# Stored data for newform 483.2.i.h, downloaded from the LMFDB on 23 April 2021.
{"level_primes": [3, 7, 23], "is_polredabs": true, "sato_tate_group": "1.2.3.c3", "rm_discs": [], "conrey_indexes": [277, 415], "cm_discs": [], "trace_hash": 1861282152382074743, "level_radical": 483, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 3, "is_cm": false, "hecke_orbit": 8, "analytic_conductor": 3.8567744176278427, "inner_twist_count": 2, "field_disc_factorization": [[2, 16], [3, 10], [7, 2], [13, 2], [1021, 4], [1373, 2], [2131, 2]], "is_rm": false, "char_order": 3, "level_is_square": false, "weight_parity": 1, "label": "483.2.i.h", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "483.2.i.h", "field_poly_is_cyclotomic": false, "dim": 20, "trace_zratio": {"__RealLiteral__": 0, "data": "0.004", "prec": 17}, "traces": [0, 20, -3, 10, -15, 5, -6, 0, 18, -10, -11, -8, 15, 0, 11, 10, -37, 11, -3, -1, -30, 0, 12, -10, 9, -21, -1, -20, 44, 44, 11, 3, -11, 8, -6, -9, 30, 3, -16, 0, -39, -52, 7, 54, -16, 5, -3, -11, -74, 22, 4, -11, -29, -5, 3, -36, 43, -2, -16, 10, -15, -22, -64, 0, 138, 11, 6, 2, 21, -20, 84, 54, -9, 8, -14, 21, -44, 8, -2, -21, 53, -10, -36, -24, 25, 46, -18, 22, 10, -6, 22, -62, 30, -3, -35, -44, 11, 12, 2, 16, -46, 20, -3, -36, -2, -3, 82, 6, 15, -15, -62, 6, 43, -70, 16, 5, -130, 0, 0, -14, -78, -2, 58, -26, -48, 66, -4, 58, -11, 27, 47, 15, -32, -33, -22, -5, -43, 1, 3, -38, 227, -22, -5, 46, -37, -32, 54, 26, 48, -27, 2, -44, -140, -22, 110, 96, 29, 6, -78, 5, 66, 0, 6, 8, 38, -18, -92, 10, 44, -32, 95, -1, -20, 22, -32, 26, -8, -10, -82, -71, 15, 98, 113, -44, -9, 64, -32, -26, 42, 0, -48, 12, 69, -28, -26, 22, -51, -100, -6, -30, -38, -2, -100, -32, 42, -2, 3, -10, -111, -32, 111, 108, 63, 27, 68, -36, -18, -32, 28, -8, -26, -45, 14, 56, 38, 42, 107, 50, -22, -45, 22, 46, 112, -48, -1, -15, -42, -42, -77, 116, -53, 14, -59, 10, 32, -44, -72, 27, 64, -12, -199, -32, -19, 16, 24, 23, -81, 72, -36, -21, -350, -22, -77, -26, -10, 202, 266, -12, 91, 50, 11, -82, -258, -4, 98, -70, 15, -46, -4, -6, -131, -70, 35, 10, -39, 44, -104, -84, 22, -33, -100, 6, -41, 86, 13, 0, 2, 8, 111, 0, -92, -7, -20, -20, -28, 50, 3, 114, 2, -72, -28, -25, -1, -53, -20, 6, 364, 28, 41, -8, 225, 12, -4, 84, -15, 55, -14, 15, 112, 71, -124, -15, 16, 3, 11, -18, 173, -66, -28, -35, 55, 24, 32, -114, 4, -5, 44, -45, 130, 158, 180, 0, 198, 62, 0, -45, -8, 11, 138, 0, -39, -17, -4, -4, 52, -202, -58, -24, -37, 26, -348, -56, -96, 31, -114, 33, -19, -20, -11, 220, -106, 29, 106, 66, -22, -140, -102, -27, -88, -28, -47, -22, 119, 30, -74, -10, -16, -24, -100, 27, 416, -41, -11, -21, 88, -10, -100, 16, 43, -24, 168, -1, -38, -48, 6, 58, -125, -19, 76, 28, 76, -146, 120, -11, 49, 160, -10, -68, -44, -46, -152, -10, 37, 54, 138, -64, 144, -1, 27, -2, 84, 4, 46, -63, 24, -38, -178, -54, -443, 8, -2, 16, 211, 44, -272, -19, -280, 15, 80, -11, 15, 132, 76, -70, -256, 48, 76, 76, 58, -92, -34, -6, -132, -28, 78, 74, 77, 10, 84, -32, 33, -9, -188, 0, -82, 8, 3, 3, 126, 16, 97, 54, -38, 72, -46, 18, -212, -45, -184, -39, -295, 5, 10, 92, 1, -12, -6, -16, 232, 52, 190, -142, 14, 1, 54, 65, 20, 228, -34, 44, 69, 75, -16, -26, 26, 73, 140, -84, -4, -10, 43, -20, -26, -180, 82, -56, -45, 71, -336, -138, 30, -114, 32, 49, -95, -124, 19, 268, 177, -22, 90, 22, -18, -63, -190, -64, 164, 44, 32, 134, -220, -52, 53, 6, 21, 7, 86, 0, 210, -97, -24, -40, 14, 24, -48, 42, -69, -55, 66, 28, -244, -62, -52, 50, -187, 11, 21, -82, 18, -230, 58, -50, 132, 42, -12, -227, 134, 30, -1, 45, 38, 166, -48, -4, -40, 153, -50, 5, 648, -46, 268, -69, 21, 26, 132, -4, -296, -82, -3, -68, 70, 10, -358, -112, -222, -64, -92, -16, 70, 268, 27, 158, -152, 54, 134, -48, 126, 64, 104, -27, 65, 85, -68, 62, -19, -72, 200, 2, -9, 28, -132, 35, -200, -60, 14, -7, 68, -16, -196, 316, 26, -9, 116, 45, 444, 32, 28, -22, 39, 28, 231, 232, -53, -122, 260, 21, 124, -11, 214, -170, -730, -50, -188, 37, 22, 202, 243, -90, -90, 43, 11, -47, -236, 38, -274, -48, 56, 8, -3, -96, -290, -82, 1, 31, 148, 15, -232, 26, -84, 40, 207, -21, -246, -6, 32, 284, -93, 58, 148, -21, -106, -12, 114, -14, -90, -80, 59, 70, -355, 20, 137, 2, 16, 19, -106, 71, 22, 118, -36, -139, 144, 54, 77, -292, -64, -103, -48, 12, -68, 88, -398, -35, -93, -16, 28, -16, -44, -136, 77, 8, 316, 46, 48, -244, -260, -23, 170, 58, 81, 342, -76, 144, 77, 105, -18, 139, -324, -9, -196, -80, -175, -32, 3, -44, -126, -264, 77, -27, 194, 26, -48, -135, -20, 48, 3, 101, 68, -174, 28, 218, 224, -6, 165, 144, 182, 6, -224, -50, 238, -78, -11, 28, 324, -164, -100, -202, -129, -35, 74, 58, -104, -36, 49, 34, -65, -140, -68, 120, -15, -134, 300, 46, 262, 23, -8, -31, 340, -3, -82, 52, 17, -36, 272, -35, -46, -12, 70, 44, -702, -10, 22, 3, 39, 462, -172, 88, 392, 50, -52, -84, 372, -48, 172, -37, 11, 52, 58, -66, -208, -240, 100, 22, -58, -6, 32, -25, -82, 13, -78, 43, -46, -118, 11, 202, 11, 0, -45, 120, 4, 121, 176, -8, -76, 48, -111, 110, 191, 0, -34, -120, -46, -9, -24, -44, -774, -8, -10, -12, 210, -40, -4, 240, 28, -60, 30, -50, -284, -89, 6, -14, -39, 57, 102, 162, -98, -662, 108, -36, 44, 100, -56, -308, 568, 25, -2, 28, 1, 214, -319, -106, 153, 78, -10, 26, 256, 9, 8, -205, 182, -74, -196, 56, 120, -156, -41, -108, -98, 8, 248, -76, 450, -17, -30, 6, 162, -74, -11, -62, -97, 42, -60, 64, -30, 141, -224, -55, -12, 113, 14, 208, -393, 30, -45, -116, 56, -132, 216, 49, 76, -27, -62, -53, 186, -30, 169, 32, -16, 85, -226, -3, 550], "hecke_ring_index_factorization": [], "field_poly": [4, 152, 5800, -84, 15786, -4026, 30661, -9009, 29358, -10565, 20315, -6640, 7135, -2021, 1707, -416, 245, -43, 22, -3, 1], "has_non_self_twist": 1, "char_values": [483, 3, [323, 346, 442], [3, 2, 3]], "Nk2": 1932, "field_poly_root_of_unity": 0, "analytic_rank": 0, "char_orbit_label": "i", "weight": 2, "trace_display": [-3, 10, 5, 0], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": true, "hecke_ring_index": 1, "level_is_prime": false, "char_is_minimal": true, "qexp_display": "q+(\\beta _{1}+\\beta _{4})q^{2}-\\beta _{9}q^{3}+(-\\beta _{1}-\\beta _{8}+\\cdots)q^{4}+\\cdots", "self_twist_discs": [], "char_is_real": false, "field_disc": 298116631044401472970837840331056152576, "level_is_prime_power": false, "relative_dim": 10, "hecke_cutters": [[2, [4, -152, 5800, 84, 15786, 4026, 30661, 9009, 29358, 10565, 20315, 6640, 7135, 2021, 1707, 416, 245, 43, 22, 3, 1]], [5, [556516, -2561764, 7945980, -14636660, 20588124, -19545514, 15668047, -9378557, 5625834, -2655713, 1332915, -485572, 197781, -56713, 20191, -4454, 1263, -187, 48, -5, 1]], [11, [31719424, 46137344, 101711872, 51494912, 107479040, 57151488, 67148032, 23564288, 20048768, 5391104, 4167744, 847040, 539456, 87344, 49792, 6744, 2504, 320, 88, 8, 1]]], "space_label": "483.2.i", "level": 483, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], "char_degree": 2, "char_conductor": 7, "char_orbit_index": 9, "hecke_ring_generator_nbound": 7, "hecke_orbit_code": 31525747180962275, "trace_moments": [{"__RealLiteral__": 0, "data": "0.063", "prec": 17}, {"__RealLiteral__": 0, "data": "17.232", "prec": 20}, {"__RealLiteral__": 0, "data": "12.775", "prec": 20}, {"__RealLiteral__": 0, "data": "1351.826", "prec": 27}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "211322.921", "prec": 34}], "id": null, "projective_field": null, "embedded_related_objects": null, "projective_image_type": null, "artin_image": null, "nf_label": null, "atkin_lehner_string": null, "atkin_lehner_eigenvals": null, "artin_field": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "fricke_eigenval": null, "artin_degree": null, "qexp": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0], [0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0], [1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -3, 1, 0, -1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, -1, -1, -2, 1, 1, -1, 0, 1], [0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 1, 1, 0, 1, 1], [1, -1, 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, 0, -1, -1, 1, 0, -1, 1, 1, 1, 0, 0, 0, 1, -1, -1], [1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 1, -1, -1, 0, 0, 0, 0, 1, -3, 0, -1, 0, 0, 1, 1, 0, 2, 0, -1], [0, 0, 0, 0, 0, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 0, 0, 1, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 1, -1, 1, 0, 0, 1, -1, 0, 0, -1, -2, -1, 0, 0, -1, -1, 1, 0], [-2, 0, -2, 0, -3, -1, 0, -1, 0, 0, 0, 0, 3, 0, 3, 1, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 1, -1, 1, 0, 2, 2, 0, 0, -1, -1, -1, 0, -1, 1, -1, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 1, 1, 2, 2, 1, 2, -1, 0, -2, -1, -3, 1, 1, -1, 0, 2], [0, 0, 0, -1, 1, 0, 1, 1, 0, 0, 0, -1, 0, -1, -1, 1, 1, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, -1, 1, 0, 1, 1, -1, 0], [1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, -1, -1, 1, 1, -1, 0, 1], [0, 0, 0, 0, -1, 0, -1, -1, -2, -1, 1, 0, 0, 0, 2, -1, 0, -1, -1, -1], [0, -1, 0, 0, 1, -2, -1, -1, 0, 0, -3, 2, 2, 2, 2, -1, -2, 2, -2, -3], [1, -1, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, 1, 1, 0, 1, 1], [0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0], [1, 0, -1, 0, 1, 1, 0, 1, 1, 1, 1, 0, -1, 0, -1, 0, 1, 2, 1, 1], [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -1, 1, 1, 0, 2, 1, 1, 0, 0, 1, -1, -1, -1, 0, 0, -1, -1, 2], [0, 1, 0, 0, 1, 0, 1, 1, 0, 1, -2, 1, 1, 0, -2, 1, -1, -2, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0], [-3, 0, -1, 1, -4, 0, -4, -3, 1, -3, 1, 1, 3, 4, 2, -1, 0, 4, 1, -1], [-3, 0, -1, 2, -3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0], [0, 0, -1, 1, -2, 1, 0, -1, 1, -1, 0, 1, 1, 0, 0, 0, 1, 0, -1, 0], [3, 0, 0, -2, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 3, -2, 2, -2, 0, -2, -3, 2, -1, -1, 3, 4, 2, 1, -1, 1, 2, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 2, -1, 1, -1, 0, -1, -2, 1, -1, -2, 2, 2, 0, 2, 0, 0, 0, -1, -2], [-3, 0, -1, -1, 1, 0, 1, 1, 0, 0, -1, -1, 0, 0, 0, 1, -1, 0, 0, 0], [2, -1, 0, 1, -1, 1, -1, 0, 0, 1, 2, 0, 0, 0, 0, -1, 1, -1, 1, 0], [-2, 0, 0, -1, -2, -1, 2, -2, 0, 0, 0, 0, 3, 0, 3, 1, -1, 0, 0, 0], [-1, 0, 1, -1, 1, 0, 0, 0, -1, -1, 1, -1, 0, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, -2, -1, -1, -1, 3, -1, 0, 2, 2, 1, 0, -1, -1, 1, -1], [0, -1, 0, 0, -2, 1, -1, -1, 0, 0, 1, 1, 0, -1, 2, -1, 0, 1, -1, -2], [0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 1, -2, 0, -1, 1, -1, 0, 0, -1, -1, -1, 0, -1, 0, 0, 0, 0, 0], [4, 1, 0, 0, 6, -3, 0, 2, -1, 2, 0, -3, 1, 1, 0, 1, -1, -1, 1, 0], [0, 0, 1, -1, 2, -1, 0, 1, 0, 0, -1, -1, -1, 0, -1, 1, -1, 0, 0, 0], [0, 4, 0, 0, 5, 0, 0, 1, 0, 0, 0, -1, -2, -1, -1, -1, -1, -1, 1, 0], [0, 0, 0, 0, 1, -1, 0, 0, 0, -2, -1, 0, 0, 1, 0, 0, 0, -2, -1, 0], [0, 1, 0, 0, 0, -1, -1, -1, -2, 2, 1, -1, 2, 1, 2, -1, -2, -1, 1, 0], [-3, -1, 0, 0, -2, 0, 0, -1, 0, -3, -1, 1, 0, 0, 1, -1, -1, 0, -1, -1], [-3, 0, -1, 0, -1, -1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0], [6, 0, 0, 5, -5, 1, -4, -4, 0, 0, 2, 2, 1, 0, 1, -3, 3, 0, 0, 0], [-1, -2, 2, 0, -1, 0, 1, -1, -2, -1, -2, 1, -1, -1, 2, -1, -2, -3, -2, -2], [0, 2, 0, 0, 1, 0, 1, 1, 1, 0, -2, 1, 0, 0, -1, 0, -1, 0, 0, 0], [0, 2, 0, 0, 0, -1, -1, -1, 1, 0, -1, 1, 1, 1, 2, -1, -1, 1, -1, -2], [1, 0, 0, 2, 2, 0, 3, 2, 0, 1, 0, 1, 0, -2, -4, 0, 2, -4, -1, 3], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, -2, 1, 0, 2, -2, 2, 1, 1, 3, -3, 1, 0, 0, -1, 2, 0, 0, -2, 0], [2, 0, 2, 0, 2, 2, 3, 2, 0, 0, 0, 0, -3, 0, -3, 0, 0, 0, 0, 0], [0, 1, 0, -1, 2, 0, 0, 1, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 1, 0, 1, 1, 0, -1, -3, 2, -2, 0, 1, -2, -1, -1, 0, -1], [0, -2, 0, 0, 0, -1, -1, -1, 0, 2, 2, -2, 2, 1, 1, 0, -1, -1, 3, 1], [2, 0, -1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, -1, -1, 1, 1, -1, 0, 2], [-4, 0, -2, 2, -10, 2, -2, -6, 0, 0, 2, 2, 4, 0, 4, -1, 1, 0, 0, 0], [2, -1, -2, 1, 0, -1, 0, -1, 1, 3, -1, 0, 0, 0, 0, 0, 1, 0, 1, 1], [0, 0, 0, -1, 2, -1, 1, 1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 2, -2, 2, 2, 0, 1, 2, 2, -1, 2, -1, -1, 0, -2, 1, 1, 0, 1, 3], [0, -1, 0, 0, -1, 1, 0, 0, 3, -6, 1, 0, -2, -1, -1, 1, 3, 5, -3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-5, -3, -1, 0, -2, 0, 3, 2, 1, -5, 0, 0, -3, -2, 0, 1, -1, -1, -1, 2], [-1, 0, 1, -1, -2, 1, -1, 1, 0, 0, 1, 1, -2, 0, -2, 0, 0, 0, 0, 0], [0, -1, 0, -2, 1, -1, 1, 0, 0, -2, 1, -2, 0, 0, 1, 1, 0, 2, 0, 0], [5, 0, -1, -1, 3, -1, -3, 0, 0, 0, 0, 0, -2, 0, -2, -1, 1, 0, 0, 0], [0, 2, 1, -1, 2, 0, -3, -1, -1, 0, 1, -1, 1, 2, 0, -1, 0, 2, 2, -1], [0, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0], [0, -2, 0, 0, -1, 2, 1, 1, 1, 0, 2, -1, -4, -2, -1, 0, 3, 2, 2, 2], [0, 2, 2, -2, 4, 0, 0, 0, -2, 0, 0, -1, -2, 0, 0, -2, -2, 0, 0, -1], [1, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [-2, -2, 0, -2, 0, 0, 1, 2, 1, 2, -2, -2, -1, -1, -2, 1, 0, 1, 1, 0], [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 2, -1, 2, 0, 1, 0, -2, -1, 0, -1, -1, 0, 1, 0, -1, -1, -1, -1], [0, -3, 0, 0, -1, -1, -2, -2, -3, 3, 3, -2, 0, 1, 3, -1, 1, 0, 1, 0], [0, -1, 0, 0, -2, 3, 1, 1, -2, 4, 2, 0, -2, -3, 1, -2, -1, -2, 0, 1], [0, -1, 0, 0, -5, 0, -2, -4, 0, 0, -2, 3, 3, 2, 3, -2, -1, 2, -2, -3], [0, 0, 1, 1, 1, 0, 2, 4, 0, 0, -1, -1, -3, 0, -3, -1, 1, 0, 0, 0], [2, 1, 0, -3, 3, 2, 3, 5, 1, 1, -2, -1, -4, -3, -4, 2, 0, -2, 0, 2], [1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 4, -1, -1, 0, 0, -6, -3, 1, -1, 2, -1, 1, 5, 3, -2, -2, 7, 3, -2]]}