# Stored data for newform 67.2.e.c, downloaded from the LMFDB on 18 April 2024. {"label": "67.2.e.c", "space_label": "67.2.e", "level": 67, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007474166202435, "dim": 20, "is_polredabs": true, "trace_hash": 472710731103521579, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [1, 6, 14, 7, 9, -12, -6, -3, 4, 2, 1]]], "qexp_display": "q+(-\\beta _{9}-\\beta _{14})q^{2}-\\beta _{19}q^{3}+(-1+\\cdots)q^{4}+\\cdots", "char_order": 11, "char_parity": 1, "char_degree": 10, "char_conductor": 67, "char_orbit_label": "e", "char_is_real": false, "Nk2": 268, "analytic_conductor": 0.5349976935425785, "hecke_ring_index": 1, "level_radical": 67, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [67, 11, [2], [2]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 2, "level_primes": [67], "conrey_indexes": [9, 14, 15, 22, 24, 25, 40, 59, 62, 64], "field_disc": 1378842969944253656737157810569, "field_disc_factorization": [[11, 18], [497993, 2]], "field_poly": [4489, 41004, 143215, 108234, 105828, -49131, -36976, -46933, 44155, 10813, -20998, 9361, 2696, -4316, 2921, -1282, 492, -148, 39, -7, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "19.345", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1188.887", "prec": 27}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "128433.351", "prec": 34}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c11", "trace_display": [-4, -4, 1, -8], "traces": [0, 20, -4, -4, -4, 1, 3, -8, -22, 10, -9, 0, 3, 12, 6, -11, 8, -4, -2, 4, 2, -53, 0, 2, 11, -3, -31, 47, -5, -6, 44, 0, 16, 1, -8, 34, 9, 24, -14, -22, -11, -6, 59, -22, -22, -46, 15, 16, 5, 42, -17, 22, 2, -1, -60, 20, 11, -52, 10, -26, 44, -26, 11, -42, -6, 9, 2, -22, -52, 62, -42, 20, 11, -55, 37, -70, -3, -70, 22, -34, 40, 42, -12, 56, -29, 41, -33, -10, 11, -3, 18, 12, -18, -69, 32, 74, -12, -14, 95, 81, 5, -15, 33, 50, 22, 84, -35, -15, 28, 22, -4, 48, 21, -8, 6, -51, 43, -13, 80, -26, -11, 12, -74, -47, -44, 31, -205, 51, -110, 83, -37, 81, -9, -96, 33, -106, 22, -73, 3, -30, -42, -88, -81, 42, -95, -23, 22, -47, 4, 53, -19, -2, 33, 52, 47, 39, 11, 74, 20, -14, 3, 95, 29, -48, 10, 23, 2, 24, 132, 24, -105, 70, 88, 4, 2, -75, 0, 4, 93, 28, 62, -38, 2, -7, -11, 10, -83, -47, -45, 56, 16, -21, -23, 20, 27, -90, -4, -96, -58, -3, -22, 85, -30, 12, -11, 40, -21, -75, 73, -16, 146, -71, 20, -34, 69, 21, -88, -10, -44, 32, -37, 41, 41, -54, -24, 89, 6, 5, 28, 23, -14, 18, 0, 69, -4, 67, 69, 139, -8, -160, -22, 29, 35, -21, -8, -89, -17, 52, -11, -72, 106, 0, -7, -41, 25, 107, -32, 42, 67, -3, -37, -17, 8, -5, -66, -135, -115, -160, -44, -166, -58, 61, 16, -81, 63, -64, 47, -96, 6, 65, -99, -19, -55, -85, 95, -115, 18, 105, 74, -64, 86, 70, -77, 44, -28, -99, -44, 132, -26, 4, -52, 97, 73, -85, 39, -22, 16, 52, 80, -59, 177, -36, 77, 27, -17, 158, 53, 13, 27, 35, 25, 140, -162, 23, 18, 69, 47, -50, 11, -17, -53, 97, -119, 12, -18, 138, -96, -72, -73, -78, 16, -14, 151, 121, 11, 36, -14, 6, 2, -33, -62, 15, 55, 5, -102, -60, 38, 49, -109, -45, 132, 176, 45, 112, 2, -20, 52, 10, -30, -209, -35, -33, 38, -12, 170, 13, -44, -78, -20, 80, -39, -34, 24, 52, -44, 16, -81, -119, 71, 63, -114, -126, -110, 16, 105, -67, -102, -19, -138, 82, 12, -18, -28, 50, 91, -137, -9, -132, -88, -4, -162, -1, -76, 134, 147, 54, 113, 128, -76, -174, -85, -17, 1, 45, -55, -78, 97, 211, 36, -10, -123, -138, 120, -105, -141, -75, -44, -30, -167, -54, 88, -19, -50, 137, -80, 106, 35, 123, -57, 74, 68, -68, -49, 56, -78, 127, -132, 168, -20, 17, 41, -48, -19, 148, -9, 239, -126, 79, 18, -142, 90, -1, 66, -82, -85, 29, 58, 122, 21, 85, 88, -100, 69, -58, 68, -35, 145, 124, 22, -92, 218, 135, 137, -62, -28, -14, 0, -108, 120, -10, 29, 50, -11, 19, 132, 167, 116, -104, -30, 127, -61, -84, 112, -6, -15, -81, -285, -10, 27, -163, -121, -8, -34, 45, -80, -104, 45, -57, -48, 20, 115, -97, 17, 194, 164, -382, 88, -104, 64, -109, -3, 109, 34, -84, 32, -43, 179, -96, -25, -185, -161, 2, -33, 37, -192, -33, -38, -117, 108, -188, -48, -26, 105, -38, 11, 238, 72, -152, -66, 6, -131, -82, 73, -86, 56, 141, 63, 20, -29, 24, -145, -107, -179, 131, 121, -81, 22, -36, 170, -18, 253, 101, -63, -189, -33, 185, 51, 71, -25, -15, -33, -148, 194, 98, -26, -105, 237, 114, 1, -2, 22, 144, -138, 41, -138, 229, 132, 42, -63, 108, 12, -69, -105, 10, 55, -7, -23, -12, -39, -7, -333, 30, 22, -60, -62, 10, 49, -89, -84, 77, -44, -156, -171, -55, 14, 28, -20, -49, -99, 67, 17, -153, 14, -1, 142, -29, -75, 51, -34, 101, 112, 29, 194, -47, 22, 6, -42, -109, -73, 446, -186, 166, 61, -64, 21, 186, 15, -32, -68, -140, -11, 98, -182, -149, -25, -138, -165, 60, 88, 85, -16, -45, 30, -118, -43, -75, -22, -17, 121, 98, 114, -166, -58, -92, 88, 78, -34, -38, 30, 147, -21, -25, -77, 79, 32, 101, 12, 2, 9, -40, 52, -66, 242, -77, -76, 105, 26, 194, -44, 202, 4, 26, -124, 282, 218, 67, 72, -36, 154, -16, 174, 17, 154, 277, 110, 55, 42, 161, -61, 272, -139, 48, -130, -27, 207, -141, -174, 21, -16, -28, 99, -79, -189, 112, 24, -171, -6, -286, 24, -43, -78, 178, 40, -186, -216, -94, -33, -211, 27, -187, -37, -52, 1, 64, -135, -168, -12, 184, -82, -155, -178, -48, -121, -99, -16, -375, 104, -11, 197, 73, -141, -51, 52, 252, -182, 278, -153, 43, -88, -175, 166, -249, 57, 144, 121, -204, -11, -129, 3, 312, 69, -148, -46, -43, -22, -99, -216, 70, -29, -57, -24, -119, -162, -216, 14, 127, -98, 55, -150, -65, -33, -198, -232, -60, -54, 259, 35, 37, -29, -28, -24, 163, 196, -98, -117, -25, 88, -82, 222, -21, 185, 322, 21, -127, -68, 285, 142, 25, 178, 75, 334, 39, 88, 66, 94, -32, 86, -123, -97, -10, 52, 206, -27, -202, 60, -87, 109, -15, 99, 176, 102, -41, 35, 40, -18, 75, 44, -195, -50, -17, -108, 210, -26, -46, -77, -42, -20, 34, -56, -46, -87, 105, -34, -41, -38, 45, 222, 105, -120, 16, -110, 200, 25, 226, -8, -63, 21, 71, -216, 189, -17, -122, -104, -237, 235, 102, 44, 8, -53, 474, -86, 92, -46, 110, -138, 147, 166, -135, -118, -31, 113, -66, 22, 68, -262, 203, 76, 51, 49, -146, -231, 104, -90, -191, -85, 209, 115, -6, -220, 31, -4, 123, 134, -113, -258, 90, 236, -80, -118, -286, -123, -112, 39, -42, 0, -274, -91, 2, 60, 161, 115, -174, -33, -93, 246, -191, -23, 149, 101, 52, 198], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": true, "level_is_prime_power": true, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 67, 5, 1, 11, 0]], "char_orbit_index": 5, "prim_orbit_index": 5, "minimal_twist": "67.2.e.c", "char_is_minimal": true, "conrey_index": 9, "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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1], [-1, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, 0, 0, -1, 1, -1, -1, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1, 0, 0, 1, 0, 0, 1], [0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, -1, 0, 0], [-2, 0, 0, 0, 0, 0, 1, -2, 3, 1, 2, -2, -1, -1, 2, -1, -1, 0, -1, -1], [-1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0], [2, 0, 0, 0, 0, 0, -1, 3, -3, -1, -2, 1, 1, 1, -2, 1, 0, 0, 1, 1], [0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1], [1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 1, 0, 1, 0, -1], [1, -1, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 1, -1, -1, 0, 0, 0, 0, 1], [2, 0, 0, 1, 0, 0, 0, 1, -3, 0, -2, 1, 0, 1, -2, 2, 2, 0, 0, 1], [0, -1, 0, -2, -1, -1, 0, 0, 1, 0, 0, -1, -1, 0, -1, 1, 0, -1, 1, -1], [-2, 0, 1, 1, -1, 0, 0, -5, 2, 2, 0, -5, 0, -2, 0, -2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0], [0, 0, -1, -1, 0, 0, 0, 1, 0, -2, 0, 1, -1, 0, 1, 2, 0, 1, 0, -1], [0, 1, 0, 2, 1, 1, 0, -1, -2, 1, 0, 1, 1, -1, 1, -2, 1, 1, -1, 1], [1, 0, 0, -1, 0, 1, -1, 2, -2, -1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0], [-1, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, 1, 0, 0, 0, 0, -1], [-4, -2, 1, 0, -2, 2, -2, -1, -1, 2, 2, -1, 2, -5, -1, -1, -3, -2, 1, 0], [-2, 1, 0, -1, -1, 0, 1, -1, 2, 1, 2, -2, 0, 0, 2, -2, -1, -1, 0, -1], [-1, 1, -1, 0, 1, -1, 0, 0, 0, 2, 0, 0, -1, -1, 0, 0, 0, 0, 0, 1], [-1, 1, -1, 0, 0, -2, 1, -1, 3, 0, 0, -2, -1, -1, 1, -1, -2, 1, -1, 1], [1, -1, 0, 0, 1, 0, 0, 2, 0, -1, 1, 2, 1, 0, -1, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 1, 0, -1, -2, 0, 2, -1, 3, -2, 1, 0, 1, 0, -1], [5, 0, 1, -1, 1, 0, 0, 2, -1, -2, -2, 2, -1, 5, -1, 3, 4, 0, 1, -1], [1, 0, 1, 1, 0, 0, -1, 1, -1, 0, -2, 0, 1, 1, -2, 0, 1, 0, 0, 1], [0, -1, 1, 0, 0, 0, 0, -1, 1, 0, 0, 1, 0, 1, 0, -2, -2, 0, 0, 0], [1, 0, 0, -1, 1, -1, 2, -3, 5, 0, 0, 0, -2, 2, 2, -2, -2, 0, -1, -1], [1, 0, 0, 1, 1, -1, 0, 1, -1, -2, -2, 2, 1, -3, -2, 0, 0, 0, -1, 2], [3, 0, 0, 0, 0, 0, 0, 4, -3, -4, -1, 1, 0, 0, -3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 2, 0, 0, 0, 0, 0, -1, 1, 0], [-1, 0, 2, 0, -2, 1, -1, -2, -1, 1, 0, -2, 2, -2, 0, -2, 0, -2, 2, 0], [1, 2, 0, 1, 1, 0, 2, 0, -1, 0, 2, -2, 0, 0, 4, -4, 3, 0, 0, 0], [-1, 0, -1, -1, 0, 0, 1, -2, 1, -1, 3, 1, -1, -1, 3, 0, -2, 0, 0, -1], [-1, 2, -2, 0, 1, -1, 1, -1, 2, 0, 0, -1, -1, 0, 1, -2, -2, 0, -1, 0], [-1, 1, -1, 0, 1, 1, -1, 2, -3, 1, 1, 1, 1, 0, -1, 0, 0, 0, 0, 1], [-3, 1, 0, -1, -1, 1, 0, -4, 1, 1, 2, 0, -1, 0, 3, -2, -3, 1, 1, -2], [0, -3, 2, -1, -1, 3, -3, 0, -2, 1, 2, -1, 1, -1, -2, 1, 0, -2, 2, -2], [-2, 2, -1, 0, 0, -2, 1, 2, 4, 0, 0, -3, -1, 0, 1, 1, -2, 1, -2, 1], [6, 0, 0, -1, 1, 1, -1, 4, -6, 0, -2, 6, 0, 5, -2, 6, 7, -1, -1, -1], [-1, 1, -2, 2, 0, -2, 3, -2, 1, -2, -1, 0, -1, 2, -2, -2, -1, 1, -1, 1], [0, -1, 1, 0, 1, -1, 0, -1, 0, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 1], [-2, -2, 0, -2, -2, 0, -2, 1, 2, -1, -1, 1, 0, 0, -5, 5, -4, 0, 0, 0], [4, -1, 1, 2, -1, 1, -1, 0, -3, -3, -2, 2, 1, 1, -3, 2, 3, 1, 1, 0], [0, -2, 1, -1, -1, 1, -1, 0, 1, 1, 2, -3, 1, -2, 2, -1, 0, -1, 0, -1], [-1, 0, 1, 2, -1, 0, 0, -4, 2, 1, 0, -4, 0, -4, 1, -4, -1, 2, -2, 0], [0, 0, -1, -1, 1, -2, 0, -3, 3, 5, -1, -1, -2, -3, 0, -3, -2, 1, -1, -1], [-1, 1, -3, -1, 0, 0, 0, 3, -1, -1, -1, 2, -1, 2, 0, 3, 1, 1, -1, -1], [0, 1, -1, 1, 1, 0, 1, 0, 2, 3, -1, 1, 0, 2, 2, 0, 2, -2, 0, 1], [-2, 0, 1, -1, -1, 1, -1, -1, 1, 2, 0, -1, 0, -2, 3, -2, -3, -1, 1, 0], [0, 0, 2, 0, -1, 1, 0, 0, -2, 3, 2, -1, 1, 0, 1, -4, 3, -1, 1, -1], [-4, -1, 0, 1, 0, -1, 0, -1, 3, -1, 2, -4, 1, -4, 0, -3, -6, 1, 0, 1], [1, 0, 0, -1, -1, 0, -1, -1, -3, 0, 0, -4, 0, 0, 1, 4, 1, 0, 1, -1], [3, 1, 0, 2, 0, 0, 0, 0, -4, -1, -3, 4, 2, -1, -1, 0, 1, 2, 2, 3], [-3, 2, 0, 2, 2, 0, 2, -3, 3, 3, 1, -1, 0, 0, 3, -3, 5, 2, 0, 2], [-2, 0, -1, 0, 0, -1, 1, 1, 6, 4, 2, -3, -1, -4, 5, 0, -3, 1, -1, -1], [-2, -3, 2, 0, 0, 1, -2, -3, -1, 2, 0, -4, 0, -1, -3, -2, -2, -3, 1, 0], [3, 0, 0, 0, 0, 0, -1, 4, -3, 1, -3, -2, 0, 2, 0, 1, -2, 0, 1, 0], [2, -2, 2, -2, 0, 2, 0, 1, -4, -4, -1, 4, 0, 2, -4, 4, 6, -2, 2, 0], [2, 1, -3, 1, 1, 0, 1, 0, -1, -2, -4, 3, -2, 3, -1, 5, 1, 3, -2, -1], [-1, -1, -1, 0, 0, 1, 0, 2, -3, -5, 9, 3, 1, 2, 0, 5, 1, 0, 1, 2], [3, 0, 0, 0, 0, 0, 0, 3, -5, -4, -5, 4, 0, 4, -4, 4, 0, 0, 0, 0], [2, -1, 1, 0, -1, -2, 1, 4, 1, -2, -2, 2, 1, -1, -1, -2, 2, -1, -1, 1], [1, -1, 1, 1, 0, 0, -1, 2, -3, 0, 0, -4, 1, -5, -1, 2, 2, 0, 0, 1], [-2, -1, -1, 0, -2, 1, -1, 0, -1, -1, 1, -1, 1, 1, 4, 0, -3, 0, 1, 0], [-2, 0, 0, 1, 2, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, -1, 1], [5, 0, -1, 0, 0, 0, 1, 0, -4, -2, -5, 1, -1, 6, -1, 0, 1, 1, -1, -1], [-2, 0, -1, -1, 2, -2, 1, -2, 1, -3, 0, 1, -1, 4, 0, -3, 0, 1, 0, 3], [-1, 2, 0, 1, 0, -1, 0, 3, 2, 3, 4, -3, -1, 3, 1, -4, -1, 0, -2, -1], [-1, -1, 0, -2, 0, 0, 0, 0, 4, 1, 2, -2, -2, 3, 0, 1, 1, -2, -2, -3], [0, -1, 2, 1, -1, 1, -1, 2, -1, 0, -4, 4, 1, -3, -1, 4, 1, 0, 2, 0], [2, -1, 1, 0, -1, 1, -2, -1, 0, 0, -2, 0, 1, -3, -2, 1, 0, -1, 2, 1], [-3, 2, -2, 1, 1, -1, 2, 2, -1, -3, 0, 5, 1, -1, 2, -4, 1, 2, -1, 2], [-1, 1, -1, 0, 1, -2, 1, -2, 2, 1, 1, -1, -1, 0, 2, 0, -1, 1, -1, -1], [-5, 1, 0, 1, 1, 0, 1, -1, 5, 1, 1, -1, 0, 0, 1, -1, -6, 1, -1, 1], [-1, 0, 3, -1, 0, 0, 0, 0, 4, 6, 1, -1, 2, -4, 4, -3, -2, -3, 2, 2], [-4, 0, 0, 0, -2, 2, -1, 1, 1, 0, 2, -4, 0, -2, -3, -3, -2, -2, 2, 0], [3, -1, 0, -2, -2, 3, -1, 1, -4, -1, 0, 4, 1, 3, -1, 3, 5, -3, 2, -2], [2, 2, 0, 1, 2, 0, 0, -1, -1, 4, -1, 1, 0, -1, 0, -3, 1, 2, -1, 0], [-2, 0, 0, 1, 0, 0, 0, -4, -3, 2, 0, -4, -1, -4, -1, -4, 1, 0, 0, 0], [4, 0, 0, -1, 2, 0, 2, 0, 0, -1, -1, 4, -1, 0, 5, 2, -1, 2, -1, -1], [-1, 1, 0, -2, 0, -1, 0, 1, 3, -1, -1, -1, -2, 5, -3, 2, 0, 2, -1, -1], [5, -1, 1, -3, 1, -1, 0, 1, -1, -2, 2, 1, -1, 1, -3, 6, 3, 1, 2, -2], [-6, 0, 2, 0, -2, -1, 1, -4, 8, 6, 0, -4, -1, -6, 6, -6, -6, -1, 1, 0], [0, -1, 2, 1, 1, -1, -1, -1, 1, 2, 2, 0, 2, -4, -1, -1, 0, -1, 0, 1], [-2, 3, -3, 0, 1, -3, 3, 0, 1, 2, 0, 0, -1, 1, 1, -2, -4, 1, -3, 2], [-4, 0, -1, 1, 1, -1, 0, -6, 4, 6, 3, -3, 0, 0, 6, -6, -4, 2, -3, 2], [0, 0, 2, 2, -2, 2, -2, 0, -3, 5, -1, -2, 2, -7, 0, -1, 0, -2, 0, -2], [-1, 1, -1, -1, 0, 3, -1, 0, 1, -3, 3, -1, 0, 2, 2, -1, 0, 0, -1, -3], [-2, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, 0, -2, 1, 0], [-1, 1, -4, 0, 0, 0, 0, 4, -7, -8, -2, 7, 0, 6, -5, 3, 2, 0, -1, 0], [2, 0, -1, -1, 0, 0, -1, 1, -2, -4, 2, 0, 0, 4, -2, 1, 3, -1, -1, -1], [2, -1, 0, -1, -1, -1, 0, -5, 3, -2, 1, -1, -1, -3, 0, 3, -6, -1, -1, -2], [-3, 4, -4, -2, 1, -1, 3, 1, 2, 0, 0, 3, -3, 6, 3, 0, 0, 0, -1, -2], [-1, -1, 1, 1, -3, 2, -3, -4, 1, 2, 2, 0, 3, -3, -3, -1, -1, 0, 3, 0], [9, -1, 1, 1, -3, 1, -1, 3, 1, -8, -3, 5, 1, 4, -4, 8, 4, -1, 1, -2], [6, -1, 1, 0, 0, 1, -1, 2, -6, -2, -1, 1, 0, 0, 0, 0, 6, -1, 0, -1], [1, 0, 1, -1, -1, -1, 1, 1, 2, -1, 0, 1, 1, -1, -1, -1, 1, 0, 0, 0]]}