# Fourier coefficients... 'F353' # Coeff Disc Reduced form Unreduced form 2 -4 1, 0, 1 1, 42 1765, 84, 1 1 -8 1, 0, 2 1, 23 1059, 92, 2 1 -11 1, 1, 3 1, 246 181795, 1477, 3 0 -15 1, 1, 4 1, 183 134140, 1465, 4 0 -15 2, 1, 2 1, 13 353, 53, 2 3 -16 1, 0, 4 1, 21 1765, 168, 4 -3 -19 1, 1, 5 1, 238 283459, 2381, 5 4 -23 1, 1, 6 1, 65 25416, 781, 6 4 -23 2, -1, 3 1, 248 184266, 1487, 3 -7 -23 2, 1, 3 1, 130 50832, 781, 3 -4 -32 1, 0, 8 1, 188 282753, 3008, 8 7 -32 3, 2, 3 1, 148 66011, 890, 3 1 -35 1, 1, 9 1, 57 29299, 1027, 9 1 -35 3, 1, 3 1, 171 87897, 1027, 3 1 -36 1, 0, 9 1, 14 1765, 252, 9 1 -36 2, 2, 5 1, 25 3177, 252, 5 -5 -39 1, 1, 10 1, 191 365002, 3821, 10 6 -39 2, -1, 5 1, 241 290166, 2409, 5 -5 -39 2, 1, 5 1, 29 4236, 291, 5 6 -39 3, 3, 4 1, 36 5295, 291, 4 -5 -43 1, 1, 11 1, 130 186031, 2861, 11 -3 -44 1, 0, 11 1, 38 15885, 836, 11 -3 -44 3, -2, 4 1, 193 148613, 1542, 4 8 -44 3, 2, 4 1, 16 1059, 130, 4 -2 -47 1, 1, 12 1, 215 554916, 5161, 12 -2 -47 2, -1, 6 1, 136 110842, 1631, 6 -2 -47 2, 1, 6 1, 77 35653, 925, 6 9 -47 3, -1, 4 1, 204 166263, 1631, 4 -2 -47 3, 1, 4 1, 292 341351, 2337, 4 0 -60 1, 0, 15 1, 333 1663336, 9990, 15 0 -60 3, 0, 5 1, 293 429248, 2930, 5 -5 -64 1, 0, 16 1, 187 559505, 5984, 16 6 -64 4, 4, 5 1, 245 301109, 2454, 5 8 -68 1, 0, 17 1, 275 1285626, 9350, 17 -3 -68 2, 2, 9 1, 284 726474, 5114, 9 -3 -68 3, -2, 6 1, 191 218507, 2290, 6 -3 -68 3, 2, 6 1, 73 32123, 878, 6 4 -72 1, 0, 18 1, 243 1062883, 8748, 18 4 -72 2, 0, 9 1, 133 159203, 2394, 9 -2 -76 1, 0, 19 1, 302 1732877, 11476, 19 -2 -76 4, -2, 5 1, 230 264044, 2298, 5 -2 -76 4, 2, 5 1, 159 126727, 1592, 5 -1 -83 1, 1, 21 1, 120 302521, 5041, 21 -1 -83 3, -1, 7 1, 108 81543, 1511, 7 -1 -83 3, 1, 7 1, 7 353, 99, 7 -7 -84 1, 0, 21 1, 310 2018101, 13020, 21 4 -84 2, 2, 11 1, 335 1235147, 7372, 11 4 -84 3, 0, 7 1, 224 351235, 3136, 7 -7 -84 5, 4, 5 1, 172 148613, 1724, 5 -5 -88 1, 0, 22 1, 4 353, 176, 22 6 -88 2, 0, 11 1, 8 706, 176, 11 0 -91 1, 1, 23 1, 158 574331, 7269, 23 0 -91 5, 3, 5 1, 303 459959, 3033, 5 2 -92 1, 0, 23 1, 80 147201, 3680, 23 2 -92 3, -2, 8 1, 186 276399, 2974, 8 2 -92 3, 2, 8 1, 274 601159, 4386, 8 4 -99 1, 1, 25 1, 18 8119, 901, 25 4 -99 5, 1, 5 1, 90 40595, 901, 5 -1 -100 1, 0, 25 1, 274 1876901, 13700, 25 -1 -100 2, 2, 13 1, 201 525617, 5228, 13 2 -111 1, 1, 28 1, 5 706, 281, 28 2 -111 2, -1, 14 1, 237 786131, 6635, 14 -9 -111 2, 1, 14 1, 10 1412, 281, 14 2 -111 3, 3, 10 1, 261 681996, 5223, 10 -9 -111 4, -1, 7 1, 121 102370, 1693, 7 2 -111 4, 1, 7 1, 20 2824, 281, 7 2 -111 5, -3, 6 1, 259 401714, 3105, 6 2 -111 5, 3, 6 1, 82 40595, 987, 6 4 -116 1, 0, 29 1, 98 278517, 5684, 29 4 -116 2, 2, 15 1, 260 1014522, 7802, 15 -7 -116 3, -2, 10 1, 249 619515, 4978, 10 -7 -116 3, 2, 10 1, 37 13767, 742, 10 4 -116 5, -2, 6 1, 62 22945, 742, 6 4 -116 5, 2, 6 1, 297 529853, 3566, 6 2 -120 1, 0, 30 1, 95 270751, 5700, 30 2 -120 2, 0, 15 1, 190 541502, 5700, 15 2 -120 3, 0, 10 1, 285 812253, 5700, 10 2 -120 5, 0, 6 1, 122 89309, 1464, 6 5 -127 1, 1, 32 1, 48 73777, 3073, 32 -6 -127 2, -1, 16 1, 74 87544, 2367, 16 5 -127 2, 1, 16 1, 96 147554, 3073, 16 5 -127 4, -1, 8 1, 148 175088, 2367, 8 -6 -127 4, 1, 8 1, 192 295108, 3073, 8 3 -128 1, 0, 32 1, 259 2146593, 16576, 32 3 -128 3, -2, 11 1, 208 475491, 4574, 11 3 -128 3, 2, 11 1, 272 814371, 5986, 11 -8 -128 4, 4, 9 1, 97 85073, 1750, 9 1 -131 1, 1, 33 1, 109 392183, 7195, 33 1 -131 3, -1, 11 1, 295 956983, 6489, 11 1 -131 3, 1, 11 1, 327 1176549, 7195, 11 1 -131 5, -3, 7 1, 262 479727, 3665, 7 1 -131 5, 3, 7 1, 312 682349, 4371, 7 -11 -135 1, 1, 34 1, 75 191326, 5101, 34 0 -135 2, -1, 17 1, 67 76248, 2277, 17 11 -135 2, 1, 17 1, 150 382652, 5101, 17 11 -135 4, -3, 9 1, 9 706, 159, 9 0 -135 4, 3, 9 1, 244 536560, 4395, 9 -11 -135 5, 5, 8 1, 142 162027, 2277, 8 2 -136 1, 0, 34 1, 159 859555, 10812, 34 2 -136 2, 0, 17 1, 318 1719110, 10812, 17 2 -136 5, -2, 7 1, 16 1765, 222, 7 -9 -136 5, 2, 7 1, 167 195562, 2340, 7 -3 -140 1, 0, 35 1, 11 4236, 770, 35 8 -140 3, -2, 12 1, 91 99193, 2182, 12 -3 -140 3, 2, 12 1, 32 12355, 770, 12 8 -140 4, -2, 9 1, 239 513615, 4300, 9 -3 -140 4, 2, 9 1, 278 696116, 5006, 9 -3 -140 5, 0, 7 1, 55 21180, 770, 7 -4 -144 1, 0, 36 1, 346 4309777, 24912, 36 7 -144 4, 0, 9 1, 325 950629, 5850, 9 7 -144 5, -4, 8 1, 57 25769, 908, 8 -4 -144 5, 4, 8 1, 233 435249, 3732, 8 6 -152 1, 0, 38 1, 199 1504839, 15124, 38 -5 -152 2, 0, 19 1, 45 38477, 1710, 19 -5 -152 3, -2, 13 1, 93 112254, 2416, 13 -5 -152 3, 2, 13 1, 120 187443, 3122, 13 6 -152 6, -4, 7 1, 72 36006, 1004, 7 6 -152 6, 4, 7 1, 21 3177, 298, 7 6 -155 1, 1, 39 1, 29 32829, 2263, 39 -5 -155 3, -1, 13 1, 250 812253, 6499, 13 6 -155 3, 1, 13 1, 87 98487, 2263, 13 -5 -155 5, 5, 9 1, 47 20121, 851, 9 3 -156 1, 0, 39 1, 74 213565, 5772, 39 3 -156 3, 0, 13 1, 222 640695, 5772, 13 3 -156 5, -2, 8 1, 52 21533, 830, 8 3 -156 5, 2, 8 1, 140 157085, 2242, 8 4 -159 1, 1, 40 1, 207 1714168, 16561, 40 -7 -159 2, -1, 20 1, 114 259808, 4559, 20 4 -159 2, 1, 20 1, 61 74483, 2441, 20 4 -159 3, 3, 14 1, 314 1381289, 8795, 14 4 -159 4, -1, 10 1, 228 519616, 4559, 10 -7 -159 4, 1, 10 1, 122 148966, 2441, 10 -7 -159 5, -1, 8 1, 285 649520, 4559, 8 4 -159 5, 1, 8 1, 329 866262, 5265, 8 -7 -159 6, -3, 7 1, 225 353706, 3147, 7 4 -159 6, 3, 7 1, 275 530206, 3853, 7 3 -164 1, 0, 41 1, 208 1773825, 17056, 41 -8 -164 2, 2, 21 1, 322 2178010, 13526, 21 3 -164 3, -2, 14 1, 231 746595, 6466, 14 -8 -164 3, 2, 14 1, 130 236863, 3642, 14 -8 -164 5, -4, 9 1, 281 709530, 5054, 9 3 -164 5, 4, 9 1, 6 353, 112, 9 3 -164 6, -2, 7 1, 109 82955, 1524, 7 14 -164 6, 2, 7 1, 260 473726, 3642, 7 6 -167 1, 1, 42 1, 323 4382142, 27133, 42 6 -167 2, -1, 21 1, 209 917094, 8777, 21 -5 -167 2, 1, 21 1, 293 1803124, 12307, 21 -5 -167 3, -1, 14 1, 137 262632, 3835, 14 -5 -167 3, 1, 14 1, 263 968632, 7365, 14 -5 -167 4, -3, 11 1, 14 2118, 305, 11 -5 -167 4, 3, 11 1, 110 133434, 2423, 11 -5 -167 6, -5, 8 1, 240 459606, 3835, 8 6 -167 6, -1, 7 1, 274 525264, 3835, 7 6 -167 6, 1, 7 1, 173 209682, 2423, 7 6 -167 6, 5, 8 1, 107 92133, 1717, 8 -6 -168 1, 0, 42 1, 237 2359099, 19908, 42 5 -168 2, 0, 21 1, 121 307463, 5082, 21 -6 -168 3, 0, 14 1, 5 353, 140, 14 5 -168 6, 0, 7 1, 10 706, 140, 7 -7 -171 1, 1, 43 1, 42 75895, 3613, 43 -7 -171 5, -3, 9 1, 44 17297, 789, 9 4 -171 5, 3, 9 1, 279 701411, 5025, 9 4 -171 7, 5, 7 1, 56 22239, 789, 7 -7 -172 1, 0, 43 1, 124 661169, 10664, 43 -7 -172 4, -2, 11 1, 196 422188, 4310, 11 4 -172 4, 2, 11 1, 260 744124, 5722, 11 -1 -176 1, 0, 44 1, 19 15885, 1672, 44 10 -176 3, -2, 15 1, 197 581744, 5908, 15 -1 -176 3, 2, 15 1, 291 1270800, 8732, 15 -1 -176 4, 0, 11 1, 76 63540, 1672, 11 -1 -176 5, -2, 9 1, 93 77660, 1672, 9 -1 -176 5, 2, 9 1, 132 157085, 2378, 9 -6 -184 1, 0, 46 1, 326 4888697, 29992, 46 5 -184 2, 0, 23 1, 299 2056225, 13754, 23 5 -184 5, -4, 10 1, 229 523499, 4576, 10 5 -184 5, 4, 10 1, 158 250277, 3164, 10 5 -187 1, 1, 47 1, 98 451487, 9213, 47 -6 -187 7, 3, 7 1, 204 291931, 2859, 7 -1 -188 1, 0, 47 1, 108 548209, 10152, 47 -1 -188 3, -2, 16 1, 207 685173, 6622, 16 10 -188 3, 2, 16 1, 251 1008521, 8034, 16 -1 -188 7, -6, 8 1, 326 848259, 5210, 8 -1 -188 7, 6, 8 1, 237 450781, 3798, 8 1 -191 1, 1, 48 1, 23 25416, 2209, 48 -10 -191 2, -1, 24 1, 149 532677, 7151, 24 1 -191 2, 1, 24 1, 46 50832, 2209, 24 1 -191 3, -1, 16 1, 47 35300, 1503, 16 -10 -191 3, 1, 16 1, 69 76248, 2209, 16 1 -191 4, -1, 12 1, 298 1065354, 7151, 12 1 -191 4, 1, 12 1, 92 101664, 2209, 12 -10 -191 5, -3, 10 1, 40 15885, 797, 10 1 -191 5, 3, 10 1, 75 56480, 1503, 10 12 -191 6, -5, 9 1, 123 135552, 2209, 9 1 -191 6, -1, 8 1, 94 70600, 1503, 8 12 -191 6, 1, 8 1, 138 152496, 2209, 8 1 -191 6, 5, 9 1, 44 17650, 797, 9 -3 -196 1, 0, 49 1, 347 5900042, 34006, 49 -3 -196 2, 2, 25 1, 200 1000402, 10002, 25 -3 -196 5, -2, 10 1, 6 353, 118, 10 -3 -196 5, 2, 10 1, 147 216389, 2942, 10 -4 -200 1, 0, 50 1, 66 217801, 6600, 50 -4 -200 2, 0, 25 1, 132 435602, 6600, 25 -4 -200 3, -2, 17 1, 298 1509075, 10130, 17 7 -200 3, 2, 17 1, 111 209682, 3776, 17 -4 -200 6, -4, 9 1, 210 396066, 3776, 9 7 -200 6, 4, 9 1, 288 747654, 5188, 9 -6 -207 1, 1, 52 1, 328 5594697, 34113, 52 5 -207 2, -1, 26 1, 208 1124658, 10815, 26 -6 -207 2, 1, 26 1, 303 2387339, 15757, 26 5 -207 4, -1, 13 1, 63 51538, 1637, 13 5 -207 4, 1, 13 1, 253 832374, 6579, 13 5 -207 8, 7, 8 1, 146 171558, 2343, 8 -1 -223 1, 1, 56 1, 95 505496, 10641, 56 -1 -223 2, -1, 28 1, 127 451487, 7111, 28 -1 -223 2, 1, 28 1, 190 1010992, 10641, 28 -1 -223 4, -1, 14 1, 254 902974, 7111, 14 -1 -223 4, 1, 14 1, 27 10237, 757, 14 -1 -223 7, -1, 8 1, 268 574331, 4287, 8 10 -223 7, 1, 8 1, 312 779071, 4993, 8 9 -231 1, 1, 58 1, 239 3313258, 27725, 58 -2 -231 2, -1, 29 1, 52 78366, 3015, 29 -2 -231 2, 1, 29 1, 125 453252, 7251, 29 -13 -231 3, 3, 20 1, 40 32123, 1603, 20 -13 -231 4, -3, 15 1, 30 13414, 897, 15 -2 -231 4, 3, 15 1, 171 439132, 5133, 15 -2 -231 5, -3, 12 1, 214 548915, 5133, 12 9 -231 5, 3, 12 1, 302 1095359, 7251, 12 -2 -231 6, -3, 10 1, 45 20121, 897, 10 9 -231 6, 3, 10 1, 80 64246, 1603, 10 -2 -231 7, 7, 10 1, 221 489964, 4427, 10 9 -231 8, 5, 8 1, 144 166616, 2309, 8 14 -232 1, 0, 58 1, 289 4844219, 33524, 58 -8 -232 2, 0, 29 1, 225 1468127, 13050, 29 11 -240 1, 0, 60 1, 343 7058941, 41160, 60 -11 -240 3, 0, 20 1, 323 2086583, 12920, 20 -11 -240 4, 0, 15 1, 313 1469539, 9390, 15 11 -240 5, 0, 12 1, 303 1101713, 7272, 12 2 -244 1, 0, 61 1, 344 7218497, 41968, 61 2 -244 2, 2, 31 1, 210 1367522, 13022, 31 2 -244 5, -4, 13 1, 148 284165, 3844, 13 2 -244 5, 4, 13 1, 202 531265, 5256, 13 2 -244 7, -6, 10 1, 16 2471, 314, 10 2 -244 7, 6, 10 1, 86 74483, 1726, 10 -7 -255 1, 1, 64 1, 217 3013914, 27777, 64 -7 -255 2, -1, 32 1, 70 156732, 4479, 32 15 -255 2, 1, 32 1, 81 210035, 5185, 32 4 -255 3, 3, 22 1, 198 863085, 8715, 22 15 -255 4, -1, 16 1, 140 313464, 4479, 16 -7 -255 4, 1, 16 1, 162 420070, 5185, 16 4 -255 5, 5, 14 1, 185 480080, 5185, 14 -7 -255 6, -3, 11 1, 300 989106, 6597, 11 4 -255 6, 3, 11 1, 43 20474, 949, 11 -7 -255 7, -5, 10 1, 83 68482, 1655, 10 4 -255 7, 5, 10 1, 259 672112, 5185, 10 -7 -255 8, 1, 8 1, 324 840140, 5185, 8 3 -256 1, 0, 64 1, 83 440897, 10624, 64 -8 -256 4, 4, 17 1, 167 474785, 5682, 17 3 -256 5, -2, 13 1, 110 157085, 2858, 13 3 -256 5, 2, 13 1, 137 244276, 3564, 13 -2 -259 1, 1, 65 1, 99 637165, 12871, 65 -2 -259 5, -1, 13 1, 305 1209025, 7929, 13 -2 -259 5, 1, 13 1, 142 262279, 3693, 13 -2 -259 7, 7, 11 1, 328 1185727, 7223, 11 5 -260 1, 0, 65 1, 257 4293186, 33410, 65 5 -260 2, 2, 33 1, 89 261573, 5876, 33 5 -260 3, -2, 22 1, 278 1699695, 12230, 22 -6 -260 3, 2, 22 1, 310 2114823, 13642, 22 -6 -260 5, 0, 13 1, 226 663993, 5876, 13 -6 -260 6, -2, 11 1, 203 452899, 4464, 11 5 -260 6, 2, 11 1, 267 784719, 5876, 11 -6 -260 9, 8, 9 1, 326 959101, 5876, 9 unknown -267 1, 1, 67 1, 11 8119, 1475, 67 unknown -267 3, 3, 23 1, 32 23651, 1475, 23 -3 -271 1, 1, 68 1, 333 7540786, 45289, 68 -3 -271 2, -1, 34 1, 95 306757, 6459, 34 8 -271 2, 1, 34 1, 313 3331261, 21285, 34 -3 -271 4, -1, 17 1, 190 613514, 6459, 17 -3 -271 4, 1, 17 1, 273 1267270, 9283, 17 -3 -271 5, -3, 14 1, 256 916741, 7165, 14 8 -271 5, 3, 14 1, 281 1106302, 7871, 14 -3 -271 7, -3, 10 1, 76 57539, 1517, 10 -3 -271 7, 3, 10 1, 111 123550, 2223, 10 -3 -271 8, -7, 10 1, 288 827432, 5753, 10 -3 -271 8, 7, 10 1, 252 636812, 5047, 10 1 -272 1, 0, 68 1, 314 6704529, 42704, 68 1 -272 3, -2, 23 1, 161 595864, 7404, 23 1 -272 3, 2, 23 1, 253 1472716, 11640, 23 12 -272 4, 0, 17 1, 197 659757, 6698, 17 -10 -272 7, -6, 11 1, 48 25063, 1050, 11 -10 -272 7, 6, 11 1, 240 635047, 5286, 11 1 -272 8, -4, 9 1, 137 168381, 2462, 9 1 -272 8, 4, 9 1, 215 416893, 3874, 9 5 -275 1, 1, 69 1, 340 7976741, 46921, 69 -6 -275 3, -1, 23 1, 268 1651687, 12327, 23 5 -275 3, 1, 23 1, 314 2268025, 14445, 23 -6 -275 9, 7, 9 1, 253 577861, 4561, 9 -3 -280 1, 0, 70 1, 36 90721, 5040, 70 8 -280 2, 0, 35 1, 72 181442, 5040, 35 8 -280 5, 0, 14 1, 180 453605, 5040, 14 -3 -280 7, 0, 10 1, 252 635047, 5040, 10 1 -283 1, 1, 71 1, 12 10237, 1705, 71 1 -283 7, -5, 11 1, 174 332173, 3823, 11 -10 -283 7, 5, 11 1, 334 1228793, 7353, 11 6 -288 1, 0, 72 1, 55 217801, 7920, 72 6 -288 4, 4, 19 1, 134 341704, 5096, 19 6 -288 8, 0, 9 1, 87 68129, 1566, 9 6 -288 8, 8, 11 1, 135 201563, 2978, 11 2 -292 1, 0, 73 1, 50 182501, 7300, 73 2 -292 2, 2, 37 1, 70 181442, 5182, 37 2 -292 7, -4, 11 1, 332 1211143, 7300, 11 2 -292 7, 4, 11 1, 107 126374, 2358, 11 9 -295 1, 1, 74 1, 283 5926870, 41885, 74 9 -295 2, -1, 37 1, 89 292990, 6585, 37 unknown -295 2, 1, 37 1, 213 1678868, 15763, 37 -2 -295 4, -3, 19 1, 322 1969034, 12233, 19 unknown -295 4, 3, 19 1, 6 706, 231, 19 9 -295 5, 5, 16 1, 338 1829599, 10821, 16 -2 -295 8, -5, 10 1, 153 233333, 3055, 10 9 -295 8, 5, 10 1, 329 1084063, 6585, 10