# Stored data for newform 1872.4.a.d, downloaded from the LMFDB on 01 November 2024. {"Nk2": 29952, "analytic_conductor": 110.45157553074642, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, -1], [13, -1]], "atkin_lehner_string": "---", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [1872, 1, [703, 469, 209, 145], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[5, [10, 1]], [7, [-8, 1]]], "hecke_orbit": 4, "hecke_orbit_code": 13510798949222224, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "1872.4.a.d", "level": 1872, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 13], "level_radical": 78, "minimal_twist": "78.4.a.c", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-10q^{5}+8q^{7}+40q^{11}+13q^{13}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1872.4.a", "trace_display": [0, 0, -10, 8], "trace_hash": 393568070652660374, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.976", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.893", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.574", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.003", "prec": 17}, "traces": [0, 1, 0, 0, 0, -10, 0, 8, 0, 0, 0, 40, 0, 13, 0, 0, 0, -130, 0, 20, 0, 0, 0, 0, 0, -25, 0, 0, 0, 18, 0, 184, 0, 0, 0, -80, 0, -74, 0, 0, 0, 362, 0, -76, 0, 0, 0, -452, 0, -279, 0, 0, 0, -382, 0, -400, 0, 0, 0, 464, 0, 358, 0, 0, 0, -130, 0, 700, 0, 0, 0, -748, 0, 1058, 0, 0, 0, 320, 0, 976, 0, 0, 0, -1008, 0, 1300, 0, 0, 0, 386, 0, 104, 0, 0, 0, -200, 0, -614, 0, 0, 0, -518, 0, -112, 0, 0, 0, -372, 0, 934, 0, 0, 0, -1914, 0, 0, 0, 0, 0, -1040, 0, 269, 0, 0, 0, 1500, 0, -1296, 0, 0, 0, -892, 0, 160, 0, 0, 0, -2326, 0, -1932, 0, 0, 0, 520, 0, -180, 0, 0, 0, -882, 0, 1776, 0, 0, 0, -1840, 0, -2410, 0, 0, 0, 0, 0, -3212, 0, 0, 0, 1668, 0, 169, 0, 0, 0, -3598, 0, -200, 0, 0, 0, 1068, 0, -4786, 0, 0, 0, 740, 0, -5200, 0, 0, 0, -1312, 0, -350, 0, 0, 0, 342, 0, 3368, 0, 0, 0, 144, 0, -3620, 0, 0, 0, 800, 0, 2004, 0, 0, 0, 760, 0, 1472, 0, 0, 0, -1690, 0, 5608, 0, 0, 0, -1928, 0, -3938, 0, 0, 0, -2562, 0, 4520, 0, 0, 0, 7164, 0, -6182, 0, 0, 0, 2790, 0, 260, 0, 0, 0, -1396, 0, 0, 0, 0, 0, -6906, 0, -592, 0, 0, 0, -6848, 0, 3820, 0, 0, 0, 6034, 0, -4832, 0, 0, 0, -1000, 0, -4082, 0, 0, 0, -3350, 0, -7796, 0, 0, 0, 2896, 0, 11987, 0, 0, 0, -3922, 0, -4640, 0, 0, 0, 0, 0, -608, 0, 0, 0, -3580, 0, -5956, 0, 0, 0, 2352, 0, 8442, 0, 0, 0, 5550, 0, 720, 0, 0, 0, -2600, 0, -325, 0, 0, 0, -3616, 0, -140, 0, 0, 0, -7000, 0, -6174, 0, 0, 0, 7360, 0, -4976, 0, 0, 0, -2988, 0, -162, 0, 0, 0, 10754, 0, 7480, 0, 0, 0, 3588, 0, -6459, 0, 0, 0, -10580, 0, -11272, 0, 0, 0, -3056, 0, -10914, 0, 0, 0, 234, 0, -8100, 0, 0, 0, 6180, 0, -3200, 0, 0, 0, 7522, 0, 0, 0, 0, 0, -9760, 0, 6078, 0, 0, 0, -1830, 0, 2392, 0, 0, 0, -2960, 0, 12434, 0, 0, 0, 3712, 0, 10080, 0, 0, 0, -14188, 0, 8638, 0, 0, 0, 3250, 0, 2864, 0, 0, 0, 4292, 0, -5982, 0, 0, 0, 0, 0, -256, 0, 0, 0, 12556, 0, -3860, 0, 0, 0, -5574, 0, 14480, 0, 0, 0, -1040, 0, 1266, 0, 0, 0, -7554, 0, 6752, 0, 0, 0, 7924, 0, 5600, 0, 0, 0, -3040, 0, -500, 0, 0, 0, -11084, 0, -962, 0, 0, 0, 6140, 0, -4432, 0, 0, 0, -1140, 0, -2340, 0, 0, 0, -5984, 0, -1764, 0, 0, 0, 16976, 0, 5180, 0, 0, 0, -9474, 0, 8464, 0, 0, 0, 1120, 0, -18080, 0, 0, 0, -14114, 0, -20284, 0, 0, 0, -23920, 0, -12167, 0, 0, 0, 4706, 0, 3720, 0, 0, 0, -11160, 0, -14362, 0, 0, 0, -9340, 0, 20956, 0, 0, 0, 360, 0, 7808, 0, 0, 0, 4134, 0, -988, 0, 0, 0, -16228, 0, 19140, 0, 0, 0, -2514, 0, 11612, 0, 0, 0, 0, 0, 6354, 0, 0, 0, -8064, 0, -15280, 0, 0, 0, -13240, 0, 3680, 0, 0, 0, 1146, 0, 10400, 0, 0, 0, 10464, 0, 6650, 0, 0, 0, -2690, 0, 6664, 0, 0, 0, -5876, 0, 2134, 0, 0, 0, 714, 0, -29228, 0, 0, 0, 3088, 0, -11875, 0, 0, 0, 9620, 0, 13536, 0, 0, 0, 12960, 0, -3627, 0, 0, 0, -17218, 0, -15044, 0, 0, 0, 25176, 0, 18560, 0, 0, 0, 16034, 0, 8920, 0, 0, 0, 25356, 0, 18310, 0, 0, 0, -1600, 0, 0, 0, 0, 0, 14320, 0, 24802, 0, 0, 0, 22706, 0, -4912, 0, 0, 0, -14792, 0, 23260, 0, 0, 0, -4966, 0, 1148, 0, 0, 0, 19320, 0, -47060, 0, 0, 0, -14870, 0, -1480, 0, 0, 0, -4144, 0, -6354, 0, 0, 0, 0, 0, -5200, 0, 0, 0, 9288, 0, -896, 0, 0, 0, -450, 0, 21544, 0, 0, 0, 9880, 0, 19990, 0, 0, 0, 28000, 0, -532, 0, 0, 0, -25452, 0, 8820, 0, 0, 0, -2976, 0, -6440, 0, 0, 0, -17760, 0, -786, 0, 0, 0, 1498, 0, 7472, 0, 0, 0, 6032, 0, 14738, 0, 0, 0, 3822, 0, -4600, 0, 0, 0, 7240, 0, -29920, 0, 0, 0, 24100, 0, 11900, 0, 0, 0, -15312, 0, 4654, 0, 0, 0, 21274, 0, 58760, 0, 0, 0, 42320, 0, 0, 0, 0, 0, 27566, 0, 11244, 0, 0, 0, 32120, 0, -1520, 0, 0, 0, -13554, 0, -14384, 0, 0, 0, -2488, 0, -20858, 0, 0, 0, 36270, 0, -16680, 0, 0, 0, 23116, 0, -24065, 0, 0, 0, -1690, 0, 2152, 0, 0, 0, 0, 0, 934, 0, 0, 0, -12642, 0, 22796, 0, 0, 0, -76, 0, 35980, 0, 0, 0, 39040, 0, 9100, 0, 0, 0, 12000, 0, -46130, 0, 0, 0, -6682, 0, -47404, 0, 0, 0, 33672, 0, -10368, 0, 0, 0, -9040, 0, -10680, 0, 0, 0, 3312, 0, 49660, 0, 0, 0, 47860, 0, 14540, 0, 0, 0, -7840, 0, -40320, 0, 0, 0, -7136, 0, -47720, 0, 0, 0, -9724, 0, 1850, 0, 0, 0, -7502, 0, -5580, 0, 0, 0, 52000, 0, 22058, 0, 0, 0, -23338, 0, 0, 0, 0, 0, -30488, 0, 13754, 0, 0, 0, -9522, 0, 13120, 0, 0, 0, -18608, 0, 4065, 0, 0, 0, 3500, 0, 7616, 0, 0, 0, 51316, 0, -15456, 0, 0, 0, 48666, 0, 15440, 0, 0, 0, 17388, 0, -3420, 0, 0, 0, 0, 0, -11496, 0, 0, 0, -33680, 0, 48862, 0, 0, 0, 4160, 0, -60320, 0, 0, 0, -7640, 0, -30326, 0, 0, 0, -3334, 0, -1440, 0, 0, 0, -960, 0, 16062, 0, 0, 0, -9050, 0, 12688, 0, 0, 0, 28112, 0, -31758, 0, 0, 0, -46540, 0, 46520, 0, 0, 0, -7056, 0, -8000, 0, 0, 0, 54150, 0, 52228, 0, 0, 0, -20040, 0, 14208, 0, 0, 0, -9346, 0, -36336, 0, 0, 0, -24560, 0, 3718, 0, 0, 0, -1332, 0, 1900, 0, 0, 0, -13104, 0, 0, 0, 0, 0, -14720, 0, -27760, 0, 0, 0, -15284, 0, 9182, 0, 0, 0, 8706, 0, -19280, 0, 0, 0, 21132, 0, 16900, 0, 0, 0, -47582, 0, -20720, 0, 0, 0, -56080, 0, -22970, 0, 0, 0, 9280, 0, 10292, 0, 0, 0, 0, 0, 12130, 0, 0, 0, -4480, 0, 19280, 0, 0, 0, -91000, 0, -25696, 0, 0, 0, 39380, 0, -13616, 0, 0, 0, 6732, 0, -36398, 0, 0, 0, 5018, 0, 7160, 0, 0, 0, -40872, 0, 25620, 0, 0, 0, 13344, 0, -30308, 0, 0, 0, 11300, 0, -14880, 0, 0, 0, -4858, 0, 1352, 0, 0, 0, -18724, 0, 6516, 0, 0, 0, 13038, 0, -71640, 0, 0, 0, 37360, 0, -41502, 0, 0, 0, 61820, 0, 97240, 0, 0, 0, -28784, 0, 63654, 0, 0, 0, 70650, 0, 0, 0, 0, 0, 51064, 0, 6975, 0, 0, 0, -61122, 0, -12888, 0, 0, 0, -2600, 0, 70702, 0, 0, 0, -137540, 0, -76560, 0, 0, 0, -1368, 0, 15410, 0, 0, 0, 8544, 0, 13960, 0, 0, 0, 60752, 0, -7982, 0, 0, 0, 0, 0, -38288, 0, 0, 0, 66608, 0, 14000, 0, 0, 0, 27866, 0, 65992, 0, 0, 0, -11132, 0, 69060, 0, 0, 0, -70590, 0, 7324, 0, 0, 0, 5920, 0, 34882, 0, 0, 0, -28686, 0, 79496, 0, 0, 0, 11400, 0, -41600, 0, 0, 0, -6734, 0, 68480, 0, 0, 0, 40108, 0, 25722, 0, 0, 0, 9550, 0, -20160, 0, 0, 0, -42480, 0, -13984, 0, 0, 0, -10496, 0, -1456, 0, 0, 0, -126880, 0, -60340, 0, 0, 0, -14960, 0, -2800, 0, 0, 0, 48320, 0, 0, 0, 0, 0, -40434, 0, -8136, 0, 0, 0, 26084, 0, -45177, 0, 0, 0, 53318, 0, 60000, 0, 0, 0, 2736, 0, -76194, 0, 0, 0, 40820, 0, 21160, 0, 0, 0, -4836, 0, 26944, 0, 0, 0, -51840, 0, -100744, 0, 0, 0, 0, 0, 33500, 0, 0, 0, -45542, 0, 131040, 0, 0, 0, 77960, 0, 12142, 0, 0, 0, -5022, 0, 72328, 0, 0, 0, -30876, 0, -17570, 0, 0, 0, 56230, 0, -28960, 0, 0, 0, -64344, 0, -35680, 0, 0, 0, -119870, 0, 83000, 0, 0, 0, 3744, 0, -11082, 0, 0, 0, -83168, 0, 11532, 0, 0, 0, 6400, 0, 39220, 0, 0, 0, -24882, 0, 70000, 0, 0, 0, -11600, 0, 16032, 0, 0, 0, -4890, 0, -73564, 0, 0, 0, 64044, 0, -88598, 0, 0, 0, 174, 0, 0, 0, 0, 0, -1804, 0, 19520, 0, 0, 0, 6080, 0, -93040, 0, 0, 0, -73992, 0, -50180, 0, 0, 0, -26788, 0, -51336, 0, 0, 0, -89408, 0, -8950, 0, 0, 0, -77280, 0, 38252, 0, 0, 0, 59560, 0, -6876, 0, 0, 0, 0, 0, -32424, 0, 0, 0, -13520, 0, 49246, 0, 0, 0, -99670, 0, -23520, 0, 0, 0, -98352, 0, 44864, 0, 0, 0, -84420, 0, -62496, 0, 0, 0, -34296, 0, 3497, 0, 0, 0, -20160, 0, 19020, 0, 0, 0, 3672, 0, -55500, 0, 0, 0, -15424, 0, 5624, 0, 0, 0, -7200, 0, 21494, 0, 0, 0, 87266, 0, -31504, 0, 0, 0, 68876, 0, -23830, 0, 0, 0, 120834, 0, 26000, 0, 0, 0, -84240, 0, -72594, 0, 0, 0, 19500, 0, -47780, 0, 0, 0, -20496, 0, 0, 0, 0, 0, 92274, 0, -35280, 0, 0, 0, -70288, 0, 36160, 0, 0, 0, 79820, 0, -16848, 0, 0, 0, 1400, 0, 100490, 0, 0, 0, 71040, 0, -86272, 0, 0, 0, -38388, 0, 14638, 0, 0, 0, 57312, 0, -17500, 0, 0, 0, 0, 0, 62123, 0, 0, 0, 61740, 0, -49456, 0, 0, 0, 7720, 0, -67930, 0, 0, 0, -17190, 0, -25788, 0, 0, 0, -11596, 0, -73600, 0, 0, 0, 26862, 0, 8352, 0, 0, 0, 49760, 0, 67340, 0, 0, 0, -76182, 0, -17084, 0, 0, 0, -96400, 0, 2080, 0, 0, 0, 43626, 0, 29880, 0, 0, 0, 33448, 0, -117530, 0, 0, 0, 1620, 0, 17340, 0, 0, 0, 14560, 0, -12782, 0, 0, 0, -11168, 0, -61944, 0, 0, 0, -27512, 0, -107540, 0, 0, 0, 6444, 0, 0, 0, 0, 0, 18700, 0, 25426, 0, 0, 0, -30238, 0, 37032, 0, 0, 0, 11472, 0, -6818, 0, 0, 0, -128480, 0, -35880, 0, 0, 0, -55248, 0, 72794, 0, 0, 0, 64590, 0, -25116, 0, 0, 0, -28956, 0, 20646, 0, 0, 0, 0, 0, 48360, 0, 0, 0, 91920, 0, -26450, 0, 0, 0, 85376, 0, -82280, 0, 0, 0, 112720, 0, 66720, 0, 0, 0, -54784, 0, -12280, 0, 0, 0, -32440, 0, -73731, 0, 0, 0, -121420, 0, 30560, 0, 0, 0, 6760, 0, -67514, 0, 0, 0, 109140, 0, -66332, 0, 0, 0, -90336, 0, 37314, 0, 0, 0, -99698, 0, -100304, 0, 0, 0, 48272, 0, -2340, 0, 0, 0, 73110, 0, 65872, 0, 0, 0, 81000, 0, -38656, 0, 0, 0, -89846, 0, -143920, 0, 0, 0, 56924, 0, 0, 0, 0, 0, 64066, 0, -61800, 0, 0, 0, -10360, 0, 248820, 0, 0, 0, -8000, 0, -163624, 0, 0, 0, 14544, 0, -164122, 0, 0, 0, -11466, 0, -32656, 0, 0, 0, 12600, 0, -75220, 0, 0, 0, 59610, 0, 151736, 0, 0, 0, 0, 0, -2240, 0, 0, 0, 28268, 0, 23088, 0, 0, 0, -26800, 0, 42720, 0, 0, 0, 66066, 0, -24400, 0, 0, 0, 60756, 0, -62368, 0, 0, 0, -60780, 0, 63724, 0, 0, 0, -191440, 0, -172870, 0, 0, 0, -128754, 0, 86728, 0, 0, 0, 4236, 0, 18300, 0, 0, 0, -100998, 0, -133388, 0, 0, 0, -23920, 0, -108790, 0, 0, 0, 34352, 0, 95896, 0, 0, 0, -48540, 0, -31210, 0, 0, 0, -7440, 0, 29600, 0, 0, 0, 140748, 0, -31330, 0, 0, 0, -124340, 0, 0, 0, 0, 0, -31376, 0, 96254, 0, 0, 0, -34970, 0, -13464, 0, 0, 0, 162088, 0, -37120, 0, 0, 0, 93542, 0, 18680, 0, 0, 0, 25200, 0, 128800, 0, 0, 0, 164214, 0, -20780, 0, 0, 0, -143868, 0, 11194, 0, 0, 0, 0, 0, 141880, 0, 0, 0, -155832, 0, -52480, 0, 0, 0, -86380, 0, 21204, 0, 0, 0, -4332, 0, 153722, 0, 0, 0, 19044, 0, -41756, 0, 0, 0, -14000, 0, -195000, 0, 0, 0, 94702, 0, 191756, 0, 0, 0, -28640, 0, -37446, 0, 0, 0, -25014, 0, 185848, 0, 0, 0, -38280, 0, -47648, 0, 0, 0, 26322, 0, -42920, 0, 0, 0, 168480, 0, 164482, 0, 0, 0, 59820, 0, 13680, 0, 0, 0, 21684, 0, -138284, 0, 0, 0, 18816, 0, 130868, 0, 0, 0, -34336, 0, 0, 0, 0, 0, 134720, 0, 67536, 0, 0, 0, 2560, 0, 2197, 0, 0, 0, -137632, 0, -16508, 0, 0, 0, -40256, 0, 100481, 0, 0, 0, -45318, 0, -125560, 0, 0, 0, 44400, 0, 69126, 0, 0, 0, -9650, 0, 115960, 0, 0, 0, 0, 0, 5760, 0, 0, 0, 49186, 0, 33824, 0, 0, 0, 164432, 0, 55740, 0, 0, 0, -46774, 0, -48532, 0, 0, 0, -144800, 0, -26492, 0, 0, 0, -20800, 0, 194672, 0, 0, 0, -824, 0, 58094, 0, 0, 0, -78382, 0, -2600, 0, 0, 0, 29032, 0, 200482, 0, 0, 0, -12660, 0, -48664, 0, 0, 0, 17568, 0, -47162, 0, 0, 0, -101010, 0, 5380, 0, 0, 0, 126108, 0, 75540, 0, 0, 0, -140754, 0, -105680, 0, 0, 0, -67520, 0, -1120, 0, 0, 0, 80160, 0, 0, 0, 0, 0, 13884, 0, 302380, 0, 0, 0, 186702, 0, -79240, 0, 0, 0, -85412, 0, -31906, 0, 0, 0, -56000, 0, 50252, 0, 0, 0, 113324, 0, -62218, 0, 0, 0, 78530, 0, -49392, 0, 0, 0, 251160, 0, 30400, 0, 0, 0, 0, 0, -76692, 0, 0, 0, 30000, 0, 22930, 0, 0, 0, -120330, 0, -27344, 0, 0, 0, 58880, 0, -71010, 0, 0, 0, -168978, 0, 110840, 0, 0, 0, -115812, 0, 55889, 0, 0, 0, 9620, 0, -18144, 0, 0, 0, 77328, 0, -25920, 0, 0, 0, -45834, 0, 167968, 0, 0, 0, 121980, 0, 15350, 0, 0, 0, -23904, 0, -67600, 0, 0, 0, 44320, 0, 61078, 0, 0, 0, -102298, 0, -1296, 0, 0, 0, -156648, 0, 179584, 0, 0, 0, 224320, 0, 11400, 0, 0, 0, -94624, 0, 0, 0, 0, 0, 23400, 0, 182684, 0, 0, 0, 86032, 0, -235910, 0, 0, 0, 18366, 0, -51800, 0, 0, 0, -17056, 0, 59840, 0, 0, 0, -17840, 0, 172664, 0, 0, 0, 17640, 0, -77120, 0, 0, 0, 129596, 0, -129968, 0, 0, 0, 0, 0, -4550, 0, 0, 0, 28704, 0, -169760, 0, 0, 0, -157520, 0, -89654, 0, 0, 0, 12950, 0, -51672, 0, 0, 0, 126164, 0, 114660, 0, 0, 0, -35264, 0, -42060, 0, 0, 0, -177700, 0, 94740, 0, 0, 0, 105490, 0, -98456, 0, 0, 0, -84640, 0, 175238, 0, 0, 0, 4446, 0, -102480, 0, 0, 0, -230880, 0, -90176, 0, 0, 0, -185472, 0, 2800, 0, 0, 0, -147840, 0, 6948, 0, 0, 0, 180800, 0, 43784, 0, 0, 0, 99840, 0, 16786, 0, 0, 0, 106578, 0, 0, 0, 0, 0, -46520, 0, 141140, 0, 0, 0, 68766, 0, -87312, 0, 0, 0, 202840, 0, 39466, 0, 0, 0, -185898, 0, -27208, 0, 0, 0, 55352, 0, 286560, 0, 0, 0, -106406, 0, 239200, 0, 0, 0, 1872, 0, -38640, 0, 0, 0, 121670, 0, 18104, 0, 0, 0, -247280, 0, -64800, 0, 0, 0, 45706, 0, 161988, 0, 0, 0, 152684, 0, -47060, 0, 0, 0, 313300, 0, -165936, 0, 0, 0, 9300, 0, -264306, 0, 0, 0, 49440, 0, 204492, 0, 0, 0, -138136, 0, -26390, 0, 0, 0, 22014, 0, 111600, 0, 0, 0, 219176, 0, -78292, 0, 0, 0, 143620, 0, -88636, 0, 0, 0, 121508, 0, 17018, 0, 0, 0, 10400, 0, 42400, 0, 0, 0, 60176, 0, -23350, 0, 0, 0, -149578, 0, -163700, 0, 0, 0, -209560, 0, 0, 0, 0, 0, 20198, 0, 26052, 0, 0, 0, 253400, 0, -155154, 0, 0, 0, 256030, 0, -3600, 0, 0, 0, 71024, 0, -55840, 0, 0, 0, -78080, 0, 67680, 0, 0, 0, 417560, 0, -209728, 0, 0, 0, -145838, 0, 48624, 0, 0, 0, 0, 0, -41340, 0, 0, 0, 247014, 0, 68328, 0, 0, 0, 9880, 0, 85734, 0, 0, 0, -12870, 0, 96172, 0, 0, 0, -14640, 0, -2953, 0, 0, 0, -11052, 0, 162280, 0, 0, 0, 271568, 0, 19136, 0, 0, 0, 47850, 0, -276240, 0, 0, 0, -17640, 0, 58770, 0, 0, 0, -196926, 0, -216840, 0, 0, 0, -105356, 0, 25140, 0, 0, 0, -23680, 0, -52788, 0, 0, 0, -116120, 0, -108438, 0, 0, 0, -203270, 0, 99472, 0, 0, 0, -161816, 0, 35520, 0, 0, 0, -21970, 0, 0, 0, 0, 0, 222140, 0, -53200, 0, 0, 0, -63540, 0, 173544, 0, 0, 0, -129456, 0, -273920, 0, 0, 0, 286474, 0, 72904, 0, 0, 0, -77184, 0, 80640, 0, 0, 0, 196786, 0, -270776, 0, 0, 0, 152800, 0, -184090, 0, 0, 0, 0, 0, -72224, 0, 0, 0, -81140, 0, -9324, 0, 0, 0, -113504, 0, 132400, 0, 0, 0, -190820, 0, 467740, 0, 0, 0, -36800, 0, 69104, 0, 0, 0, -25064, 0, -131382, 0, 0, 0, -73162, 0, 241360, 0, 0, 0, 259492, 0, -11460, 0, 0, 0, -49182, 0, 88540, 0, 0, 0, 26000, 0, -51194, 0, 0, 0, -193280, 0, -48200, 0, 0, 0, -2016, 0, -99882, 0, 0, 0, 382996, 0, -104640, 0, 0, 0, -123000, 0], "weight": 4, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0], 1, 0, 0, 0, -10, 0, 8, 0, 0, 0, 40, 0, 13, 0, 0, 0, -130, 0, 20, 0, 0, 0, 0, 0, -25, 0, 0, 0, 18, 0, 184, 0, 0, 0, -80, 0, -74, 0, 0, 0, 362, 0, -76, 0, 0, 0, -452, 0, -279, 0, 0, 0, -382, 0, -400, 0, 0, 0, 464, 0, 358, 0, 0, 0, -130, 0, 700, 0, 0, 0, -748, 0, 1058, 0, 0, 0, 320, 0, 976, 0, 0, 0, -1008, 0, 1300, 0, 0, 0, 386, 0, 104, 0, 0, 0, -200, 0, -614, 0, 0, 0, -518, 0, -112, 0, 0, 0, -372, 0, 934, 0, 0, 0, -1914, 0, 0, 0, 0, 0, -1040, 0, 269, 0, 0, 0, 1500, 0, -1296, 0, 0, 0, -892, 0, 160, 0, 0, 0, -2326, 0, -1932, 0, 0, 0, 520, 0, -180, 0, 0, 0, -882, 0, 1776, 0, 0, 0, -1840, 0, -2410, 0, 0, 0, 0, 0, -3212, 0, 0, 0, 1668, 0, 169, 0, 0, 0, -3598, 0, -200, 0, 0, 0, 1068, 0, -4786, 0, 0, 0, 740, 0, -5200, 0, 0, 0, -1312, 0, -350, 0, 0, 0, 342, 0, 3368, 0, 0, 0, 144, 0, -3620, 0, 0, 0, 800, 0, 2004, 0, 0, 0, 760, 0, 1472, 0, 0, 0, -1690, 0, 5608, 0, 0, 0, -1928, 0, -3938, 0, 0, 0, -2562, 0, 4520, 0, 0, 0, 7164, 0, -6182, 0, 0, 0, 2790, 0, 260, 0, 0, 0, -1396, 0, 0, 0, 0, 0, -6906, 0, -592, 0, 0, 0, -6848, 0, 3820, 0, 0, 0, 6034, 0, -4832, 0, 0, 0, -1000, 0, -4082, 0, 0, 0, -3350, 0, -7796, 0, 0, 0, 2896, 0, 11987, 0, 0, 0, -3922, 0, -4640, 0, 0, 0, 0, 0, -608, 0, 0, 0, -3580, 0, -5956, 0, 0, 0, 2352, 0, 8442, 0, 0, 0, 5550, 0, 720, 0, 0, 0, -2600, 0, -325, 0, 0, 0, -3616, 0, -140, 0, 0, 0, -7000, 0, -6174, 0, 0, 0, 7360, 0, -4976, 0, 0, 0, -2988, 0, -162, 0, 0, 0, 10754, 0, 7480, 0, 0, 0, 3588, 0, -6459, 0, 0, 0, -10580, 0, -11272, 0, 0, 0, -3056, 0, -10914, 0, 0, 0, 234, 0, -8100, 0, 0, 0, 6180, 0, -3200, 0, 0, 0, 7522, 0, 0, 0, 0, 0, -9760, 0, 6078, 0, 0, 0, -1830, 0, 2392, 0, 0, 0, -2960, 0, 12434, 0, 0, 0, 3712, 0, 10080, 0, 0, 0, -14188, 0, 8638, 0, 0, 0, 3250, 0, 2864, 0, 0, 0, 4292, 0, -5982, 0, 0, 0, 0, 0, -256, 0, 0, 0, 12556, 0, -3860, 0, 0, 0, -5574, 0, 14480, 0, 0, 0, -1040, 0, 1266, 0, 0, 0, -7554, 0, 6752, 0, 0, 0, 7924, 0, 5600, 0, 0, 0, -3040, 0, -500, 0, 0, 0, -11084, 0, -962, 0, 0, 0, 6140, 0, -4432, 0, 0, 0, -1140, 0, -2340, 0, 0, 0, -5984, 0, -1764, 0, 0, 0, 16976, 0, 5180, 0, 0, 0, -9474, 0, 8464, 0, 0, 0, 1120, 0, -18080, 0, 0, 0, -14114, 0, -20284, 0, 0, 0, -23920, 0, -12167, 0, 0, 0, 4706, 0, 3720, 0, 0, 0, -11160, 0, -14362, 0, 0, 0, -9340, 0, 20956, 0, 0, 0, 360, 0, 7808, 0, 0, 0, 4134, 0, -988, 0, 0, 0, -16228, 0, 19140, 0, 0, 0, -2514, 0, 11612, 0, 0, 0, 0, 0, 6354, 0, 0, 0, -8064, 0, -15280, 0, 0, 0, -13240, 0, 3680, 0, 0, 0, 1146, 0, 10400, 0, 0, 0, 10464, 0, 6650, 0, 0, 0, -2690, 0, 6664, 0, 0, 0, -5876, 0, 2134, 0, 0, 0, 714, 0, -29228, 0, 0, 0, 3088, 0, -11875, 0, 0, 0, 9620, 0, 13536, 0, 0, 0, 12960, 0, -3627, 0, 0, 0, -17218, 0, -15044, 0, 0, 0, 25176, 0, 18560, 0, 0, 0, 16034, 0, 8920, 0, 0, 0, 25356, 0, 18310, 0, 0, 0, -1600, 0, 0, 0, 0, 0, 14320, 0, 24802, 0, 0, 0, 22706, 0, -4912, 0, 0, 0, -14792, 0, 23260, 0, 0, 0, -4966, 0, 1148, 0, 0, 0, 19320, 0, -47060, 0, 0, 0, -14870, 0, -1480, 0, 0, 0, -4144, 0, -6354, 0, 0, 0, 0, 0, -5200, 0, 0, 0, 9288, 0, -896, 0, 0, 0, -450, 0, 21544, 0, 0, 0, 9880, 0, 19990, 0, 0, 0, 28000, 0, -532, 0, 0, 0, -25452, 0, 8820, 0, 0, 0, -2976, 0, -6440, 0, 0, 0, -17760, 0, -786, 0, 0, 0, 1498, 0, 7472, 0, 0, 0, 6032, 0, 14738, 0, 0, 0, 3822, 0, -4600, 0, 0, 0, 7240, 0, -29920, 0, 0, 0, 24100, 0, 11900, 0, 0, 0, -15312, 0, 4654, 0, 0, 0, 21274, 0, 58760, 0, 0, 0, 42320, 0, 0, 0, 0, 0, 27566, 0, 11244, 0, 0, 0, 32120, 0, -1520, 0, 0, 0, -13554, 0, -14384, 0, 0, 0, -2488, 0, -20858, 0, 0, 0, 36270, 0, -16680, 0, 0, 0, 23116, 0, -24065, 0, 0, 0, -1690, 0, 2152, 0, 0, 0, 0, 0, 934, 0, 0, 0, -12642, 0, 22796, 0, 0, 0, -76, 0, 35980, 0, 0, 0, 39040, 0, 9100, 0, 0, 0, 12000, 0, -46130, 0, 0, 0, -6682, 0, -47404, 0, 0, 0, 33672, 0, -10368, 0, 0, 0, -9040, 0, -10680, 0, 0, 0, 3312, 0, 49660, 0, 0, 0, 47860, 0, 14540, 0, 0, 0, -7840, 0, -40320, 0, 0, 0, -7136, 0, -47720, 0, 0, 0, -9724, 0, 1850, 0, 0, 0, -7502, 0, -5580, 0, 0, 0, 52000, 0, 22058, 0, 0, 0, -23338, 0, 0, 0, 0, 0, -30488, 0, 13754, 0, 0, 0, -9522, 0, 13120, 0, 0, 0, -18608, 0, 4065, 0, 0, 0, 3500, 0, 7616, 0, 0, 0, 51316, 0, -15456, 0, 0, 0, 48666, 0, 15440, 0, 0, 0, 17388, 0, -3420, 0, 0, 0, 0, 0, -11496, 0, 0, 0, -33680, 0, 48862, 0, 0, 0, 4160, 0, -60320, 0, 0, 0, -7640, 0, -30326, 0, 0, 0, -3334, 0, -1440, 0, 0, 0, -960, 0, 16062, 0, 0, 0, -9050, 0, 12688, 0, 0, 0, 28112, 0, -31758, 0, 0, 0, -46540, 0, 46520, 0, 0, 0, -7056, 0, -8000, 0, 0, 0, 54150, 0, 52228, 0, 0, 0, -20040, 0, 14208, 0, 0, 0, -9346, 0, -36336, 0, 0, 0, -24560, 0, 3718, 0, 0, 0, -1332, 0, 1900, 0, 0, 0, -13104, 0, 0, 0, 0, 0, -14720, 0, -27760, 0, 0, 0, -15284, 0, 9182, 0, 0, 0, 8706, 0, -19280, 0, 0, 0, 21132, 0, 16900, 0, 0, 0, -47582, 0, -20720, 0, 0, 0, -56080, 0, -22970, 0, 0, 0, 9280, 0, 10292, 0, 0, 0, 0, 0, 12130, 0, 0, 0, -4480, 0, 19280, 0, 0, 0, -91000, 0, -25696, 0, 0, 0, 39380, 0, -13616, 0, 0, 0, 6732, 0, -36398, 0, 0, 0, 5018, 0, 7160, 0, 0, 0, -40872, 0, 25620, 0, 0, 0, 13344, 0, -30308, 0, 0, 0, 11300, 0, -14880, 0, 0, 0, -4858, 0, 1352, 0, 0, 0, -18724, 0, 6516, 0, 0, 0, 13038, 0, -71640, 0, 0, 0, 37360, 0, -41502, 0, 0, 0, 61820, 0, 97240, 0, 0, 0, -28784, 0, 63654, 0, 0, 0, 70650, 0, 0, 0, 0, 0, 51064, 0, 6975, 0, 0, 0, -61122, 0, -12888, 0, 0, 0, -2600, 0, 70702, 0, 0, 0, -137540, 0, -76560, 0, 0, 0, -1368, 0, 15410, 0, 0, 0, 8544, 0, 13960, 0, 0, 0, 60752, 0, -7982, 0, 0, 0, 0, 0, -38288, 0, 0, 0, 66608, 0, 14000, 0, 0, 0, 27866, 0, 65992, 0, 0, 0, -11132, 0, 69060, 0, 0, 0, -70590, 0, 7324, 0, 0, 0, 5920, 0, 34882, 0, 0, 0, -28686, 0, 79496, 0, 0, 0, 11400, 0, -41600, 0, 0, 0, -6734, 0, 68480, 0, 0, 0, 40108, 0, 25722, 0, 0, 0, 9550, 0, -20160, 0, 0, 0, -42480, 0, -13984, 0, 0, 0, -10496, 0, -1456, 0, 0, 0, -126880, 0, -60340, 0, 0, 0, -14960, 0, -2800, 0, 0, 0, 48320, 0, 0, 0, 0, 0, -40434, 0, -8136, 0, 0, 0, 26084, 0, -45177, 0, 0, 0, 53318, 0, 60000, 0, 0, 0, 2736, 0, -76194, 0, 0, 0, 40820, 0, 21160, 0, 0, 0, -4836, 0, 26944, 0, 0, 0, -51840, 0, -100744, 0, 0, 0, 0, 0, 33500, 0, 0, 0, -45542, 0, 131040, 0, 0, 0, 77960, 0, 12142, 0, 0, 0, -5022, 0, 72328, 0, 0, 0, -30876, 0, -17570, 0, 0, 0, 56230, 0, -28960, 0, 0, 0, -64344, 0, -35680, 0, 0, 0, -119870, 0, 83000, 0, 0, 0, 3744, 0, -11082, 0, 0, 0, -83168, 0, 11532, 0, 0, 0, 6400, 0, 39220, 0, 0, 0, -24882, 0, 70000, 0, 0, 0, -11600, 0, 16032, 0, 0, 0, -4890, 0, -73564, 0, 0, 0, 64044, 0, -88598, 0, 0, 0, 174, 0, 0, 0, 0, 0, -1804, 0, 19520, 0, 0, 0, 6080, 0, -93040, 0, 0, 0, -73992, 0, -50180, 0, 0, 0, -26788, 0, -51336, 0, 0, 0, -89408, 0, -8950, 0, 0, 0, -77280, 0, 38252, 0, 0, 0, 59560, 0, -6876, 0, 0, 0, 0, 0, -32424, 0, 0, 0, -13520, 0, 49246, 0, 0, 0, -99670, 0, -23520, 0, 0, 0, -98352, 0, 44864, 0, 0, 0, -84420, 0, -62496, 0, 0, 0, -34296, 0, 3497, 0, 0, 0, -20160, 0, 19020, 0, 0, 0, 3672, 0, -55500, 0, 0, 0, -15424, 0, 5624, 0, 0, 0, -7200, 0, 21494, 0, 0, 0, 87266, 0, -31504, 0, 0, 0, 68876, 0, -23830, 0, 0, 0, 120834, 0, 26000, 0, 0, 0, -84240, 0, -72594, 0, 0, 0, 19500, 0, -47780, 0, 0, 0, -20496, 0, 0, 0, 0, 0, 92274, 0, -35280, 0, 0, 0, -70288, 0, 36160, 0, 0, 0, 79820, 0, -16848, 0, 0, 0, 1400, 0, 100490, 0, 0, 0, 71040, 0, -86272, 0, 0, 0, -38388, 0, 14638, 0, 0, 0, 57312, 0, -17500, 0, 0, 0, 0, 0, 62123, 0, 0, 0, 61740, 0, -49456, 0, 0, 0, 7720, 0, -67930, 0, 0, 0, -17190, 0, -25788, 0, 0, 0, -11596, 0, -73600, 0, 0, 0, 26862, 0, 8352, 0, 0, 0, 49760, 0, 67340, 0, 0, 0, -76182, 0, -17084, 0, 0, 0, -96400, 0, 2080, 0, 0, 0, 43626, 0, 29880, 0, 0, 0, 33448, 0, -117530, 0, 0, 0, 1620, 0, 17340, 0, 0, 0, 14560, 0, -12782, 0, 0, 0, -11168, 0, -61944, 0, 0, 0, -27512, 0, -107540, 0, 0, 0, 6444, 0, 0, 0, 0, 0, 18700, 0, 25426, 0, 0, 0, -30238, 0, 37032, 0, 0, 0, 11472, 0, -6818, 0, 0, 0, -128480, 0, -35880, 0, 0, 0, -55248, 0, 72794, 0, 0, 0, 64590, 0, -25116, 0, 0, 0, -28956, 0, 20646, 0, 0, 0, 0, 0, 48360, 0, 0, 0, 91920, 0, -26450, 0, 0, 0, 85376, 0, -82280, 0, 0, 0, 112720, 0, 66720, 0, 0, 0, -54784, 0, -12280, 0, 0, 0, -32440, 0, -73731, 0, 0, 0, -121420, 0, 30560, 0, 0, 0, 6760, 0, -67514, 0, 0, 0, 109140, 0, -66332, 0, 0, 0, -90336, 0, 37314, 0, 0, 0, -99698, 0, -100304, 0, 0, 0, 48272, 0, -2340, 0, 0, 0, 73110, 0, 65872, 0, 0, 0, 81000, 0, -38656, 0, 0, 0, -89846, 0, -143920, 0, 0, 0, 56924, 0, 0, 0, 0, 0, 64066, 0, -61800, 0, 0, 0, -10360, 0, 248820, 0, 0, 0, -8000, 0, -163624, 0, 0, 0, 14544, 0, -164122, 0, 0, 0, -11466, 0, -32656, 0, 0, 0, 12600, 0, -75220, 0, 0, 0, 59610, 0, 151736, 0, 0, 0, 0, 0, -2240, 0, 0, 0, 28268, 0, 23088, 0, 0, 0, -26800, 0, 42720, 0, 0, 0, 66066, 0, -24400, 0, 0, 0, 60756, 0, -62368, 0, 0, 0, -60780, 0, 63724, 0, 0, 0, -191440, 0, -172870, 0, 0, 0, -128754, 0, 86728, 0, 0, 0, 4236, 0, 18300, 0, 0, 0, -100998, 0, -133388, 0, 0, 0, -23920, 0, -108790, 0, 0, 0, 34352, 0, 95896, 0, 0, 0, -48540, 0, -31210, 0, 0, 0, -7440, 0, 29600, 0, 0, 0, 140748, 0, -31330, 0, 0, 0, -124340, 0, 0, 0, 0, 0, -31376, 0, 96254, 0, 0, 0, -34970, 0, -13464, 0, 0, 0, 162088, 0, -37120, 0, 0, 0, 93542, 0, 18680, 0, 0, 0, 25200, 0, 128800, 0, 0, 0, 164214, 0, -20780, 0, 0, 0, -143868, 0, 11194, 0, 0, 0, 0, 0, 141880, 0, 0, 0, -155832, 0, -52480, 0, 0, 0, -86380, 0, 21204, 0, 0, 0, -4332, 0, 153722, 0, 0, 0, 19044, 0, -41756, 0, 0, 0, -14000, 0, -195000, 0, 0, 0, 94702, 0, 191756, 0, 0, 0, -28640, 0, -37446, 0, 0, 0, -25014, 0, 185848, 0, 0, 0, -38280, 0, -47648, 0, 0, 0, 26322, 0, -42920, 0, 0, 0, 168480, 0, 164482, 0, 0, 0, 59820, 0, 13680, 0, 0, 0, 21684, 0, -138284, 0, 0, 0, 18816, 0, 130868, 0, 0, 0, -34336, 0, 0, 0, 0, 0, 134720, 0, 67536, 0, 0, 0, 2560, 0, 2197, 0, 0, 0, -137632, 0, -16508, 0, 0, 0, -40256, 0, 100481, 0, 0, 0, -45318, 0, -125560, 0, 0, 0, 44400, 0, 69126, 0, 0, 0, -9650, 0, 115960, 0, 0, 0, 0, 0, 5760, 0, 0, 0, 49186, 0, 33824, 0, 0, 0, 164432, 0, 55740, 0, 0, 0, -46774, 0, -48532, 0, 0, 0, -144800, 0, -26492, 0, 0, 0, -20800, 0, 194672, 0, 0, 0, -824, 0, 58094, 0, 0, 0, -78382, 0, -2600, 0, 0, 0, 29032, 0, 200482, 0, 0, 0, -12660, 0, -48664, 0, 0, 0, 17568, 0, -47162, 0, 0, 0, -101010, 0, 5380, 0, 0, 0, 126108, 0, 75540, 0, 0, 0, -140754, 0, -105680, 0, 0, 0, -67520, 0, -1120, 0, 0, 0, 80160, 0, 0, 0, 0, 0, 13884, 0, 302380, 0, 0, 0, 186702, 0, -79240, 0, 0, 0, -85412, 0, -31906, 0, 0, 0, -56000, 0, 50252, 0, 0, 0, 113324, 0, -62218, 0, 0, 0, 78530, 0, -49392, 0, 0, 0, 251160, 0, 30400, 0, 0, 0, 0, 0, -76692, 0, 0, 0, 30000, 0, 22930, 0, 0, 0, -120330, 0, -27344, 0, 0, 0, 58880, 0, -71010, 0, 0, 0, -168978, 0, 110840, 0, 0, 0, -115812, 0, 55889, 0, 0, 0, 9620, 0, -18144, 0, 0, 0, 77328, 0, -25920, 0, 0, 0, -45834, 0, 167968, 0, 0, 0, 121980, 0, 15350, 0, 0, 0, -23904, 0, -67600, 0, 0, 0, 44320, 0, 61078, 0, 0, 0, -102298, 0, -1296, 0, 0, 0, -156648, 0, 179584, 0, 0, 0, 224320, 0, 11400, 0, 0, 0, -94624, 0, 0, 0, 0, 0, 23400, 0, 182684, 0, 0, 0, 86032, 0, -235910, 0, 0, 0, 18366, 0, -51800, 0, 0, 0, -17056, 0, 59840, 0, 0, 0, -17840, 0, 172664, 0, 0, 0, 17640, 0, -77120, 0, 0, 0, 129596, 0, -129968, 0, 0, 0, 0, 0, -4550, 0, 0, 0, 28704, 0, -169760, 0, 0, 0, -157520, 0, -89654, 0, 0, 0, 12950, 0, -51672, 0, 0, 0, 126164, 0, 114660, 0, 0, 0, -35264, 0, -42060, 0, 0, 0, -177700, 0, 94740, 0, 0, 0, 105490, 0, -98456, 0, 0, 0, -84640, 0, 175238, 0, 0, 0, 4446, 0, -102480, 0, 0, 0, -230880, 0, -90176, 0, 0, 0, -185472, 0, 2800, 0, 0, 0, -147840, 0, 6948, 0, 0, 0, 180800, 0, 43784, 0, 0, 0, 99840, 0, 16786, 0, 0, 0, 106578, 0, 0, 0, 0, 0, -46520, 0, 141140, 0, 0, 0, 68766, 0, -87312, 0, 0, 0, 202840, 0, 39466, 0, 0, 0, -185898, 0, -27208, 0, 0, 0, 55352, 0, 286560, 0, 0, 0, -106406, 0, 239200, 0, 0, 0, 1872, 0, -38640, 0, 0, 0, 121670, 0, 18104, 0, 0, 0, -247280, 0, -64800, 0, 0, 0, 45706, 0, 161988, 0, 0, 0, 152684, 0, -47060, 0, 0, 0, 313300, 0, -165936, 0, 0, 0, 9300, 0, -264306, 0, 0, 0, 49440, 0, 204492, 0, 0, 0, -138136, 0, -26390, 0, 0, 0, 22014, 0, 111600, 0, 0, 0, 219176, 0, -78292, 0, 0, 0, 143620, 0, -88636, 0, 0, 0, 121508, 0, 17018, 0, 0, 0, 10400, 0, 42400, 0, 0, 0, 60176, 0, -23350, 0, 0, 0, -149578, 0, -163700, 0, 0, 0, -209560, 0, 0, 0, 0, 0, 20198, 0, 26052, 0, 0, 0, 253400, 0, -155154, 0, 0, 0, 256030, 0, -3600, 0, 0, 0, 71024, 0, -55840, 0, 0, 0, -78080, 0, 67680, 0, 0, 0, 417560, 0, -209728, 0, 0, 0, -145838, 0, 48624, 0, 0, 0, 0, 0, -41340, 0, 0, 0, 247014, 0, 68328, 0, 0, 0, 9880, 0, 85734, 0, 0, 0, -12870, 0, 96172, 0, 0, 0, -14640, 0, -2953, 0, 0, 0, -11052, 0, 162280, 0, 0, 0, 271568, 0, 19136, 0, 0, 0, 47850, 0, -276240, 0, 0, 0, -17640, 0, 58770, 0, 0, 0, -196926, 0, -216840, 0, 0, 0, -105356, 0, 25140, 0, 0, 0, -23680, 0, -52788, 0, 0, 0, -116120, 0, -108438, 0, 0, 0, -203270, 0, 99472, 0, 0, 0, -161816, 0, 35520, 0, 0, 0, -21970, 0, 0, 0, 0, 0, 222140, 0, -53200, 0, 0, 0, -63540, 0, 173544, 0, 0, 0, -129456, 0, -273920, 0, 0, 0, 286474, 0, 72904, 0, 0, 0, -77184, 0, 80640, 0, 0, 0, 196786, 0, -270776, 0, 0, 0, 152800, 0, -184090, 0, 0, 0, 0, 0, -72224, 0, 0, 0, -81140, 0, -9324, 0, 0, 0, -113504, 0, 132400, 0, 0, 0, -190820, 0, 467740, 0, 0, 0, -36800, 0, 69104, 0, 0, 0, -25064, 0, -131382, 0, 0, 0, -73162, 0, 241360, 0, 0, 0, 259492, 0, -11460, 0, 0, 0, -49182, 0, 88540, 0, 0, 0, 26000, 0, -51194, 0, 0, 0, -193280, 0, -48200, 0, 0, 0, -2016, 0, -99882, 0, 0, 0, 382996, 0, -104640, 0, 0, 0, -123000, 0]}