# Fourier coefficients... 'F249' # Coeff Disc Reduced form Unreduced form -1 -8 1, 0, 2 1, 37 2739, 148, 2 7 -15 1, 1, 4 1, 70 19671, 561, 4 -7 -15 2, 1, 2 1, 140 39342, 561, 2 -6 -20 1, 0, 5 1, 211 222606, 2110, 5 8 -20 2, 2, 3 3, 58 10458, -6854, 1123 -7 -24 1, 0, 6 3, 100 60009, -39606, 6535 7 -24 2, 0, 3 3, 34 3486, -2256, 365 9 -32 1, 0, 8 1, 226 408609, 3616, 8 -5 -32 3, 2, 3 3, 64 12699, -8336, 1368 -9 -35 1, 1, 9 1, 140 176541, 2521, 9 5 -35 3, 1, 3 1, 171 87897, 1027, 3 -7 -39 1, 1, 10 1, 7 498, 141, 10 -7 -39 2, -1, 5 1, 64 20418, 639, 5 7 -39 2, 1, 5 1, 14 996, 141, 5 7 -39 3, 3, 4 1, 204 167079, 1635, 4 3 -47 1, 1, 12 3, 217 565728, -375415, 62281 3 -47 2, -1, 6 1, 131 102837, 1571, 6 -11 -47 2, 1, 6 3, 19 2241, -1417, 224 3 -47 3, -1, 4 1, 72 20667, 575, 4 3 -47 3, 1, 4 1, 134 71961, 1073, 4 3 -56 1, 0, 14 1, 215 647151, 6020, 14 3 -56 2, 0, 7 1, 181 229329, 2534, 7 -11 -56 3, -2, 5 1, 154 118275, 1538, 5 3 -56 3, 2, 5 1, 54 14691, 542, 5 0 -60 1, 0, 15 3, 79 93624, -61626, 10141 0 -60 3, 0, 5 1, 162 131223, 1620, 5 6 -71 1, 1, 18 1, 86 133215, 3097, 18 -8 -71 2, -1, 9 3, 46 18924, -12341, 2012 -8 -71 2, 1, 9 1, 172 266430, 3097, 9 6 -71 3, -1, 6 3, 235 330672, -219509, 36429 -8 -71 3, 1, 6 1, 9 498, 109, 6 6 -71 4, -3, 5 1, 61 18426, 607, 5 6 -71 4, 3, 5 1, 160 128484, 1603, 5 -7 -72 1, 0, 18 3, 46 38097, -24846, 4051 7 -72 2, 0, 9 3, 175 275643, -182712, 30278 7 -72 3, 0, 6 1, 129 99849, 1548, 6 -7 -72 3, 0, 6 3, 55 18177, -11898, 1947 -2 -80 1, 0, 20 1, 64 81921, 2560, 20 -2 -80 3, -2, 7 1, 183 234060, 2560, 7 -2 -80 3, 2, 7 1, 76 40587, 1066, 7 -2 -80 4, 0, 5 1, 7 249, 70, 5 0 -83 1, 1, 21 3, 160 538089, -356485, 59043 0 -83 3, -1, 7 1, 6 249, 83, 7 0 -83 3, 1, 7 1, 77 41583, 1079, 7 7 -96 1, 0, 24 3, 199 950433, -630438, 104545 -7 -96 3, 0, 8 1, 33 8715, 528, 8 -7 -96 4, 4, 7 1, 73 37599, 1026, 7 7 -96 5, 2, 5 1, 202 204429, 2022, 5 4 -107 1, 1, 27 1, 95 243771, 5131, 27 -10 -107 3, -1, 9 3, 136 166083, -109907, 18183 4 -107 3, 1, 9 1, 36 11703, 649, 9 5 -128 1, 0, 32 1, 196 1229313, 12544, 32 5 -128 3, -2, 11 1, 27 7968, 592, 11 -9 -128 3, 2, 11 1, 140 215883, 3082, 11 5 -128 4, 4, 9 1, 5 249, 94, 9 0 -135 1, 1, 34 1, 76 196461, 5169, 34 0 -135 2, -1, 17 1, 196 652878, 6663, 17 0 -135 2, 1, 17 1, 152 392922, 5169, 17 0 -135 4, -3, 9 3, 115 118026, -77997, 12886 -14 -135 4, 3, 9 3, 31 8964, -5787, 934 14 -135 5, 5, 8 1, 136 148653, 2181, 8 0 -135 3, 3, 12 1, 153 281370, 3675, 12 0 -135 6, 3, 6 1, 57 19671, 687, 6 0 -135 6, 3, 6 3, 88 47310, -31185, 5139 0 -135 3, 3, 12 3, 127 194718, -128793, 21297 14 -135 3, 3, 12 1, 236 669063, 5667, 12 -14 -135 6, 3, 6 1, 223 299049, 2679, 6 -6 -140 1, 0, 35 1, 8 2241, 560, 35 -6 -140 3, -2, 12 3, 91 98853, -65176, 10743 8 -140 3, 2, 12 1, 210 529623, 5042, 12 -6 -140 4, -2, 9 3, 232 483060, -320650, 53211 -6 -140 4, 2, 9 1, 31 8715, 560, 9 8 -140 5, 0, 7 1, 40 11205, 560, 7 3 -143 1, 1, 36 1, 215 1664316, 15481, 36 -11 -143 2, -1, 18 3, 142 362544, -239993, 39717 3 -143 2, 1, 18 1, 181 589881, 6517, 18 3 -143 3, -1, 12 3, 130 202437, -133919, 22148 -11 -143 3, 1, 12 1, 147 259458, 3529, 12 17 -143 4, -1, 9 3, 118 124998, -82625, 13654 -11 -143 4, 1, 9 1, 113 115038, 2035, 9 17 -143 6, -5, 7 1, 39 10458, 541, 7 3 -143 6, 1, 6 1, 45 12201, 541, 6 -11 -143 6, 5, 7 1, 145 147906, 2035, 7 3 -155 1, 1, 39 3, 199 1545045, -1024855, 169951 3 -155 3, -1, 13 1, 231 693465, 6005, 13 3 -155 3, 1, 13 1, 116 175047, 3017, 13 -11 -155 5, 5, 9 1, 29 7719, 527, 9 0 -156 1, 0, 39 3, 136 721353, -477366, 78976 0 -156 3, 0, 13 1, 219 623496, 5694, 13 0 -156 5, -2, 8 1, 107 91383, 1710, 8 0 -156 5, 2, 8 1, 169 228831, 2706, 8 0 -159 1, 1, 40 1, 244 2381685, 19521, 40 0 -159 2, -1, 20 1, 127 322455, 5079, 20 14 -159 2, 1, 20 1, 239 1142661, 9561, 20 0 -159 3, 3, 14 1, 39 21414, 1095, 14 0 -159 4, -1, 10 1, 5 249, 99, 10 -14 -159 4, 1, 10 1, 229 524643, 4581, 10 0 -159 5, -1, 8 1, 193 297804, 3087, 8 14 -159 5, 1, 8 1, 224 401637, 3585, 8 -14 -159 6, -3, 7 1, 114 90636, 1593, 7 0 -159 6, 3, 7 1, 78 42828, 1095, 7 21 -168 1, 0, 42 3, 139 811491, -537102, 88873 -7 -168 2, 0, 21 3, 112 263442, -174060, 28751 -21 -168 3, 0, 14 1, 222 689979, 6216, 14 7 -168 6, 0, 7 1, 195 266181, 2730, 7 7 -171 1, 1, 43 1, 130 726831, 11181, 43 7 -171 5, -3, 9 3, 121 130725, -86427, 14285 -7 -171 5, 3, 9 3, 37 12699, -8241, 1337 -7 -171 7, 5, 7 1, 158 175545, 2217, 7 -7 -171 3, 3, 15 1, 24 8715, 723, 15 -7 -171 3, 3, 15 3, 238 851829, -565503, 93855 7 -171 3, 3, 15 1, 107 172059, 3213, 15 7 -171 3, 3, 15 1, 190 542073, 5703, 15 3 -179 1, 1, 45 3, 46 95367, -62197, 10141 -11 -179 3, -1, 15 1, 201 605817, 6029, 15 3 -179 3, 1, 15 3, 55 45567, -29827, 4881 -11 -179 5, -1, 9 1, 86 66483, 1547, 9 17 -179 5, 1, 9 3, 64 37101, -24349, 3995 14 -180 1, 0, 45 3, 121 658854, -435606, 72001 -14 -180 2, 2, 23 1, 133 407115, 6120, 23 0 -180 5, 0, 9 3, 190 324945, -215490, 35726 0 -180 7, 4, 7 1, 10 747, 144, 7 -14 -180 3, 0, 15 1, 204 624243, 6120, 15 14 -180 6, 6, 9 1, 63 36105, 1140, 9 0 -180 3, 0, 15 3, 31 14442, -9318, 1503 0 -180 6, 6, 9 1, 229 473349, 4128, 9 -4 -188 1, 0, 47 1, 97 442224, 9118, 47 -4 -188 3, -2, 16 1, 36 20667, 1150, 16 10 -188 3, 2, 16 1, 67 71961, 2146, 16 10 -188 7, -6, 8 1, 10 747, 154, 8 unknown -188 7, 6, 8 1, 196 308511, 3142, 8 -5 -200 1, 0, 50 1, 190 1805001, 19000, 50 9 -200 2, 0, 25 1, 131 429027, 6550, 25 -5 -200 3, -2, 17 1, 222 837387, 7546, 17 9 -200 3, 2, 17 1, 134 305523, 4558, 17 -5 -200 6, -4, 9 3, 124 136950, -90560, 14971 -5 -200 6, 4, 9 1, 87 68475, 1570, 9 18 -212 1, 0, 53 1, 160 1356801, 16960, 53 -10 -212 2, 2, 27 3, 232 1454658, -965594, 160239 -10 -212 3, -2, 18 1, 153 421059, 5506, 18 -10 -212 3, 2, 18 3, 16 4731, -2960, 463 4 -212 6, -2, 9 1, 57 29133, 1024, 9 4 -212 6, 2, 9 3, 115 119769, -79154, 13078 0 -216 1, 0, 54 3, 61 200943, -131766, 21601 0 -216 2, 0, 27 3, 205 1134693, -752772, 124850 -14 -216 5, -2, 11 1, 32 11205, 702, 11 0 -216 5, 2, 11 1, 145 231570, 3192, 11 0 -216 7, -6, 9 3, 118 123255, -81468, 13462 14 -216 7, 6, 9 3, 199 360054, -238836, 39607 0 -216 3, 0, 18 1, 144 373251, 5184, 18 0 -216 6, 0, 9 1, 39 13695, 702, 9 14 -216 6, 0, 9 1, 205 378231, 3690, 9 0 -216 6, 0, 9 1, 122 133962, 2196, 9 0 -216 3, 0, 18 1, 61 66981, 2196, 18 -14 -216 3, 0, 18 1, 227 927525, 8172, 18 -21 -219 1, 1, 55 1, 64 225345, 7041, 55 21 -219 3, 3, 19 1, 159 480819, 6045, 19 21 -219 5, -1, 11 1, 139 212397, 3057, 11 -21 -219 5, 1, 11 1, 71 55527, 1563, 11 -1 -224 1, 0, 56 1, 232 3014145, 25984, 56 -1 -224 3, -2, 19 1, 81 124500, 3076, 19 -1 -224 3, 2, 19 1, 94 168075, 3574, 19 13 -224 4, 4, 15 1, 119 212895, 3574, 15 -15 -224 5, -4, 12 3, 136 220365, -145826, 24125 -15 -224 5, 4, 12 1, 211 535101, 5068, 12 13 -224 7, 0, 8 1, 130 135207, 2080, 8 -1 -224 8, 8, 9 3, 124 141432, -93536, 15465 0 -228 1, 0, 57 3, 154 1351821, -895362, 148258 0 -228 2, 2, 29 1, 181 950433, 10500, 29 0 -228 3, 0, 19 1, 237 1067214, 9006, 19 0 -228 6, 6, 11 1, 228 573198, 5022, 11 -14 -239 1, 1, 60 1, 26 40587, 3121, 60 14 -239 2, -1, 30 3, 181 982305, -651251, 107942 0 -239 2, 1, 30 1, 52 81174, 3121, 30 0 -239 3, -1, 20 1, 215 924288, 8599, 20 14 -239 3, 1, 20 1, 78 121761, 3121, 20 0 -239 4, -1, 15 3, 196 575688, -381833, 63314 14 -239 4, 1, 15 1, 104 162348, 3121, 15 -14 -239 5, -1, 12 3, 79 74700, -49169, 8091 0 -239 5, 1, 12 1, 130 202935, 3121, 12 -14 -239 6, -5, 11 1, 210 484056, 4615, 11 0 -239 6, -1, 10 1, 181 327435, 3619, 10 0 -239 6, 1, 10 1, 156 243522, 3121, 10 0 -239 6, 5, 11 1, 119 156372, 2623, 11 -14 -239 8, -7, 9 3, 217 419316, -278249, 46160 14 -239 8, 7, 9 1, 7 498, 133, 9 -14 -240 1, 0, 60 3, 85 433509, -285606, 47041 14 -240 3, 0, 20 1, 168 564483, 6720, 20 14 -240 4, 0, 15 3, 91 124251, -81924, 13504 -14 -240 5, 0, 12 3, 10 1245, -750, 113 3 -248 1, 0, 62 1, 85 447951, 10540, 62 3 -248 2, 0, 31 1, 170 895902, 10540, 31 3 -248 3, -2, 21 1, 168 592371, 7054, 21 3 -248 3, 2, 21 3, 148 460899, -305192, 50522 3 -248 6, -4, 11 1, 185 375741, 4066, 11 -11 -248 6, 4, 11 1, 162 289338, 3568, 11 3 -248 7, -2, 9 1, 143 183762, 2572, 9 3 -248 7, 2, 9 3, 124 139191, -92048, 15218 -1 -251 1, 1, 63 1, 104 681513, 13105, 63 -1 -251 3, -1, 21 3, 118 292077, -193067, 31905 -1 -251 3, 1, 21 1, 63 83415, 2647, 21 13 -251 5, -3, 13 1, 236 723345, 6133, 13 -15 -251 5, 3, 13 1, 140 255225, 3643, 13 -1 -251 7, -1, 9 3, 220 435003, -288683, 47895 13 -251 7, 1, 9 1, 230 476337, 4141, 9 7 -255 1, 1, 64 1, 211 2849556, 27009, 64 -21 -255 2, -1, 32 1, 103 339387, 6591, 32 -7 -255 2, 1, 32 1, 173 957903, 11073, 32 -7 -255 3, 3, 22 1, 195 837138, 8583, 22 21 -255 4, -1, 16 1, 206 678774, 6591, 16 7 -255 4, 1, 16 1, 97 150645, 3105, 16 7 -255 5, 5, 14 1, 4 249, 117, 14 7 -255 6, -3, 11 1, 96 101094, 2109, 11 21 -255 6, 3, 11 1, 141 219120, 3105, 11 -21 -255 7, -5, 10 1, 31 9462, 615, 10 -7 -255 7, 5, 10 1, 155 241032, 3105, 10 -7 -255 8, 1, 8 1, 194 301290, 3105, 8 5 -263 1, 1, 66 1, 8 4233, 1057, 66 -9 -263 2, -1, 33 3, 199 1306254, -866459, 143684 5 -263 2, 1, 33 1, 16 8466, 1057, 33 -9 -263 3, -1, 22 1, 58 73953, 2551, 22 5 -263 3, 1, 22 1, 24 12699, 1057, 22 -9 -263 4, -3, 17 1, 163 451188, 5539, 17 5 -263 4, 3, 17 1, 31 16434, 1057, 17 5 -263 6, -5, 12 1, 231 639183, 5539, 12 5 -263 6, -1, 11 1, 116 147906, 2551, 11 -9 -263 6, 1, 11 1, 48 25398, 1057, 11 -9 -263 6, 5, 12 3, 7 747, -437, 64 5 -263 8, -5, 9 1, 142 180774, 2551, 9 5 -263 8, 5, 9 3, 37 12948, -8405, 1364 7 -264 1, 0, 66 3, 91 546555, -360366, 59401 -7 -264 2, 0, 33 3, 16 8466, -5292, 827 -7 -264 3, 0, 22 1, 174 666075, 7656, 22 7 -264 5, -4, 14 1, 238 792069, 6660, 14 -7 -264 5, 4, 14 1, 131 240783, 3672, 14 7 -264 6, 0, 11 1, 99 107817, 2178, 11 -7 -264 7, -4, 10 1, 134 179031, 2676, 10 7 -264 7, 4, 10 1, 34 11703, 684, 10 -14 -267 1, 1, 67 1, 160 1715361, 21441, 67 14 -267 3, 3, 23 1, 33 25149, 1521, 23 -6 -284 1, 0, 71 1, 67 318720, 9514, 71 8 -284 3, -2, 24 1, 219 1150629, 10510, 24 -6 -284 3, 2, 24 3, 55 72957, -47756, 7815 -6 -284 5, -4, 15 3, 238 846849, -562190, 93304 8 -284 5, 4, 15 1, 151 342624, 4534, 15 8 -284 8, -2, 9 1, 169 256719, 3040, 9 -6 -284 8, 2, 9 3, 202 368520, -244466, 40543 -7 -288 1, 0, 72 3, 106 809001, -534246, 88201 7 -288 4, 4, 19 1, 160 487044, 6084, 19 -7 -288 8, 0, 9 3, 184 304776, -202080, 33497 7 -288 8, 8, 11 1, 163 293571, 3594, 11 7 -288 3, 0, 24 1, 189 857307, 9072, 24 -7 -288 9, 6, 9 1, 227 465132, 4092, 9 7 -288 3, 0, 24 3, 235 1325427, -879858, 146019 -7 -288 9, 6, 9 1, 61 33864, 1104, 9 0 -291 1, 1, 73 1, 226 3728775, 32997, 73 0 -291 3, 3, 25 1, 132 435999, 6603, 25 0 -291 5, -3, 15 3, 229 784599, -520779, 86417 0 -291 5, 3, 15 3, 79 94371, -62121, 10223