# Stored data for newform 273.2.j.c, downloaded from the LMFDB on 23 April 2024. {"label": "273.2.j.c", "space_label": "273.2.j", "level": 273, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007817763586321, "dim": 20, "is_polredabs": true, "trace_hash": 1824014744690694873, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [1369, -2997, 16588, 16327, 68867, 25533, 74141, 18801, 54235, 8506, 23428, 2645, 7324, 526, 1458, 59, 211, 4, 18, 0, 1]]], "qexp_display": "q+(\\beta _{1}+\\beta _{4})q^{2}+q^{3}+(-\\beta _{2}-2\\beta _{7}+\\cdots)q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 91, "char_orbit_label": "j", "char_is_real": false, "Nk2": 1092, "analytic_conductor": 2.1799159751809545, "hecke_ring_index": 1, "level_radical": 273, "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": "0.006", "prec": 17}, "analytic_rank_proved": true, "char_values": [273, 3, [92, 157, 106], [3, 1, 2]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 2, "level_primes": [3, 7, 13], "conrey_indexes": [100, 172], "field_disc": 204333524299657682659154393341408397376, "field_disc_factorization": [[2, 6], [3, 16], [7, 2], [1223, 2], [31811583743, 2]], "field_poly": [1369, 2997, 16588, -16327, 68867, -25533, 74141, -18801, 54235, -8506, 23428, -2645, 7324, -526, 1458, -59, 211, -4, 18, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.026", "prec": 17}, {"__RealLiteral__": 0, "data": "17.452", "prec": 20}, {"__RealLiteral__": 0, "data": "12.242", "prec": 20}, {"__RealLiteral__": 0, "data": "1276.290", "prec": 27}, {"__RealLiteral__": 0, "data": "1473.094", "prec": 27}, {"__RealLiteral__": 0, "data": "174386.562", "prec": 34}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 10, "sato_tate_group": "1.2.3.c3", "trace_display": [0, 20, 0, -9], "traces": [0, 20, 0, 20, -16, 0, 0, -9, -12, 20, 8, 16, -16, -5, -9, 0, -20, 0, 0, -14, 12, -9, -9, -14, -12, -32, 4, 20, 13, -9, 8, -9, 17, 16, 12, 10, -16, 18, 22, -5, -9, -1, -9, -11, 8, 0, -10, 13, -20, -21, 5, 0, -2, -6, 0, -19, -5, -14, 0, -15, 12, 0, 22, -9, 72, -27, -9, 44, 39, -14, 30, -11, -12, 0, -3, -32, 6, 56, 4, -36, -96, 20, 26, 40, 13, -16, 4, -9, 24, 2, 8, 9, 66, -9, 88, -36, 17, 21, -79, 16, 172, 14, 12, -61, -60, 10, -26, -53, -16, 5, -106, 18, -32, -14, 22, -2, -73, -5, 64, 78, -9, -24, -124, -1, 124, 18, -9, -28, 48, -11, -84, -1, 8, -4, 52, 0, -16, -23, -10, -67, -105, 13, -24, -12, -20, 10, 8, -21, -126, -18, 5, -6, -102, 0, -54, 60, -2, 21, 226, -6, -60, 0, 0, -18, 106, -19, -65, 21, -5, 59, -87, -14, 0, -52, 0, 97, -8, -15, -29, 62, 12, -60, 139, 0, -121, 40, 22, 45, 41, -9, 36, 146, 72, -30, 33, -27, -3, -77, -9, -17, 160, 44, 88, -40, 39, 3, 30, -14, -17, -74, 30, 15, 102, -11, 14, 248, -12, -20, 76, 0, 52, -32, -3, -44, 81, -32, 39, 11, 6, 2, -117, 56, -2, 1, 4, -45, -50, -36, -62, -62, -96, -9, -143, 20, 52, -54, 26, -59, 45, 40, -73, 7, 13, 17, -68, -16, -4, -9, 4, -9, -125, -9, -52, 8, 24, 72, -37, 2, -21, 46, 8, 18, -94, 9, -30, -14, 66, -24, -25, -9, -181, -50, 88, 18, -294, -36, -50, -70, 17, -34, 66, 21, 52, -19, -79, 55, 7, 16, -80, 86, 172, 103, 47, 14, -119, 21, 12, 58, -53, -61, 134, 66, -60, 17, -127, 10, -11, 48, -26, 1, 85, -53, -10, -29, -16, -26, -46, 5, -162, 9, -106, -16, -82, 18, -58, 42, -32, 174, 57, -14, 388, 9, 22, 72, -8, -2, 46, -25, -73, 74, 98, -5, -149, 4, 64, 64, 8, 78, 26, -89, -9, -22, 67, -24, 275, 162, -124, 64, -101, -1, -96, -71, 124, 226, -164, 18, -22, 40, -9, 45, -120, -28, 110, -314, 48, -207, 43, -11, -72, -8, -84, 194, 252, -1, 104, -32, 8, 26, 222, -4, -18, 77, 52, 25, 27, 0, 87, -57, -16, 7, 30, -23, -180, -102, -10, -17, -4, -67, 84, 47, -105, -314, -10, 13, -68, -238, -24, -56, 132, -12, 71, 56, -20, 32, 90, 10, -170, 6, 8, -77, 211, -21, -159, -77, -126, 112, -136, -18, 157, -34, 5, 4, 48, -6, -32, -10, -102, -69, -142, 0, 5, 37, -54, 274, 418, 60, -128, -2, -2, 23, -151, 21, 27, 58, 226, 109, -83, -6, 57, -94, -60, 98, 100, 0, 11, 188, 0, -12, 342, -18, -113, -33, 106, -24, 203, -19, -121, 39, -65, -67, 148, 21, 27, -47, -5, 4, -43, 59, -209, -40, -87, -67, 12, -14, -82, -162, 0, 44, 50, -52, 79, 36, 0, -34, -42, 97, 67, -194, -8, -70, 93, -15, 12, -27, -29, -222, -122, 62, 110, 23, 12, -88, 7, -60, -67, -148, 139, -120, -170, 0, -23, -31, -121, -50, -284, 40, 136, 20, 22, -123, -264, 45, -46, 58, 41, 18, 81, -9, -94, -22, 36, -14, 112, 146, 51, 73, 72, 52, 51, -30, 142, -150, 33, -47, 64, -27, 74, -224, -3, -136, -11, -77, 112, 77, -9, -9, 35, -17, 52, 47, 160, -50, -39, 44, -222, -182, 88, -6, 93, -40, -224, 34, 39, 60, 76, 3, 166, 49, 30, 30, -106, -14, 24, -77, -17, -46, 98, -74, -50, -90, 30, 28, -110, 15, -90, 57, 102, 6, 190, -11, 126, -14, 14, -66, 151, 248, 416, 26, -12, -84, -328, -20, -14, -190, 76, 26, -418, 0, -153, -17, 52, 64, 2, -32, 474, 347, -3, 296, -148, -44, -292, 28, 81, -108, 113, -32, 20, 10, 39, -76, 195, 11, 95, 72, 6, -61, -95, 2, 36, -91, -117, 14, 24, 56, 200, 282, -2, 8, -198, 1, -182, 158, 4, 35, 286, -45, -114, 71, -50, -104, 266, -36, -55, 134, -62, 20, -313, -62, 322, -76, -96, 108, -17, -9, 52, -14, -143, 190, 65, 20, -421, 40, 52, -27, 213, -54, 142, 268, 26, -32, 158, -59, -293, -26, 45, -97, 31, 40, 135, 20, -73, 31, -38, 7, -310, 72, 13, -78, 132, 17, -100, 396, -68, 112, 156, -16, 64, 319, -4, -63, 213, -9, 66, 77, 4, 41, -236, -9, 95, 26, -125, -99, 32, -9, 109, 8, -52, -2, -222, 8, -25, 17, 24, -35, 54, 72, -11, -34, -37, -41, -658, 2, -167, 103, -21, -204, -82, 46, -592, -182, 8, -306, -453, 18, -61, 18, -94, -125, 30, 9, 40, -127, -30, -15, -97, -14, 134, -64, 66, 420, -508, -24, -272, -154, -25, 68, 105, -9, 564, -22, -181, -9, 54, -50, 86, 141, 88, 164, -22, 18, -126, 103, -294, -102, -110, -36, 333, -70, -50, 60, -397, -70, 63, 62, 17, 207, 45, -34, 32, 0, 66, -80, 133, 21, -126, 295, 52, -18, -144, -19, -118, 44, -79, -124, 74, 55, 216, 99, 7, 234, -7, 16, 65, -123, -80, -4, -96, 86, -174, -48, 172, 22, -164, 103, 111, -256, 47, -100, 37, 14, 461, -30, -119, -166, -76, 21, -137, 297, 12, 90, -136, 58, 141, -220, -53, 7, -151, -61, 35, -134, 134, -209, -78, 66, 286, 119, -60, 276, 42, 17, 48, 133, -127, 212, 882, 10, 230, 6, -11, 117, 258, 48, -84, -48, -26, -69, 95, 1, -200, -150, 85, -17, 96, -53, 269, 124, -10, -124, 322, -29, 71, -136, -16, -173, -502, -26, 58, -58, -46, -112, 23, 5, -52, -34, -162, 22, 146, 9, -35, -87, -106, -152, -192, -16, -258, 65, -82, 79, -148, 18, 496], "weight_parity": 1, "has_non_self_twist": 1, "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], [1, 1, 91, 7, 1, 3, 0]], "char_orbit_index": 10, "prim_orbit_index": 7, "minimal_twist": "273.2.j.c", "char_is_minimal": true, "conrey_index": 100, "id": null, "nf_label": 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, 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], [1, 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, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 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, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, -2, 0, 0, 0, -1, -1, 2, 0, -1, -1, 0, 0, 0, 1, 1, 1, -1], [1, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0], [0, 0, -1, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0], [-1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, -1, 0, -1, 1, -1, 0], [-2, -1, 0, 1, 0, 0, -1, 1, 2, 0, 0, 2, 1, 0, 0, 0, -1, 1, -1, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0, 1, 1, 0, -1, 1, 1, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0], [0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0], [4, 0, -1, -1, 0, 0, 0, -3, -2, -1, 2, -2, -3, 0, 0, 0, 1, -2, 1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 0, 0, 0, 0, 0, 2, 2, 0, -1, 2, 2, 0, 0, 0, -1, 1, -2, 0], [-3, 0, 0, 0, 0, 0, -1, 3, 0, 0, 0, 0, 0, -1, 0, 0, 1, -2, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0], [-3, 0, 0, 0, 0, 0, 1, 3, -1, 0, 0, 0, 0, 1, 1, -1, 1, 0, 1, 0], [-1, 0, 2, 1, -1, -1, 1, 1, 0, 1, 0, 0, 1, 0, 0, -1, 0, 1, 1, 1], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 2, 2, 0, -1, 0, -1, 2, 2, 0, 0, 2, 1, 0, 0, -1, 2, 1, 2], [0, 0, -1, -1, 0, 0, 0, -2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 1], [3, 0, 0, -2, 0, 0, 0, -1, -1, 2, 0, -1, -1, 0, 0, 0, 1, 1, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 1, 0, 2, 0, 0], [0, -1, 2, 0, 0, 0, 1, 1, -1, 1, 0, -2, 1, 0, -1, -1, 2, 0, 1, 0], [1, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0], [2, 0, 0, -2, 0, -2, 1, -1, -1, 0, 0, -2, 0, -1, 0, -1, 1, -1, 0, -1], [0, 0, 2, 0, 0, -1, 0, 0, 1, 1, 1, 0, 1, -2, 0, 0, 0, 1, 0, 1], [0, 0, -1, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, -1, 2, 1, 0, 1, 2, 0, 0, 0, -2, 2, -1, 2], [0, -1, 1, 1, -1, 0, -1, -1, 1, 1, 0, -1, 0, -1, 0, 0, -1, -1, 0, 2], [-1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, -1, 0, -1, 1, -1, 0], [0, 0, -2, 2, 0, -1, -1, 0, 2, -2, 1, 4, -2, 1, 1, 0, -2, 0, -2, -2], [0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, -1, 0, -1, -1, 1, 0, 0, 0], [-2, -1, 0, 1, 0, 0, -1, 1, 2, 0, 0, 2, 1, 0, 0, 0, -1, 1, -1, 0], [1, 0, -1, -1, 0, 0, 0, 0, -3, -1, 2, -1, -2, 0, 0, 0, 2, -2, 2, -2], [0, 0, 1, -1, 0, -1, 1, -1, 0, 3, 1, -3, 0, 0, -1, -1, 1, 0, 3, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -2, -2, 0, 0, 2, 0, -3, 0, 0, -2, -1, 0, 1, 0, -1, -2, 0, 1, 0], [0, -2, 0, 1, 0, 1, -1, 2, 0, -1, -1, 1, 0, 1, 1, 0, 0, 0, -1, -1], [-3, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0, 1, 1, 0, -1, 1, 1, 0, -1, 0], [0, 0, 0, 0, -2, 0, -1, -1, -1, -2, 0, 0, 1, 0, 0, 1, 0, 0, -1, -1], [0, -3, 1, -1, 0, 0, 1, 2, 0, 0, 0, 1, 0, -2, -1, 1, 1, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0], [-3, 2, 2, 0, 2, 1, -1, 6, -1, 1, -1, 0, 1, -1, 0, 1, 1, -1, -1, 2], [0, 0, -1, -1, 0, 0, 0, 1, -1, -1, 0, 0, -1, 0, 1, -1, 2, -2, 0, -2], [0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, -2, 1, 1, 0, -1, -1, -1, 0, 1, 2, 0, 2, 0], [-4, 1, 2, 1, -1, 2, 0, 5, 0, 1, -2, 1, 1, 0, 1, 0, 1, -1, 0, 3], [-1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0], [4, 0, -1, -2, -2, 1, 0, -1, -3, -1, 0, -2, -2, 2, 2, 2, 1, -2, 0, -1], [0, -2, 1, 0, 0, 0, -2, -2, 0, 1, 0, -2, 0, 2, 2, 0, 1, 0, 2, 0], [4, 0, -1, -1, 0, 0, 0, -3, -2, -1, 2, -2, -3, 0, 0, 0, 1, -2, 1, -2], [-1, 0, -1, 0, -4, 0, 1, 0, 0, -1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0], [0, -2, 0, 1, 0, -2, 1, 2, -1, -3, 2, 1, 1, 0, -1, -1, 0, 0, -2, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0], [7, 0, -1, -2, 2, 1, 0, -1, -4, -2, 0, -2, -3, 0, 0, 0, 1, -3, 0, -1], [-1, 2, -1, 1, 2, 1, -1, -3, -1, -2, 0, -1, 0, 0, 0, 1, -1, 0, 2, 0], [-2, 0, 0, 0, 0, 0, 0, 2, 2, 0, -1, 2, 2, 0, 0, 0, -1, 1, -2, 0], [2, 0, -2, 0, 2, 1, 0, 0, -1, -2, 0, 1, -2, 0, 0, 0, 0, -2, 1, 0], [5, 0, 0, 0, 0, 0, 0, -5, -2, 0, 2, -3, -3, 0, 1, -1, 1, -2, 2, 0], [-3, 0, 0, 0, 0, 0, -1, 3, 0, 0, 0, 0, 0, -1, 0, 0, 1, -2, 0, 0], [1, 2, -2, 1, 2, 1, -3, -4, -1, -2, 0, -3, 0, -1, 0, 0, -2, -2, 0, 1], [2, 0, -1, -1, 0, 0, 0, -1, -1, -1, 0, 0, -1, 0, 0, 0, -2, 0, 0, -2], [0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0], [-3, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, -1, 0, 0, 0, 0, 1, -3, 0, 2], [0, 3, 1, -1, 0, 1, -1, 0, -1, 1, -1, -2, 1, 0, 1, 1, 1, 0, 1, 1], [-3, 0, 0, 0, 0, 0, 1, 3, -1, 0, 0, 0, 0, 1, 1, -1, 1, 0, 1, 0], [0, 2, -2, 0, 0, 2, -1, 1, 0, -1, -2, 1, 0, 0, 1, 1, -2, 0, -1, 0], [4, 0, 1, 0, -2, 0, 0, 0, 1, 1, -1, 1, 0, 0, -1, 1, -1, 2, -1, 0], [-1, 0, 2, 1, -1, -1, 1, 1, 0, 1, 0, 0, 1, 0, 0, -1, 0, 1, 1, 1], [0, -4, 0, 0, 0, 1, -1, -3, 1, 0, -1, 1, -1, 1, 1, 0, 0, 0, 0, 0], [-14, 0, 1, 6, 0, 0, -2, 3, 8, 0, 0, 6, 5, 1, -1, 1, -3, 3, 0, 3], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 3, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, -2, -2, -2, -1, 2, 0, 1], [0, 0, 3, 2, -2, -1, 0, 1, 2, -1, 0, -1, 4, 1, 1, 1, -1, 0, -3, 1], [-1, 0, 2, 2, 0, -1, 0, -1, 2, 2, 0, 0, 2, 1, 0, 0, -1, 2, 1, 2], [-1, 4, 0, 0, 4, 0, 2, 1, -1, 0, -1, -1, -1, 2, 0, 0, 3, -1, 1, 0], [0, -1, -3, 2, 0, -1, 1, 0, 0, -7, 1, 4, 0, -1, -1, 0, -3, 0, -4, -2], [0, 0, -1, -1, 0, 0, 0, -2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 1], [4, 0, 1, 0, 0, 2, 1, 0, -3, -3, 0, -1, -2, 1, 2, 1, 0, -3, -1, 0], [-1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, -1, 0, 0, -1, 0], [3, 0, 0, -2, 0, 0, 0, -1, -1, 2, 0, -1, -1, 0, 0, 0, 1, 1, 1, -1], [1, -2, 1, -1, 0, -1, -1, 1, -1, 3, 1, -2, 0, 1, 1, 1, 3, 2, 2, 0], [10, 0, 0, -4, -4, 0, 1, -2, -4, -1, 0, -1, -5, 1, 2, 1, 2, -3, 3, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 1, 0, 2, 0, 0], [4, 0, 2, 0, 2, -2, 0, 0, 3, 3, 0, 2, 1, 0, 0, 0, 0, 3, 2, 0], [0, 0, -1, -1, 0, -2, 1, -2, -1, 2, 2, 1, 1, -1, -1, 0, -1, 0, -2, 1], [0, -1, 2, 0, 0, 0, 1, 1, -1, 1, 0, -2, 1, 0, -1, -1, 2, 0, 1, 0], [0, -2, 0, 0, -2, 0, -2, 0, 1, 0, 1, 1, 1, -2, 0, 0, 0, 0, -1, 0], [-8, 0, -1, -1, -1, -3, 1, 7, -1, 0, 1, -2, 0, 0, 0, -1, 3, -1, 1, -1], [1, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0], [9, 0, 2, -2, 2, 1, 1, -1, 0, 1, 0, -2, 1, -3, -2, -3, 1, 0, 0, -1]]}