# Fourier coefficients... 'F389' # Coeff Disc Reduced form Unreduced form -2 -4 1, 0, 1 1, 115 13226, 230, 1 1 -7 1, 1, 2 1, 46 4279, 185, 2 -1 -11 1, 1, 3 1, 59 10503, 355, 3 -2 -16 1, 0, 4 1, 137 75077, 1096, 4 -3 -19 1, 1, 5 1, 267 356713, 2671, 5 -5 -20 1, 0, 5 1, 33 5446, 330, 5 5 -20 2, 2, 3 1, 314 296418, 1886, 3 -1 -24 1, 0, 6 1, 18 1945, 216, 6 -1 -24 2, 0, 3 1, 36 3890, 216, 3 5 -28 1, 0, 7 1, 82 47069, 1148, 7 4 -35 1, 1, 9 1, 175 275801, 3151, 9 -6 -35 3, 1, 3 1, 136 55627, 817, 3 0 -36 1, 0, 9 1, 221 439570, 3978, 9 0 -36 2, 2, 5 1, 242 293306, 2422, 5 3 -44 1, 0, 11 1, 286 899757, 6292, 11 3 -44 3, -2, 4 1, 106 44735, 846, 4 -7 -44 3, 2, 4 1, 300 360603, 2402, 4 3 -52 1, 0, 13 1, 341 1511654, 8866, 13 -7 -52 2, 2, 7 1, 133 124091, 1864, 7 3 -55 1, 1, 14 1, 285 1137436, 7981, 14 3 -55 2, -1, 7 1, 70 34232, 979, 7 3 -55 2, 1, 7 1, 181 229510, 2535, 7 -7 -55 4, 3, 4 1, 122 59906, 979, 4 -1 -59 1, 1, 15 1, 166 413507, 4981, 15 -1 -59 3, -1, 5 1, 187 174661, 1869, 5 -1 -59 3, 1, 5 1, 109 59517, 1091, 5 -5 -63 1, 1, 16 1, 323 1669588, 10337, 16 5 -63 2, -1, 8 1, 14 1556, 223, 8 -5 -63 2, 1, 8 1, 257 528651, 4113, 8 5 -63 4, 1, 4 1, 125 62629, 1001, 4 2 -64 1, 0, 16 1, 126 254017, 4032, 16 2 -64 4, 4, 5 1, 325 529429, 3254, 5 -2 -67 1, 1, 17 1, 303 1561057, 10303, 17 3 -68 1, 0, 17 1, 31 16338, 1054, 17 3 -68 2, 2, 9 1, 361 1173613, 6500, 9 3 -68 3, -2, 6 1, 88 46291, 1054, 6 -7 -68 3, 2, 6 1, 347 723151, 4166, 6 -1 -76 1, 0, 19 1, 187 664412, 7106, 19 -1 -76 4, -2, 5 1, 244 297196, 2438, 5 -1 -76 4, 2, 5 1, 88 38900, 882, 5 3 -79 1, 1, 20 1, 220 968221, 8801, 20 3 -79 2, -1, 10 1, 90 80912, 1799, 10 3 -79 2, 1, 10 1, 51 26063, 1021, 10 3 -79 4, -1, 5 1, 180 161824, 1799, 5 -7 -79 4, 1, 5 1, 102 52126, 1021, 5 0 -80 1, 0, 20 1, 178 633681, 7120, 20 0 -80 3, -2, 7 1, 342 818067, 4786, 7 0 -80 3, 2, 7 1, 175 214728, 2452, 7 0 -80 4, 0, 5 1, 323 521649, 3230, 5 -3 -87 1, 1, 22 1, 125 343876, 5501, 22 -3 -87 2, -1, 11 1, 144 227954, 3167, 11 -3 -87 2, 1, 11 1, 250 687752, 5501, 11 7 -87 3, 3, 8 1, 295 697088, 4723, 8 -3 -87 4, -3, 6 1, 329 648463, 3945, 6 7 -87 4, 3, 6 1, 134 108142, 1611, 6 -6 -91 1, 1, 23 1, 55 69631, 2531, 23 4 -91 5, 3, 5 1, 175 153655, 1753, 5 4 -95 1, 1, 24 1, 4 389, 193, 24 4 -95 2, -1, 12 1, 235 662467, 5639, 12 4 -95 2, 1, 12 1, 8 778, 193, 12 4 -95 3, -1, 8 1, 158 199557, 2527, 8 4 -95 3, 1, 8 1, 12 1167, 193, 8 -6 -95 4, -1, 6 1, 81 39289, 971, 6 -6 -95 4, 1, 6 1, 16 1556, 193, 6 -6 -95 5, 5, 6 1, 275 455130, 3305, 6 4 -96 1, 0, 24 1, 380 3465601, 18240, 24 -6 -96 3, 0, 8 1, 362 1048355, 5792, 8 -6 -96 4, 4, 7 1, 80 45124, 1124, 7 4 -96 5, 2, 5 1, 190 180885, 1902, 5 -3 -99 1, 1, 25 1, 208 1081809, 10401, 25 -3 -99 5, 1, 5 1, 262 343487, 2621, 5 2 -100 1, 0, 25 1, 23 13226, 1150, 25 2 -100 2, 2, 13 1, 104 140818, 2706, 13 -5 -111 1, 1, 28 1, 297 2470150, 16633, 28 5 -111 2, -1, 14 1, 344 1656362, 9631, 14 5 -111 2, 1, 14 1, 205 588557, 5741, 14 5 -111 3, 3, 10 1, 248 615787, 4963, 10 5 -111 4, -1, 7 1, 299 625512, 4185, 7 -5 -111 4, 1, 7 1, 21 3112, 295, 7 -5 -111 5, -3, 6 1, 349 729764, 4185, 6 -5 -111 5, 3, 6 1, 154 142763, 1851, 6 -2 -112 1, 0, 28 1, 348 3390913, 19488, 28 -2 -112 4, 0, 7 1, 225 354379, 3150, 7 -1 -119 1, 1, 30 1, 301 2718332, 18061, 30 -1 -119 2, -1, 15 1, 239 856578, 7169, 15 -1 -119 2, 1, 15 1, 213 680750, 6391, 15 9 -119 3, -1, 10 1, 164 268799, 3279, 10 -1 -119 3, 1, 10 1, 125 156378, 2501, 10 -1 -119 4, -3, 8 1, 351 984559, 5613, 8 -1 -119 4, 3, 8 1, 302 730542, 4835, 8 -1 -119 5, -1, 6 1, 14 1167, 167, 6 -1 -119 5, 1, 6 1, 338 685807, 4057, 6 -1 -119 6, 5, 6 1, 208 260630, 2501, 6 -7 -120 1, 0, 30 1, 235 1656751, 14100, 30 3 -120 2, 0, 15 1, 81 98417, 2430, 15 3 -120 3, 0, 10 1, 316 998563, 6320, 10 -7 -120 5, 0, 6 1, 8 389, 96, 6 9 -127 1, 1, 32 1, 257 2113826, 16449, 32 -11 -127 2, -1, 16 1, 198 627068, 6335, 16 -1 -127 2, 1, 16 1, 125 250127, 4001, 16 9 -127 4, -1, 8 1, 7 389, 111, 8 -1 -127 4, 1, 8 1, 250 500254, 4001, 8 -2 -140 1, 0, 35 1, 379 5027436, 26530, 35 -2 -140 3, -2, 12 1, 133 212005, 3190, 12 -2 -140 3, 2, 12 1, 68 55627, 1634, 12 8 -140 4, -2, 9 1, 307 847631, 5524, 9 -2 -140 4, 2, 9 1, 350 1103204, 6302, 9 -2 -140 5, 0, 7 1, 339 804452, 4746, 7 -5 -143 1, 1, 36 1, 113 459798, 8137, 36 5 -143 2, -1, 18 1, 118 250516, 4247, 18 -5 -143 2, 1, 18 1, 226 919596, 8137, 18 -5 -143 3, -1, 12 1, 177 375774, 4247, 12 5 -143 3, 1, 12 1, 339 1379394, 8137, 12 5 -143 4, -1, 9 1, 236 501032, 4247, 9 5 -143 4, 1, 9 1, 63 35788, 1135, 9 -5 -143 6, -5, 7 1, 137 130704, 1913, 7 -5 -143 6, 1, 6 1, 289 501421, 3469, 6 5 -143 6, 5, 7 1, 303 644184, 4247, 7 0 -144 1, 0, 36 1, 305 3348901, 21960, 36 0 -144 4, 0, 9 1, 53 25285, 954, 9 0 -144 5, -4, 8 1, 303 733265, 4844, 8 0 -144 5, 4, 8 1, 108 93749, 1732, 8 -4 -159 1, 1, 40 1, 159 1011400, 12721, 40 -4 -159 2, -1, 20 1, 143 408839, 5719, 20 -4 -159 2, 1, 20 1, 318 2022800, 12721, 20 6 -159 3, 3, 14 1, 93 121368, 2607, 14 6 -159 4, -1, 10 1, 286 817678, 5719, 10 -4 -159 4, 1, 10 1, 247 610341, 4941, 10 6 -159 5, -1, 8 1, 163 212394, 2607, 8 -4 -159 5, 1, 8 1, 17 2334, 273, 8 6 -159 6, -3, 7 1, 242 409228, 3385, 7 -4 -159 6, 3, 7 1, 186 242736, 2607, 7 -1 -164 1, 0, 41 1, 52 110865, 4264, 41 9 -164 2, 2, 21 1, 120 302642, 5042, 21 -1 -164 3, -2, 14 1, 69 66519, 1930, 14 -1 -164 3, 2, 14 1, 180 453963, 5042, 14 -1 -164 5, -4, 9 1, 21 3890, 374, 9 -1 -164 5, 4, 9 1, 107 103474, 1930, 9 -1 -164 6, -2, 7 1, 138 133038, 1930, 7 -1 -164 6, 2, 7 1, 360 907926, 5042, 7 -5 -168 1, 0, 42 1, 253 2688379, 21252, 42 -5 -168 2, 0, 21 1, 117 287471, 4914, 21 5 -168 3, 0, 14 1, 370 1916603, 10360, 14 5 -168 6, 0, 7 1, 351 862413, 4914, 7 5 -171 1, 1, 43 1, 256 2818305, 22017, 43 -5 -171 5, -3, 9 1, 186 310811, 3345, 9 5 -171 5, 3, 9 1, 56 28397, 1011, 9 -5 -171 7, 5, 7 1, 183 235345, 2567, 7 -4 -175 1, 1, 44 1, 205 1849306, 18041, 44 -4 -175 2, -1, 22 1, 357 2803523, 15707, 22 6 -175 2, 1, 22 1, 21 9725, 925, 22 -4 -175 4, -1, 11 1, 325 1161554, 7149, 11 -4 -175 4, 1, 11 1, 42 19450, 925, 11 6 -175 7, 7, 8 1, 106 90637, 1703, 8 0 -176 1, 0, 44 1, 143 899757, 12584, 44 0 -176 3, -2, 15 1, 238 849187, 7138, 15 0 -176 3, 2, 15 1, 186 519315, 5582, 15 0 -176 4, 0, 11 1, 183 368383, 4026, 11 0 -176 5, -2, 9 1, 267 641072, 4804, 9 0 -176 5, 2, 9 1, 310 865525, 5582, 9 -2 -179 1, 1, 45 1, 286 3681107, 25741, 45 -2 -179 3, -1, 15 1, 106 168437, 3179, 15 -2 -179 3, 1, 15 1, 80 96083, 2401, 15 8 -179 5, -1, 9 1, 47 19839, 845, 9 -2 -179 5, 1, 9 1, 263 622789, 4735, 9 5 -180 1, 0, 45 1, 11 5446, 990, 45 -5 -180 2, 2, 23 1, 309 2196683, 14216, 23 5 -180 5, 0, 9 1, 55 27230, 990, 9 -5 -180 7, 4, 7 1, 126 111643, 1768, 7 13 -183 1, 1, 46 1, 105 507256, 9661, 46 -7 -183 2, -1, 23 1, 24 13226, 1103, 23 -7 -183 2, 1, 23 1, 210 1014512, 9661, 23 -7 -183 3, 3, 16 1, 83 110476, 2659, 16 -7 -183 4, -3, 12 1, 273 893533, 6549, 12 3 -183 4, 3, 12 1, 370 1643914, 8883, 12 3 -183 6, -3, 8 1, 215 369161, 3437, 8 13 -183 6, 3, 8 1, 166 220952, 2659, 8 -8 -184 1, 0, 46 1, 69 219007, 6348, 46 2 -184 2, 0, 23 1, 138 438014, 6348, 23 2 -184 5, -4, 10 1, 162 261797, 3236, 10 -8 -184 5, 4, 10 1, 6 389, 124, 10 4 -187 1, 1, 47 1, 348 5692237, 32713, 47 -6 -187 7, 3, 7 1, 58 23729, 815, 7 0 -196 1, 0, 49 1, 72 254017, 7056, 49 0 -196 2, 2, 25 1, 250 1563002, 12502, 25 10 -196 5, -2, 10 1, 314 985337, 6278, 10 -10 -196 5, 2, 10 1, 236 557437, 4722, 10 -2 -208 1, 0, 52 1, 24 29953, 2496, 52 -2 -208 4, 0, 13 1, 96 119812, 2496, 13 -12 -208 7, -4, 8 1, 59 27619, 940, 8 8 -208 7, 4, 8 1, 253 513091, 4052, 8 9 -211 1, 1, 53 1, 221 2588795, 23427, 53 -1 -211 5, -3, 11 1, 287 905203, 6311, 11 9 -211 5, 3, 11 1, 216 513869, 4755, 11 6 -216 1, 0, 54 1, 383 7921207, 41364, 54 -4 -216 2, 0, 27 1, 377 3837485, 20358, 27 6 -216 5, -2, 11 1, 6 389, 130, 11 -4 -216 5, 2, 11 1, 218 523205, 4798, 11 -4 -216 7, -6, 9 1, 94 78967, 1686, 9 -4 -216 7, 6, 9 1, 223 448906, 4020, 9 -5 -220 1, 0, 55 1, 60 198001, 6600, 55 5 -220 5, 0, 11 1, 300 990005, 6600, 11 5 -220 7, -2, 8 1, 364 1059247, 5822, 8 5 -220 7, 2, 8 1, 72 41623, 1154, 8 4 -223 1, 1, 56 1, 135 1020736, 15121, 56 4 -223 2, -1, 28 1, 145 588557, 8119, 28 -6 -223 2, 1, 28 1, 270 2041472, 15121, 28 4 -223 4, -1, 14 1, 290 1177114, 8119, 14 -6 -223 4, 1, 14 1, 151 319369, 4229, 14 -6 -223 7, -1, 8 1, 313 783446, 5007, 8 4 -223 7, 1, 8 1, 167 223286, 2673, 8 -1 -232 1, 0, 58 1, 170 1676201, 19720, 58 -1 -232 2, 0, 29 1, 340 3352402, 19720, 29 3 -236 1, 0, 59 1, 87 446572, 10266, 59 3 -236 3, -2, 20 1, 140 391723, 5598, 20 -7 -236 3, 2, 20 1, 101 204225, 4042, 20 -7 -236 4, -2, 15 1, 57 48625, 1708, 15 3 -236 4, 2, 15 1, 5 389, 152, 15 3 -236 5, -2, 12 1, 363 1580507, 8710, 12 3 -236 5, 2, 12 1, 298 1066249, 7154, 12 3 -236 7, -4, 9 1, 268 645351, 4820, 9 -7 -236 7, 4, 9 1, 354 1129267, 6376, 9 1 -239 1, 1, 60 1, 28 47069, 3361, 60 1 -239 2, -1, 30 1, 69 142763, 4139, 30 1 -239 2, 1, 30 1, 56 94138, 3361, 30 -9 -239 3, -1, 20 1, 298 1775785, 11919, 20 1 -239 3, 1, 20 1, 84 141207, 3361, 20 -9 -239 4, -1, 15 1, 138 285526, 4139, 15 1 -239 4, 1, 15 1, 112 188276, 3361, 15 1 -239 5, -1, 12 1, 367 1615906, 8807, 12 11 -239 5, 1, 12 1, 140 235345, 3361, 12 1 -239 6, -5, 11 1, 153 256740, 3361, 11 1 -239 6, -1, 10 1, 207 428289, 4139, 10 -9 -239 6, 1, 10 1, 168 282414, 3361, 10 1 -239 6, 5, 11 1, 294 952272, 6473, 11 -9 -239 8, -7, 9 1, 360 1163888, 6473, 9 11 -239 8, 7, 9 1, 316 900924, 5695, 9 2 -247 1, 1, 62 1, 64 254017, 7937, 62 -8 -247 2, -1, 31 1, 379 4452494, 23497, 31 2 -247 2, 1, 31 1, 128 508034, 7937, 31 2 -247 4, -3, 16 1, 5 389, 157, 16 12 -247 4, 3, 16 1, 175 490529, 5603, 16 -8 -247 8, 3, 8 1, 350 981058, 5603, 8 7 -248 1, 0, 62 1, 153 1451359, 18972, 62 -13 -248 2, 0, 31 1, 306 2902718, 18972, 31 -13 -248 3, -2, 21 1, 248 1291091, 10414, 21 -3 -248 3, 2, 21 1, 322 2178011, 13526, 21 7 -248 6, -4, 11 1, 226 560938, 4968, 11 7 -248 6, 4, 11 1, 261 750381, 5746, 11 -3 -248 7, -2, 9 1, 60 32287, 1078, 9 7 -248 7, 2, 9 1, 103 95694, 1856, 9 5 -252 1, 0, 63 1, 157 1552888, 19782, 63 -5 -252 7, 0, 9 1, 321 927376, 5778, 9 -5 -252 8, -6, 9 1, 62 34232, 1110, 9 5 -252 8, 6, 9 1, 191 329483, 3444, 9 6 -256 1, 0, 64 1, 63 254017, 8064, 64 -4 -256 4, 4, 17 1, 54 49792, 1840, 17 -4 -256 5, -2, 13 1, 11 1556, 284, 13 6 -256 5, 2, 13 1, 340 1503485, 8842, 13 -12 -260 1, 0, 65 1, 108 758161, 14040, 65 8 -260 2, 2, 33 1, 307 3110833, 20264, 33 8 -260 3, -2, 22 1, 160 562883, 7038, 22 8 -260 3, 2, 22 1, 266 1557167, 11706, 22 -2 -260 5, 0, 13 1, 151 296418, 3926, 13 -2 -260 6, -2, 11 1, 320 1125766, 7038, 11 -2 -260 6, 2, 11 1, 143 225231, 3148, 11 -2 -260 9, 8, 9 1, 88 70409, 1592, 9 6 -264 1, 0, 66 1, 38 95305, 5016, 66 -4 -264 2, 0, 33 1, 76 190610, 5016, 33 -4 -264 3, 0, 22 1, 114 285915, 5016, 22 6 -264 5, -4, 14 1, 346 1674645, 9684, 14 -4 -264 5, 4, 14 1, 179 449295, 5016, 14 -4 -264 6, 0, 11 1, 228 571830, 5016, 11 -4 -264 7, -4, 10 1, 251 629013, 5016, 10 -4 -264 7, 4, 10 1, 95 90637, 1904, 10 -3 -267 1, 1, 67 1, 322 6947151, 43149, 67 -3 -267 3, 3, 23 1, 346 2754509, 15919, 23 -14 -268 1, 0, 67 1, 177 2099044, 23718, 67 6 -268 4, -2, 17 1, 240 978724, 8158, 17 6 -268 4, 2, 17 1, 217 800951, 7380, 17 8 -272 1, 0, 68 1, 179 2178789, 24344, 68 -2 -272 3, -2, 23 1, 191 838684, 8784, 23 -2 -272 3, 2, 23 1, 174 696699, 8006, 23 -2 -272 4, 0, 17 1, 327 1817797, 11118, 17 -2 -272 7, -6, 11 1, 152 253239, 3338, 11 -2 -272 7, 6, 11 1, 10 1167, 226, 11 8 -272 8, -4, 9 1, 56 28008, 1004, 9 -2 -272 8, 4, 9 1, 142 182052, 2560, 9 6 -275 1, 1, 69 1, 244 4108229, 33673, 69 -4 -275 3, -1, 23 1, 157 566773, 7221, 23 -4 -275 3, 1, 23 1, 343 2706273, 15779, 23 6 -275 9, 7, 9 1, 55 27619, 997, 9 -3 -276 1, 0, 69 1, 255 4486726, 35190, 69 -3 -276 2, 2, 35 1, 47 77411, 3292, 35 -3 -276 3, 0, 23 1, 376 3251651, 17296, 23 7 -276 5, -2, 14 1, 201 565217, 5626, 14 -3 -276 5, 2, 14 1, 312 1363445, 8738, 14 7 -276 6, 6, 13 1, 276 991950, 7182, 13 -3 -276 7, -2, 10 1, 48 22951, 958, 10 -3 -276 7, 2, 10 1, 359 1289535, 7182, 10 -4 -283 1, 1, 71 1, 187 2482987, 26555, 71 -4 -283 7, -5, 11 1, 111 134983, 2437, 11 -4 -283 7, 5, 11 1, 252 699811, 5549, 11 -2 -287 1, 1, 72 1, 299 6437172, 43057, 72 -2 -287 2, -1, 36 1, 155 864747, 11159, 36 -2 -287 2, 1, 36 1, 209 1572727, 15049, 36 8 -287 3, -1, 24 1, 38 34621, 1823, 24 -2 -287 3, 1, 24 1, 119 339986, 5713, 24 -2 -287 4, -1, 18 1, 310 1729494, 11159, 18 8 -287 4, 1, 18 1, 29 15171, 1045, 18 8 -287 6, -5, 13 1, 190 468356, 4935, 13 -2 -287 6, -1, 12 1, 76 69242, 1823, 12 -2 -287 6, 1, 12 1, 238 679972, 5713, 12 -2 -287 6, 5, 13 1, 40 21006, 1045, 13 -2 -287 7, 7, 12 1, 335 1349052, 8047, 12 8 -287 8, -1, 9 1, 231 480026, 4157, 9 -12 -287 8, 1, 9 1, 58 30342, 1045, 9 -1 -292 1, 0, 73 1, 71 367994, 10366, 73 -1 -292 2, 2, 37 1, 98 355546, 7254, 37 -1 -292 7, -4, 11 1, 47 24118, 1030, 11 9 -292 7, 4, 11 1, 82 74299, 1808, 11 -8 -295 1, 1, 74 1, 379 10629814, 56093, 74 12 -295 2, -1, 37 1, 348 4480502, 25751, 37 2 -295 2, 1, 37 1, 369 5038328, 27307, 37 2 -295 4, -3, 19 1, 84 133816, 3189, 19 -8 -295 4, 3, 19 1, 350 2328554, 13303, 19 2 -295 5, 5, 16 1, 294 1384451, 9413, 16 2 -295 8, -5, 10 1, 43 18283, 855, 10 2 -295 8, 5, 10 1, 237 562883, 4745, 10 -1 -296 1, 0, 74 1, 265 5196651, 39220, 74 -1 -296 2, 0, 37 1, 141 735599, 10434, 37 -1 -296 3, -2, 25 1, 22 12059, 1098, 25 -1 -296 3, 2, 25 1, 302 2280707, 15102, 25 -1 -296 5, -2, 15 1, 296 1313653, 8878, 15 -1 -296 5, 2, 15 1, 244 893533, 7322, 15 -1 -296 6, -4, 13 1, 192 478470, 4988, 13 -1 -296 6, 4, 13 1, 72 67686, 1876, 13 -1 -296 9, -8, 10 1, 172 294473, 3432, 10 -1 -296 9, 8, 10 1, 249 622011, 4988, 10