# Stored data for newform 1200.4.a.bd, downloaded from the LMFDB on 10 November 2024. {"Nk2": 19200, "analytic_conductor": 70.80229200688873, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, 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": [1200, 1, [751, 901, 401, 577], [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": [[7, [-5, 1]], [11, [14, 1]]], "hecke_orbit": 30, "hecke_orbit_code": 130604389260854448, "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": "1200.4.a.bd", "level": 1200, "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, 5], "level_radical": 30, "minimal_twist": "600.4.a.e", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+3q^{3}+5q^{7}+9q^{9}-14q^{11}-q^{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": "1200.4.a", "trace_display": [0, 3, 0, 5], "trace_hash": 97499244769249396, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.994", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.992", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.979", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "traces": [0, 1, 0, 3, 0, 0, 0, 5, 0, 9, 0, -14, 0, -1, 0, 0, 0, -46, 0, -19, 0, 15, 0, -46, 0, 0, 0, 27, 0, 14, 0, -133, 0, -42, 0, 0, 0, -258, 0, -3, 0, 84, 0, -167, 0, 0, 0, 410, 0, -318, 0, -138, 0, -456, 0, 0, 0, -57, 0, 194, 0, -17, 0, 45, 0, 0, 0, 653, 0, -138, 0, -828, 0, -570, 0, 0, 0, -70, 0, 552, 0, 81, 0, 142, 0, 0, 0, 42, 0, -1104, 0, -5, 0, -399, 0, 0, 0, -841, 0, -126, 0, 552, 0, -308, 0, 0, 0, 984, 0, -1843, 0, -774, 0, -876, 0, 0, 0, -9, 0, -230, 0, -1135, 0, 252, 0, 0, 0, 2376, 0, -501, 0, -1056, 0, -95, 0, 0, 0, 778, 0, -1692, 0, 1230, 0, 14, 0, 0, 0, -954, 0, -494, 0, 841, 0, -414, 0, 0, 0, -19, 0, -1368, 0, -230, 0, -2261, 0, 0, 0, 2112, 0, -2196, 0, -171, 0, -562, 0, 0, 0, 582, 0, -3718, 0, -1639, 0, -51, 0, 0, 0, 644, 0, 135, 0, -2410, 0, 2621, 0, 0, 0, 4954, 0, -1739, 0, 1959, 0, 70, 0, 0, 0, -414, 0, 266, 0, 4525, 0, -2484, 0, 0, 0, -665, 0, -1710, 0, 46, 0, -3211, 0, 0, 0, -2484, 0, -1847, 0, -210, 0, 1020, 0, 0, 0, 1656, 0, -1176, 0, -6967, 0, 243, 0, 0, 0, 19, 0, 426, 0, -1380, 0, 644, 0, 0, 0, 6924, 0, -1290, 0, 126, 0, 1884, 0, 0, 0, -3312, 0, 3610, 0, 6072, 0, -15, 0, 0, 0, 2803, 0, -1197, 0, -6694, 0, -6481, 0, 0, 0, 420, 0, -2797, 0, -2523, 0, -3014, 0, 0, 0, -378, 0, 46, 0, -835, 0, 1656, 0, 0, 0, -5369, 0, -924, 0, -4846, 0, 757, 0, 0, 0, 7632, 0, -196, 0, 2952, 0, 874, 0, 0, 0, -5529, 0, 2050, 0, 6780, 0, -2322, 0, 0, 0, -7849, 0, -2628, 0, 1862, 0, -3305, 0, 0, 0, 634, 0, 930, 0, -27, 0, 4286, 0, 0, 0, -690, 0, 4236, 0, -6498, 0, -3405, 0, 0, 0, 1451, 0, 756, 0, -2280, 0, -3115, 0, 0, 0, -14, 0, 1415, 0, 7128, 0, -180, 0, 0, 0, -1503, 0, 12372, 0, 2116, 0, -3168, 0, 0, 0, -5767, 0, -285, 0, -3120, 0, 133, 0, 0, 0, 3612, 0, 1501, 0, 2334, 0, 970, 0, 0, 0, -5076, 0, 9072, 0, 7350, 0, 3690, 0, 0, 0, -85, 0, 42, 0, -5962, 0, 10093, 0, 0, 0, 874, 0, 2555, 0, -2862, 0, 6240, 0, 0, 0, -1482, 0, 3324, 0, -1176, 0, 2523, 0, 0, 0, -16774, 0, -1242, 0, 14304, 0, 6936, 0, 0, 0, 15622, 0, 3265, 0, -57, 0, 2338, 0, 0, 0, -4104, 0, 13354, 0, 258, 0, -690, 0, 0, 0, -461, 0, -6783, 0, -3768, 0, -644, 0, 0, 0, -4140, 0, 14317, 0, 6336, 0, 9228, 0, 0, 0, -6588, 0, 4574, 0, -2850, 0, -513, 0, 0, 0, -5740, 0, -1686, 0, -8494, 0, 8263, 0, 0, 0, 6118, 0, -10051, 0, 1746, 0, -84, 0, 0, 0, -11154, 0, 4452, 0, 21157, 0, -4917, 0, 0, 0, -4048, 0, -153, 0, -266, 0, 2760, 0, 0, 0, 6758, 0, 167, 0, 1932, 0, 24506, 0, 0, 0, 405, 0, -1430, 0, -3691, 0, -7230, 0, 0, 0, -4571, 0, 7863, 0, 710, 0, 6384, 0, 0, 0, 14808, 0, 2527, 0, 14862, 0, 24588, 0, 0, 0, -5217, 0, 27564, 0, 10987, 0, 5877, 0, 0, 0, -13200, 0, 210, 0, -410, 0, -21066, 0, 0, 0, -12336, 0, 1441, 0, -1242, 0, -5520, 0, 0, 0, 798, 0, 11868, 0, 9839, 0, 13575, 0, 0, 0, 318, 0, -7452, 0, -21564, 0, 8604, 0, 0, 0, 3444, 0, -2716, 0, -1995, 0, 3518, 0, 0, 0, -5130, 0, 12612, 0, 27090, 0, 138, 0, 0, 0, -644, 0, -9633, 0, 238, 0, 5442, 0, 0, 0, 15226, 0, -4205, 0, -7452, 0, -552, 0, 0, 0, -5541, 0, 456, 0, -9776, 0, -630, 0, 0, 0, -3864, 0, 3060, 0, 13066, 0, 4902, 0, 0, 0, 2760, 0, 28985, 0, 4968, 0, 6118, 0, 0, 0, -3528, 0, -15722, 0, -1540, 0, -20901, 0, 0, 0, -32611, 0, 729, 0, 7682, 0, -8358, 0, 0, 0, -9142, 0, -20604, 0, 57, 0, -19476, 0, 0, 0, 1278, 0, 4920, 0, -3864, 0, -4140, 0, 0, 0, 18871, 0, 1932, 0, -36372, 0, -9215, 0, 0, 0, -194, 0, 4603, 0, 20772, 0, 36, 0, 0, 0, -3870, 0, -1596, 0, 11592, 0, 378, 0, 0, 0, -20281, 0, 5652, 0, -4380, 0, 17, 0, 0, 0, 37524, 0, -18860, 0, -9936, 0, 7980, 0, 0, 0, 10830, 0, 31224, 0, -32579, 0, 18216, 0, 0, 0, 3173, 0, -45, 0, -19810, 0, 10273, 0, 0, 0, 16656, 0, -4790, 0, 8409, 0, 14628, 0, 0, 0, -3591, 0, -7414, 0, -24193, 0, -20082, 0, 0, 0, -5675, 0, -19443, 0, 11868, 0, -30155, 0, 0, 0, 8244, 0, -17552, 0, 1260, 0, -34104, 0, 0, 0, -8391, 0, -7728, 0, -653, 0, -7569, 0, 0, 0, 46229, 0, -9042, 0, -22440, 0, -17143, 0, 0, 0, -23626, 0, 11880, 0, -1134, 0, -7790, 0, 0, 0, 138, 0, -1862, 0, 20976, 0, -2505, 0, 0, 0, -11268, 0, 4968, 0, -10046, 0, -1988, 0, 0, 0, -5280, 0, -15359, 0, -16107, 0, 828, 0, 0, 0, -2772, 0, -39790, 0, 6042, 0, -14538, 0, 0, 0, 17009, 0, 2271, 0, -11674, 0, -3864, 0, 0, 0, 6026, 0, 570, 0, 22896, 0, 14088, 0, 0, 0, -588, 0, 3890, 0, -12102, 0, 8856, 0, 0, 0, -11208, 0, 2622, 0, 26054, 0, -8460, 0, 0, 0, 26870, 0, 15456, 0, -16587, 0, -23388, 0, 0, 0, 6150, 0, 7682, 0, -17345, 0, 20340, 0, 0, 0, 25998, 0, -6966, 0, 70, 0, -8924, 0, 0, 0, 8664, 0, -28099, 0, -23547, 0, -45850, 0, 0, 0, -7884, 0, -44854, 0, 31315, 0, 5586, 0, 0, 0, -552, 0, -9915, 0, 32210, 0, -28805, 0, 0, 0, 782, 0, -43475, 0, 1902, 0, -2470, 0, 0, 0, 2790, 0, -47736, 0, -35467, 0, -81, 0, 0, 0, 4205, 0, 12858, 0, 21130, 0, 32677, 0, 0, 0, 11774, 0, -15269, 0, -2070, 0, -3612, 0, 0, 0, 12708, 0, -142, 0, -18860, 0, -19494, 0, 0, 0, 50849, 0, -10215, 0, -408, 0, 6727, 0, 0, 0, -36938, 0, -95, 0, 4353, 0, 5986, 0, 0, 0, 2268, 0, -17882, 0, -7728, 0, -6840, 0, 0, 0, 535, 0, -9345, 0, -3686, 0, -16117, 0, 0, 0, 14628, 0, -31675, 0, -42, 0, 4312, 0, 0, 0, 4245, 0, -30038, 0, -11305, 0, 21384, 0, 0, 0, 34314, 0, -540, 0, -72350, 0, 21079, 0, 0, 0, 1104, 0, 323, 0, -4509, 0, 11796, 0, 0, 0, 37116, 0, 10560, 0, 26395, 0, 6348, 0, 0, 0, -13776, 0, -9504, 0, 14242, 0, -10980, 0, 0, 0, 22142, 0, 1176, 0, -17301, 0, -13006, 0, 0, 0, -855, 0, 25802, 0, 25326, 0, -9360, 0, 0, 0, 38088, 0, 399, 0, -2810, 0, 3378, 0, 0, 0, -23986, 0, 20976, 0, 10836, 0, -41822, 0, 0, 0, 4503, 0, -61908, 0, 4052, 0, 7002, 0, 0, 0, -58754, 0, 2910, 0, 26220, 0, 12264, 0, 0, 0, -2338, 0, -25614, 0, -15228, 0, -18590, 0, 0, 0, 27216, 0, -85020, 0, 841, 0, 22050, 0, 0, 0, -8195, 0, 11070, 0, -11172, 0, -12407, 0, 0, 0, -29758, 0, -14059, 0, -255, 0, 57014, 0, 0, 0, 126, 0, -10668, 0, -34589, 0, -17886, 0, 0, 0, -18979, 0, 30279, 0, 80122, 0, 16121, 0, 0, 0, 7236, 0, 3220, 0, 2622, 0, -552, 0, 0, 0, 7665, 0, 83398, 0, -46002, 0, -8586, 0, 0, 0, 88765, 0, 18720, 0, 34524, 0, 22211, 0, 0, 0, -12050, 0, 308, 0, -4446, 0, -25392, 0, 0, 0, 9972, 0, 15732, 0, 13105, 0, -3528, 0, 0, 0, -8924, 0, 7569, 0, 50158, 0, 5740, 0, 0, 0, -11892, 0, 15911, 0, -50322, 0, -17498, 0, 0, 0, -3726, 0, 24770, 0, -78235, 0, 42912, 0, 0, 0, 10830, 0, 20808, 0, -984, 0, -8695, 0, 0, 0, -33264, 0, 92345, 0, 46866, 0, 782, 0, 0, 0, 9795, 0, -20398, 0, -6532, 0, -171, 0, 0, 0, 1843, 0, 7014, 0, -4452, 0, -7824, 0, 0, 0, -91980, 0, -52325, 0, -12312, 0, -67078, 0, 0, 0, 40062, 0, -93562, 0, 14784, 0, 774, 0, 0, 0, 17339, 0, -2070, 0, 32738, 0, 35507, 0, 0, 0, -54530, 0, 63708, 0, -1383, 0, 1330, 0, 0, 0, -20349, 0, 876, 0, 39505, 0, -11304, 0, 0, 0, 22625, 0, -1932, 0, -24490, 0, -96300, 0, 0, 0, -94392, 0, 53130, 0, -12420, 0, 11760, 0, 0, 0, 42951, 0, 14950, 0, -10488, 0, 19008, 0, 0, 0, -10892, 0, 27684, 0, -83880, 0, 50784, 0, 0, 0, -21672, 0, 42294, 0, -19764, 0, 93518, 0, 0, 0, 13722, 0, 23688, 0, 107003, 0, -8550, 0, 0, 0, -6384, 0, -1539, 0, -30038, 0, 34843, 0, 0, 0, 230, 0, -761, 0, -17220, 0, -25846, 0, 0, 0, -5058, 0, 53570, 0, -16055, 0, -25482, 0, 0, 0, -9113, 0, 24789, 0, 72650, 0, 1135, 0, 0, 0, -2698, 0, 3707, 0, 18354, 0, -119882, 0, 0, 0, -30153, 0, -12420, 0, 43086, 0, 5238, 0, 0, 0, -15294, 0, -252, 0, 108110, 0, -9235, 0, 0, 0, -110556, 0, 106445, 0, -33462, 0, 63722, 0, 0, 0, 13356, 0, -77508, 0, -88387, 0, 63471, 0, 0, 0, 13692, 0, -14751, 0, 5100, 0, 38088, 0, 0, 0, -62784, 0, 6916, 0, -12144, 0, 60648, 0, 0, 0, -459, 0, 38686, 0, -2376, 0, -798, 0, 0, 0, 12786, 0, 8280, 0, -11774, 0, 12169, 0, 0, 0, -125390, 0, 44718, 0, 20274, 0, -5880, 0, 0, 0, 501, 0, 26220, 0, -61865, 0, 5796, 0, 0, 0, -34835, 0, 73518, 0, 20976, 0, 76117, 0, 0, 0, 89942, 0, 116336, 0, 1215, 0, 1056, 0, 0, 0, -4290, 0, 132242, 0, 2716, 0, -11073, 0, 0, 0, -25392, 0, -21690, 0, 90576, 0, -89412, 0, 0, 0, 266, 0, 95, 0, -13713, 0, -52034, 0, 0, 0, 23589, 0, -105780, 0, -87085, 0, 2130, 0, 0, 0, 24784, 0, 19152, 0, 14168, 0, 94806, 0, 0, 0, -6900, 0, -65225, 0, 44424, 0, -14028, 0, 0, 0, 7581, 0, -238, 0, 3220, 0, 44586, 0, 0, 0, 66727, 0, 73764, 0, -778, 0, 89297, 0, 0, 0, -53146, 0, 129083, 0, -15651, 0, 31654, 0, 0, 0, 82692, 0, 34620, 0, 55895, 0, 32961, 0, 0, 0, 1692, 0, 17631, 0, 80904, 0, 82044, 0, 0, 0, -25392, 0, -45264, 0, -39600, 0, -50100, 0, 0, 0, 630, 0, -25802, 0, 132384, 0, -1230, 0, 0, 0, -29568, 0, -63198, 0, 9420, 0, 15979, 0, 0, 0, -109394, 0, -51618, 0, -37008, 0, 84778, 0, 0, 0, 4323, 0, 30744, 0, -45833, 0, -3726, 0, 0, 0, -37649, 0, -16560, 0, 15094, 0, -22625, 0, 0, 0, -53196, 0, 62424, 0, 2394, 0, 18050, 0, 0, 0, 35604, 0, 112668, 0, 2261, 0, 29517, 0, 0, 0, 30360, 0, 40725, 0, 5354, 0, 7868, 0, 0, 0, 29916, 0, -6532, 0, 954, 0, -42804, 0, 0, 0, -22356, 0, -10488, 0, 40296, 0, -64692, 0, 0, 0, 34440, 0, 25812, 0, 80832, 0, -32719, 0, 0, 0, 494, 0, 14015, 0, 10332, 0, 9142, 0, 0, 0, -8148, 0, -158436, 0, -12605, 0, -5985, 0, 0, 0, 5852, 0, 10554, 0, 117648, 0, -841, 0, 0, 0, -33470, 0, 52052, 0, -15390, 0, 30492, 0, 0, 0, 37836, 0, -130262, 0, -32405, 0, 81270, 0, 0, 0, -76908, 0, 414, 0, 22946, 0, -80358, 0, 0, 0, -43476, 0, -37625, 0, -1932, 0, 171130, 0, 0, 0, -28899, 0, -26712, 0, -85524, 0, 714, 0, 0, 0, 20579, 0, 16326, 0, -68470, 0, -13985, 0, 0, 0, 132228, 0, -136331, 0, 45678, 0, -18696, 0, 0, 0, -12615, 0, 100416, 0, 19, 0, -22356, 0, 0, 0, 50784, 0, -1656, 0, -15070, 0, 139426, 0, 0, 0, 52210, 0, -11592, 0, -16623, 0, -118594, 0, 0, 0, 1368, 0, 30420, 0, 35017, 0, -29328, 0, 0, 0, -86849, 0, -1890, 0, -66036, 0, 85285, 0, 0, 0, -86774, 0, 4537, 0, -11592, 0, 230, 0, 0, 0, 9180, 0, 125626, 0, 33740, 0, 39198, 0, 0, 0, 53106, 0, 14706, 0, -91788, 0, -114769, 0, 0, 0, -7980, 0, 2261, 0, 8280, 0, -36694, 0, 0, 0, 86955, 0, -150142, 0, -65000, 0, 14904, 0, 0, 0, 26869, 0, 18354, 0, 19392, 0, 106093, 0, 0, 0, 16644, 0, -26845, 0, -10584, 0, -102986, 0, 0, 0, -47166, 0, -109296, 0, 165138, 0, -4620, 0, 0, 0, -69356, 0, -62703, 0, -2112, 0, -38304, 0, 0, 0, -24230, 0, 136997, 0, -97833, 0, -50052, 0, 0, 0, 2187, 0, 24346, 0, 3785, 0, 23046, 0, 0, 0, 4393, 0, -25074, 0, 110124, 0, -98797, 0, 0, 0, 76534, 0, 64277, 0, -27426, 0, 157740, 0, 0, 0, -61812, 0, 38160, 0, -66907, 0, 171, 0, 0, 0, 48576, 0, -58428, 0, 38686, 0, -980, 0, 0, 0, -93854, 0, -117481, 0, 3834, 0, 104618, 0, 0, 0, 14760, 0, 562, 0, -148723, 0, -11592, 0, 0, 0, 4386, 0, -12420, 0, 4370, 0, 75810, 0, 0, 0, 181812, 0, -76993, 0, 56613, 0, -190152, 0, 0, 0, 5796, 0, 76152, 0, 149413, 0, -109116, 0, 0, 0, 76536, 0, -27645, 0, 7728, 0, -176159, 0, 0, 0, -31788, 0, 21565, 0, -582, 0, -130380, 0, 0, 0, 13809, 0, -145258, 0, -170507, 0, 62316, 0, 0, 0, 33900, 0, 108, 0, -63350, 0, -25392, 0, 0, 0, 3718, 0, -35788, 0, -11610, 0, -143498, 0, 0, 0, -4788, 0, -159230, 0, 30373, 0, 34776, 0, 0, 0, 167371, 0, 1134, 0, -122760, 0, 1639, 0, 0, 0, -209028, 0, -39245, 0, -60843, 0, 77832, 0, 0, 0, 16956, 0, 14168, 0, -7291, 0, -13140, 0, 0, 0, 82326, 0, 51, 0, -224638, 0, -202513, 0, 0, 0, 9310, 0, 4955, 0, 112572, 0, 116338, 0, 0, 0, -56580, 0, 77964, 0, 92549, 0, -29808, 0, 0, 0, 1988, 0, 23940, 0, -112574, 0, -45144, 0, 0, 0, 89698, 0, 16296, 0, 32490, 0, -127478, 0, 0, 0, 93672, 0, 3170, 0, -644, 0, -97737, 0, 0, 0, -49139, 0, 54648, 0, 21182, 0, 4650, 0, 0, 0, 215254, 0, -73416, 0, 9519, 0, 44954, 0, 0, 0, -135, 0, -125640, 0, -45264, 0, -59430, 0, 0, 0, -140364, 0, 30819, 0, 21430, 0, -212419, 0, 0, 0, 130296, 0, -168474, 0, 49968, 0, 2410, 0, 0, 0, -14370, 0, 20064, 0, -186960, 0, 25227, 0, 0, 0, 34776, 0, 43884, 0, -1428, 0, 214796, 0, 0, 0, 84778, 0, -2621, 0, -10773, 0, 21180, 0, 0, 0, -22242, 0, 25858, 0, 55847, 0, -72579, 0, 0, 0, -32490, 0, -60246, 0, 144132, 0, 22724, 0, 0, 0, -32398, 0, -230189, 0, -17025, 0, -90410, 0, 0, 0, -58329, 0, -217068, 0, -178896, 0, 35604, 0, 0, 0, -14129, 0, -90465, 0, -4954, 0, -14280, 0, 0, 0, -38686, 0, 7255, 0, 24732, 0, -18886, 0, 0, 0, -52656, 0, 184740, 0, -15456, 0, 3780, 0, 0, 0, 1739, 0, -102312, 0, -168274, 0, -90263, 0, 0, 0, 145008, 0, 40296, 0, -25173, 0, -14782, 0, 0, 0, -23184, 0, 151524, 0, -15575, 0, -1959, 0, 0, 0, 98947, 0, -22707, 0, -211442, 0, 2839, 0, 0, 0, 213624, 0, 16464, 0, 138687, 0, -31850, 0, 0, 0, -27126, 0, -70, 0, 32148, 0, -67320, 0, 0, 0, -33216, 0, -51429, 0, 97538, 0, 7075, 0, 0, 0, 99180, 0, 83940, 0, -70878, 0, -127582, 0, 0, 0, 35640, 0, 874, 0, 15971, 0, -3402, 0, 0, 0, 80754, 0, -23370, 0, -900, 0, 10428, 0, 0, 0, -157474, 0, 6397, 0, 414, 0, 41316, 0, 0, 0, -5586, 0, -180792, 0, 147060, 0, 62928, 0, 0, 0, -205715, 0, -7515, 0, -22762, 0, -111881, 0, 0, 0, -266, 0, -218501, 0, -33804, 0, 61860, 0, 0, 0, 14904, 0, -185664, 0, 22363, 0, -30138, 0, 0, 0, 10580, 0, -5964, 0, -161244, 0, -4525, 0, 0, 0, 54852, 0, -128982, 0, -15840, 0, 145704, 0, 0, 0, -46077, 0, 146832, 0, 19320, 0, -48321, 0, 0, 0, -110885, 0, 2484, 0, 104006, 0, 79540, 0, 0, 0, 111336, 0, -28835, 0, -8316, 0, 52210, 0, 0, 0, -119370, 0, 137904, 0, 288816, 0, 18126, 0, 0, 0, -7249, 0, -43614, 0, -51084, 0, -18725, 0, 0, 0, -15600, 0, 59059, 0, 51027, 0, -11774, 0, 0, 0, 6813, 0, -57828, 0, 665, 0, -35022, 0, 0, 0, -96936, 0, -11592, 0, 9386, 0, -208183, 0, 0, 0, 53172, 0, -97152, 0, 18078, 0, 24178, 0, 0, 0, 1710, 0, 18060, 0, -5731, 0, 68688, 0, 0, 0, 87659, 0, 42264, 0, -18228, 0, 7505, 0, 0, 0, -6970, 0, -15979, 0, -1764, 0, 101016, 0, 0, 0, 11670, 0, -74450, 0, -109051, 0, -36306, 0, 0, 0, -138509, 0, 26568, 0, -61692, 0, -26376, 0, 0, 0, 192660, 0, 3211, 0, -33624, 0, 179760, 0, 0, 0, 7866, 0, 96720, 0, -69552, 0, 78162, 0, 0, 0, 251009, 0, -25380, 0, -109296, 0, -142416, 0, 0, 0, 136742, 0, 7728, 0, 80610, 0, 45360, 0, 0, 0, 46368, 0, -78266, 0, 25852, 0, -49761, 0, 0, 0, 36750, 0, -70164, 0, 2484, 0, 307650, 0, 0, 0, 249060, 0, -50540, 0, 18450, 0, 102156, 0, 0, 0, 23046, 0, 119016, 0, 53227, 0, -52035, 0, 0, 0, 1847, 0, 61020, 0, -85008, 0, 361, 0, 0, 0, -4312, 0, 5406, 0, 77994, 0, -47880, 0, 0, 0, -20898, 0, 152138, 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, 3, 0, 0, 0, 5, 0, 9, 0, -14, 0, -1, 0, 0, 0, -46, 0, -19, 0, 15, 0, -46, 0, 0, 0, 27, 0, 14, 0, -133, 0, -42, 0, 0, 0, -258, 0, -3, 0, 84, 0, -167, 0, 0, 0, 410, 0, -318, 0, -138, 0, -456, 0, 0, 0, -57, 0, 194, 0, -17, 0, 45, 0, 0, 0, 653, 0, -138, 0, -828, 0, -570, 0, 0, 0, -70, 0, 552, 0, 81, 0, 142, 0, 0, 0, 42, 0, -1104, 0, -5, 0, -399, 0, 0, 0, -841, 0, -126, 0, 552, 0, -308, 0, 0, 0, 984, 0, -1843, 0, -774, 0, -876, 0, 0, 0, -9, 0, -230, 0, -1135, 0, 252, 0, 0, 0, 2376, 0, -501, 0, -1056, 0, -95, 0, 0, 0, 778, 0, -1692, 0, 1230, 0, 14, 0, 0, 0, -954, 0, -494, 0, 841, 0, -414, 0, 0, 0, -19, 0, -1368, 0, -230, 0, -2261, 0, 0, 0, 2112, 0, -2196, 0, -171, 0, -562, 0, 0, 0, 582, 0, -3718, 0, -1639, 0, -51, 0, 0, 0, 644, 0, 135, 0, -2410, 0, 2621, 0, 0, 0, 4954, 0, -1739, 0, 1959, 0, 70, 0, 0, 0, -414, 0, 266, 0, 4525, 0, -2484, 0, 0, 0, -665, 0, -1710, 0, 46, 0, -3211, 0, 0, 0, -2484, 0, -1847, 0, -210, 0, 1020, 0, 0, 0, 1656, 0, -1176, 0, -6967, 0, 243, 0, 0, 0, 19, 0, 426, 0, -1380, 0, 644, 0, 0, 0, 6924, 0, -1290, 0, 126, 0, 1884, 0, 0, 0, -3312, 0, 3610, 0, 6072, 0, -15, 0, 0, 0, 2803, 0, -1197, 0, -6694, 0, -6481, 0, 0, 0, 420, 0, -2797, 0, -2523, 0, -3014, 0, 0, 0, -378, 0, 46, 0, -835, 0, 1656, 0, 0, 0, -5369, 0, -924, 0, -4846, 0, 757, 0, 0, 0, 7632, 0, -196, 0, 2952, 0, 874, 0, 0, 0, -5529, 0, 2050, 0, 6780, 0, -2322, 0, 0, 0, -7849, 0, -2628, 0, 1862, 0, -3305, 0, 0, 0, 634, 0, 930, 0, -27, 0, 4286, 0, 0, 0, -690, 0, 4236, 0, -6498, 0, -3405, 0, 0, 0, 1451, 0, 756, 0, -2280, 0, -3115, 0, 0, 0, -14, 0, 1415, 0, 7128, 0, -180, 0, 0, 0, -1503, 0, 12372, 0, 2116, 0, -3168, 0, 0, 0, -5767, 0, -285, 0, -3120, 0, 133, 0, 0, 0, 3612, 0, 1501, 0, 2334, 0, 970, 0, 0, 0, -5076, 0, 9072, 0, 7350, 0, 3690, 0, 0, 0, -85, 0, 42, 0, -5962, 0, 10093, 0, 0, 0, 874, 0, 2555, 0, -2862, 0, 6240, 0, 0, 0, -1482, 0, 3324, 0, -1176, 0, 2523, 0, 0, 0, -16774, 0, -1242, 0, 14304, 0, 6936, 0, 0, 0, 15622, 0, 3265, 0, -57, 0, 2338, 0, 0, 0, -4104, 0, 13354, 0, 258, 0, -690, 0, 0, 0, -461, 0, -6783, 0, -3768, 0, -644, 0, 0, 0, -4140, 0, 14317, 0, 6336, 0, 9228, 0, 0, 0, -6588, 0, 4574, 0, -2850, 0, -513, 0, 0, 0, -5740, 0, -1686, 0, -8494, 0, 8263, 0, 0, 0, 6118, 0, -10051, 0, 1746, 0, -84, 0, 0, 0, -11154, 0, 4452, 0, 21157, 0, -4917, 0, 0, 0, -4048, 0, -153, 0, -266, 0, 2760, 0, 0, 0, 6758, 0, 167, 0, 1932, 0, 24506, 0, 0, 0, 405, 0, -1430, 0, -3691, 0, -7230, 0, 0, 0, -4571, 0, 7863, 0, 710, 0, 6384, 0, 0, 0, 14808, 0, 2527, 0, 14862, 0, 24588, 0, 0, 0, -5217, 0, 27564, 0, 10987, 0, 5877, 0, 0, 0, -13200, 0, 210, 0, -410, 0, -21066, 0, 0, 0, -12336, 0, 1441, 0, -1242, 0, -5520, 0, 0, 0, 798, 0, 11868, 0, 9839, 0, 13575, 0, 0, 0, 318, 0, -7452, 0, -21564, 0, 8604, 0, 0, 0, 3444, 0, -2716, 0, -1995, 0, 3518, 0, 0, 0, -5130, 0, 12612, 0, 27090, 0, 138, 0, 0, 0, -644, 0, -9633, 0, 238, 0, 5442, 0, 0, 0, 15226, 0, -4205, 0, -7452, 0, -552, 0, 0, 0, -5541, 0, 456, 0, -9776, 0, -630, 0, 0, 0, -3864, 0, 3060, 0, 13066, 0, 4902, 0, 0, 0, 2760, 0, 28985, 0, 4968, 0, 6118, 0, 0, 0, -3528, 0, -15722, 0, -1540, 0, -20901, 0, 0, 0, -32611, 0, 729, 0, 7682, 0, -8358, 0, 0, 0, -9142, 0, -20604, 0, 57, 0, -19476, 0, 0, 0, 1278, 0, 4920, 0, -3864, 0, -4140, 0, 0, 0, 18871, 0, 1932, 0, -36372, 0, -9215, 0, 0, 0, -194, 0, 4603, 0, 20772, 0, 36, 0, 0, 0, -3870, 0, -1596, 0, 11592, 0, 378, 0, 0, 0, -20281, 0, 5652, 0, -4380, 0, 17, 0, 0, 0, 37524, 0, -18860, 0, -9936, 0, 7980, 0, 0, 0, 10830, 0, 31224, 0, -32579, 0, 18216, 0, 0, 0, 3173, 0, -45, 0, -19810, 0, 10273, 0, 0, 0, 16656, 0, -4790, 0, 8409, 0, 14628, 0, 0, 0, -3591, 0, -7414, 0, -24193, 0, -20082, 0, 0, 0, -5675, 0, -19443, 0, 11868, 0, -30155, 0, 0, 0, 8244, 0, -17552, 0, 1260, 0, -34104, 0, 0, 0, -8391, 0, -7728, 0, -653, 0, -7569, 0, 0, 0, 46229, 0, -9042, 0, -22440, 0, -17143, 0, 0, 0, -23626, 0, 11880, 0, -1134, 0, -7790, 0, 0, 0, 138, 0, -1862, 0, 20976, 0, -2505, 0, 0, 0, -11268, 0, 4968, 0, -10046, 0, -1988, 0, 0, 0, -5280, 0, -15359, 0, -16107, 0, 828, 0, 0, 0, -2772, 0, -39790, 0, 6042, 0, -14538, 0, 0, 0, 17009, 0, 2271, 0, -11674, 0, -3864, 0, 0, 0, 6026, 0, 570, 0, 22896, 0, 14088, 0, 0, 0, -588, 0, 3890, 0, -12102, 0, 8856, 0, 0, 0, -11208, 0, 2622, 0, 26054, 0, -8460, 0, 0, 0, 26870, 0, 15456, 0, -16587, 0, -23388, 0, 0, 0, 6150, 0, 7682, 0, -17345, 0, 20340, 0, 0, 0, 25998, 0, -6966, 0, 70, 0, -8924, 0, 0, 0, 8664, 0, -28099, 0, -23547, 0, -45850, 0, 0, 0, -7884, 0, -44854, 0, 31315, 0, 5586, 0, 0, 0, -552, 0, -9915, 0, 32210, 0, -28805, 0, 0, 0, 782, 0, -43475, 0, 1902, 0, -2470, 0, 0, 0, 2790, 0, -47736, 0, -35467, 0, -81, 0, 0, 0, 4205, 0, 12858, 0, 21130, 0, 32677, 0, 0, 0, 11774, 0, -15269, 0, -2070, 0, -3612, 0, 0, 0, 12708, 0, -142, 0, -18860, 0, -19494, 0, 0, 0, 50849, 0, -10215, 0, -408, 0, 6727, 0, 0, 0, -36938, 0, -95, 0, 4353, 0, 5986, 0, 0, 0, 2268, 0, -17882, 0, -7728, 0, -6840, 0, 0, 0, 535, 0, -9345, 0, -3686, 0, -16117, 0, 0, 0, 14628, 0, -31675, 0, -42, 0, 4312, 0, 0, 0, 4245, 0, -30038, 0, -11305, 0, 21384, 0, 0, 0, 34314, 0, -540, 0, -72350, 0, 21079, 0, 0, 0, 1104, 0, 323, 0, -4509, 0, 11796, 0, 0, 0, 37116, 0, 10560, 0, 26395, 0, 6348, 0, 0, 0, -13776, 0, -9504, 0, 14242, 0, -10980, 0, 0, 0, 22142, 0, 1176, 0, -17301, 0, -13006, 0, 0, 0, -855, 0, 25802, 0, 25326, 0, -9360, 0, 0, 0, 38088, 0, 399, 0, -2810, 0, 3378, 0, 0, 0, -23986, 0, 20976, 0, 10836, 0, -41822, 0, 0, 0, 4503, 0, -61908, 0, 4052, 0, 7002, 0, 0, 0, -58754, 0, 2910, 0, 26220, 0, 12264, 0, 0, 0, -2338, 0, -25614, 0, -15228, 0, -18590, 0, 0, 0, 27216, 0, -85020, 0, 841, 0, 22050, 0, 0, 0, -8195, 0, 11070, 0, -11172, 0, -12407, 0, 0, 0, -29758, 0, -14059, 0, -255, 0, 57014, 0, 0, 0, 126, 0, -10668, 0, -34589, 0, -17886, 0, 0, 0, -18979, 0, 30279, 0, 80122, 0, 16121, 0, 0, 0, 7236, 0, 3220, 0, 2622, 0, -552, 0, 0, 0, 7665, 0, 83398, 0, -46002, 0, -8586, 0, 0, 0, 88765, 0, 18720, 0, 34524, 0, 22211, 0, 0, 0, -12050, 0, 308, 0, -4446, 0, -25392, 0, 0, 0, 9972, 0, 15732, 0, 13105, 0, -3528, 0, 0, 0, -8924, 0, 7569, 0, 50158, 0, 5740, 0, 0, 0, -11892, 0, 15911, 0, -50322, 0, -17498, 0, 0, 0, -3726, 0, 24770, 0, -78235, 0, 42912, 0, 0, 0, 10830, 0, 20808, 0, -984, 0, -8695, 0, 0, 0, -33264, 0, 92345, 0, 46866, 0, 782, 0, 0, 0, 9795, 0, -20398, 0, -6532, 0, -171, 0, 0, 0, 1843, 0, 7014, 0, -4452, 0, -7824, 0, 0, 0, -91980, 0, -52325, 0, -12312, 0, -67078, 0, 0, 0, 40062, 0, -93562, 0, 14784, 0, 774, 0, 0, 0, 17339, 0, -2070, 0, 32738, 0, 35507, 0, 0, 0, -54530, 0, 63708, 0, -1383, 0, 1330, 0, 0, 0, -20349, 0, 876, 0, 39505, 0, -11304, 0, 0, 0, 22625, 0, -1932, 0, -24490, 0, -96300, 0, 0, 0, -94392, 0, 53130, 0, -12420, 0, 11760, 0, 0, 0, 42951, 0, 14950, 0, -10488, 0, 19008, 0, 0, 0, -10892, 0, 27684, 0, -83880, 0, 50784, 0, 0, 0, -21672, 0, 42294, 0, -19764, 0, 93518, 0, 0, 0, 13722, 0, 23688, 0, 107003, 0, -8550, 0, 0, 0, -6384, 0, -1539, 0, -30038, 0, 34843, 0, 0, 0, 230, 0, -761, 0, -17220, 0, -25846, 0, 0, 0, -5058, 0, 53570, 0, -16055, 0, -25482, 0, 0, 0, -9113, 0, 24789, 0, 72650, 0, 1135, 0, 0, 0, -2698, 0, 3707, 0, 18354, 0, -119882, 0, 0, 0, -30153, 0, -12420, 0, 43086, 0, 5238, 0, 0, 0, -15294, 0, -252, 0, 108110, 0, -9235, 0, 0, 0, -110556, 0, 106445, 0, -33462, 0, 63722, 0, 0, 0, 13356, 0, -77508, 0, -88387, 0, 63471, 0, 0, 0, 13692, 0, -14751, 0, 5100, 0, 38088, 0, 0, 0, -62784, 0, 6916, 0, -12144, 0, 60648, 0, 0, 0, -459, 0, 38686, 0, -2376, 0, -798, 0, 0, 0, 12786, 0, 8280, 0, -11774, 0, 12169, 0, 0, 0, -125390, 0, 44718, 0, 20274, 0, -5880, 0, 0, 0, 501, 0, 26220, 0, -61865, 0, 5796, 0, 0, 0, -34835, 0, 73518, 0, 20976, 0, 76117, 0, 0, 0, 89942, 0, 116336, 0, 1215, 0, 1056, 0, 0, 0, -4290, 0, 132242, 0, 2716, 0, -11073, 0, 0, 0, -25392, 0, -21690, 0, 90576, 0, -89412, 0, 0, 0, 266, 0, 95, 0, -13713, 0, -52034, 0, 0, 0, 23589, 0, -105780, 0, -87085, 0, 2130, 0, 0, 0, 24784, 0, 19152, 0, 14168, 0, 94806, 0, 0, 0, -6900, 0, -65225, 0, 44424, 0, -14028, 0, 0, 0, 7581, 0, -238, 0, 3220, 0, 44586, 0, 0, 0, 66727, 0, 73764, 0, -778, 0, 89297, 0, 0, 0, -53146, 0, 129083, 0, -15651, 0, 31654, 0, 0, 0, 82692, 0, 34620, 0, 55895, 0, 32961, 0, 0, 0, 1692, 0, 17631, 0, 80904, 0, 82044, 0, 0, 0, -25392, 0, -45264, 0, -39600, 0, -50100, 0, 0, 0, 630, 0, -25802, 0, 132384, 0, -1230, 0, 0, 0, -29568, 0, -63198, 0, 9420, 0, 15979, 0, 0, 0, -109394, 0, -51618, 0, -37008, 0, 84778, 0, 0, 0, 4323, 0, 30744, 0, -45833, 0, -3726, 0, 0, 0, -37649, 0, -16560, 0, 15094, 0, -22625, 0, 0, 0, -53196, 0, 62424, 0, 2394, 0, 18050, 0, 0, 0, 35604, 0, 112668, 0, 2261, 0, 29517, 0, 0, 0, 30360, 0, 40725, 0, 5354, 0, 7868, 0, 0, 0, 29916, 0, -6532, 0, 954, 0, -42804, 0, 0, 0, -22356, 0, -10488, 0, 40296, 0, -64692, 0, 0, 0, 34440, 0, 25812, 0, 80832, 0, -32719, 0, 0, 0, 494, 0, 14015, 0, 10332, 0, 9142, 0, 0, 0, -8148, 0, -158436, 0, -12605, 0, -5985, 0, 0, 0, 5852, 0, 10554, 0, 117648, 0, -841, 0, 0, 0, -33470, 0, 52052, 0, -15390, 0, 30492, 0, 0, 0, 37836, 0, -130262, 0, -32405, 0, 81270, 0, 0, 0, -76908, 0, 414, 0, 22946, 0, -80358, 0, 0, 0, -43476, 0, -37625, 0, -1932, 0, 171130, 0, 0, 0, -28899, 0, -26712, 0, -85524, 0, 714, 0, 0, 0, 20579, 0, 16326, 0, -68470, 0, -13985, 0, 0, 0, 132228, 0, -136331, 0, 45678, 0, -18696, 0, 0, 0, -12615, 0, 100416, 0, 19, 0, -22356, 0, 0, 0, 50784, 0, -1656, 0, -15070, 0, 139426, 0, 0, 0, 52210, 0, -11592, 0, -16623, 0, -118594, 0, 0, 0, 1368, 0, 30420, 0, 35017, 0, -29328, 0, 0, 0, -86849, 0, -1890, 0, -66036, 0, 85285, 0, 0, 0, -86774, 0, 4537, 0, -11592, 0, 230, 0, 0, 0, 9180, 0, 125626, 0, 33740, 0, 39198, 0, 0, 0, 53106, 0, 14706, 0, -91788, 0, -114769, 0, 0, 0, -7980, 0, 2261, 0, 8280, 0, -36694, 0, 0, 0, 86955, 0, -150142, 0, -65000, 0, 14904, 0, 0, 0, 26869, 0, 18354, 0, 19392, 0, 106093, 0, 0, 0, 16644, 0, -26845, 0, -10584, 0, -102986, 0, 0, 0, -47166, 0, -109296, 0, 165138, 0, -4620, 0, 0, 0, -69356, 0, -62703, 0, -2112, 0, -38304, 0, 0, 0, -24230, 0, 136997, 0, -97833, 0, -50052, 0, 0, 0, 2187, 0, 24346, 0, 3785, 0, 23046, 0, 0, 0, 4393, 0, -25074, 0, 110124, 0, -98797, 0, 0, 0, 76534, 0, 64277, 0, -27426, 0, 157740, 0, 0, 0, -61812, 0, 38160, 0, -66907, 0, 171, 0, 0, 0, 48576, 0, -58428, 0, 38686, 0, -980, 0, 0, 0, -93854, 0, -117481, 0, 3834, 0, 104618, 0, 0, 0, 14760, 0, 562, 0, -148723, 0, -11592, 0, 0, 0, 4386, 0, -12420, 0, 4370, 0, 75810, 0, 0, 0, 181812, 0, -76993, 0, 56613, 0, -190152, 0, 0, 0, 5796, 0, 76152, 0, 149413, 0, -109116, 0, 0, 0, 76536, 0, -27645, 0, 7728, 0, -176159, 0, 0, 0, -31788, 0, 21565, 0, -582, 0, -130380, 0, 0, 0, 13809, 0, -145258, 0, -170507, 0, 62316, 0, 0, 0, 33900, 0, 108, 0, -63350, 0, -25392, 0, 0, 0, 3718, 0, -35788, 0, -11610, 0, -143498, 0, 0, 0, -4788, 0, -159230, 0, 30373, 0, 34776, 0, 0, 0, 167371, 0, 1134, 0, -122760, 0, 1639, 0, 0, 0, -209028, 0, -39245, 0, -60843, 0, 77832, 0, 0, 0, 16956, 0, 14168, 0, -7291, 0, -13140, 0, 0, 0, 82326, 0, 51, 0, -224638, 0, -202513, 0, 0, 0, 9310, 0, 4955, 0, 112572, 0, 116338, 0, 0, 0, -56580, 0, 77964, 0, 92549, 0, -29808, 0, 0, 0, 1988, 0, 23940, 0, -112574, 0, -45144, 0, 0, 0, 89698, 0, 16296, 0, 32490, 0, -127478, 0, 0, 0, 93672, 0, 3170, 0, -644, 0, -97737, 0, 0, 0, -49139, 0, 54648, 0, 21182, 0, 4650, 0, 0, 0, 215254, 0, -73416, 0, 9519, 0, 44954, 0, 0, 0, -135, 0, -125640, 0, -45264, 0, -59430, 0, 0, 0, -140364, 0, 30819, 0, 21430, 0, -212419, 0, 0, 0, 130296, 0, -168474, 0, 49968, 0, 2410, 0, 0, 0, -14370, 0, 20064, 0, -186960, 0, 25227, 0, 0, 0, 34776, 0, 43884, 0, -1428, 0, 214796, 0, 0, 0, 84778, 0, -2621, 0, -10773, 0, 21180, 0, 0, 0, -22242, 0, 25858, 0, 55847, 0, -72579, 0, 0, 0, -32490, 0, -60246, 0, 144132, 0, 22724, 0, 0, 0, -32398, 0, -230189, 0, -17025, 0, -90410, 0, 0, 0, -58329, 0, -217068, 0, -178896, 0, 35604, 0, 0, 0, -14129, 0, -90465, 0, -4954, 0, -14280, 0, 0, 0, -38686, 0, 7255, 0, 24732, 0, -18886, 0, 0, 0, -52656, 0, 184740, 0, -15456, 0, 3780, 0, 0, 0, 1739, 0, -102312, 0, -168274, 0, -90263, 0, 0, 0, 145008, 0, 40296, 0, -25173, 0, -14782, 0, 0, 0, -23184, 0, 151524, 0, -15575, 0, -1959, 0, 0, 0, 98947, 0, -22707, 0, -211442, 0, 2839, 0, 0, 0, 213624, 0, 16464, 0, 138687, 0, -31850, 0, 0, 0, -27126, 0, -70, 0, 32148, 0, -67320, 0, 0, 0, -33216, 0, -51429, 0, 97538, 0, 7075, 0, 0, 0, 99180, 0, 83940, 0, -70878, 0, -127582, 0, 0, 0, 35640, 0, 874, 0, 15971, 0, -3402, 0, 0, 0, 80754, 0, -23370, 0, -900, 0, 10428, 0, 0, 0, -157474, 0, 6397, 0, 414, 0, 41316, 0, 0, 0, -5586, 0, -180792, 0, 147060, 0, 62928, 0, 0, 0, -205715, 0, -7515, 0, -22762, 0, -111881, 0, 0, 0, -266, 0, -218501, 0, -33804, 0, 61860, 0, 0, 0, 14904, 0, -185664, 0, 22363, 0, -30138, 0, 0, 0, 10580, 0, -5964, 0, -161244, 0, -4525, 0, 0, 0, 54852, 0, -128982, 0, -15840, 0, 145704, 0, 0, 0, -46077, 0, 146832, 0, 19320, 0, -48321, 0, 0, 0, -110885, 0, 2484, 0, 104006, 0, 79540, 0, 0, 0, 111336, 0, -28835, 0, -8316, 0, 52210, 0, 0, 0, -119370, 0, 137904, 0, 288816, 0, 18126, 0, 0, 0, -7249, 0, -43614, 0, -51084, 0, -18725, 0, 0, 0, -15600, 0, 59059, 0, 51027, 0, -11774, 0, 0, 0, 6813, 0, -57828, 0, 665, 0, -35022, 0, 0, 0, -96936, 0, -11592, 0, 9386, 0, -208183, 0, 0, 0, 53172, 0, -97152, 0, 18078, 0, 24178, 0, 0, 0, 1710, 0, 18060, 0, -5731, 0, 68688, 0, 0, 0, 87659, 0, 42264, 0, -18228, 0, 7505, 0, 0, 0, -6970, 0, -15979, 0, -1764, 0, 101016, 0, 0, 0, 11670, 0, -74450, 0, -109051, 0, -36306, 0, 0, 0, -138509, 0, 26568, 0, -61692, 0, -26376, 0, 0, 0, 192660, 0, 3211, 0, -33624, 0, 179760, 0, 0, 0, 7866, 0, 96720, 0, -69552, 0, 78162, 0, 0, 0, 251009, 0, -25380, 0, -109296, 0, -142416, 0, 0, 0, 136742, 0, 7728, 0, 80610, 0, 45360, 0, 0, 0, 46368, 0, -78266, 0, 25852, 0, -49761, 0, 0, 0, 36750, 0, -70164, 0, 2484, 0, 307650, 0, 0, 0, 249060, 0, -50540, 0, 18450, 0, 102156, 0, 0, 0, 23046, 0, 119016, 0, 53227, 0, -52035, 0, 0, 0, 1847, 0, 61020, 0, -85008, 0, 361, 0, 0, 0, -4312, 0, 5406, 0, 77994, 0, -47880, 0, 0, 0, -20898, 0, 152138, 0]}