, -315, -99, 0, 254, -453, 0, 92, 82, 0, -15, 98, 0, 86, -30, 0, -36, -24, 0, -350, -198, 0, 139, -89, 0, 182, 61, 0, 121, -31, 0, 26, 182, 0, 292, 210, 0, -36, -10, 0, -103, -84, 0, -163, 42, 0, -160, 69, 0, 197, -150, 0, 52, -598, 0, -462, -88, 0, -92, 144], "weight": 2, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "fricke_eigenval": 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, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 0, 1, 2, 0, 0, 0, 0, 0], [0, -1, -1, 0, 1, 0, 1, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 1, 0, -1, 1, 1, 1, 0], [0, 0, -1, -1, 1, -2, 2, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, -2, 2, 2, 4, -1, -1, -1, -1, 0], [-2, 0, 0, 1, 2, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 0, 0, -1, 2, 0, -1, 1, 0], [0, 2, -1, -2, 0, -1, 1, 1, 2, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, -1, -2], [1, 0, 0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, -2, 0, -1, -1, 2, 2, 0, 0], [-4, 1, 2, -1, 1, -2, 0, 1, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, -2, 1, -2, -1, 1, -2, 2], [0, 0, 1, 0, -5, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-5, -1, 1, 1, 5, -1, 1, -1, -2, 0], [1, -3, -4, 0, 6, -1, 4, 2, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, -1, -1, -5, 0, 1, 0, 0, -2], [4, 2, -3, -1, 0, 0, 4, 0, 4, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, -1, -3, 1, 0, 1, 0, 0, 0], [0, -1, 1, 1, 0, -1, -1, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 1, 0, 1, 0], [2, 1, 1, -1, -3, -2, -3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 4, 2, 0, -2, 1, -5, -2, 1, 1], [1, 0, 0, 0, -1, -1, -2, -1, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 3, 5, 0, -9, 1, -4, -2, -1, -4], [-1, 2, 0, -1, -1, 2, -1, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -1, -5, -3, 2, -4, 5, 2, 3, 3], [0, -2, 3, 0, -7, 0, 2, 0, -1, -4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, -6, -1, 0, 1, 1, 1, 5, 0], [-1, 2, 2, 0, 1, 1, -3, -2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -2, -2, 0, -1, 4, -1, 3, 0], [-8, -1, 7, 3, 2, -4, -1, 2, -3, -3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, -4, 4, 2, 4, -1, 0, -1, -4, 0], [-1, 0, 0, 3, 1, 0, -1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 1, -3, -3, 2, -4, 5, 2, 3, 3], [1, 2, -2, 2, 4, 1, 0, -1, 4, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -6, -3, 0, 10, -1, 7, 2, -2, -1], [-4, 2, -2, -1, 4, 0, 3, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -2, -1, 0, -5, -1, 3, 2, 0, -1], [1, -2, 4, 4, -2, 4, -6, -2, -4, -4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 1, 4, 3, 0, 0, 0, 0, 0, -3], [0, -5, -4, 0, 2, 0, 5, 0, 1, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, -1, 1, -5, 3, -1, 1, -1, -2, 0], [0, 0, -1, 0, 2, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 5, 0, -2, -16, 4, -1, -2, 4, -2], [5, 0, -3, -2, 0, 0, 1, 0, 1, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 0, 1, 3, 2, 2, 2, -2, 0], [10, 4, -4, -5, -10, 1, 4, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 1, -4, -3, 0, 0, 2, 0, 2, 3], [1, -4, -1, -2, -1, -1, 2, 2, -2, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, -1, -1, 1, 2, 4, 1], [1, 5, -5, 1, -1, 2, 1, 2, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -2, 0, 2, 0, 1, 0, -3, -1], [-3, 4, 4, -1, -3, 6, -7, -3, -4, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, -1, 0, 0, 0, 0, 0, 0, 0], [-2, -3, 6, 0, -1, 2, 1, -4, -4, -6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, 0, 3, 4, 1, -5, 1, 5, 0], [-2, 3, 3, 0, 0, 2, -5, -4, -2, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, -1, -5, 0, 3, -4, 8, 6, 1, 0], [12, -1, -5, -4, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, -1, -3, 1, 2, 1, -2, 0], [-2, 4, -4, -3, 2, -1, 0, -1, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, -4, 5, 7, 1, -2, 0, 1, -1, -7], [-4, -1, 0, 4, 11, 3, 0, 0, -1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 7, 4, 0, -17, -2, -5, 4, 4, -4]]}