# Trace form for 483.4.a.i, downloaded from the LMFDB on 14 January 2025.
[0, 9, 8, 27, 38, 39, 24, 63, 135, 81, 81, 38, 114, 107, 56, 117, 178, 170, 72, 20, 300, 189, -129, -207, 405, 354, -114, 243, 266, 405, 243, -182, 648, 114, -277, 273, 342, 347, -291, 321, 1066, 717, 168, -77, -705, 351, -184, 799, 534, 441, 406, 510, 519, 780, 216, -754, 945, 60, -508, 766, 900, 1836, 173, 567, 805, 655, -387, -1290, 317, -621, 567, 1802, 1215, 598, 578, 1062, -1323, 266, -342, -1150, 795, 729, -1040, 1758, 798, 1078, -1920, 1215, -3056, 1400, 729, 749, -874, -546, 799, 2186, 1944, 1123, 392, 342, -2683, 2146, -831, 2651, 4104, 819, 1426, -92, 1026, -1505, 1054, 1041, 1246, 3225, -873, -897, 1466, 963, 148, 1190, 3198, -625, 7, 2151, -5809, 3489, 504, 1901, 754, -231, -3498, 32, -2115, 140, -410, 1053, -4842, 4175, -552, 2053, 2100, 2397, -6655, -1412, 1602, -6027, 1023, 1323, 5550, -352, 1218, 1125, -7020, 1530, -903, -2926, 1557, -4088, -1627, 2340, -2226, -1449, 648, -2952, -2866, -2262, 111, -2342, 2835, -2714, -9986, 180, -9757, -616, -1524, 2478, -17335, 2298, -12047, 3319, 2700, -3758, -798, 5508, -3105, -3349, 519, -6308, -6347, 1701, -9562, -3002, 2415, -5759, 12532, 1965, 1862, 5161, -1161, -5243, 1919, -3870, -11656, 2835, 951, -18979, 305, -1863, 1528, 8176, 1701, -9160, -10109, 5406, -16773, -41, 3645, -1274, -12811, 1794, -14527, 4804, 1734, -924, 4536, 3186, -11889, 5531, -3969, 1088, -1863, 798, -10797, 1816, -1026, -4823, 19219, -3450, -1939, 4178, 2385, -4581, 13109, 2187, 4874, 1911, -3120, -23378, -5924, 5274, -6474, 7415, 2394, -874, -26138, 3234, -1126, -4524, -5760, 2429, -16316, 3645, -11693, 10653, -9168, 1548, -2037, 4200, -36719, 20034, 2187, 7232, -9865, 2247, -15518, -11740, -2622, 2740, 19469, -1638, 7462, -7261, 2397, -3036, 8094, 6558, -10977, 5019, 5832, -5221, 2527, 3369, 7133, -1736, 1176, -2404, 2623, 1026, -3470, -2461, -8049, -539, -27087, 6438, -18001, 23682, -2493, -3083, -4935, 7953, -35020, 13604, 12312, 10336, -9996, 2457, -10409, -4403, 4278, 3962, 16990, -276, -1288, 11382, 3078, 2762, 27298, -4515, -10955, 5593, 3162, -23514, 22077, 3123, 18879, -8422, 3738, -25160, -2235, 9675, -2603, 19338, -2619, 3087, -27796, -2691, 11307, 31747, 4398, 10532, 2842, 2889, -54411, 22505, 444, 30810, 5868, 3570, -1527, 7463, 9594, 18703, 29893, -1875, 3633, 10944, 21, -2303, -4094, 6453, 12949, 5460, -17427, -7836, 36103, 10467, 43849, 3971, 1512, -6317, -18129, 5703, 22984, 31080, 2262, -5278, -20553, -693, 50788, 23012, -10494, -3910, 6615, 96, -40676, 19566, -6345, 19542, -46049, 420, -18506, 14464, -1230, 26474, 9097, 3159, -3556, -20646, -14526, 5302, 11945, 12525, 39829, 5362, -1656, -16582, 32895, 6159, 81063, -15810, 6300, -34161, -10785, 7191, 6573, 29840, -19965, 12852, -11962, -4236, 44712, 22485, 4806, 15165, 1211, -18081, -62906, -460, 3069, 33578, -82961, 3969, 279, 4091, 16650, 26770, 23498, -1056, 5635, 964, 3654, 31066, 17246, 3375, -10195, 4585, -21060, -1740, 50610, 4590, -6900, 12124, -2709, -36003, -7586, -8778, 2604, 953, 4671, -9030, -13631, -12264, 80251, 70430, -4881, 8480, 2219, 7020, -3704, 34462, -6678, 589, -99370, -4347, 52313, 26023, 1944, 43659, 34001, -8856, 3969, 29444, -8598, 32434, -28711, -6786, -9255, 12614, 333, -20512, -1392, -7026, 78673, -26102, 8505, -11558, 2967, -8142, 8329, -13310, -29958, 4186, 13627, 540, 86750, 7265, -29271, 4094, 4046, -1848, 85, 19286, -4572, -15050, -100703, 7434, 7858, -8230, -52005, 4761, -4599, 6894, -9261, -8143, -36141, 7056, -91763, 9957, 65937, 1862, 8100, -26306, 28613, -11274, 17043, -6239, -2394, -39624, -8814, 16524, 41194, -24540, -9315, -8050, 31911, -10047, 75686, 78, 1557, -19959, 5565, -18924, 709, 4663, -19041, 40873, -44338, 5103, 33555, 5269, -28686, 28052, -38594, -9006, -7280, -8142, 7245, 28202, -105161, -17277, 25592, 12306, 37596, -14668, 81542, 5895, 36728, -55668, 5586, 10560, -3843, 15483, 94192, 32157, -3483, 7546, -45246, -15729, 2622, 496, 5757, -22610, -13440, -11610, -52765, -8717, -34968, -17948, -137577, 8505, 85913, 33595, 2853, -4879, 6624, -56937, -21392, 11898, 915, 16260, -145273, -5589, 57637, 9800, 4584, 14199, -29400, 24528, -18292, 6018, 5103, -102802, -112354, -27480, 90371, -23705, -30327, 5243, -19515, 16218, 89651, -54855, -50319, -21114, -6118, -123, -34435, -48482, 10935, -42822, -124397, -3822, 71947, 44699, -38433, 5798, -25764, 5382, 5593, -79568, -43581, 12372, -91180, 14412, 95460, 15302, 5202, -9315, 19705, -2772, -49463, -60604, 13608, -39771, -28811, 9558, -38338, -7850, -35667, 7861, 28555, 16593, 85615, 894, -11907, -8125, 2744, 3264, -151790, -10870, -5589, -90249, -66227, 2394, 131806, -80139, -32391, -12160, 35996, 5448, -18781, 8140, -3078, -45160, -149706, -14469, 32712, 15022, 57657, -12156, -9547, -10350, 11137, 4186, -5817, -119854, -51694, 12534, 86437, -3231, 7155, 18557, 23877, -13743, 81479, -63606, 39327, 19894, 28728, 6561, -40714, -82018, 14622, -21582, -9820, 5733, -14904, 51638, -9360, -36720, 62756, -70134, 9982, -83190, -17772, -61316, -34103, 15822, 88407, -644, -19422, -123384, 82851, 22245, 46664, -66481, 7182, -23416, -146775, -2622, -10619, 28136, -78414, -10535, -5272, 9702, 3435, 9844, -3378, 13169, 7378, -13572, -63431, -5611, -17280, -56414, 42609, 7287, 12119, -48148, -48948, -16320, 6371, 10935, 8722, -93124, -35079, -91672, 31419, 31959, 116178, 22575, -27504, 8594, -4900, 4644, -10326, 46127, -6111, -79976, -120193, 12600, 70181, -91228, -110157, -6279, 107533, 60102, -31419, 47818, 6561, -16457, 10262, 21696, -167663, 2612, -29595, 168, 39695, 6741, 47174, -7138, -46554, -24601, 118775, -35220, 1036, -92510, -7866, 53284, 56006, 8220, 201086, 8330, 58407, -110572, 220073, -4914, -52786, 18510, 22386, -65264, -18282, -21783, 160777, 86352, 7191, -4375, 48304, -9108, -14578, -7981, 24282, -2791, 49, 19674, -115311, -61601, -32931, -27429, -20788, 15057, 227288, -19976, 17496, -48706, -913, -15663, -40663, 98216, 7581, -99068, -87040, 10107, 6693, 24423, 21399, -40114, 139881, -5208, -96554, 82270, 3528, -158166, -37986, -7212, 96209, 698, 7869, 13307, 105335, 3078, 37745, -56634, -10410, -42099, 5278, -7383, 157248, -40130, -24147, 2034, -58283, -1617, 136952, 93060, -81261, 1843, 50280, 19314, -24486, -12841, -54003, 19314, 126620, 71046, 203287, 224, -7479, -99086, -24518, -9249, 68070, -33172, -14805, -189478, -56300, 23859, 165414, 59115, -105060, 980, 153063, 40812, 128034, 3280, 36936, 25053, -2870, 31008, -38149, 53379, -29988, -16491, 241274, 7371, 77931, -3253, -31227, 160666, 114570, -13209, -33894, 57336, 12834, -62456, 31629, 11886, 90459, 29225, 50970, -71, 210130, -828, -239100, -109209, -3864, 2088, 260043, 34146, 316189, -114038, 9234, 14371, 242236, 8286, 15257, 155455, 81894, 54638, 14700, -13545, 196241, -35598, -32865, 81469, -41235, 16779, -106034, 1771, 9486, 76002, -130467, -70542, -46585, -39841, 66231, 22532, 43100, 9369, 108941, -9884, 56637, -69164, 235033, -25266, 76746, 13164, 11214, -120834, -145429, -75480, 16215, 191974, -6705, -42189, 5280, 29025, 76300, -86720, -7809, -34545, 7161, 58014, 127838, -74520, -7857, -189560, 14702, 9261, 124343, 45369, -83388, -26446, -135632, -8073, 38850, 48838, 33921, -37420, 82732, 95241, 291204, -2464, 13194, 165192, 96444, 31596, -47198, 31096, 8526, -95528, 166554, 8667, 161343, -126128, -163233, 7875, 4232, 67515, 50532, -125268, 1332, -35063, -49140, 92430, -27912, -96292, 17604, 186592, -122943, 10710, -70346, 180901, -4581, 28388, 123452, 22389, -6321, -48402, 28782, -18377, 31900, 56109, 116665, -20482, 89679, 39504, -119696, -5625, -352008, -26963, 10899, -46324, 61624, 32832, -75101, 156905, 63, -28616, 139041, -6909, -94321, -43425, -12282, 229298, -11389, 19359, 67056, -79451, 38847, -24370, 155796, 16380, 43438, 101576, -52281, 167112, -217561, -23508, -15582, -15278, 108309, -159674, 7201, 31401, -132164, -10143, 131547, 29215, -78898, 11913, -94999, -39142, 4536, -183427, -119723, -18951, 221579, -46138, -54387, -20664, 191901, 17109, -206201, -6474, 68952, -41142, -20062, 93240, -9338, -75647, 6786, -50700, 1596, -15834, -134855, 215486, -61659, -119438, -121106, -2079, 777, -86883, 152364, 28712, -28202, 69036, 116939, -16394, -31482, -309390, -107360, -11730, -74509, 91822, 19845, -36510, 61173, 288, 62812, -4490, -122028, -18998, 473670, 58698, -212325, -167016, -19035, 198987, -69902, 58626, -35360, -135650, -138147, -268260, -11937, 1260, -64323, -77110, -55518, -77398, 245184, 43392, -68299, -59155, -3690, 115748, -190153, 79422, 113721, -4312, 27291, 240580, -145085, 9477, -582922, 29558, -10668, -17940, 342743, -61938, -24207, -16405, -43578, 17346, -55908, 15906, -332512, 137870, 35835, -95532, -121345, 37575, -140503, -145544, 119487, 144085, 124841, 16086, -235759, 55684, -4968, -164922, -9054, -49746, -84329, -20547, 98685, -98538, -173005, 18477, 5514, 23233, 243189, -20907, -16380, -47430, -137487, 40477, 18900, -188053, -77167, -102483, -248127, 17342, -32355, -26306, -96266, 21573, -341518, -57504, 19719, 223514, -5586, 89520, -28877, -104086, -59895, -147409, 5996, 38556, -3184, 32134, -35886, -143998, -162453, -12708, -21735, 43016, 134136, -133616, 268173, 67455, -68022, -23443, 14418, 152273, -369828, 45495, -295341, 118582, 3633, -233546, 296207, -54243, -159243, 69778, -188718, -44156, -81930, -1380, 97838, -622, 9207, 31191, -44429, 100734, -111659, 104597, -248883, -43286, -1201, 11907, -254098, 219900, 837, 6220, 228867, 12273, -66934, -204420, 49950, -29500, 11684, 80310, -66260, -21014, 70494, -176093, -195670, -3168, -237467, -70576, 16905, 222014, 302334, 2892, -113118, 233774, 10962, -40313, -14563, 93198, -25841, -223508, 51738, -17618, 87724, 10125, -268002, 39545, -30585, -132563, 241111, 13755, -367999, 357115, -63180, 41636, -191485, -5220, 13034, 109953, 151830, 46708, -415477, 13770, -81247, 36127, -20700, 240324, -115246, 36372, -195548, -123550, -8127, -264718, 237632, -108009, 132094, 192092, -22758, -36701, 161419, -26334, -6421, 223906, 7812, 131546, 13433, 2859, -50462, -42228, 14013, 174659, -585469, -27090, -463351, 338036, -40893, -182918, -135224, -36792, -81592, -187014, 240753, 45321, -15287, 211290, 102109, 19845, -14643, -92348, -148071, 25440, -3979, 364782, 6657, -42974, -35411, 21060, 225710, 99430, -11112, -132853, 172596, 103386, 64990, 30900, -20034, 122964, 2135, 1767, 200081, -75055, -298110, -134051, -191134, -13041, 177332, 103714, 156939, 143884, 219925, 78069, 10696, 162718, 5832, -87680, -28491, 130977, 265347, 57232, 102003, 162042, -15750, -26568, -176329, 86177, 11907, -376104, -18515, 88332, 283938, -304012, -25794, -64120, -190413, 97302, 24868, -74616, -86133, 82312, -70763, -20358, -269062, 188208, -27765, 308029, -314266, 37842, -71885, 132128, 999, -15065, 19532, -61536, -117411, 74037, -4176, 286326, 30802, -21078, -41469, -287, 236019, -65964, 98851, -78306, -151817, 100580, 25515, -116606, 79971, -34674, -411469, 126939, 8901, -8918, -373130, -24426, 81700, -208844, 24987, 495114, -89677, -39930, 149498, -7200, -89874, -176038, 91037, 12558, 251907, 450841, 40881, -57672, -477781, 1620, -101689, 29670, 260250, -15980, -208641, 21795, -178694, 33628, -87813, 179508, -499098, 12282, 311242, -105413, 12138, -340534, 148057, -5544, 201527, -110537, 255, -6468, 138137, 57858, -7291, 72746, -13716, 228958, 31752, -45150, 105450, 208995, -302109, 193319, -409344, 22302, 6354, 6544, 23574, -227025, 119227, -24690, -83223, -333783, -156015, -17575, -401434, 14283, 401278, 38717, -13797, -223169, -129492, 20682, -182549, 120786, -27783, 360889, 290674, -24429, 28819, -56806, -108423, 7616, 306013, 21168, -212857, -24207, -275289, 25435, -13041, 29871, 188436, -391430, 197811, -142664, -367358, 5586, 24727, 199681, 24300, 152347, -246892, -78918, -75579, 219557, 85839, 149414, -727979, -33822, 216633, 12712, 51129, -41446, 620941, -18717, -319861, -23384, -7182, -186058, -244094, -118872, -237464, 21148, -26442, -33761, -194503, 49572, 367669, -86116, 123582, 134259, 134533, -73620, -271888, -324080, -27945, 318518, -459137, -24150, 190159, 27474, 95733, -112910, 161580, -30141, -13573, 65014, 227058, 98001, 97132, 234, 728812, 29246, 4671, -43992, -292619, -59877, -265761, -13754, 16695, -80378, -395730, -56772, -274757, 58554, 2127, -32067, 3224, 13989, 101445, -448588, -57123, 267572, 91763, 122619, -76073, -69660, -133014, -9402, -370561, 15309, -13294, 341342, 100665, -41202, -99617, 15807, 34118, 91174, -86058, 20100, -326853, 84156, -107795, 13377, -115782, 474484, 43995, -27018, -461601, -51406, -21840, -135589, 439101, -24426, -82104, 189330, 21735, -163646, 43136, 84606, 321497, 75496, -315483, 283717, -41468, -51831, 290965, -162579, 76776, 224985, 94755, 36918, -16905, 79118, 112788, -149016, 30429, -44004, -45318, -163124, 244626, -93373, -44882, 17685, 219955, 51905, 110184, -9554, -331051, -167004, -108306, 215103, 16758, 273067, -431591, 31680, 20043, 3672, -11529, -6118, 568011, 46449, 193203, 407246, 282576, 453916, -182966, 96471, -120871, -193407, -10449, -256242, -3091, 22638, 123392, 90759, -135738, -52540, -98068, -47187, -7882, -257654, 7866, 276689, 241093, 1488, 376627, -31668, 17271, 183466, 146012, -67830, 141043, 70655, -40320, -106813, 475777, -34830, 492392, 311475, -158295, 17003, 349127, -26151, -308910, 26450, -104904, 367318, -114212, -53844, -194413, 146131, -412731, 346006, -477159, 25515, 414817, -57430, 257739, -79308, 662977, 100785, -81851, -86807, 8559, 300540, -233423, -14637, -18285, 74571, 19872, -131174, 489749, -170811, -550820, 402262, -64176, 30068, 119940, 35694, 208446, 239666, 2745, 10836, -57253, 48780, -3479, 3298, -435819, 184968, -14259, -16767, 147013, -648372, 172911, 59273, 128466, 29400, 154036, 201708, 13752, 62624, 72150, 42597, -257033, 314882, -88200, 263996, 284391, 73584, 674485, 140238, -54876, 12615, 23920, 18054, 653807, -363239, 15309, -574034, 516488, -308406, -112549, 163905, -337062, 50624, -7065, -82440, 259167, -26704, 271113, 322596, -69055, -71115, -86557, -15795, -90981, -40434, 155006, 15729, 278937, 428978, -58545, 276990, -314709, 48654, -108626, 269738, 268953, 21954, 424483, -164565, 504765, -82180, -150957, 156099, -297757, -63342, -369437, -83263, -18354, 175662, 11914, -369, 696889, -24488, -103305, 19180, 977640, -145446, 468487, -70540, 32805, 325816, 136283, -128466, 588108, -119886, -373191, -62937, 232180, -11466, 70466, -24794, 215841, 210190, -554211, 134097, 52234, -109694, -115299, 155489, 267338, 17394, 367509, -50827, -77292, -135668, 428088, 16146, 170695, -239278, 16779, -136072, -500015, -238704, 44160, 13128, -130743, -21252, 591127, 37116, -3330, -46386, -273540, 221615, 56658, 43236, -33310, -81252, 286380, 235833, 213707, 45906, -136165, -45578, 15606, -4304, -550712, -27945, -76839, -279743, 59115, 251568, -285298, -8316, 918107, 35133, -148389, -17023, 605907, -181812, 45990, 381982, 40824, 111011, 378338, -119313, 33192, 41507, -86433, -36547, 70288, 28674, -28863, -166805, -115014, 22550, 17689, -23550, -548554, -171796, -107001, 128164, -295180, 23583, 177571, 355973, 85665, -152852, -114725, 49779, 49931, -352776, 256845, -32200, 165388, 2682, 331608, -12152, -35721, 440412, -249327, -24375, -517144, -388780, 8232, -155798, 523449, 9792, 319568, -102523, -455370, -16828, 50089, -32610, -233288, -250628, -16767, 364426, 18361, -270747, -272569, -406422, -198681, 413092, -411180, 7182, 443832, -268952, 395418, 63182, 384788, -240417, -24290, 172712, -97173, -520160, 268336, -36480, 97738, -17227, 107988, -2184, -373647, 16344, -407181, -28138, -56343, 23118, 313461, 24420, 264223, -492045, -9234, -3773, 95835, -135480, -310088, 32534, -449118, 41197, -189609, -43407, 20102, -205086, 98136, 14888, 384883, 45066, 13324, -80594, 172971, 282660, -672565, -36468, -126007, -204240, -28641, -222990, 147585, -31050, -693751, 165774, 33411, 131466, 38434, 12558, -339543, -521402, -17451, 77515, -628779, -359562, -185862, 63654, -155082, -21581, 592399, 37602, 539525, -282057, 259311, 600313, -34545, -9693, 85721, 232736, 21465, 207500, -18377, 55671, -53100, -421861, 71631, -75118, -140344, -41229, -245140, -296660, 244437, 108738, 92668, -190818, -161913, 95228, 117981, -228544, -727097, 59682, -199548, 502930, 86184, -50278, -240774, 19683, -16829, 121800, -122142, 72352, 27418, -246054, -454400, -338538, 43866, -140645, -69972, -64746, -100637, -477648, -29460, 256861, 158217, 17199, -454796, -262863, -44712, -43260, -322835, 154914, -72863, -517436, -28080, 389799, -14889, -110160, -179646, -30821, 188268, -112452, 636444, -210402, 169255, -440542, 29946, -266026, 173136, -249570, -156013, -25829, -53316, 27734, -263362, -183948, -624534, 427581, -102309, -152040, 118930, 47466, -811232, -656800, 265221, 507800, -270193, -1932, -107181, -571604, -58266, -277815, -637477, -370152, -9016, 195390, 248553, -161870, 575951, 66735, -9445, 79674, 139992, 81750, -110693, -199443, -674042, 484102, 21546, -225153, -441774, -70248, -412820, -33734, -440325, 19334, -10789, -7866, 430778, -16526, -31857, -109200, 191086, 84408, -271993, -89308, -235242, 362725, -669893, -31605, 371893, 82290, -15816, 639938, 227795, 29106, -76685, 16173, 10305, -706914, 61709, 29532, -49878, 39151, -10134, -118170, -473968, 39507, -354352, 10888, 22134, 35598, -435255, -40716, 139270, 103953, -190293, -164598, -87133, -16833, -63679, 79362, -51840, -49358, 154539, -169242, -926543, 556131, 127827, 459554, -84297, 21861, -29403, -179968, 36357, 134909, 333099, -144444, 132153, -216627, -146844, -36835, 247918, -48960, -312460, -58954, 19113, 360946, -244492, 32805, -655836, 246320, 26166, -227802, 176935, -279372, 98909, -47633, -105237, -176120, 500837, -275016, 162557, 37564, 94257, 346238, -15645, 95877, 635895, -60973, 348534, 317050, -286193, 67725, -145071, 131962, -82512, -278725, -212840, 25782, -18221, -219361, -14700, -143622, 389768, 13932, -540217, 135366, -30978, -434677, 113503, 138381, -94392, -762819, -18333, -145560, -356102, -239928, 455110, 233274, -360579, 21609, 547933, 37800, 70553, 132991, 210543, 108568, -194572, -273684, -634173, -10850, -330471, 586876, -644443, -18837, -575775, -105324, 322599, 6594, 275361, 180306, 79149, 311084, -94257, -124784, 352488, 143454, 17946, 222229, 19683, -90544, -578921, -49371, 787960, 469765, 30786, 137916, -32798, 65088, 985096, -802403, -502989, 73724, 428041, 7836, -241179, 405678, -88785, -327398, 19894, 504, -782638, -70612, 119085, 600460, -676731, 20223, 668352, -204340, 141522, 2116, -117384, -21414, -380877, -257034, -139662, 524263, 12012, -73803, -1050833, 157535, 356325, 53313, 917715, -105660, -136200, -15242, 3108, 27942, -224380, -277530, -60385, -339200, -23598, 215670, -889498, 159852, 491367, -573626, 168018, 496038, 41076, 24660, -103176, -270734, 603258, 161114, 499185, 24990, 48153, 99168, 175221, 30900, 64310, -331716, -10689, 34615, 660219, 68977, 540581, -14742, -408778, 52241, -158358, -231178, 158081, 55530, 272248, -335000, 67158, -389636, -18358, -195792, -935735, 646046, -54846, 130921, -637707, -65349, -24242, 366416, 482331, 255960, 209251, 259056, -342374, -526832, 21573, 301237, -1039118, -13125, 330189, -269970, 144912, -313640, 226842, -27324, 25431, -633908, -43734, 326066, 62114, -23943, 608824, 76608, 72846, 317204, -129268, -8373, 51614, -119361, 147, 288376, -29745, 59022, 267764, 388836, -345933, -16121, 515240, -184803, 526664, -242560, -98793, -441430, -28658, -82287, 242616, 107968, -62364, 373336, 157089, 45171, 524688, -485020, 681864, 10575, 65635, -59928, 90643, -39247, 52488, -287977, -498571, -146118, -1387147, 38220, -2739, -74175, 147940, -46989, -166722, 712142, -121989, 612534, -659945, 294648, 549280, -154846, 22743, -54852, 53790, -297204, -236222, 420370, -261120, -382470, 252721, 30321, -762385, -221646, 20079, 179064, -229623, 73269, -768543, -529088, 64197, -230628, 12987, -120342, 306943, -256942, 419643, 150470, 64587, -15624, -46538, 27797, -289662, -198204, 940880, 246810, 572743, 20631, 10584, -181038, -876028, -474498, -150253, 362878, -113958, -44219, 277755, -21636, 579911, 6364, 288627, -49634, -126903, 2094, -1109361, 553411, 23607, -477631, -336347, 39921, -33718, -474576, 316005, -150385, 9113, 9234, 160888, -127944, 113235, 165255, 12521, -169902, -542359, 217560, -31230, 172889, -663108, -126297, -78939, 516966, 15834, -445830, 421215, -22149, 605450, -256542, 471744, -36946, -66783, -120390, 371871, -75659, -72441, -362514, -143871, 6102, -445423, -416796, -174849, 300499, 202484, -4851, 763236, 124220, 410856, -434074, -3404, 279180, 355516, -343382, -243783, 100679, -407551, 5529, -613906, 161084, 150840, 146702, 610553, 57942, 757696, -563266, -73458, -83233, -482767, -38523, -172800, -260858, -162009, -27370, 118846, 57942, 80296, 442973, 379860, 157894, 46305, 213138, -769206, 21836, 609861, 629741, 942989, 672, -632450, -205908, -22437, -217226, 13907, -297258, -284732, -94646, -73554, -136932, 272245, -27747, -753519, 136962, 204210, -628302, -64529, -99516, 649429, -270768, -44415, 309740, -285931, -568434, 1227903, 99254, -168900, 136794, 835925, 71577, 199006, 14375, 496242, -181560, -322343, 177345, 72359, 383736, -315180, -308320, -276779, 2940, 978027, -1027455, 459189, -307539, 699716, 122436, -129542, 288664, 384102, 371762, 252245, 9840, -161, 101248, 110808, -737585, 817607, 75159, -1344105, 390687, -8610, -760177, -970269, 93024, 1308647, 236858, -114447, 185318, -62559, 160137, -74449, -458796, -89964, 307842, 63679, -49473, 2995, 150766, 723822, 47202, 359944, 22113, -593970, -220399, 233793, -379770, 816462, -9759, -24892, -181908, -93681, 525807, 580520, 481998, 841934, -144522, 343710, -192272, 133607, -39627, 957707, 126746, -101682, -640150, 26914, 172008, -535813, 290100, 38502, 37114, 872911, -187368, -235813, 166808, 94887, -335574, 83615, 35658, 585138, -135630, 271377, -80247, -64406, 87675, 646528, 177760, 152910, 255960, -46575, -213, 278803, 164838, 630390, -15598, 1273723, -2484, -791885, 37534, -717300, 828354, 1155084, -327627, 33965, -382504, -11592, -417016, -523315, 6264, 45949, -299282, 780129, -116074, 579659, 102438, 919113, 19832, 948567, -240632, 230265, -342114, -338428, 92752, 27702, 565090, 346179, 43113, 840591, -43723, 726708, 168614, 171524, 24858, 567441, 799834, 45771, 226300, 1482766, 466365, -393984, -110670, 245682, -364814, 233008, 163914, 562034, 699258, 44100, -394040, -217344, -40635, -17342, -498386, 588723, -239127, 801931, -106794, -348609, -719, -98595, -359236, -75495, 244407, 202003, 606038, -123705, -880472, 862643, 50337, 918352, -186726, -318102, 560513, -117275, 5313, 46011, -1201016, 28458, 772767, -800835, 228006, -135431, 208880, -391401, 135852, 1182537, -211626, -220738, 149682, -139755, -182178, 829754, -119523, 601197, 169109, 198693, 89964, 80454, 67596, 629267, -338880, 129300, 407144, -83734, 28107, -226542, 273193, 326823]