# Trace form for 112.6.a.g, downloaded from the LMFDB on 18 April 2024.
[0, 1, 0, 14, 0, -56, 0, 49, 0, -47, 0, -232, 0, -140, 0, -784, 0, -1722, 0, 98, 0, 686, 0, -1824, 0, 11, 0, -4060, 0, 3418, 0, 7644, 0, -3248, 0, -2744, 0, -10398, 0, -1960, 0, -17962, 0, -10880, 0, 2632, 0, -9324, 0, 2401, 0, -24108, 0, 2262, 0, 12992, 0, 1372, 0, 2730, 0, 25648, 0, -2303, 0, 7840, 0, 48404, 0, -25536, 0, 58560, 0, 68082, 0, 154, 0, -11368, 0, -31784, 0, -45419, 0, 20538, 0, 96432, 0, 47852, 0, -50582, 0, -6860, 0, 107016, 0, -5488, 0, -58506, 0, 10904, 0, 38696, 0, -53060, 0, -38416, 0, 146324, 0, 92898, 0, -145572, 0, -83354, 0, 102144, 0, 6580, 0, -84378, 0, -107227, 0, -251468, 0, 174384, 0, -60384, 0, -152320, 0, 61586, 0, 4802, 0, 227360, 0, -204462, 0, 35406, 0, -130536, 0, 32480, 0, -191408, 0, 33614, 0, -20226, 0, -70904, 0, 80934, 0, -428064, 0, 293524, 0, 31668, 0, -89376, 0, -13192, 0, 181888, 0, -493612, 0, -351693, 0, -4606, 0, 240716, 0, 539, 0, 38220, 0, -294932, 0, -336980, 0, 359072, 0, 582288, 0, 399504, 0, -198940, 0, -358264, 0, -989554, 0, 109760, 0, -990050, 0, 840756, 0, 677656, 0, 167482, 0, 1005872, 0, 85728, 0, -22736, 0, -1150732, 0, 819840, 0, 609280, 0, 374556, 0, 953148, 0, 241080, 0, 824264, 0, -517, 0, -74382, 0, 1131956, 0, -159152, 0, -198726, 0, 522144, 0, -444976, 0, -482904, 0, 805910, 0, 350714, 0, -134456, 0, -13720, 0, 287532, 0, -430738, 0, 423168, 0, 1350048, 0, -1176910, 0, -509502, 0, -160646, 0, -1290976, 0, -126672, 0, -708148, 0, -1277556, 0, -1650544, 0, -96040, 0, -2552, 0, -1064090, 0, -359268, 0, -22342, 0, 2495738, 0, -76832, 0, -880138, 0, 1545427, 0, -819084, 0, -1931776, 0, -152880, 0, 941920, 0, 255360, 0, -533120, 0, 541744, 0, -1436288, 0, 459074, 0, -742840, 0, -667128, 0, -111034, 0, 128968, 0, -68778, 0, -792976, 0, 2048536, 0, -168756, 0, -1540, 0, 1300572, 0, -456876, 0, 564448, 0, 488706, 0, -2710624, 0, 2077294, 0, -1166956, 0, -1773408, 0, 117649, 0, 1430016, 0, 53248, 0, -2272004, 0, 568400, 0, 4006450, 0, -3279360, 0, -1181292, 0, -73784, 0, -2466495, 0, -1501178, 0, -3812592, 0, -1404312, 0, 844214, 0, 110838, 0, -1603234, 0, 2441376, 0, -478520, 0, 4770120, 0, -845376, 0, 2230788, 0, 636608, 0, 511360, 0, 4840242, 0, 3140928, 0, 862204, 0, 1779904, 0, 995820, 0, 67228, 0, -3316050, 0, -1070160, 0, 2543464, 0, 2412336, 0, 3072734, 0, -2862468, 0, 133770, 0, -1150128, 0, 495684, 0, -2814378, 0, 3058022, 0, 438228, 0, -18942, 0, 1256752, 0, 454720, 0, -1937496, 0, 3947902, 0, -2679712, 0, -178752, 0, 7417704, 0, -112847, 0, -1402692, 0, 2832592, 0, -283164, 0, -590574, 0, 4167184, 0, -992656, 0, 384160, 0, -2904842, 0, 6991320, 0, -922684, 0, -7182352, 0, -5992896, 0, 612570, 0, 2371796, 0, 4109336, 0, 2524160, 0, 1078, 0, -106314, 0, -2603300, 0, 1455720, 0, -1251264, 0, 3276336, 0, -5463088, 0, -184688, 0, -1640900, 0, -5885796, 0, -610624, 0, 2869440, 0, -2997964, 0, -6910568, 0, 6894048, 0, -2166976, 0, -4923702, 0, 2304764, 0, 3336018, 0, -397880, 0, 2971360, 0, 2163168, 0, 3370024, 0, -12096042, 0, -5484430, 0, 7546, 0, -13162968, 0, -3109367, 0, -128310, 0, 2514680, 0, -8194144, 0, -4129048, 0, -557032, 0, -6717994, 0, -4717720, 0, -5202288, 0, 5002352, 0, -1205456, 0, 334964, 0, -1557416, 0, 8152032, 0, 9019606, 0, 1523200, 0, 5593056, 0, -12405106, 0, 4667824, 0, -2225531, 0, 6488038, 0, 10228504, 0, -5015696, 0, -20064, 0, 2653378, 0, -13853756, 0, 1006362, 0, -524784, 0, -368480, 0, 14304374, 0, 749112, 0, -13860700, 0, -10026534, 0, 4725168, 0, 11770584, 0, 7522920, 0, 3386250, 0, -2274988, 0, 6004712, 0, 6908608, 0, 2344748, 0, 1305360, 0, -9688958, 0, 14082208, 0, -7847418, 0, 10197194, 0, 7405440, 0, -2478518, 0, -9799879, 0, -318304, 0, 17905356, 0, 8362576, 0, -16110248, 0, 3381504, 0, -336140, 0, -2752320, 0, 1102830, 0, -17135426, 0, 8529920, 0, 54964, 0, -633360, 0, 5243784, 0, -485166, 0, -3448816, 0, -3199854, 0, 2721360, 0, -2145248, 0, 3375120, 0, -268912, 0, -6234432, 0, 11539696, 0, -5950336, 0, 2927962, 0, -44660, 0, -13499220, 0, -2866794, 0, -1041348, 0, 5429724, 0, 11449872, 0, 15847384, 0, -316680, 0, -20827982, 0, 534296, 0, -1982736, 0, 30930564, 0, -2782164, 0, 23514066, 0, -1019004, 0, 7310016, 0, 1896104, 0, -19574670, 0, 1493848, 0, -13942656, 0, -1818880, 0, -6760656, 0, 26115180, 0, -2599940, 0, 11282740, 0, 37598, 0, -15412628, 0, 15946813, 0, 18735360, 0, -16986816, 0, -1882384, 0, -11229728, 0, -2015112, 0, -192080, 0, 15138072, 0, 1132656, 0, -965286, 0, 7169876, 0, -7214008, 0, -6030332, 0, 3970624, 0, -10969726, 0, 5924352, 0, 19244190, 0, 4552002, 0, -4532304, 0, -382200, 0, 8211854, 0, -16476740, 0, 18618656, 0, 84084, 0, -7133028, 0, -1760276, 0, -13585920, 0, -13877080, 0, -16437344, 0, -26250070, 0, -18073664, 0, -4084346, 0, -3590720, 0, -1773408, 0, -10037300, 0, 16055928, 0, 2377354, 0, -15795024, 0, 5005056, 0, -17885784, 0, 14088390, 0, -18143342, 0, -23107616, 0, 738752, 0, -1066240, 0, 322420, 0, -21366922, 0, -17801736, 0, -35728, 0, -16292124, 0, -2084992, 0, -14897260, 0, -4134522, 0, 27642272, 0, -31034640, 0, 22784972, 0, -8828425, 0, -312788, 0, 19694808, 0, -5254123, 0, 34940332, 0, 18965952, 0, -22697500, 0, 257936, 0, 25289950, 0, 10394734, 0, -12321932, 0, -43339944, 0, -13480096, 0, 21635978, 0, 7373888, 0, -6776560, 0, 2749782, 0, 8544816, 0, 37165930, 0, -27044864, 0, 9047850, 0, -32967860, 0, -2140320, 0, 16109884, 0, -2958816, 0, 10537208, 0, -913752, 0, 16516192, 0, 3575040, 0, 26127192, 0, -3895164, 0, -7463680, 0, 18870880, 0, 44728564, 0, -1818712, 0, 6605184, 0, -4764816, 0, -20108032, 0, 3017714, 0, 30892984, 0, 6427036, 0, -8198400, 0, -114378, 0, 2493820, 0, -4872154, 0, 235298, 0, -9339792, 0, -22372224, 0, -32500398, 0, -1554476, 0, -2640400, 0, 32762688, 0, 11140640, 0, 40817920, 0, -9531480, 0, -962892, 0, -6719830, 0, 20062784, 0, -11101664, 0, -10018638, 0, 29801585, 0, -6877228, 0, 55415024, 0, 2789792, 0, -2362584, 0, -33359382, 0, 1734894, 0, -21560, 0, -7600326, 0, 11735024, 0, -4366206, 0, 5797596, 0, 55442800, 0, -6396264, 0, 19845120, 0, -12682496, 0, 7902272, 0, -47082336, 0, 14440048, 0, 42215880, 0, 1591520, 0, -4701060, 0, -37948736, 0, 221676, 0, 18092062, 0, 29082116, 0, 22403444, 0, -9378992, 0, 3917638, 0, -34508244, 0, -44165100, 0, -24827712, 0, -197582, 0, 4449760, 0, 1647086, 0, 30609120, 0, 38484314, 0, -4800768, 0, -44165856, 0, 44520700, 0, 745472, 0, -991074, 0, 1273216, 0, -31808056, 0, 257138, 0, -59523340, 0, 6358660, 0, 64440992, 0, -3474296, 0, 56090300, 0, -22872926, 0, -4836048, 0, -45911040, 0, 13573392, 0, 20101648, 0, 3965766, 0, -35540364, 0, -119680, 0, -1032976, 0, -2875320, 0, 17006976, 0, -34530930, 0, -20975136, 0, -48438632, 0, 5039669, 0, -8380722, 0, -8781526, 0, -53376288, 0, -55221334, 0, 14382676, 0, -19660368, 0, 24112416, 0, -13500480, 0, 72925720, 0, 49001372, 0, -8977472, 0, 1551732, 0, -46158784, 0, 21272014, 0, -22445276, 0, 267540, 0, 46715858, 0, -8196048, 0, -4379424, 0, -21571406, 0, -6699280, 0, 12309920, 0, 4165392, 0, 66781680, 0, -83351688, 0, -646408, 0, 2838048, 0, -63389536, 0, -79482312, 0, 31231032, 0, 24855572, 0, -10607198, 0, 8912512, 0, 7081480, 0, 2513504, 0, 44172800, 0, 23972940, 0, 11128656, 0, 67763388, 0, -24186988, 0, -59591060, 0, 43972992, 0, -102564, 0, -33947168, 0, -2894542, 0, 8304660, 0, -17232957, 0, 24918656, 0, 47556620, 0, -61394116, 0, 13941480, 0, -44726766, 0, 27042624, 0, -225694, 0, -21552336, 0, -74355154, 0, -46424700, 0, -45130960, 0, -100840320, 0, -14982240, 0, 11795084, 0, 23852154, 0, -19639984, 0, -28848582, 0, -4125888, 0, 33772704, 0, -39241272, 0, 26411, 0, 43018276, 0, 84534542, 0, 44247364, 0, 9609714, 0, 768320, 0, 38851680, 0, 1872780, 0, -117237204, 0, 19338128, 0, -16101792, 0, -37187840, 0, 3423994, 0, -1664082, 0, -14451668, 0, 24121328, 0, -39401292, 0, -27462974, 0, 8190840, 0, 42812308, 0, -23697408, 0, -16512020, 0, 37855440, 0, -137301528, 0, 4743592, 0, -265188, 0, 8690528, 0, 64587348, 0, 17594528, 0, 100377000, 0, 65906960, 0, -1526560, 0, 48181758, 0, 81147878, 0, -27124944, 0, 28532112, 0, 34800798, 0, 55270628, 0, 78811320, 0, 80858888, 0, 8996176, 0, -119242438, 0, 19575696, 0, -2502528, 0, -5417440, 0, 72294656, 0, 103847856, 0, 26281192, 0, -30786098, 0, -9748060, 0, 24882, 0, 12981520, 0, -19637688, 0, 62240496, 0, -83166720, 0, 39656288, 0, -17554936, 0, 7428400, 0, 950622, 0, 54732048, 0, 71543136, 0, -8268036, 0, 5738880, 0, -48488146, 0, 58340576, 0, 92430464, 0, -4979520, 0, 3332488, 0, -17168690, 0, -31869432, 0, 5378240, 0, -82294552, 0, 38774447, 0, -40667788, 0, 38844066, 0, -40457088, 0, 78211518, 0, -48512450, 0, 39004298, 0, -12917576, 0, 59589040, 0, 6672036, 0, -100552928, 0, -20485360, 0, 41197044, 0, 20119008, 0, 14009088, 0, 18673592, 0, 8575980, 0, -46781952, 0, 1251152, 0, 33205144, 0, -107391406, 0, -35366436, 0, -13795628, 0, -139761328, 0, -13005720, 0, 35338240, 0, 8206618, 0, 40512328, 0, 15092, 0, 73902850, 0, 1292090, 0, -9183720, 0, -83139014, 0, 49287728, 0, -36446200, 0, 111017416, 0, -14287952, 0, 20380080, 0, -86543912, 0, -33647936, 0, 4200672, 0, -129603576, 0, -60555662, 0, 45868704, 0, -71272656, 0, -104136298, 0, -76483232, 0, -1114064, 0, 108179456, 0, 620024, 0, 11669560, 0, 128450320, 0, -22972600, 0, 30030, 0, -56385868, 0, -82401144, 0, -75229286, 0, -967806, 0, -52747520, 0, -79222752, 0, -31922618, 0, 40172160, 0, -13235218, 0, -14300160, 0, -41971496, 0, -164366820, 0, -3114832, 0, 23199764, 0, 29854720, 0, 47435184, 0, 96516672, 0, 104915104, 0, 87102204, 0, -30337664, 0, 186768876, 0, 18353244, 0, 16529571, 0, -8644224, 0, 282128, 0, 32266696, 0, -8214192, 0, 5004594, 0, 46704252, 0, -25708144, 0, 7731516, 0, -4451062, 0, -88288896, 0, -107111424, 0, 41599040, 0, 11812920, 0, -44996402, 0, 30284352, 0, 51457098, 0, 37359168, 0, -11313652, 0, -40091884, 0, 40388936, 0, -169344588, 0, 6217904, 0, -96799696, 0, -76782020, 0, -74500958, 0, 15011780, 0, -25333, 0, 2012724, 0, -19835824, 0, -184281552, 0, 6698928, 0, 3851568, 0, -43531138, 0, -3644718, 0, 113130240, 0, -11083800, 0, 44406656, 0, -56812810, 0, 35205520, 0, -40764318, 0, 55465844, 0, -114718016, 0, 148621136, 0, 191741578, 0, 13861804, 0, 31644256, 0, 9450336, 0, -7798448, 0, 95297884, 0, -30936982, 0, -94051916, 0, -24413760, 0, -21917322, 0, 15838060, 0, -9737574, 0, -106813440, 0, -72832032, 0, 26097288, 0, 4692432, 0, 70032928, 0, 17290728, 0, 25585056, 0, -104130880, 0, 100747332, 0, 8453760, 0, 4689496, 0, -31609088, 0, -52424722, 0, -21803824, 0, 16449728, 0, -47141480, 0, -27367536, 0, 80432728, 0, -180053944, 0, 126274484, 0, -23662296, 0, 532444, 0, 21324800, 0, -124181568, 0, 206777243, 0, -18776688, 0, -116328464, 0, 39489590, 0, -173671484, 0, -4957036, 0, 107736608, 0, 65349536, 0, -167100682, 0, 128458246, 0, 17184986, 0, -8622040, 0, 99310848, 0, 90832532, 0, 195434598, 0, 9331140, 0, 143199056, 0, -6588344, 0, -66634512, 0, 16838408, 0, 205197034, 0, -40600156, 0, -280896, 0, -68097568, 0, -672280, 0, 37147292, 0, 91592698, 0, -2981888, 0, 46509038, 0, 96950952, 0, -225295700, 0, 14089068, 0, 127232224, 0, 27045472, 0, -7346976, 0, 91369320, 0, 63156226, 0, -31830400, 0, -21106162, 0, 50706064, 0, 200261236, 0, 195426560, 0, -224361200, 0, 10487568, 0, 87664864, 0, 20735232, 0, 46532350, 0, 644160, 0, -83362958, 0, -140371476, 0, 28624680, 0, -183398768, 0, 66152352, 0, 41668448, 0, -197576826, 0, -39515532, 0, 3060544, 0, 4131904, 0, 105320880, 0, -57668590, 0, 121702270, 0, 47407500, 0, 138123720, 0, -4956840, 0, -196520240, 0, 219184042, 0, -24965598, 0, 84065968, 0, 57974016, 0, -251969928, 0, 96720512, 0, 230757352, 0, 748902, 0, -7871654, 0, 20868120, 0, -221800776, 0, 18275040, 0, 78641472, 0, 114517984, 0, -135645412, 0, -63257824, 0, -5733588, 0, -47275984, 0, 126392812, 0, -28634043, 0, -109863852, 0, -159970356, 0, -6206928, 0, 142760716, 0, 81592776, 0, 94076080, 0, 82844256, 0, 89781104, 0, 175669858, 0, -34699252, 0, -109289184, 0, -66225662, 0, -137198306, 0, -7902018, 0, -19624052, 0, 1068592, 0, -62600244, 0, 26797120, 0, 250674984, 0, -264054126, 0, 196053312, 0, 117076064, 0, -267126720, 0, -80876656, 0, 54084404, 0, -64562210, 0, -55846112, 0, 47341056, 0, -202322134, 0, -37461312, 0, -4705960, 0, -222052554, 0, -124924128, 0, -237753600, 0, 3792208, 0, 143535588, 0, 15439620, 0, -125048, 0, 167477688, 0, -239895964, 0, 308761362, 0, 213825166, 0, -28636160, 0, 2831640, 0, -52140410, 0, 769496, 0, 165444872, 0, -271053552, 0, -8867040, 0, -11334260, 0, -220325056, 0, -17604132, 0, -175891968, 0, -5199880, 0, -6792324, 0, -23520276, 0, 9926560, 0, -48283424, 0, -1094758, 0, 68424224, 0, -276412920, 0, -45937444, 0, -349624, 0, 38099040, 0, -141016610, 0, 122291162, 0, -30033472, 0, -55765920, 0, -167678210, 0, -11330760, 0, 78179360, 0, -104608770, 0, -3764768, 0, 111088338, 0, -204266560, 0, -87282048, 0, -284189992, 0, 185698800, 0, -38740408, 0, -43126762, 0, -221365008, 0, -83304704, 0, 59928960, 0, -155685318, 0, 40991468, 0, 101445120, 0, 75725923, 0, -499609, 0, 88282704, 0, 4863432, 0, -188989080, 0, 14339752, 0, -135090816, 0, -40135116, 0, -58199488, 0, -41093360, 0, 3495954, 0, -172073104, 0, 92261568, 0, 76016136, 0, -94657024, 0, 49163734, 0, 160298208, 0, 184644894, 0, 200158080, 0, -53201932, 0, 317400888, 0, -7491120, 0, -4433520, 0, 216655874, 0, 9104004, 0, -291591748, 0, 225918, 0, 370000176, 0, 46154080, 0, 215030442, 0, 21138984, 0, -27758304, 0, -174142880, 0, -220327030, 0, 433027896, 0, 12512640, 0, 157605168, 0, 9340122, 0, 85163694, 0, 83117248, 0, 329196924, 0, -171249232, 0, -26122880, 0, -14266056, 0, 574272, 0, -259941542, 0, -24540768, 0, 232704276, 0, 1846880, 0, 26545456, 0, 229576528, 0, -300289248, 0, -274045380, 0, -131108766, 0, 349363462, 0, 129043040, 0, -70378112, 0, -228141518, 0, -195197184, 0, 336301056, 0, -340445240, 0, -25464320, 0, -8168692, 0, 22494626, 0, 22696488, 0, 424471734, 0, 108499776, 0, 365612520, 0, 103981248, 0, 149519230, 0, -36399160, 0, -221082512, 0, 229691600, 0, -37877770, 0, 69105680, 0, -40630044, 0, 526372, 0, -32689272, 0, -243529360, 0, -215776792, 0, -28386540, 0, 10010112, 0, 138031880, 0, -195055392, 0, -5440666, 0, 262295040, 0, -415391424, 0, 101218040, 0, -237815424, 0, 447632640, 0, 223287106, 0, 6319432, 0, 78842368, 0, -142408031, 0, -157216192, 0, -98475606, 0, 78550752, 0, -28211568, 0, -3370122, 0, 23920390, 0, 644840, 0, -556402, 0, -106051092, 0, 211933008, 0, 106714944, 0, -38855824, 0, 15857184, 0, -179971854, 0, 140698852, 0, -83384280, 0, 178786566, 0, 33072144, 0, 100378264, 0, -33700240, 0, -154289500, 0, -100996112, 0, -233362304, 0, -266687904, 0, 20244686, 0, -8269044, 0, 520418808, 0, 55588736, 0, -94839262, 0, -224401630, 0, -153576164, 0, 142325106, 0, -75460, 0, -19888896, 0, -24610560, 0, -34959526, 0, 269418660, 0, 162671152, 0, -167101228, 0, 63728028, 0, -108637712, 0, 371490526, 0, -391513920, 0, -331416202, 0, -10508246, 0, -5350800, 0, -22386924, 0, 51670304, 0, 114965956, 0, 391310892, 0, -69891712, 0, 55314770, 0, 402211712, 0, 27657952, 0, 260661184, 0, 266969824, 0, -70581504, 0, 1177176, 0, 41290480, 0, 352083564, 0, 23946594, 0, 398783522, 0, -34303920, 0, -24643864, 0, 385410464, 0, -41030612, 0, -190202880, 0, -132820576, 0, 133867016, 0, -155242142, 0, 427945224, 0, 47177200, 0, -230122816, 0, -16480912, 0, 101787406, 0, -367500980, 0, -60969132, 0, -141352960, 0, 60675872, 0, 96781440, 0, 22770398, 0, -57180844, 0, 17089632, 0, -390482406, 0, -50270080, 0, -387706898, 0, -367437084, 0, 5953584, 0, -86896992, 0, 299869630, 0, -140522200, 0, 191548322, 0, 145784800, 0, 224782992, 0, -452285988, 0, 5764801, 0, 205362920, 0, -81520320, 0, 70198884, 0, -221130336, 0, -59806278, 0, -5917632, 0, 70070784, 0, -24271726, 0, -49036260, 0, 60045132, 0, -172440144, 0, -643566, 0, 197237460, 0, 2609152, 0, -55930560, 0, -254006788, 0, 305932928, 0, -51410994, 0, 77575568, 0, -504028910, 0, -111328196, 0, 10342528, 0, -47305728, 0, -242956896, 0, -14927360, 0, -191229248, 0, 91890400, 0, 27851600, 0, -386245052, 0, -266894976, 0, -299136908, 0, 329604576, 0, -405410558, 0, -249224304, 0, 196316050, 0, 470445238, 0, 119944, 0, -295903636, 0, -503304792, 0, -228089736, 0, 50156960, 0, -160688640, 0, -29189888, 0, 6035428, 0, -21090888, 0, 50012230, 0, 167885984, 0, 17256624, 0, -57883308, 0, -460689376, 0, 285156080, 0, 386991808, 0, -169445952, 0, 138537560, 0, -347182836, 0, -3615416, 0, -386066688, 0, 318989608, 0, -262613792, 0, 379937574, 0, -123597950, 0, 425656, 0, -120858255, 0, 1050074, 0, 30924732, 0, 34829172, 0, 275727312, 0, -29702400, 0, -50440194, 0, -73557722, 0, 90990672, 0, -129066784, 0, -117299686, 0, -574960146, 0, 196823704, 0, 265523328, 0, -186817008, 0, 87416662, 0, -317765000, 0, 138607000, 0, 46104432, 0, 22281280, 0, 122096688, 0, -68811288, 0, 354059300, 0, 156992472, 0, -583660, 0, 145526276, 0, -61511758, 0, -172889276, 0, 41366486, 0, -121137408, 0, -117705840, 0, -606759216, 0, 251584856, 0, 300748826, 0, -188721344, 0, 5431062, 0, 152037696, 0, -72635069, 0, -20037276, 0, 677378352, 0, 103234432, 0, -226639434, 0, -78558466, 0, -94871840, 0, 307128080, 0, -28085442, 0, 237534360, 0, -559059844, 0, -279050240, 0, 119627424, 0, -608906880, 0, 112033728, 0, 520323020, 0, 209207238, 0, 737126208, 0, 90793472, 0, -23447480, 0, 3469788, 0, 126669900, 0, 174124552, 0, 294887192, 0, -461550040, 0, -186971120, 0, 233735880, 0, 7185360, 0, 373394834, 0, -150627330, 0, 225538376, 0, 425925304, 0, -140822080, 0, -41423424, 0, -505448328, 0, 388792984, 0, -81365648, 0, 1609564, 0, -537651128, 0, -12792528, 0, 109308612, 0, -136029380, 0, 231226688, 0, 88376820, 0, 548920990, 0, -12001920, 0, -372194088, 0, 31193792, 0, 365780688, 0, 218913540, 0, -707916636, 0, -54532296, 0, 376207664, 0, 717856006, 0, 25056640, 0, -229114568, 0, 710761570, 0, 264192320, 0, 3183040, 0, -376944820, 0, 626199896, 0, 237171858, 0, 1021878, 0, -157105760, 0, 610986726, 0, 104995812, 0, 92472576, 0, -280131712, 0, 153905472, 0, -66707424, 0, -659115582, 0, 161102480, 0, 67505536, 0, -869432648, 0, 714635936, 0, 42247996, 0, -580539214, 0, -18757984, 0, 432501776, 0, -386648808, 0, 99931216, 0, -21576478, 0, 87215296, 0, 163865264, 0, -114777600, 0, 22716624, 0, -25454520, 0, -1601292, 0, -4963938, 0, 48795180, 0, 215423600, 0, 195582048, 0, -505097936, 0, -68210156, 0, -17774988, 0, -40778500, 0, 3294172, 0, -85299200, 0, 431984526, 0, 31355016, 0, 392830622, 0, -37552634, 0, -313211136, 0, -162486450, 0, -413078849, 0, -455005572, 0, -199973508, 0, 694685936, 0, 5218598, 0, 591109806, 0, -52437840, 0, -36965600, 0, -916894, 0, 273043120, 0, 458677632, 0, -1982148, 0, -362159014, 0, 124629736, 0, -244222198, 0, 849999864, 0, 571450880, 0, 199454008, 0, -363330128, 0, -133440720, 0, 118204464, 0, 131868068, 0, 3232566, 0, -572796224, 0, -505194198, 0, -94077620, 0, 259521444, 0, 150563966, 0, 280878976, 0, -239141952, 0, -6948592, 0, 37269872, 0, 605615346, 0, -318076416, 0, -140260932, 0, -418838760, 0, -526635520, 0, 417222190, 0, -148589168, 0, -3455732, 0, -594075440, 0, 6554730, 0, 299506432, 0, 775810336, 0, -575293194, 0, -115396960, 0, 39057088, 0, -738623424, 0, -56356272, 0, 7931532, 0, 620411058, 0, -1051854720, 0, -467031348, 0, 29387904, 0, 37535008, 0, 24288516, 0, 110140416, 0, 330490032, 0, 72380, 0, 75936208, 0, 132262928, 0, -106404564, 0, -137904522, 0, -801044944, 0, 164290336, 0, 688612582, 0, -414512952, 0, -377165880, 0, -41950272, 0, 149843078, 0, 81166344, 0, 10413480, 0, 300982262, 0, 776199200, 0, -763452984, 0, 296392992, 0, 21473172, 0, -556018432, 0, 561485904, 0, 277831680, 0, 182454666, 0, -836521434, 0, -177554944, 0, -928158, 0, -158473840, 0, -26529056, 0, 382926208, 0, 28765352, 0, -659152704, 0, -181359080, 0, 61580848, 0, 202160672, 0, -1222888884, 0, -421283520, 0, 472266762, 0, -494044572, 0]