# Stored data for newform 169.4.c.l, downloaded from the LMFDB on 19 April 2024. {"label": "169.4.c.l", "space_label": "169.4.c", "level": 169, "weight": 4, "hecke_orbit": 12, "hecke_orbit_code": 49539733407137961, "dim": 18, "is_polredabs": true, "trace_hash": 70881486532922022, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [118336, -503616, 4172208, 7769856, 35832012, -817290, 14351885, -2514618, 4613216, -861638, 596508, -82227, 48373, -6060, 2303, -200, 67, -5, 1]]], "qexp_display": "q+(\\beta _{1}-\\beta _{2}+\\beta _{3})q^{2}+(\\beta _{11}-\\beta _{14})q^{3}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 13, "char_orbit_label": "c", "char_is_real": false, "Nk2": 2704, "analytic_conductor": 9.971322790970163, "hecke_ring_index": 28561, "level_radical": 13, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [169, 3, [2], [2]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 2, "level_primes": [13], "conrey_indexes": [22, 146], "field_disc": -36573890858763248715004924851642330483, "field_disc_factorization": [[-1, 1], [3, 9], [7, 12], [366396820201, 2]], "field_poly": [16777216, -14680064, 32440320, -9093120, 28218112, -7349264, 13815033, -990441, 3391249, -318018, 490851, -21896, 39895, -2731, 2016, -106, 62, -4, 1], "hecke_ring_index_factorization": [[13, 4]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.062", "prec": 17}, {"__RealLiteral__": 0, "data": "15.780", "prec": 20}, {"__RealLiteral__": 0, "data": "13.805", "prec": 20}, {"__RealLiteral__": 0, "data": "1145.142", "prec": 27}, {"__RealLiteral__": 0, "data": "3247.750", "prec": 27}, {"__RealLiteral__": 0, "data": "167257.420", "prec": 34}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 9, "sato_tate_group": "3.2.3.c3", "trace_display": [5, -1, -60, 38], "traces": [0, 18, 5, -1, -37, -60, 48, 38, -120, -66, 147, 181, 78, 0, -294, 218, -269, 55, -158, 161, 370, -376, -340, 204, 798, 614, 0, -1336, 344, -280, -521, -1412, 680, 500, -432, -20, 909, 298, -1478, 0, 26, 1201, 4, 533, -710, -90, -840, -1912, 132, -403, -1156, 940, 0, -556, -2555, 250, -250, 1620, -2877, 1377, 6314, 136, -2035, -944, 568, 0, 6558, -931, 1536, 2050, 9708, 2046, -4342, 90, 1990, -2393, -3608, -1436, 0, 824, -787, 835, -2757, -7418, -1539, -2106, -250, 786, 636, 1663, -2560, 0, 8020, -1186, 2531, 1614, 6168, -1087, -282, -2714, -300, -1660, -4441, 7188, 0, -8636, -1888, -1975, 646, -4792, -289, 4842, 8082, 1815, 3336, 1846, -9572, 0, -5490, 5942, -1433, 886, -96, 412, 3100, -10764, -4009, -340, 6544, 4980, 0, -1642, 1973, -4240, -2507, -10488, 1988, 51, 5366, -10161, 6461, 4834, -1734, 0, -13912, 3780, -6411, 467, 1110, 5998, 2477, -6696, 8685, 5023, 3828, 664, 0, -10268, 543, 6064, -3159, -16716, 5496, 4237, -33766, -1724, 2558, 12362, 16504, 0, 16358, 8438, 2772, -6490, -272, 2826, 4536, 17018, -4986, -27, -1370, 1292, 0, 40, -1689, -13362, 1246, 11026, -1608, -10292, 19860, 4146, -4727, -15601, -16188, 0, -1440, -5650, 671, 8890, 886, -11223, -4311, -7916, -7720, -2814, 8034, -804, 0, 10516, -10718, 13991, 4425, 44312, -9442, 10868, 13556, 5674, -7350, -11117, 6750, 0, 828, -15166, 4654, -6894, -9612, 11549, -12751, 25180, 13799, -8764, -18234, -21166, 0, 13420, 18167, 5902, 12828, -24136, -11328, -15874, -22998, 4335, -6355, -14540, 17986, 0, 25756, -21622, 2461, -4069, -5202, -23906, 2839, 1612, 163, 1099, -19365, -12304, 0, 10656, 7498, 394, -1299, 50164, 11904, -475, 21692, 22180, -5224, 12960, -34578, 0, -29722, 3697, 14716, -15824, -34520, 3368, -13536, -222, -8157, 8659, 14059, 5124, 0, 36808, -16561, -5680, 17456, 23408, 19452, -13118, -5800, -14562, -27144, -5729, 82922, 0, -41318, -6486, -10578, 21182, 11768, -9142, 29744, 9242, -15503, 17046, 21218, -41616, 0, -1726, 21005, 2842, -9333, 4412, -4493, 10822, -45544, -5822, 6139, 772, -1286, 0, -26100, 26764, -32678, -29480, -40154, 1708, 36666, 75728, 12104, 16022, 25873, -3966, 0, 35662, -8162, -7108, -14513, 4084, 23256, -28392, -60180, -25488, 47021, -6098, 378, 0, -32940, -8653, -20002, 18636, -64280, -15822, 5764, -83448, -223, 13226, 47489, 65344, 0, -39116, 47612, 42406, 3864, -3096, 27284, 41702, -65810, 8210, -15354, 5668, -26530, 0, -41858, 3775, -503, -30490, -69828, 39096, 801, 56060, -15271, -6548, -7781, -28428, 0, 22976, 20100, -42548, 2694, -15096, 10739, -11558, 57340, -12184, 15647, 6083, -26016, 0, -14430, -31020, 10365, 4416, 65700, -18741, -32969, -44134, -5289, 6338, 4147, -5764, 0, -43940, -23924, -1462, 24153, 13668, -48676, 460, 71962, 43653, -27798, 7260, 70652, 0, 50030, 39278, 12585, 5871, 102970, -6924, 26604, 7264, 11888, -16616, -57785, -80352, 0, 6870, -15421, -1382, -6443, -48716, -46433, -21867, 27804, -6502, -34362, -33412, -10094, 0, 73222, -17220, -748, 39149, -36084, 20584, 6842, -9400, 4135, -42302, -37752, 122638, 0, -60016, -59985, 47940, 7688, 87596, 28254, 10453, 46898, -1264, 22257, 9060, -28136, 0, 55462, -46604, 28749, -17508, 29688, 7038, -78034, 9764, 20565, 19583, 9736, -33912, 0, 77880, 32441, 2520, -10898, -23278, -76726, -34366, -112726, 10660, -9191, -9594, -92406, 0, 111068, -502, 23008, -26594, 42838, -43310, -44650, 20124, 30103, -25842, -114862, -54316, 0, 28326, 665, -67363, 539, -18452, 76358, 41080, 90520, 9625, 59313, 30035, -8728, 0, 61322, 47148, 61248, -21150, 126134, 10669, 30941, -10284, -58526, -67134, 32679, 136368, 0, -23382, -125093, -29170, -13835, -147516, 55535, -8244, 164928, -34178, -64820, 11738, 65654, 0, -73454, 53431, 34664, 70630, 13266, 3598, -25787, -89228, 71756, 7141, 11155, -7926, 0, -97584, 5133, 9450, -15290, -13554, -156308, 65682, -118590, -16946, 45568, 1636, 16412, 0, -16918, 14435, -75485, 27836, 195374, 60992, 38245, 55782, 34521, 7622, 40735, -32748, 0, -57000, 45956, -7653, 21629, -76650, -10448, -17244, -72504, -28536, 73940, 16358, -113328, 0, -44994, -15556, -629, 21298, -125188, 37159, -24011, -79704, -74313, 28130, 52143, 99860, 0, -108710, -5801, 963, -47950, -68820, 29317, 45018, 155240, 2172, -20806, 40066, -24738, 0, -133036, 80172, -135730, -5585, -208506, 7493, -31866, -128492, -65061, 31078, 3151, 6104, 0, -29488, 136506, 26568, -75754, -76196, 98595, 47013, -10272, 34261, 64682, 52532, -127696, 0, 134026, -5320, 43117, 13390, 94372, -1148, 120483, -179464, 36057, 71899, -43212, 53160, 0, 50184, -27541, 54572, -56208, -54410, 41974, -24493, -114156, -23272, -38217, 56002, 90704, 0, 56550, 6063, -29714, 48582, -30724, 15350, 37292, -4436, 3752, 14085, 38255, 125080, 0, -95268, -63227, -23670, -64122, 69916, -28813, -22868, 282772, -33370, 1683, -21450, -67554, 0, -160588, -19386, -43356, -51304, 32992, -54704, 2489, 145952, -67051, -45838, 89334, -143232, 0, 55872, -64847, 20358, 32019, -73848, -39953, -33776, -160894, -8426, 34763, -67315, 196194, 0, 204058, 25524, -8930, 81426, 169736, -5992, -91533, 28848, 100592, -107480, -117113, -57264, 0, -44468, 29855, -42330, 136716, 96072, -30537, 80443, -205182, 27696, -32331, -95186, -9392, 0, 85940, 36353, 80914, 20186, 102718, -6846, -64974, 123748, -62309, -33360, 38636, 13754, 0, 114464, 36167, -20202, 16877, 89112, -18650, -102285, 221996, 77578, -28576, 58610, -69316, 0, -160046, -150104, 128669, -60438, 2042, 24336, -102694, 6698, 114530, 63624, -35816, 16128, 0, 52556, -154764, 20587, -45424, 105682, -37809, 10432, 8776, -24978, -96305, 8559, 90560, 0, 63040, -2166, 43841, -26174, -119314, -1252, 8271, 209234, 25385, 1448, -168686, -172252, 0, 153850, 64005, -32472, 35657, 167456, 52373, 121952, 33222, 44031, -126514, -180364, -45558, 0, 170360, -54318, 62271, -63388, -191280, -68496, 40120, -113504, -168450, -15422, -38514, -61426, 0, 186886, -23281, 18022, -28898, 68476, -66958, -98176, -149984, 94056, 51987, 38036, 183824, 0, -40268, -32161, -23488, -45838, -271304, -36642, -123963, -22424, 111858, -30141, 45531, -55574, 0, -4588, 136029, 38262, 118723, -13544, -9922, -172330, 104372, -30136, 48707, -16848, -257250, 0, -272622, -63690, -25667, -95268, -59766, -63116, 223839, 45084, -17417, 28119, -17804, 98164, 0, 11676, 21147, 17670, 219535, 283676, 91563, -40588, -65406, -19378, -34925, 35644, 76680, 0, -62222, 27552, -71402, -51040, 235332, 121243, 87530, 122914, 42904, 29220, 36712, -102896, 0, -70222, -49493, -28152, 108605, -37344, 50250, 92916, -150518, -143350, 117753, -106913, 7732, 0, -79568, 59966, 1569, 46493, -188608, -236018, 36367, 93228, 15921, 64656, 212887, -132282, 0, -216260, 51928, -8618, -23104, 37224, -115310, 28829, -72388, 158919, -125186, -7612, 445434, 0, -241906, 18907, -200037, -30086, 99212, 99022, -28244, 12596, -229297, 49904, 175934, 102576, 0, 160980, 56513, 33422, -234902, -137324, 127331, -111592, -31984, -109664, -35118, 166066, 11940], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": true, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 3, 1, 3, 0]], "char_orbit_index": 3, "prim_orbit_index": 3, "minimal_twist": "169.4.a.k", "char_is_minimal": false, "conrey_index": 22, "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], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -1, 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, 1, 0, 0, -1, 0, 0, 0], [-5, 0, 0, 5, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0], [-2, 0, -3, 0, 0, 1, 0, 1, 0, -1, 0, 1, 1, 0, 0, 0, 1, -1], [6, 1, 0, -6, 0, 0, 2, -1, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0], [4, 1, 0, -4, -2, 0, -2, 1, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0], [-9, 0, 4, 0, 0, 0, 0, -4, 0, 4, 0, 1, 1, 0, 0, 0, 0, -1], [-7, 1, 0, 7, -1, 0, 1, 3, -1, 0, 1, 0, 0, 0, -2, 0, 0, 0], [0, -6, 6, 16, 3, 3, 1, 0, -2, -2, -2, 1, 0, 2, -1, 2, 1, 1], [0, 2, -2, 21, 0, 0, -1, 0, 0, 2, -2, -2, 0, 2, 2, 0, -1, -3], [10, 0, -14, 0, 0, 3, 0, 3, 0, -3, 0, 2, 2, -3, 0, 0, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-10, 0, -9, 0, 0, 4, 0, 2, 0, -2, 0, 1, 3, 4, 0, 4, 4, -3], [0, 3, -3, 20, -4, -4, 1, 0, -1, 3, 9, -1, 0, -9, 1, 1, 1, -1], [0, -7, 7, -37, 5, 5, 2, 0, 0, 8, 7, -4, 0, -7, 4, 0, 2, -1], [7, 8, 0, -7, 5, 0, 7, -2, 5, 0, 7, 0, 1, 0, 2, 0, 0, 0], [-5, 0, 3, 0, 0, -5, 0, 6, 0, -6, 0, -2, -1, 9, 0, 2, -5, 1], [14, 4, 0, -14, 0, 0, -10, 0, 1, 0, 1, 0, 3, 0, 1, 0, 0, 0], [36, 15, 0, -36, 10, 0, 9, -6, -6, 0, 5, 0, -3, 0, 8, 0, 0, 0], [-24, 0, 4, 0, 0, -5, 0, -14, 0, 14, 0, -2, -10, -1, 0, -3, -2, 10], [-43, 15, 0, 43, 8, 0, -3, 3, 0, 0, 4, 0, -3, 0, 10, 0, 0, 0], [0, 8, -8, 22, -1, -1, -3, 0, 0, 0, 2, -6, 0, -2, 6, 0, -3, -14], [0, -3, 3, 94, -1, -1, 6, 0, -6, -5, -7, 11, 0, 7, -11, 6, 6, 9], [25, 0, 23, 0, 0, -4, 0, -3, 0, 3, 0, -9, -3, 1, 0, 7, -3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-83, 0, 29, 0, 0, -4, 0, 1, 0, -1, 0, -6, 6, 6, 0, 0, -19, -6], [0, 1, -1, 46, 25, 25, -5, 0, -8, -10, 0, 4, 0, 0, -4, 8, -5, -12], [0, 29, -29, -16, 6, 6, -8, 0, 0, -3, 6, 3, 0, -6, -3, 0, -8, 5], [-50, -22, 0, 50, -16, 0, -17, 34, 8, 0, -11, 0, 6, 0, -9, 0, 0, 0], [-82, 0, 21, 0, 0, 2, 0, 1, 0, -1, 0, -7, 1, 12, 0, 8, 4, -1], [89, -18, 0, -89, 7, 0, 12, 10, -10, 0, -1, 0, -18, 0, 17, 0, 0, 0], [59, -24, 0, -59, -4, 0, -5, -22, -5, 0, -3, 0, -2, 0, -23, 0, 0, 0], [-19, 0, -37, 0, 0, 25, 0, 23, 0, -23, 0, -10, 6, -29, 0, -10, 9, -6], [20, -40, 0, -20, -1, 0, -8, -12, 1, 0, 17, 0, -4, 0, -12, 0, 0, 0], [0, 31, -31, 115, -2, -2, -3, 0, 2, -16, 12, 12, 0, -12, -12, -2, -3, 12], [0, -28, 28, 12, -9, -9, -12, 0, 11, -14, 13, -16, 0, -13, 16, -11, -12, -4], [-90, 0, -4, 0, 0, 20, 0, 2, 0, -2, 0, 7, 8, -21, 0, 0, 18, -8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-8, 0, -18, 0, 0, -22, 0, 24, 0, -24, 0, 9, -16, -35, 0, -4, 15, 16], [0, 14, -14, 150, 2, 2, 7, 0, -2, -6, -12, 3, 0, 12, -3, 2, 7, 21], [0, -6, 6, -20, -25, -25, -2, 0, 10, 26, 19, -2, 0, -19, 2, -10, -2, 5], [70, -14, 0, -70, -25, 0, 11, -2, -5, 0, 5, 0, 21, 0, 3, 0, 0, 0], [-63, 0, 0, 0, 0, -11, 0, 15, 0, -15, 0, 7, 17, -29, 0, -16, 15, -17], [-26, 42, 0, 26, 13, 0, 11, -14, 10, 0, 20, 0, 8, 0, -42, 0, 0, 0], [-82, -39, 0, 82, 5, 0, -27, 26, 2, 0, -12, 0, -4, 0, 20, 0, 0, 0], [-92, 0, -25, 0, 0, -25, 0, -1, 0, 1, 0, 23, -7, 10, 0, -4, -5, 7], [-6, 42, 0, 6, 10, 0, 37, -33, 2, 0, 3, 0, 23, 0, -9, 0, 0, 0], [0, -25, 25, -55, -39, -39, 6, 0, -7, 41, -19, -5, 0, 19, 5, 7, 6, 27], [0, 53, -53, -113, 26, 26, 5, 0, 8, 2, 11, -9, 0, -11, 9, -8, 5, -22], [49, 0, 44, 0, 0, -8, 0, -4, 0, 4, 0, 11, 24, 40, 0, -8, -30, -24], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-18, 0, -18, 0, 0, 36, 0, 12, 0, -12, 0, 12, 6, 13, 0, -3, 43, -6], [0, -49, 49, -325, -10, -10, -5, 0, 8, -8, 18, -32, 0, -18, 32, -8, -5, -26], [0, 37, -37, 50, 38, 38, 37, 0, -7, -83, 7, 19, 0, -7, -19, 7, 37, -19], [-30, 4, 0, 30, 55, 0, 18, -4, -18, 0, 1, 0, -35, 0, 36, 0, 0, 0], [113, 0, -34, 0, 0, -4, 0, -40, 0, 40, 0, 43, -21, -1, 0, 1, -18, 21], [-346, -25, 0, 346, -16, 0, -28, 4, -12, 0, -60, 0, 25, 0, -3, 0, 0, 0], [158, 49, 0, -158, 8, 0, 34, 1, 22, 0, 22, 0, -13, 0, 30, 0, 0, 0], [354, 0, 85, 0, 0, 7, 0, 4, 0, -4, 0, 23, -2, 51, 0, 40, -20, 2], [-4, -6, 0, 4, 17, 0, -18, 52, -13, 0, -51, 0, -18, 0, 16, 0, 0, 0], [0, -27, 27, -248, 72, 72, 34, 0, -4, -38, 32, -17, 0, -32, 17, 4, 34, -33], [0, 27, -27, -86, -34, -34, 17, 0, -13, 15, -15, 27, 0, 15, -27, 13, 17, 33], [49, 0, -71, 0, 0, -66, 0, -22, 0, 22, 0, 9, -62, -27, 0, -14, -15, 62], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [381, 0, -7, 0, 0, 2, 0, -79, 0, 79, 0, -39, -1, 33, 0, 8, -43, 1], [0, 45, -45, -102, -37, -37, 22, 0, 31, 57, -9, 28, 0, 9, -28, -31, 22, 3], [0, -76, 76, 185, -26, -26, -4, 0, -10, 51, -115, 4, 0, 115, -4, 10, -4, 22], [212, 15, 0, -212, 15, 0, -27, -101, -6, 0, 10, 0, -57, 0, -39, 0, 0, 0], [576, 0, -26, 0, 0, 57, 0, 20, 0, -20, 0, -30, -29, 3, 0, 2, -24, 29], [264, -11, 0, -264, -27, 0, 26, -11, 23, 0, 27, 0, 17, 0, 71, 0, 0, 0], [-543, 117, 0, 543, -29, 0, -4, 30, 20, 0, -4, 0, 57, 0, -67, 0, 0, 0], [-52, 0, 85, 0, 0, -45, 0, -5, 0, 5, 0, -50, 39, 19, 0, -15, -2, -39], [232, -44, 0, -232, -121, 0, -72, 42, 18, 0, -57, 0, 11, 0, -4, 0, 0, 0], [0, 15, -15, -226, 18, 18, -34, 0, 36, 3, -64, 36, 0, 64, -36, -36, -34, -11], [0, -120, 120, -434, 22, 22, -35, 0, -32, 60, -22, 12, 0, 22, -12, 32, -35, -18], [-32, 0, -40, 0, 0, 31, 0, 50, 0, -50, 0, -24, -22, 65, 0, 15, 76, 22], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [44, 0, -5, 0, 0, 3, 0, -77, 0, 77, 0, 3, -9, -5, 0, -21, -38, 9], [0, -17, 17, -56, -79, -79, -20, 0, -4, -12, -57, 57, 0, 57, -57, 4, -20, 82], [0, -124, 124, 62, -27, -27, -81, 0, -32, 8, -72, -85, 0, 72, 85, 32, -81, -74], [-438, 237, 0, 438, 18, 0, 11, -74, -4, 0, -12, 0, 35, 0, -23, 0, 0, 0], [-444, 0, -21, 0, 0, -10, 0, -85, 0, 85, 0, -88, 16, -25, 0, -13, 10, -16], [-100, -84, 0, 100, -79, 0, -37, 4, 26, 0, 26, 0, -47, 0, -35, 0, 0, 0], [-182, -167, 0, 182, -90, 0, 24, 65, -38, 0, -88, 0, 43, 0, 21, 0, 0, 0], [14, 0, -67, 0, 0, 47, 0, -12, 0, 12, 0, -61, 54, 9, 0, 50, 33, -54], [132, 30, 0, -132, -3, 0, 88, -38, 11, 0, 71, 0, -18, 0, 36, 0, 0, 0], [0, -127, 127, -3, -79, -79, -77, 0, 22, 107, 1, -20, 0, -1, 20, -22, -77, 12], [0, 42, -42, 210, 18, 18, 13, 0, 29, 44, -17, -9, 0, 17, 9, -29, 13, 46], [-158, 0, -5, 0, 0, 75, 0, -8, 0, 8, 0, -82, 48, -36, 0, -26, -35, -48], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [418, 0, 96, 0, 0, -35, 0, 42, 0, -42, 0, 46, 35, 31, 0, -10, -42, -35], [0, -86, 86, -150, -35, -35, -82, 0, 27, 68, -67, -96, 0, 67, 96, -27, -82, 18], [0, -92, 92, 226, -61, -61, -27, 0, 50, -54, 56, 39, 0, -56, -39, -50, -27, 85], [206, -140, 0, -206, -16, 0, -37, -4, -55, 0, -37, 0, 14, 0, 12, 0, 0, 0], [298, 0, 38, 0, 0, 7, 0, -47, 0, 47, 0, -7, 8, -36, 0, 28, 53, -8], [-157, 96, 0, 157, 87, 0, -8, 68, 6, 0, 20, 0, -17, 0, 54, 0, 0, 0], [33, 26, 0, -33, 15, 0, 10, -4, 78, 0, 153, 0, 32, 0, -7, 0, 0, 0], [-121, 0, -50, 0, 0, 20, 0, 70, 0, -70, 0, 38, -18, 14, 0, 14, 100, 18], [-47, -51, 0, 47, 51, 0, -7, 52, 4, 0, -80, 0, -39, 0, -29, 0, 0, 0]]}