# Stored data for newform 1152.2.i.f, downloaded from the LMFDB on 24 April 2024. {"label": "1152.2.i.f", "space_label": "1152.2.i", "level": 1152, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22518547926221952, "dim": 10, "is_polredabs": true, "nf_label": "10.0.8528759163648.1", "trace_hash": 2208099790234390808, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [36, 162, 717, 198, 328, -18, 117, -4, 12, 0, 1]], [7, [4, 2, 33, -48, 240, -138, 129, 0, 24, -4, 1]]], "qexp_display": "q+(-\\beta _{5}-\\beta _{7})q^{3}+\\beta _{8}q^{5}+(1+\\beta _{1}+\\cdots)q^{7}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 9, "char_orbit_label": "i", "char_is_real": false, "Nk2": 4608, "analytic_conductor": 9.1987663128515, "hecke_ring_index": 3, "level_radical": 6, "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": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.010", "prec": 17}, "analytic_rank_proved": true, "char_values": [1152, 3, [127, 901, 641], [3, 3, 2]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [2, 3], "conrey_indexes": [385, 769], "field_disc": -8528759163648, "field_disc_factorization": [[-1, 1], [2, 8], [3, 9], [1301, 2]], "field_poly": [243, -162, 27, 0, 27, -36, 9, 0, 1, -2, 1], "hecke_ring_index_factorization": [[3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.323", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "363.997", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "27424.061", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c3", "trace_display": [0, -1, 0, 4], "traces": [0, 10, 0, -1, 0, 0, 0, 4, 0, -1, 0, 1, 0, -6, 0, -12, 0, -6, 0, -18, 0, -16, 0, -4, 0, 1, 0, 2, 0, 4, 0, 8, 0, -13, 0, 24, 0, 20, 0, 18, 0, -5, 0, 13, 0, 12, 0, 6, 0, 3, 0, -3, 0, 0, 0, -12, 0, 27, 0, 13, 0, -10, 0, 20, 0, 0, 0, 17, 0, 10, 0, -8, 0, -34, 0, 29, 0, -8, 0, 6, 0, -1, 0, -12, 0, -18, 0, -10, 0, 44, 0, -36, 0, -26, 0, 6, 0, 27, 0, -34, 0, -8, 0, 22, 0, -48, 0, -42, 0, 40, 0, 34, 0, 22, 0, 30, 0, -6, 0, -24, 0, 14, 0, -64, 0, 12, 0, -32, 0, 29, 0, -24, 0, -30, 0, -48, 0, 3, 0, 31, 0, 18, 0, -36, 0, -72, 0, 54, 0, 34, 0, 8, 0, -9, 0, 42, 0, -38, 0, -60, 0, -16, 0, -32, 0, -42, 0, -16, 0, 29, 0, 21, 0, -16, 0, 22, 0, -28, 0, 24, 0, 32, 0, 76, 0, 12, 0, 33, 0, -4, 0, 24, 0, 31, 0, -6, 0, 24, 0, -72, 0, 52, 0, 22, 0, -24, 0, 46, 0, 9, 0, 6, 0, 86, 0, 96, 0, -88, 0, 31, 0, 0, 0, 38, 0, -34, 0, -47, 0, -40, 0, 8, 0, -26, 0, -48, 0, -48, 0, 32, 0, 35, 0, -91, 0, 54, 0, 36, 0, -60, 0, 26, 0, 92, 0, 66, 0, -47, 0, 26, 0, 26, 0, -10, 0, 48, 0, -122, 0, 32, 0, -112, 0, 72, 0, -11, 0, -38, 0, -86, 0, -26, 0, 4, 0, 84, 0, -140, 0, -56, 0, 93, 0, -32, 0, 48, 0, 5, 0, 12, 0, -32, 0, -124, 0, 24, 0, -102, 0, -130, 0, -66, 0, 43, 0, 84, 0, -14, 0, 52, 0, -33, 0, 78, 0, 48, 0, 44, 0, 36, 0, 10, 0, -14, 0, 30, 0, 37, 0, -22, 0, -28, 0, -112, 0, 48, 0, 45, 0, -2, 0, 36, 0, 1, 0, 30, 0, 6, 0, 92, 0, -28, 0, 46, 0, 6, 0, 70, 0, -13, 0, 18, 0, -14, 0, 6, 0, 0, 0, -118, 0, -112, 0, 56, 0, 48, 0, -40, 0, -36, 0, 54, 0, -48, 0, -180, 0, 124, 0, 54, 0, -9, 0, 24, 0, 18, 0, -76, 0, 35, 0, -111, 0, -152, 0, -36, 0, 80, 0, -62, 0, -32, 0, -84, 0, 33, 0, 74, 0, 48, 0, -60, 0, -62, 0, 114, 0, 12, 0, 60, 0, -105, 0, 9, 0, 0, 0, -130, 0, -38, 0, -62, 0, 22, 0, -60, 0, 35, 0, 108, 0, 18, 0, 62, 0, -84, 0, 146, 0, 56, 0, 104, 0, -59, 0, 63, 0, 24, 0, 86, 0, 24, 0, 34, 0, 144, 0, 36, 0, 68, 0, 51, 0, -30, 0, 66, 0, -8, 0, 93, 0, 142, 0, 12, 0, -96, 0, 37, 0, -2, 0, -4, 0, 12, 0, -96, 0, -42, 0, 40, 0, 50, 0, -28, 0, -40, 0, 30, 0, 35, 0, -157, 0, -30, 0, 6, 0, 0, 0, -138, 0, -4, 0, 16, 0, 60, 0, 67, 0, 10, 0, -66, 0, 36, 0, -126, 0, 68, 0, -72, 0, 111, 0, -39, 0, -66, 0, -52, 0, 3, 0, 35, 0, 72, 0, 8, 0, -122, 0, 20, 0, -30, 0, 18, 0, 24, 0, 113, 0, -36, 0, -96, 0, -12, 0, -12, 0, -78, 0, 40, 0, 1, 0, 55, 0, 60, 0, -10, 0, -88, 0, 60, 0, 68, 0, 66, 0, 21, 0, 43, 0, 94, 0, 38, 0, 55, 0, 33, 0, -204, 0, -140, 0, 84, 0, 0, 0, -84, 0, 86, 0, -9, 0, 23, 0, -126, 0, 156, 0, -122, 0, 106, 0, -44, 0, -30, 0, 61, 0, -62, 0, -44, 0, 42, 0, -48, 0, -40, 0, -98, 0, 74, 0, 6, 0, -73, 0, -42, 0, -6, 0, -13, 0, -18, 0, 0, 0, 28, 0, -60, 0, -16, 0, -40, 0, 12, 0, 39, 0, -85, 0, 0, 0, -132, 0, 24, 0, -68, 0, -18, 0, -150, 0, -20, 0, -36, 0, -14, 0, -164, 0, 88, 0, 79, 0, 58, 0, 48, 0, 110, 0, 27, 0, -76, 0, -168, 0, 74, 0, -86, 0, 24, 0, -108, 0, -24, 0, 42, 0, -78, 0, -32, 0, -71, 0, 36, 0, 164, 0, 82, 0, 70, 0, -38, 0, -18, 0, 0, 0, 30, 0, 98, 0, 216, 0, -40, 0, 4, 0, 93, 0, -26, 0, 116, 0, -48, 0, -16, 0, 148, 0, 244, 0, 24, 0, 30, 0, 96, 0, 78, 0, -38, 0, 11, 0, -6, 0, -44, 0, -30, 0, -86, 0, 76, 0, 132, 0, 39, 0, -132, 0, 116, 0, 34, 0, -16, 0, -200, 0, 68, 0, 14, 0, 15, 0, 12, 0, 34, 0, -50, 0, -31, 0, -76, 0, -60, 0, 68, 0, -52, 0, -98, 0, 14, 0, -162, 0, 66, 0, 95, 0, 146, 0, -108, 0, 24, 0, 2, 0, -108, 0, 6, 0, -18, 0, 60, 0, -26, 0, -124, 0, -180, 0, -6, 0, -168, 0, -34, 0, 40, 0, 101, 0, 84, 0, 36, 0, 36, 0, 272, 0, 0, 0, 86, 0, -96, 0, 39, 0, -22, 0, 92, 0, 0, 0, 126, 0, -156, 0, 80, 0, -15, 0, 90, 0, -46, 0, 164, 0, -18, 0, 45, 0, -138, 0, 24, 0, -52, 0, -61, 0, -54, 0, 50, 0, -120, 0, -129, 0, 48, 0, 128, 0, -14, 0, 96, 0, -34, 0, -114, 0, -45, 0, -51, 0, -168, 0, 34, 0, -33, 0, -100, 0, 40, 0, 0, 0, -21, 0, 68, 0, 56, 0, -98, 0, 24, 0, -108, 0, -4, 0, 160, 0, 92, 0, -30, 0, -18, 0, -128, 0, -36, 0, 15, 0, -48, 0, -24, 0, -20, 0, 74, 0, 122, 0, -120, 0, 2, 0, 79, 0, 44, 0, -38, 0, 166, 0, 0, 0, 208, 0, -36, 0, 1, 0, 48, 0, 0, 0, -28, 0, 48, 0, -116, 0, -60, 0, -130, 0, -22, 0, -43, 0, -30, 0, 24, 0, -4, 0, 23, 0, -84, 0, -60, 0, 24, 0, 3, 0, 20, 0, 54, 0, 104, 0, -65, 0, 154, 0, -48, 0, 120, 0, -68, 0, -66, 0, -16, 0, 106, 0, -75, 0, 24, 0, 42, 0, -130, 0, -80, 0, 8, 0, 44, 0, -24, 0, 29, 0, 130, 0, -98, 0, -60, 0, -24, 0, 64, 0, -82, 0, -33, 0, -80, 0, 48, 0, 18, 0, -9, 0, -90, 0, 124, 0, -132, 0, -17, 0, 9, 0, 52, 0, 8, 0, 12, 0, -26, 0, -50, 0, -228, 0, -114, 0, -24, 0, -144, 0, 24, 0, -109, 0, -15, 0, 90, 0, 60, 0, 176, 0, -26, 0, -120, 0, -96, 0, 33, 0, 162, 0, -102, 0, 38, 0, 24, 0, 98, 0, -32, 0, -22, 0, 49, 0, -54, 0, -24, 0, 10, 0, -75, 0, 96, 0, -24, 0, -36, 0, 24, 0, 44, 0, 114, 0, 30, 0, -43, 0, -30, 0, -206, 0, 224, 0, 102, 0, -62, 0, 36, 0, -10, 0, 6, 0, 0, 0, -66, 0, 200, 0, 30, 0, -8, 0, -24, 0, 178, 0, -23, 0, -235, 0, -12, 0, 66, 0, 32, 0, -78, 0, -132, 0, -130, 0, 72, 0, -34, 0, -66, 0, -82, 0, -27, 0, -15, 0, -144, 0, 60, 0, -116, 0, -117, 0, 60, 0, -24, 0, 9, 0, -85, 0, -162, 0, -132, 0, -38, 0, -19, 0, 66, 0, 88, 0, 36, 0, 58, 0, 66, 0, -60, 0, -264, 0, 36, 0, 258, 0, -6, 0, 7, 0, 177, 0, -12, 0, 4, 0, 141, 0, 222, 0, -172, 0, -30, 0, 0, 0, 78, 0, -10, 0, 144, 0, -36, 0, 29, 0, 204, 0, 268, 0, -79, 0, 84, 0, 26, 0, 130, 0, -53, 0, 66, 0, 174, 0, 0, 0, 102, 0, 1, 0, 114, 0, -72, 0, -9, 0, -36, 0, 94, 0, 48, 0, 216, 0, 138, 0, 118, 0, -12, 0, -24, 0, -60, 0, 64, 0, -60, 0, 61, 0, -152, 0, -204, 0, -32, 0, 43, 0, -30, 0, 2, 0, -90, 0, 24, 0, 86, 0, 324, 0, 4, 0, -129, 0, 5, 0, 0, 0, -144, 0, -142, 0, -18, 0, 76, 0, 228, 0, 96, 0, -114, 0, 18, 0, -58, 0, -20, 0, 126, 0, 32, 0, -48, 0, 0, 0, 296, 0, -186, 0, 54, 0, -96, 0, 140, 0, 78, 0, -130, 0, 12, 0, -14, 0, -60, 0, -36, 0, -7, 0, 2, 0, 24, 0, 12, 0, 30, 0, 98, 0, -332, 0, -36, 0, -264, 0, -95, 0, 54, 0, 22, 0, 204, 0, -105, 0, -156, 0, -8, 0, 60, 0, -126, 0, -82, 0, -126, 0, -14, 0, -3, 0, -4, 0, 146, 0, -302, 0, 256, 0, 82, 0, 42, 0, -72, 0, -87, 0, -50, 0, -80, 0, 228, 0, 180, 0, -136, 0, 12, 0, -47, 0, -114, 0, -170, 0, 18, 0, -124, 0, 37, 0, -24, 0, -168, 0, -56, 0, 113, 0, 48, 0, 14, 0, -72, 0, -178, 0, -216, 0, -136, 0, 48, 0, -215, 0, 100, 0, -112, 0, 41, 0, -72, 0, -96, 0, 138, 0, 198, 0, 56, 0, 216, 0, -204, 0, -10, 0, -60, 0, -170, 0, -6, 0, 117, 0, 6, 0, -104, 0, -14, 0, 0, 0, -118, 0, 4, 0, 22, 0, -52, 0, 126, 0, 428, 0, -20, 0, 5, 0, 18, 0, -30, 0, 46, 0, -9, 0, -96, 0, 174, 0, 240, 0, -70, 0, -174, 0, 134, 0, 12, 0, 12, 0, 91, 0, 10, 0, 214, 0, 176, 0, 14, 0, 204, 0, 22, 0, -112, 0, 0, 0, 144, 0, 56, 0, 48, 0, -228, 0, -148, 0, -42, 0, 62, 0, 13, 0, 74, 0, -60, 0, -84, 0, -57, 0, -104, 0, 436, 0, -8, 0, -174, 0, 30, 0, 72, 0, 173, 0, -19, 0, -8, 0, -200, 0, 240, 0, 59, 0, -252, 0, -6, 0, 95, 0, -90, 0, -2, 0, 66, 0, 24, 0, -40, 0, -60, 0, 18, 0, 5, 0, -84, 0, 146, 0, 32, 0, 37, 0, 130, 0, -48, 0, -228, 0, -112, 0, -46, 0, -84, 0, 94, 0, -35, 0, 18, 0, -348, 0, 152, 0, 84, 0, 144, 0, -4, 0, -78, 0, -128, 0, -48, 0, -310, 0, -200, 0, 262, 0, -109, 0, -114, 0, -48, 0, 115, 0, -75, 0, 114, 0, 18, 0, 384, 0, 222, 0, -86, 0, -60, 0, 35, 0, 200, 0, -274, 0, -146, 0, 12, 0, 36, 0, 8, 0, -170, 0, 140, 0, -3, 0, -138, 0, -50, 0, -54, 0, 96, 0, 96, 0, 348, 0, -343, 0, 53, 0, 130, 0, -68, 0, -48, 0, 85, 0, -188, 0, 156, 0, 84, 0, -118, 0, 188, 0, -118, 0, -6, 0, 62, 0, 150, 0, -6, 0, -234, 0, 352, 0, 230, 0, 96, 0, -4, 0, 96, 0, 28, 0, -142, 0, 0, 0, 42, 0, 60, 0, 42, 0, 61, 0, -120, 0, -112, 0, -150, 0, -126, 0, 207, 0, 76, 0, 96, 0, -164, 0, -117, 0, 96, 0, 66, 0, 48, 0, -56, 0, 42, 0, -16, 0, 24, 0, -67, 0, -30, 0, -152, 0, -116, 0, -78, 0, 36, 0, 128, 0, -216, 0, 144, 0, 282, 0, 52, 0, -72, 0, -20, 0, 128, 0, -66, 0, -64, 0, 200, 0, 28, 0, -124, 0, -132, 0, -104, 0, 36, 0, 134, 0, -21, 0, 156, 0, 16, 0, -4, 0], "weight_parity": 1, "has_non_self_twist": 1, "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], [1, 1, 9, 3, 1, 3, 0]], "char_orbit_index": 9, "prim_orbit_index": 3, "minimal_twist": "1152.2.i.e", "char_is_minimal": true, "conrey_index": 385, "id": null, "fricke_eigenval": null, "atkin_lehner_string": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[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, 0, 0, 0, 0, -1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, -1, -1, -1, -1, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, -1, -1, -1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, -1, -1, -1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 1, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 1, 1, 0, 0, -1, -1, -1, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 0, 1, 0, 0, 0, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 0, 0, 1, -1, 0, -2, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, -2, 1, 1, 1, 1, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 1, 1, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, -1, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, -1, 0, -1, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, -1, 2, 2, 2, 2, 1, 2, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 1, 0, -2, -1, -1, -2, -3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 1, 1, 1, -2, 0, 0, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 0, -2, -2, 1, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, -3, 0, -1, 1, -1, 0, 1, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 1, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, -2, 0, -1, -3, 0, -4, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, -2, -2, -1, -1, -2, 0, -2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, -3, 1, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, -1, 1, -1, -1, -2, -2, 1, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 2, -4, -1, -1, -3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -2, -2, 0, 1, 0, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 3, 0, -1, -1, 3, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 0, -1, -3, 0, 0, 2, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -1, 2, -2, -2, 0, -1, 1, -2, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 2, 0, -2, -3, -2, -3, -4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, -3, 3, 2, 6, 6, 2, 3, 2, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, -3, -1, -1, -1, -1, 0, -3, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, -3, -2, -2, -1, 0, -3, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -2, 4, 0, 2, 1, 1, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, -3, -3, -1, 2, 2, 2, 1, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -3, 0, -2, 2, -4, 0, -3, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, -1, 0, -1, 0, -2, 0, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 1, -2, 0, -3, -1, -1, -1, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, -2, 0, 0, -2, 0, -2, -3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, -1, 3, -3, -3, -3, -2, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, -6, -2, -5, -1, 1, -1, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 2, 2, 0, -1, -1, 1, 1, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -2, -3, 0, 1, 1, 0, 2, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 2, -1, -3, 3, -1, 1, -1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 5, 0, 1, -3, 5, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, -1, 0, 4, 4, -1, 0, -4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, -1, -1, -1, -4, 0, 0, 3, 2, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -2, 2, 0, 0, 0, -2, 2, -4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -1, -4, -1, 4, 4, 0, 3, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -6, -2, -2, 0, 1, 1, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}