# Stored data for newform 448.4.a.p, downloaded from the LMFDB on 06 December 2025.
{"Nk2": 7168, "analytic_conductor": 26.432855682571795, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [7, 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": [448, 1, [127, 197, 129], [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": [[3, [-10, 1]], [5, [-8, 1]]], "hecke_orbit": 16, "hecke_orbit_code": 67553994477666752, "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": "448.4.a.p", "level": 448, "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, 7], "level_radical": 14, "minimal_twist": "28.4.a.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+10q^{3}+8q^{5}-7q^{7}+73q^{9}+40q^{11}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "448.4.a", "trace_display": [0, 10, 8, -7], "trace_hash": 862904988741398296, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.990", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.968", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.931", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "traces": [0, 1, 0, 10, 0, 8, 0, -7, 0, 73, 0, 40, 0, 12, 0, 80, 0, -58, 0, -26, 0, -70, 0, -64, 0, -61, 0, 460, 0, 62, 0, 252, 0, 400, 0, -56, 0, -26, 0, 120, 0, 6, 0, -416, 0, 584, 0, -396, 0, 49, 0, -580, 0, 450, 0, 320, 0, -260, 0, -274, 0, 576, 0, -511, 0, 96, 0, 476, 0, -640, 0, -448, 0, -158, 0, -610, 0, -280, 0, -936, 0, 2629, 0, -530, 0, -464, 0, 620, 0, -390, 0, -84, 0, 2520, 0, -208, 0, 214, 0, 2920, 0, -1432, 0, 764, 0, -560, 0, -324, 0, 1334, 0, -260, 0, 1798, 0, -512, 0, 876, 0, 406, 0, 269, 0, 60, 0, -1488, 0, -384, 0, -4160, 0, 1814, 0, 182, 0, 3680, 0, 1666, 0, -1126, 0, -3960, 0, 480, 0, 496, 0, 490, 0, -2694, 0, -2648, 0, -4234, 0, 2016, 0, 556, 0, 4500, 0, 448, 0, 328, 0, 3200, 0, -4268, 0, -2053, 0, -1898, 0, 3476, 0, 427, 0, -2740, 0, -2268, 0, 276, 0, 5760, 0, -208, 0, -2320, 0, -3220, 0, -3000, 0, 3278, 0, 960, 0, 2362, 0, -1036, 0, 4760, 0, -434, 0, 48, 0, -4672, 0, -1040, 0, -3524, 0, -4480, 0, -3328, 0, -1764, 0, -1580, 0, -696, 0, -1336, 0, -4453, 0, -1290, 0, -5524, 0, -2800, 0, 6314, 0, -3168, 0, -9360, 0, -3960, 0, -7018, 0, 13870, 0, 392, 0, -312, 0, -5300, 0, 2394, 0, -2560, 0, -4640, 0, -2766, 0, 182, 0, 4526, 0, 7968, 0, 3600, 0, -3900, 0, 2900, 0, 2640, 0, -840, 0, -2440, 0, 1522, 0, 18396, 0, -4534, 0, -4834, 0, -2080, 0, -42, 0, -1549, 0, 2140, 0, 4656, 0, -2192, 0, 18400, 0, -768, 0, 2912, 0, -14320, 0, 4608, 0, 7238, 0, 7640, 0, 1096, 0, -3818, 0, -4088, 0, -1998, 0, 2480, 0, -3240, 0, 1508, 0, -732, 0, 13340, 0, 2772, 0, 7936, 0, -1898, 0, 3808, 0, 2766, 0, 17980, 0, 10080, 0, -343, 0, -5120, 0, -8352, 0, 5924, 0, 5520, 0, 2226, 0, -3584, 0, 4060, 0, 3880, 0, -6183, 0, 2690, 0, -1264, 0, -2584, 0, 438, 0, -3150, 0, -10534, 0, -14880, 0, 744, 0, 4472, 0, -3840, 0, 2468, 0, -2240, 0, -30368, 0, 1046, 0, 3712, 0, 18140, 0, -7488, 0, -2124, 0, 1820, 0, 11598, 0, 3024, 0, 21032, 0, -1040, 0, -2770, 0, 16660, 0, 1918, 0, -4240, 0, -11260, 0, -9438, 0, -5550, 0, -28908, 0, 3538, 0, -4032, 0, 4800, 0, -3000, 0, 12926, 0, 4960, 0, 1664, 0, -408, 0, 3577, 0, 14452, 0, -3120, 0, -26940, 0, 10258, 0, 240, 0, -26480, 0, -672, 0, -5498, 0, -26680, 0, 16316, 0, 8944, 0, 20160, 0, 9422, 0, -3332, 0, 5560, 0, -16640, 0, 1586, 0, 32850, 0, 13820, 0, -312, 0, 4480, 0, 1712, 0, -13264, 0, 3280, 0, 5940, 0, -3596, 0, 23360, 0, 3136, 0, 8252, 0, -42680, 0, 4704, 0, -11456, 0, -20530, 0, 10788, 0, 1106, 0, -11960, 0, 6112, 0, -15840, 0, 34760, 0, -14586, 0, -26, 0, 4270, 0, -14616, 0, -8071, 0, -20002, 0, 72, 0, -2592, 0, -22680, 0, 1960, 0, -11214, 0, 2760, 0, 10672, 0, 5424, 0, 42048, 0, -1612, 0, 6552, 0, -2080, 0, 17618, 0, -4992, 0, -23200, 0, 3562, 0, 14384, 0, -18403, 0, 2838, 0, 360, 0, -30000, 0, 3904, 0, 22018, 0, 32780, 0, 3710, 0, 18000, 0, 7008, 0, -1454, 0, -6552, 0, 23620, 0, 13818, 0, 3248, 0, -10360, 0, 6696, 0, 10010, 0, 34748, 0, 2152, 0, 2880, 0, -4340, 0, -4752, 0, -6522, 0, 480, 0, 6614, 0, -5266, 0, -29440, 0, 2730, 0, -4279, 0, -10400, 0, 1508, 0, 3344, 0, -35240, 0, -3072, 0, 588, 0, -32704, 0, -4882, 0, 15898, 0, -33280, 0, 6132, 0, -10960, 0, -17640, 0, 24198, 0, 14512, 0, -11534, 0, -17456, 0, 656, 0, -6960, 0, 1456, 0, -3968, 0, -13360, 0, 23040, 0, -18214, 0, -28060, 0, -30252, 0, -1498, 0, -12900, 0, 10836, 0, 13328, 0, -55240, 0, 5400, 0, -9578, 0, -20440, 0, -9008, 0, -348, 0, 63140, 0, -12442, 0, 676, 0, -31680, 0, 10024, 0, 25174, 0, -68328, 0, -16128, 0, 3840, 0, -39600, 0, 34188, 0, -5348, 0, -70180, 0, -3782, 0, -5204, 0, 67717, 0, 24128, 0, 32880, 0, 3920, 0, 19040, 0, 3912, 0, -3120, 0, -16008, 0, -21552, 0, -38690, 0, 2268, 0, 9960, 0, 23940, 0, -21184, 0, -12378, 0, -25600, 0, 34670, 0, -9338, 0, -33872, 0, -3288, 0, -10898, 0, -27660, 0, 25808, 0, -15372, 0, 1820, 0, -156, 0, -17920, 0, 28520, 0, 4448, 0, 21054, 0, 79680, 0, -12586, 0, 6912, 0, 36000, 0, 24276, 0, 22968, 0, -28470, 0, -6320, 0, 3584, 0, 29000, 0, 21526, 0, 12806, 0, 26400, 0, 2624, 0, 10816, 0, -6132, 0, -13214, 0, 32248, 0, -24400, 0, 14316, 0, -25168, 0, 15220, 0, -2842, 0, -34144, 0, 115920, 0, 9356, 0, -20545, 0, -45340, 0, -16424, 0, -1883, 0, -48340, 0, 1664, 0, -2372, 0, -15184, 0, 11694, 0, 20506, 0, -420, 0, -28136, 0, 27808, 0, -15490, 0, -37440, 0, 5712, 0, 15622, 0, 10416, 0, 37070, 0, 46560, 0, -6198, 0, 31876, 0, -21920, 0, -132, 0, 2688, 0, 105160, 0, 10296, 0, -18144, 0, -7680, 0, 15624, 0, -26100, 0, 29120, 0, 2208, 0, -38244, 0, -104536, 0, -7008, 0, -21200, 0, 46080, 0, -12698, 0, 36664, 0, 72380, 0, -5376, 0, 1586, 0, 55772, 0, 45510, 0, -1274, 0, 10960, 0, -18560, 0, -3838, 0, -38180, 0, 16832, 0, -384, 0, -25760, 0, 40928, 0, -1896, 0, -19980, 0, -24070, 0, -24000, 0, 24800, 0, -11662, 0, 33713, 0, -23652, 0, 26224, 0, -17152, 0, 15080, 0, 32910, 0, 7882, 0, -7320, 0, -6822, 0, -15600, 0, 97382, 0, -48420, 0, 18896, 0, 27720, 0, 26624, 0, -49216, 0, 79360, 0, -8288, 0, -35264, 0, -11960, 0, -3360, 0, 15892, 0, 38080, 0, -11700, 0, -52930, 0, 27660, 0, 10860, 0, -3472, 0, 131254, 0, -20284, 0, -29716, 0, 100800, 0, -366, 0, -11232, 0, -3430, 0, 5088, 0, -19830, 0, -37376, 0, -33408, 0, -66276, 0, -83520, 0, 18858, 0, -8320, 0, 59240, 0, -14078, 0, -53988, 0, 31548, 0, -28192, 0, 18536, 0, 22260, 0, 24166, 0, 2672, 0, -35840, 0, 8560, 0, 16672, 0, 29638, 0, -1612, 0, 25376, 0, 38800, 0, -6360, 0, 25344, 0, -61830, 0, -14112, 0, 6456, 0, 19637, 0, -70838, 0, -26050, 0, -12640, 0, 45082, 0, -3892, 0, -25840, 0, -19904, 0, -5568, 0, 2760, 0, -64092, 0, -57280, 0, -31500, 0, -10688, 0, -24870, 0, -105340, 0, 7124, 0, -34922, 0, -108624, 0, -3136, 0, -50910, 0, 7440, 0, 30560, 0, -10320, 0, 44720, 0, -27608, 0, -2296, 0, -28032, 0, -44192, 0, -6552, 0, 24680, 0, 61428, 0, 39394, 0, -22400, 0, -4680, 0, -14976, 0, -191360, 0, 15012, 0, 50512, 0, 10460, 0, 29876, 0, -25756, 0, 37120, 0, 24156, 0, -12960, 0, 132422, 0, 49324, 0, 14371, 0, -74880, 0, -51324, 0, 372, 0, -21240, 0, 2690, 0, -31680, 0, 13286, 0, 53360, 0, 8654, 0, 115980, 0, -56144, 0, 25984, 0, 30240, 0, -24332, 0, 68702, 0, 110960, 0, 25146, 0, -28800, 0, -10400, 0, -47544, 0, -2989, 0, -27700, 0, -6726, 0, 68196, 0, 121618, 0, -2496, 0, 50704, 0, 19180, 0, 9164, 0, 71920, 0, -42400, 0, -25792, 0, -9030, 0, -82198, 0, 15876, 0, 19152, 0, -94380, 0, -44010, 0, 2568, 0, -55500, 0, -20480, 0, -1932, 0, -182160, 0, 1512, 0, -12376, 0, 35380, 0, -31344, 0, -17356, 0, -40320, 0, -25320, 0, -22128, 0, 35040, 0, -48306, 0, 38434, 0, -30000, 0, 1456, 0, -9538, 0, 129260, 0, 75224, 0, 56232, 0, 36208, 0, 34526, 0, 16240, 0, 16640, 0, -17184, 0, 63744, 0, -4080, 0, 31080, 0, -45442, 0, 22540, 0, -27450, 0, -56432, 0, 144520, 0, -42480, 0, -104832, 0, -31200, 0, 21000, 0, 9168, 0, -196662, 0, 54288, 0, 23200, 0, 102580, 0, 11648, 0, -22946, 0, 2400, 0, 21120, 0, 17536, 0, -193304, 0, -71602, 0, -24552, 0, -6720, 0, -59992, 0, -49977, 0, -54980, 0, 1942, 0, -59520, 0, -152482, 0, -16534, 0, 20702, 0, 163160, 0, 12176, 0, 4108, 0, 89440, 0, -3888, 0, 7252, 0, 147168, 0, -15360, 0, 4024, 0, 94220, 0, -36864, 0, -36272, 0, -33320, 0, -16302, 0, 30740, 0, 40588, 0, -38672, 0, 16008, 0, -166400, 0, 3038, 0, -21848, 0, 15860, 0, 15942, 0, 25678, 0, 207000, 0, -79414, 0, -336, 0, 138200, 0, 66472, 0, 72560, 0, -3120, 0, -12392, 0, 77760, 0, 32704, 0, -52872, 0, -47706, 0, 17120, 0, -99792, 0, -92926, 0, -132640, 0, 7280, 0, 37248, 0, 23944, 0, 21576, 0, 55312, 0, 59400, 0, 16714, 0, 24668, 0, -35960, 0, -19254, 0, -19946, 0, 147200, 0, 28128, 0, 83014, 0, 31360, 0, 6090, 0, -6144, 0, 82520, 0, 37908, 0, 24336, 0, -311564, 0, 23296, 0, 66640, 0, 47040, 0, -65696, 0, 22620, 0, -114560, 0, -156, 0, 12348, 0, -149869, 0, -95072, 0, -35136, 0, 107880, 0, -45040, 0, 28870, 0, 11060, 0, 57904, 0, 27900, 0, -68354, 0, -30464, 0, -49024, 0, 61120, 0, 4872, 0, -52230, 0, -158400, 0, -35926, 0, 8768, 0, 253748, 0, -58092, 0, 9352, 0, -145860, 0, -30544, 0, -89424, 0, -260, 0, 73222, 0, 3228, 0, 31171, 0, 13780, 0, -80240, 0, -146160, 0, -33552, 0, -15984, 0, -80710, 0, 9030, 0, 10816, 0, -126040, 0, 19840, 0, -51886, 0, 720, 0, -56670, 0, 38668, 0, -25920, 0, 36240, 0, 30394, 0, -165564, 0, -27440, 0, 12064, 0, 19600, 0, 34036, 0, 30430, 0, -112140, 0, -17856, 0, 53874, 0, 20148, 0, -44198, 0, 28672, 0, 106720, 0, 67016, 0, -107760, 0, 54240, 0, 113400, 0, 22176, 0, 264960, 0, -12412, 0, -4608, 0, -16120, 0, 63488, 0, 55934, 0, 65520, 0, -105920, 0, 43000, 0, -15184, 0, 15656, 0, 120584, 0, 176180, 0, 27720, 0, -29036, 0, -49920, 0, 10112, 0, -68885, 0, -169360, 0, 22128, 0, 49126, 0, 35620, 0, 10140, 0, 63632, 0, 143840, 0, 34134, 0, -41038, 0, -97090, 0, 21768, 0, 80640, 0, 28380, 0, 26946, 0, -16988, 0, 3600, 0, -2744, 0, 83056, 0, -219000, 0, -58310, 0, -22228, 0, 39040, 0, 22240, 0, 2184, 0, 220180, 0, -139986, 0, -66816, 0, 239294, 0, 10296, 0, 14388, 0, 37100, 0, 47392, 0, 39616, 0, 180000, 0, -44312, 0, -107886, 0, 44160, 0, -16758, 0, -82576, 0, -14540, 0, -2496, 0, 17808, 0, -65520, 0, 35712, 0, 17920, 0, 172426, 0, 27328, 0, 119698, 0, 138180, 0, 19992, 0, 139728, 0, 32480, 0, 115648, 0, 80706, 0, -75628, 0, 13120, 0, 31040, 0, 66960, 0, 19362, 0, 103630, 0, 100100, 0, -49464, 0, -13512, 0, 218960, 0, -68418, 0, -1274, 0, 21520, 0, 59904, 0, 18792, 0, 28800, 0, 100968, 0, 9638, 0, -31682, 0, -69048, 0, 106296, 0, -47520, 0, -20672, 0, -170720, 0, -65220, 0, -55776, 0, -5564, 0, 3504, 0, -55380, 0, 93549, 0, 66140, 0, -77372, 0, -25200, 0, -52660, 0, -82120, 0, 116416, 0, -168256, 0, -84272, 0, 15414, 0, 27300, 0, 79424, 0, -141726, 0, -42790, 0, -111494, 0, 115148, 0, -75920, 0, -20300, 0, 5952, 0, 15080, 0, -21870, 0, 145152, 0, 33440, 0, 35776, 0, -18480, 0, -257252, 0, -5526, 0, 139040, 0, -30720, 0, 61950, 0, 33920, 0, 5880, 0, 6822, 0, 19744, 0, -206080, 0, 37232, 0, -104284, 0, -48820, 0, 17080, 0, -2376, 0, 158980, 0, -80314, 0, -61958, 0, -242944, 0, -32328, 0, -10654, 0, 61320, 0, 29512, 0, 8368, 0, -109600, 0, -56364, 0, -124288, 0, -128772, 0, 29696, 0, -19864, 0, 241980, 0, -11700, 0, -31776, 0, 145120, 0, 31738, 0, -90720, 0, -72680, 0, -110748, 0, 57096, 0, -174560, 0, 25770, 0, 33838, 0, 6560, 0, -16992, 0, 73050, 0, -50808, 0, 11040, 0, 67246, 0, 14560, 0, -37818, 0, 8128, 0, -39680, 0, 36648, 0, 92784, 0, -97528, 0, 294, 0, -126608, 0, 230400, 0, 24192, 0, -155590, 0, -182140, 0, 164736, 0, 10843, 0, -160369, 0, 127184, 0, 44296, 0, -302520, 0, 8424, 0, -8320, 0, -14980, 0, -134560, 0, 6672, 0, -94170, 0, -22160, 0, 24960, 0, 108360, 0, -32592, 0, -71582, 0, 133280, 0, -15602, 0, -27776, 0, -403252, 0, 130488, 0, 15344, 0, 54000, 0, 127142, 0, -34684, 0, -95780, 0, 32330, 0, 119952, 0, -128800, 0, 71338, 0, -63464, 0, -90080, 0, -68192, 0, 178682, 0, -3480, 0, 5376, 0, -75504, 0, 460922, 0, 131658, 0, -120000, 0, -124420, 0, -44400, 0, -20384, 0, 6760, 0, -152768, 0, 24794, 0, -231264, 0, -9796, 0, 3936, 0, 100240, 0, 131120, 0, 86304, 0, 251740, 0, -68286, 0, 34834, 0, -430560, 0, -32256, 0, -115646, 0, -161280, 0, -131088, 0, 59080, 0, 38400, 0, -46748, 0, -50666, 0, -289080, 0, -32762, 0, -24000, 0, 341880, 0, 22272, 0, -112642, 0, -53480, 0, 103408, 0, 94480, 0, -512314, 0, -51216, 0, 2700, 0, -37820, 0, -7672, 0, 40240, 0, -52040, 0, 7124, 0, 13312, 0, 302680, 0, -41440, 0, 26726, 0, 241280, 0, -3264, 0, -51000, 0, 328800, 0, -112896, 0, 11702, 0, 28616, 0, -19168, 0, 52993, 0, 190400, 0, 17470, 0, 115616, 0, 39120, 0, 13986, 0, -67358, 0, -22776, 0, 23790, 0, -105212, 0, -160080, 0, -13696, 0, -17360, 0, -215520, 0, 2374, 0, 39300, 0, -243800, 0, -62606, 0, 82064, 0, 22680, 0, 41712, 0, 93932, 0, 99600, 0, 1920, 0, -14976, 0, 174762, 0, -10556, 0, -39816, 0, -211840, 0, 48854, 0, -44970, 0, -123780, 0, 115954, 0, 5124, 0, -186880, 0, -187200, 0, 177674, 0, 346700, 0, -43984, 0, 36340, 0, -93380, 0, -58032, 0, 161818, 0, -213440, 0, 80166, 0, -6994, 0, -32880, 0, -19404, 0, 130528, 0, -108980, 0, -67116, 0, 72384, 0, -201918, 0, 71552, 0, -55552, 0, 258080, 0, -140960, 0, 91648, 0, -153720, 0, -27216, 0, -96628, 0, 13286, 0, 146454, 0, 75376, 0, -1560, 0, -193920, 0, -84524, 0, -179200, 0, -26656, 0, 58168, 0, 162998, 0, -50808, 0, 3312, 0, 44480, 0, -211776, 0, -19362, 0, 210540, 0, 65308, 0, -133120, 0, 581664, 0, -48896, 0, 44410, 0, -125860, 0, 38688, 0, -7222, 0, 69120, 0, -83622, 0, -70524, 0, 262800, 0, -70560, 0, -93190, 0, 242760, 0, 229298, 0, 110560, 0, 229680, 0, 13180, 0, 2401, 0, -179400, 0, -2496, 0, -32860, 0, -63200, 0, 189630, 0, 9984, 0, 35840, 0, -90574, 0, -1644, 0, 211700, 0, -84976, 0, -13054, 0, 215260, 0, 58464, 0, -27840, 0, 128060, 0, -106112, 0, 119690, 0, 192720, 0, 173570, 0, -41468, 0, 26240, 0, -139424, 0, -235872, 0, 108160, 0, -53440, 0, 47520, 0, -38640, 0, 238156, 0, 20736, 0, -132140, 0, -28768, 0, -225754, 0, 322480, 0, -15582, 0, 116102, 0, -178120, 0, 27252, 0, -12376, 0, 143160, 0, -36000, 0, 25088, 0, -251680, 0, -47164, 0, -178200, 0, 111106, 0, 66016, 0, -51600, 0, -28420, 0, 3456, 0, -98736, 0, -341440, 0, -85376, 0, 39336, 0, 662508, 0, -27160, 0, 37632, 0, 93560, 0, -220960, 0, -164906, 0, -205450, 0, 87352, 0, 43281, 0, -330982, 0, -136940, 0, 156252, 0, -164240, 0, 113984, 0, -53398, 0, -18830, 0, 146448, 0, 86304, 0, -352882, 0, -40054, 0, -243368, 0, 16640, 0, 8848, 0, -30094, 0, -23720, 0, 28344, 0, 252560, 0, -95680, 0, 153584, 0, 18088, 0, 116940, 0, -133560, 0, -46604, 0, 205060, 0, 28374, 0, -24180, 0, -3066, 0, -126720, 0, -12432, 0, -281360, 0, 255416, 0, 78682, 0, 278080, 0, 22050, 0, -115072, 0, -113077, 0, -43316, 0, -116688, 0, -374400, 0, -82762, 0, 73738, 0, 57120, 0, -208, 0, -141106, 0, 98440, 0, 15780, 0, -239616, 0, 104160, 0, 11648, 0, -158400, 0, 370700, 0, 39766, 0, -116928, 0, 339888, 0, -5208, 0, 29276, 0, -61980, 0, -64568, 0, -131432, 0, 318760, 0, -280720, 0, -31304, 0, -160016, 0, 152274, 0, -90214, 0, -1320, 0, -43592, 0, 576, 0, 26880, 0, -32248, 0, -83560, 0, 554800, 0, 19764, 0, 254216, 0, 102960, 0, -17276, 0, -206860, 0, -181440, 0, -6316, 0, 48350, 0, -56064, 0, 30648, 0, 15680, 0, 156240, 0, -27764, 0, 4108, 0, -261000, 0, -89712, 0, -21614, 0, 212576, 0, 253144, 0, 127218, 0, 22080, 0, -12480, 0, 152044, 0, -382440, 0, -7322, 0, -81374, 0, -658720, 0, 119126, 0, 20268, 0, -70080, 0, 43392, 0, -25984, 0, -212000, 0, 169702, 0, -42288, 0, 336384, 0, 2856, 0, -128048, 0, -126980, 0, -26190, 0, -12896, 0, 366640, 0, -98280, 0, 95760, 0, 528374, 0, 52416, 0, -101072, 0, -53760, 0, -19024, 0, 108504, 0, 15860, 0, 178798, 0, 14868, 0, 351440, 0, -17216, 0, 140944, 0, 455100, 0, 207660, 0, -40516, 0, -12740, 0, -39936, 0, -293446, 0, 80008, 0, 8766, 0, 258898, 0, -185600, 0, -81186, 0, 53623, 0, -38380, 0, 13268, 0, 28496, 0, -278714, 0, -114326, 0, -21168, 0, 168320, 0, -109678, 0, -110640, 0, -3840, 0, 70044, 0, -29510, 0, -147224, 0, 200638, 0, 247544, 0, 409280, 0, -140216, 0, 22704, 0, -18960, 0, 7280, 0, -179124, 0, -145854, 0, 2880, 0, 94874, 0, -240700, 0, -548, 0, 19390, 0, -240000, 0, -228096, 0, 68848, 0, 181040, 0, 119074, 0, 95232, 0, -116620, 0, -57832, 0, -198016, 0, 337130, 0, 176144, 0, -161396, 0, -149040, 0, -13426, 0, 318720, 0, 262240, 0, -227658, 0, -16032, 0, -171520, 0, 107968, 0, 29680, 0, 110084, 0, -86906, 0, -2688, 0, 329100, 0, 144000, 0, -256688, 0, 78820, 0, 24576, 0, 24336, 0, -53436, 0, -152944, 0, -88784, 0, -68220, 0, 66066, 0, -11632, 0, -156000, 0, 312450, 0, -201608, 0, 613640, 0, -52416, 0, 38850, 0, -484200, 0, -15480, 0, -310426, 0, 188960, 0, 74120, 0, 116000, 0, 202356, 0, 33440, 0, 110544, 0, 266240, 0, -276966, 0, -209406, 0, -492160, 0, -24766, 0, -66288, 0, 579328, 0, 105600, 0, -14456, 0, -82880, 0, 47368, 0, 28224, 0, -352640, 0, -948, 0, 53568, 0, -68354, 0, -14428, 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, 10, 0, 8, 0, -7, 0, 73, 0, 40, 0, 12, 0, 80, 0, -58, 0, -26, 0, -70, 0, -64, 0, -61, 0, 460, 0, 62, 0, 252, 0, 400, 0, -56, 0, -26, 0, 120, 0, 6, 0, -416, 0, 584, 0, -396, 0, 49, 0, -580, 0, 450, 0, 320, 0, -260, 0, -274, 0, 576, 0, -511, 0, 96, 0, 476, 0, -640, 0, -448, 0, -158, 0, -610, 0, -280, 0, -936, 0, 2629, 0, -530, 0, -464, 0, 620, 0, -390, 0, -84, 0, 2520, 0, -208, 0, 214, 0, 2920, 0, -1432, 0, 764, 0, -560, 0, -324, 0, 1334, 0, -260, 0, 1798, 0, -512, 0, 876, 0, 406, 0, 269, 0, 60, 0, -1488, 0, -384, 0, -4160, 0, 1814, 0, 182, 0, 3680, 0, 1666, 0, -1126, 0, -3960, 0, 480, 0, 496, 0, 490, 0, -2694, 0, -2648, 0, -4234, 0, 2016, 0, 556, 0, 4500, 0, 448, 0, 328, 0, 3200, 0, -4268, 0, -2053, 0, -1898, 0, 3476, 0, 427, 0, -2740, 0, -2268, 0, 276, 0, 5760, 0, -208, 0, -2320, 0, -3220, 0, -3000, 0, 3278, 0, 960, 0, 2362, 0, -1036, 0, 4760, 0, -434, 0, 48, 0, -4672, 0, -1040, 0, -3524, 0, -4480, 0, -3328, 0, -1764, 0, -1580, 0, -696, 0, -1336, 0, -4453, 0, -1290, 0, -5524, 0, -2800, 0, 6314, 0, -3168, 0, -9360, 0, -3960, 0, -7018, 0, 13870, 0, 392, 0, -312, 0, -5300, 0, 2394, 0, -2560, 0, -4640, 0, -2766, 0, 182, 0, 4526, 0, 7968, 0, 3600, 0, -3900, 0, 2900, 0, 2640, 0, -840, 0, -2440, 0, 1522, 0, 18396, 0, -4534, 0, -4834, 0, -2080, 0, -42, 0, -1549, 0, 2140, 0, 4656, 0, -2192, 0, 18400, 0, -768, 0, 2912, 0, -14320, 0, 4608, 0, 7238, 0, 7640, 0, 1096, 0, -3818, 0, -4088, 0, -1998, 0, 2480, 0, -3240, 0, 1508, 0, -732, 0, 13340, 0, 2772, 0, 7936, 0, -1898, 0, 3808, 0, 2766, 0, 17980, 0, 10080, 0, -343, 0, -5120, 0, -8352, 0, 5924, 0, 5520, 0, 2226, 0, -3584, 0, 4060, 0, 3880, 0, -6183, 0, 2690, 0, -1264, 0, -2584, 0, 438, 0, -3150, 0, -10534, 0, -14880, 0, 744, 0, 4472, 0, -3840, 0, 2468, 0, -2240, 0, -30368, 0, 1046, 0, 3712, 0, 18140, 0, -7488, 0, -2124, 0, 1820, 0, 11598, 0, 3024, 0, 21032, 0, -1040, 0, -2770, 0, 16660, 0, 1918, 0, -4240, 0, -11260, 0, -9438, 0, -5550, 0, -28908, 0, 3538, 0, -4032, 0, 4800, 0, -3000, 0, 12926, 0, 4960, 0, 1664, 0, -408, 0, 3577, 0, 14452, 0, -3120, 0, -26940, 0, 10258, 0, 240, 0, -26480, 0, -672, 0, -5498, 0, -26680, 0, 16316, 0, 8944, 0, 20160, 0, 9422, 0, -3332, 0, 5560, 0, -16640, 0, 1586, 0, 32850, 0, 13820, 0, -312, 0, 4480, 0, 1712, 0, -13264, 0, 3280, 0, 5940, 0, -3596, 0, 23360, 0, 3136, 0, 8252, 0, -42680, 0, 4704, 0, -11456, 0, -20530, 0, 10788, 0, 1106, 0, -11960, 0, 6112, 0, -15840, 0, 34760, 0, -14586, 0, -26, 0, 4270, 0, -14616, 0, -8071, 0, -20002, 0, 72, 0, -2592, 0, -22680, 0, 1960, 0, -11214, 0, 2760, 0, 10672, 0, 5424, 0, 42048, 0, -1612, 0, 6552, 0, -2080, 0, 17618, 0, -4992, 0, -23200, 0, 3562, 0, 14384, 0, -18403, 0, 2838, 0, 360, 0, -30000, 0, 3904, 0, 22018, 0, 32780, 0, 3710, 0, 18000, 0, 7008, 0, -1454, 0, -6552, 0, 23620, 0, 13818, 0, 3248, 0, -10360, 0, 6696, 0, 10010, 0, 34748, 0, 2152, 0, 2880, 0, -4340, 0, -4752, 0, -6522, 0, 480, 0, 6614, 0, -5266, 0, -29440, 0, 2730, 0, -4279, 0, -10400, 0, 1508, 0, 3344, 0, -35240, 0, -3072, 0, 588, 0, -32704, 0, -4882, 0, 15898, 0, -33280, 0, 6132, 0, -10960, 0, -17640, 0, 24198, 0, 14512, 0, -11534, 0, -17456, 0, 656, 0, -6960, 0, 1456, 0, -3968, 0, -13360, 0, 23040, 0, -18214, 0, -28060, 0, -30252, 0, -1498, 0, -12900, 0, 10836, 0, 13328, 0, -55240, 0, 5400, 0, -9578, 0, -20440, 0, -9008, 0, -348, 0, 63140, 0, -12442, 0, 676, 0, -31680, 0, 10024, 0, 25174, 0, -68328, 0, -16128, 0, 3840, 0, -39600, 0, 34188, 0, -5348, 0, -70180, 0, -3782, 0, -5204, 0, 67717, 0, 24128, 0, 32880, 0, 3920, 0, 19040, 0, 3912, 0, -3120, 0, -16008, 0, -21552, 0, -38690, 0, 2268, 0, 9960, 0, 23940, 0, -21184, 0, -12378, 0, -25600, 0, 34670, 0, -9338, 0, -33872, 0, -3288, 0, -10898, 0, -27660, 0, 25808, 0, -15372, 0, 1820, 0, -156, 0, -17920, 0, 28520, 0, 4448, 0, 21054, 0, 79680, 0, -12586, 0, 6912, 0, 36000, 0, 24276, 0, 22968, 0, -28470, 0, -6320, 0, 3584, 0, 29000, 0, 21526, 0, 12806, 0, 26400, 0, 2624, 0, 10816, 0, -6132, 0, -13214, 0, 32248, 0, -24400, 0, 14316, 0, -25168, 0, 15220, 0, -2842, 0, -34144, 0, 115920, 0, 9356, 0, -20545, 0, -45340, 0, -16424, 0, -1883, 0, -48340, 0, 1664, 0, -2372, 0, -15184, 0, 11694, 0, 20506, 0, -420, 0, -28136, 0, 27808, 0, -15490, 0, -37440, 0, 5712, 0, 15622, 0, 10416, 0, 37070, 0, 46560, 0, -6198, 0, 31876, 0, -21920, 0, -132, 0, 2688, 0, 105160, 0, 10296, 0, -18144, 0, -7680, 0, 15624, 0, -26100, 0, 29120, 0, 2208, 0, -38244, 0, -104536, 0, -7008, 0, -21200, 0, 46080, 0, -12698, 0, 36664, 0, 72380, 0, -5376, 0, 1586, 0, 55772, 0, 45510, 0, -1274, 0, 10960, 0, -18560, 0, -3838, 0, -38180, 0, 16832, 0, -384, 0, -25760, 0, 40928, 0, -1896, 0, -19980, 0, -24070, 0, -24000, 0, 24800, 0, -11662, 0, 33713, 0, -23652, 0, 26224, 0, -17152, 0, 15080, 0, 32910, 0, 7882, 0, -7320, 0, -6822, 0, -15600, 0, 97382, 0, -48420, 0, 18896, 0, 27720, 0, 26624, 0, -49216, 0, 79360, 0, -8288, 0, -35264, 0, -11960, 0, -3360, 0, 15892, 0, 38080, 0, -11700, 0, -52930, 0, 27660, 0, 10860, 0, -3472, 0, 131254, 0, -20284, 0, -29716, 0, 100800, 0, -366, 0, -11232, 0, -3430, 0, 5088, 0, -19830, 0, -37376, 0, -33408, 0, -66276, 0, -83520, 0, 18858, 0, -8320, 0, 59240, 0, -14078, 0, -53988, 0, 31548, 0, -28192, 0, 18536, 0, 22260, 0, 24166, 0, 2672, 0, -35840, 0, 8560, 0, 16672, 0, 29638, 0, -1612, 0, 25376, 0, 38800, 0, -6360, 0, 25344, 0, -61830, 0, -14112, 0, 6456, 0, 19637, 0, -70838, 0, -26050, 0, -12640, 0, 45082, 0, -3892, 0, -25840, 0, -19904, 0, -5568, 0, 2760, 0, -64092, 0, -57280, 0, -31500, 0, -10688, 0, -24870, 0, -105340, 0, 7124, 0, -34922, 0, -108624, 0, -3136, 0, -50910, 0, 7440, 0, 30560, 0, -10320, 0, 44720, 0, -27608, 0, -2296, 0, -28032, 0, -44192, 0, -6552, 0, 24680, 0, 61428, 0, 39394, 0, -22400, 0, -4680, 0, -14976, 0, -191360, 0, 15012, 0, 50512, 0, 10460, 0, 29876, 0, -25756, 0, 37120, 0, 24156, 0, -12960, 0, 132422, 0, 49324, 0, 14371, 0, -74880, 0, -51324, 0, 372, 0, -21240, 0, 2690, 0, -31680, 0, 13286, 0, 53360, 0, 8654, 0, 115980, 0, -56144, 0, 25984, 0, 30240, 0, -24332, 0, 68702, 0, 110960, 0, 25146, 0, -28800, 0, -10400, 0, -47544, 0, -2989, 0, -27700, 0, -6726, 0, 68196, 0, 121618, 0, -2496, 0, 50704, 0, 19180, 0, 9164, 0, 71920, 0, -42400, 0, -25792, 0, -9030, 0, -82198, 0, 15876, 0, 19152, 0, -94380, 0, -44010, 0, 2568, 0, -55500, 0, -20480, 0, -1932, 0, -182160, 0, 1512, 0, -12376, 0, 35380, 0, -31344, 0, -17356, 0, -40320, 0, -25320, 0, -22128, 0, 35040, 0, -48306, 0, 38434, 0, -30000, 0, 1456, 0, -9538, 0, 129260, 0, 75224, 0, 56232, 0, 36208, 0, 34526, 0, 16240, 0, 16640, 0, -17184, 0, 63744, 0, -4080, 0, 31080, 0, -45442, 0, 22540, 0, -27450, 0, -56432, 0, 144520, 0, -42480, 0, -104832, 0, -31200, 0, 21000, 0, 9168, 0, -196662, 0, 54288, 0, 23200, 0, 102580, 0, 11648, 0, -22946, 0, 2400, 0, 21120, 0, 17536, 0, -193304, 0, -71602, 0, -24552, 0, -6720, 0, -59992, 0, -49977, 0, -54980, 0, 1942, 0, -59520, 0, -152482, 0, -16534, 0, 20702, 0, 163160, 0, 12176, 0, 4108, 0, 89440, 0, -3888, 0, 7252, 0, 147168, 0, -15360, 0, 4024, 0, 94220, 0, -36864, 0, -36272, 0, -33320, 0, -16302, 0, 30740, 0, 40588, 0, -38672, 0, 16008, 0, -166400, 0, 3038, 0, -21848, 0, 15860, 0, 15942, 0, 25678, 0, 207000, 0, -79414, 0, -336, 0, 138200, 0, 66472, 0, 72560, 0, -3120, 0, -12392, 0, 77760, 0, 32704, 0, -52872, 0, -47706, 0, 17120, 0, -99792, 0, -92926, 0, -132640, 0, 7280, 0, 37248, 0, 23944, 0, 21576, 0, 55312, 0, 59400, 0, 16714, 0, 24668, 0, -35960, 0, -19254, 0, -19946, 0, 147200, 0, 28128, 0, 83014, 0, 31360, 0, 6090, 0, -6144, 0, 82520, 0, 37908, 0, 24336, 0, -311564, 0, 23296, 0, 66640, 0, 47040, 0, -65696, 0, 22620, 0, -114560, 0, -156, 0, 12348, 0, -149869, 0, -95072, 0, -35136, 0, 107880, 0, -45040, 0, 28870, 0, 11060, 0, 57904, 0, 27900, 0, -68354, 0, -30464, 0, -49024, 0, 61120, 0, 4872, 0, -52230, 0, -158400, 0, -35926, 0, 8768, 0, 253748, 0, -58092, 0, 9352, 0, -145860, 0, -30544, 0, -89424, 0, -260, 0, 73222, 0, 3228, 0, 31171, 0, 13780, 0, -80240, 0, -146160, 0, -33552, 0, -15984, 0, -80710, 0, 9030, 0, 10816, 0, -126040, 0, 19840, 0, -51886, 0, 720, 0, -56670, 0, 38668, 0, -25920, 0, 36240, 0, 30394, 0, -165564, 0, -27440, 0, 12064, 0, 19600, 0, 34036, 0, 30430, 0, -112140, 0, -17856, 0, 53874, 0, 20148, 0, -44198, 0, 28672, 0, 106720, 0, 67016, 0, -107760, 0, 54240, 0, 113400, 0, 22176, 0, 264960, 0, -12412, 0, -4608, 0, -16120, 0, 63488, 0, 55934, 0, 65520, 0, -105920, 0, 43000, 0, -15184, 0, 15656, 0, 120584, 0, 176180, 0, 27720, 0, -29036, 0, -49920, 0, 10112, 0, -68885, 0, -169360, 0, 22128, 0, 49126, 0, 35620, 0, 10140, 0, 63632, 0, 143840, 0, 34134, 0, -41038, 0, -97090, 0, 21768, 0, 80640, 0, 28380, 0, 26946, 0, -16988, 0, 3600, 0, -2744, 0, 83056, 0, -219000, 0, -58310, 0, -22228, 0, 39040, 0, 22240, 0, 2184, 0, 220180, 0, -139986, 0, -66816, 0, 239294, 0, 10296, 0, 14388, 0, 37100, 0, 47392, 0, 39616, 0, 180000, 0, -44312, 0, -107886, 0, 44160, 0, -16758, 0, -82576, 0, -14540, 0, -2496, 0, 17808, 0, -65520, 0, 35712, 0, 17920, 0, 172426, 0, 27328, 0, 119698, 0, 138180, 0, 19992, 0, 139728, 0, 32480, 0, 115648, 0, 80706, 0, -75628, 0, 13120, 0, 31040, 0, 66960, 0, 19362, 0, 103630, 0, 100100, 0, -49464, 0, -13512, 0, 218960, 0, -68418, 0, -1274, 0, 21520, 0, 59904, 0, 18792, 0, 28800, 0, 100968, 0, 9638, 0, -31682, 0, -69048, 0, 106296, 0, -47520, 0, -20672, 0, -170720, 0, -65220, 0, -55776, 0, -5564, 0, 3504, 0, -55380, 0, 93549, 0, 66140, 0, -77372, 0, -25200, 0, -52660, 0, -82120, 0, 116416, 0, -168256, 0, -84272, 0, 15414, 0, 27300, 0, 79424, 0, -141726, 0, -42790, 0, -111494, 0, 115148, 0, -75920, 0, -20300, 0, 5952, 0, 15080, 0, -21870, 0, 145152, 0, 33440, 0, 35776, 0, -18480, 0, -257252, 0, -5526, 0, 139040, 0, -30720, 0, 61950, 0, 33920, 0, 5880, 0, 6822, 0, 19744, 0, -206080, 0, 37232, 0, -104284, 0, -48820, 0, 17080, 0, -2376, 0, 158980, 0, -80314, 0, -61958, 0, -242944, 0, -32328, 0, -10654, 0, 61320, 0, 29512, 0, 8368, 0, -109600, 0, -56364, 0, -124288, 0, -128772, 0, 29696, 0, -19864, 0, 241980, 0, -11700, 0, -31776, 0, 145120, 0, 31738, 0, -90720, 0, -72680, 0, -110748, 0, 57096, 0, -174560, 0, 25770, 0, 33838, 0, 6560, 0, -16992, 0, 73050, 0, -50808, 0, 11040, 0, 67246, 0, 14560, 0, -37818, 0, 8128, 0, -39680, 0, 36648, 0, 92784, 0, -97528, 0, 294, 0, -126608, 0, 230400, 0, 24192, 0, -155590, 0, -182140, 0, 164736, 0, 10843, 0, -160369, 0, 127184, 0, 44296, 0, -302520, 0, 8424, 0, -8320, 0, -14980, 0, -134560, 0, 6672, 0, -94170, 0, -22160, 0, 24960, 0, 108360, 0, -32592, 0, -71582, 0, 133280, 0, -15602, 0, -27776, 0, -403252, 0, 130488, 0, 15344, 0, 54000, 0, 127142, 0, -34684, 0, -95780, 0, 32330, 0, 119952, 0, -128800, 0, 71338, 0, -63464, 0, -90080, 0, -68192, 0, 178682, 0, -3480, 0, 5376, 0, -75504, 0, 460922, 0, 131658, 0, -120000, 0, -124420, 0, -44400, 0, -20384, 0, 6760, 0, -152768, 0, 24794, 0, -231264, 0, -9796, 0, 3936, 0, 100240, 0, 131120, 0, 86304, 0, 251740, 0, -68286, 0, 34834, 0, -430560, 0, -32256, 0, -115646, 0, -161280, 0, -131088, 0, 59080, 0, 38400, 0, -46748, 0, -50666, 0, -289080, 0, -32762, 0, -24000, 0, 341880, 0, 22272, 0, -112642, 0, -53480, 0, 103408, 0, 94480, 0, -512314, 0, -51216, 0, 2700, 0, -37820, 0, -7672, 0, 40240, 0, -52040, 0, 7124, 0, 13312, 0, 302680, 0, -41440, 0, 26726, 0, 241280, 0, -3264, 0, -51000, 0, 328800, 0, -112896, 0, 11702, 0, 28616, 0, -19168, 0, 52993, 0, 190400, 0, 17470, 0, 115616, 0, 39120, 0, 13986, 0, -67358, 0, -22776, 0, 23790, 0, -105212, 0, -160080, 0, -13696, 0, -17360, 0, -215520, 0, 2374, 0, 39300, 0, -243800, 0, -62606, 0, 82064, 0, 22680, 0, 41712, 0, 93932, 0, 99600, 0, 1920, 0, -14976, 0, 174762, 0, -10556, 0, -39816, 0, -211840, 0, 48854, 0, -44970, 0, -123780, 0, 115954, 0, 5124, 0, -186880, 0, -187200, 0, 177674, 0, 346700, 0, -43984, 0, 36340, 0, -93380, 0, -58032, 0, 161818, 0, -213440, 0, 80166, 0, -6994, 0, -32880, 0, -19404, 0, 130528, 0, -108980, 0, -67116, 0, 72384, 0, -201918, 0, 71552, 0, -55552, 0, 258080, 0, -140960, 0, 91648, 0, -153720, 0, -27216, 0, -96628, 0, 13286, 0, 146454, 0, 75376, 0, -1560, 0, -193920, 0, -84524, 0, -179200, 0, -26656, 0, 58168, 0, 162998, 0, -50808, 0, 3312, 0, 44480, 0, -211776, 0, -19362, 0, 210540, 0, 65308, 0, -133120, 0, 581664, 0, -48896, 0, 44410, 0, -125860, 0, 38688, 0, -7222, 0, 69120, 0, -83622, 0, -70524, 0, 262800, 0, -70560, 0, -93190, 0, 242760, 0, 229298, 0, 110560, 0, 229680, 0, 13180, 0, 2401, 0, -179400, 0, -2496, 0, -32860, 0, -63200, 0, 189630, 0, 9984, 0, 35840, 0, -90574, 0, -1644, 0, 211700, 0, -84976, 0, -13054, 0, 215260, 0, 58464, 0, -27840, 0, 128060, 0, -106112, 0, 119690, 0, 192720, 0, 173570, 0, -41468, 0, 26240, 0, -139424, 0, -235872, 0, 108160, 0, -53440, 0, 47520, 0, -38640, 0, 238156, 0, 20736, 0, -132140, 0, -28768, 0, -225754, 0, 322480, 0, -15582, 0, 116102, 0, -178120, 0, 27252, 0, -12376, 0, 143160, 0, -36000, 0, 25088, 0, -251680, 0, -47164, 0, -178200, 0, 111106, 0, 66016, 0, -51600, 0, -28420, 0, 3456, 0, -98736, 0, -341440, 0, -85376, 0, 39336, 0, 662508, 0, -27160, 0, 37632, 0, 93560, 0, -220960, 0, -164906, 0, -205450, 0, 87352, 0, 43281, 0, -330982, 0, -136940, 0, 156252, 0, -164240, 0, 113984, 0, -53398, 0, -18830, 0, 146448, 0, 86304, 0, -352882, 0, -40054, 0, -243368, 0, 16640, 0, 8848, 0, -30094, 0, -23720, 0, 28344, 0, 252560, 0, -95680, 0, 153584, 0, 18088, 0, 116940, 0, -133560, 0, -46604, 0, 205060, 0, 28374, 0, -24180, 0, -3066, 0, -126720, 0, -12432, 0, -281360, 0, 255416, 0, 78682, 0, 278080, 0, 22050, 0, -115072, 0, -113077, 0, -43316, 0, -116688, 0, -374400, 0, -82762, 0, 73738, 0, 57120, 0, -208, 0, -141106, 0, 98440, 0, 15780, 0, -239616, 0, 104160, 0, 11648, 0, -158400, 0, 370700, 0, 39766, 0, -116928, 0, 339888, 0, -5208, 0, 29276, 0, -61980, 0, -64568, 0, -131432, 0, 318760, 0, -280720, 0, -31304, 0, -160016, 0, 152274, 0, -90214, 0, -1320, 0, -43592, 0, 576, 0, 26880, 0, -32248, 0, -83560, 0, 554800, 0, 19764, 0, 254216, 0, 102960, 0, -17276, 0, -206860, 0, -181440, 0, -6316, 0, 48350, 0, -56064, 0, 30648, 0, 15680, 0, 156240, 0, -27764, 0, 4108, 0, -261000, 0, -89712, 0, -21614, 0, 212576, 0, 253144, 0, 127218, 0, 22080, 0, -12480, 0, 152044, 0, -382440, 0, -7322, 0, -81374, 0, -658720, 0, 119126, 0, 20268, 0, -70080, 0, 43392, 0, -25984, 0, -212000, 0, 169702, 0, -42288, 0, 336384, 0, 2856, 0, -128048, 0, -126980, 0, -26190, 0, -12896, 0, 366640, 0, -98280, 0, 95760, 0, 528374, 0, 52416, 0, -101072, 0, -53760, 0, -19024, 0, 108504, 0, 15860, 0, 178798, 0, 14868, 0, 351440, 0, -17216, 0, 140944, 0, 455100, 0, 207660, 0, -40516, 0, -12740, 0, -39936, 0, -293446, 0, 80008, 0, 8766, 0, 258898, 0, -185600, 0, -81186, 0, 53623, 0, -38380, 0, 13268, 0, 28496, 0, -278714, 0, -114326, 0, -21168, 0, 168320, 0, -109678, 0, -110640, 0, -3840, 0, 70044, 0, -29510, 0, -147224, 0, 200638, 0, 247544, 0, 409280, 0, -140216, 0, 22704, 0, -18960, 0, 7280, 0, -179124, 0, -145854, 0, 2880, 0, 94874, 0, -240700, 0, -548, 0, 19390, 0, -240000, 0, -228096, 0, 68848, 0, 181040, 0, 119074, 0, 95232, 0, -116620, 0, -57832, 0, -198016, 0, 337130, 0, 176144, 0, -161396, 0, -149040, 0, -13426, 0, 318720, 0, 262240, 0, -227658, 0, -16032, 0, -171520, 0, 107968, 0, 29680, 0, 110084, 0, -86906, 0, -2688, 0, 329100, 0, 144000, 0, -256688, 0, 78820, 0, 24576, 0, 24336, 0, -53436, 0, -152944, 0, -88784, 0, -68220, 0, 66066, 0, -11632, 0, -156000, 0, 312450, 0, -201608, 0, 613640, 0, -52416, 0, 38850, 0, -484200, 0, -15480, 0, -310426, 0, 188960, 0, 74120, 0, 116000, 0, 202356, 0, 33440, 0, 110544, 0, 266240, 0, -276966, 0, -209406, 0, -492160, 0, -24766, 0, -66288, 0, 579328, 0, 105600, 0, -14456, 0, -82880, 0, 47368, 0, 28224, 0, -352640, 0, -948, 0, 53568, 0, -68354, 0, -14428, 0]}