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| -rwxr-xr-x | l-multiples_l-torsion/100k-3.gp | 9389 |
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diff --git a/l-multiples_l-torsion/100k-3.gp b/l-multiples_l-torsion/100k-3.gp new file mode 100755 index 0000000..451c688 --- /dev/null +++ b/l-multiples_l-torsion/100k-3.gp | |||
| @@ -0,0 +1,9389 @@ | |||
| 1 | |||
| 2 | \\ Elliptic curves downloaded from the LMFDB downloaded on 10 January 2019. | ||
| 3 | \\ Below is a list called data. Each entry has the form: | ||
| 4 | \\ [a1,a2,a3,a4,a6] (Weierstrass Coefficients) | ||
| 5 | |||
| 6 | |||
| 7 | data = [\ | ||
| 8 | [0,0,1,-54,-88],\ | ||
| 9 | [0,1,1,13,42],\ | ||
| 10 | [0,1,0,-2,1],\ | ||
| 11 | [0,1,1,-83,244],\ | ||
| 12 | [1,-1,0,-96,1088],\ | ||
| 13 | [0,0,0,27,-27],\ | ||
| 14 | [0,1,1,-1423,-21113],\ | ||
| 15 | [1,-1,1,-6404,199847],\ | ||
| 16 | [0,0,1,-6924,221760],\ | ||
| 17 | [0,1,1,-27,55],\ | ||
| 18 | [0,0,1,-534,4752],\ | ||
| 19 | [1,-1,0,-6,8],\ | ||
| 20 | [1,0,0,-2,4],\ | ||
| 21 | [1,0,1,-621,-7064],\ | ||
| 22 | [0,1,1,-7,5],\ | ||
| 23 | [0,1,1,3,2],\ | ||
| 24 | [0,0,1,-210,1134],\ | ||
| 25 | [0,0,0,-9,9],\ | ||
| 26 | [1,-1,0,-96,386],\ | ||
| 27 | [1,-1,1,-29,37],\ | ||
| 28 | [1,0,1,800,1070],\ | ||
| 29 | [0,0,1,-18,29],\ | ||
| 30 | [1,0,0,-3473,-79127],\ | ||
| 31 | [1,-1,0,-177,197],\ | ||
| 32 | [0,0,1,-24,45],\ | ||
| 33 | [1,0,0,-302,-2036],\ | ||
| 34 | [0,1,1,5,6],\ | ||
| 35 | [0,1,0,-13,15],\ | ||
| 36 | [1,0,0,-57,161],\ | ||
| 37 | [0,0,1,240,1233],\ | ||
| 38 | [0,0,0,-24,-284],\ | ||
| 39 | [0,0,1,-84,315],\ | ||
| 40 | [0,0,1,-246,2043],\ | ||
| 41 | [0,0,1,0,20],\ | ||
| 42 | [1,-1,0,-177,953],\ | ||
| 43 | [1,0,0,-22,36],\ | ||
| 44 | [1,0,0,27,1],\ | ||
| 45 | [1,0,0,-36,-440],\ | ||
| 46 | [0,0,1,-16860,842625],\ | ||
| 47 | [0,0,0,-264,1636],\ | ||
| 48 | [1,-1,0,-4041,99891],\ | ||
| 49 | [0,1,1,-23,41],\ | ||
| 50 | [0,1,1,15,-69],\ | ||
| 51 | [1,0,1,714,-16080],\ | ||
| 52 | [0,0,0,-57,169],\ | ||
| 53 | [0,1,0,-93,316],\ | ||
| 54 | [1,-1,0,-81,783],\ | ||
| 55 | [1,0,0,167,225],\ | ||
| 56 | [1,0,0,-8,64],\ | ||
| 57 | [0,1,1,-163,1721],\ | ||
| 58 | [0,1,0,-77,236],\ | ||
| 59 | [0,1,1,-253,441],\ | ||
| 60 | [1,0,1,-2801,49924],\ | ||
| 61 | [1,0,1,-26,46],\ | ||
| 62 | [1,-1,0,-1332,19062],\ | ||
| 63 | [1,-1,0,-221427,40159989],\ | ||
| 64 | [0,1,0,-188,932],\ | ||
| 65 | [1,-1,0,-27,99],\ | ||
| 66 | [1,-1,0,-1197,16245],\ | ||
| 67 | [0,1,1,-7112371,-7584550689],\ | ||
| 68 | [1,-1,0,-522,4590],\ | ||
| 69 | [0,0,0,105,142],\ | ||
| 70 | [0,1,1,7,12],\ | ||
| 71 | [1,0,1,-901,-10648],\ | ||
| 72 | [0,0,1,-2268,41573],\ | ||
| 73 | [0,1,0,-228,1252],\ | ||
| 74 | [0,0,0,-135,702],\ | ||
| 75 | [0,1,1,-457,3560],\ | ||
| 76 | [0,1,1,-3275,-57546],\ | ||
| 77 | [1,-1,1,-455,3647],\ | ||
| 78 | [1,0,1,-14605,702472],\ | ||
| 79 | [0,0,0,-72,36],\ | ||
| 80 | [1,0,0,15753,666801],\ | ||
| 81 | [0,0,1,-1506,24354],\ | ||
| 82 | [1,0,0,-133932,-25444656],\ | ||
| 83 | [1,-1,1,-234509,43769909],\ | ||
| 84 | [1,0,0,3149,66081],\ | ||
| 85 | [1,-1,0,-25020,1529550],\ | ||
| 86 | [0,1,1,4415,-63694],\ | ||
| 87 | [1,-1,1,-1094,133589],\ | ||
| 88 | [0,0,1,-102,252],\ | ||
| 89 | [1,-1,0,-1122,11348],\ | ||
| 90 | [1,-1,0,-4986,136836],\ | ||
| 91 | [0,0,0,-63,198],\ | ||
| 92 | [1,0,0,12,-8],\ | ||
| 93 | [0,0,1,-270570,54171090],\ | ||
| 94 | [1,-1,1,-3380,76439],\ | ||
| 95 | [0,0,1,1734,10044],\ | ||
| 96 | [0,1,1,-333,2244],\ | ||
| 97 | [0,1,1,-36581,2679900],\ | ||
| 98 | [1,-1,1,-338,12881],\ | ||
| 99 | [1,0,1,3887,-78212],\ | ||
| 100 | [1,0,1,-256,2854],\ | ||
| 101 | [0,0,0,33,-26],\ | ||
| 102 | [1,0,0,67,113],\ | ||
| 103 | [0,0,1,348,2835],\ | ||
| 104 | [0,0,1,-894,23535],\ | ||
| 105 | [0,0,1,-378,4529],\ | ||
| 106 | [0,0,0,-62769,6052921],\ | ||
| 107 | [1,-1,0,-219660,39865616],\ | ||
| 108 | [1,-1,0,-162,3024],\ | ||
| 109 | [0,0,1,-1771248,907333974],\ | ||
| 110 | [0,1,1,-159549,-38239046],\ | ||
| 111 | [1,-1,0,-54,360],\ | ||
| 112 | [0,0,1,-486,4124],\ | ||
| 113 | [0,0,1,6,-468],\ | ||
| 114 | [1,-1,0,162,2808],\ | ||
| 115 | [1,-1,0,-24723,1502433],\ | ||
| 116 | [1,-1,0,54,288],\ | ||
| 117 | [1,0,1,-2175,-36590],\ | ||
| 118 | [1,0,1,-654,4152],\ | ||
| 119 | [0,1,1,-163,748],\ | ||
| 120 | [1,0,1,562,-105344],\ | ||
| 121 | [0,1,1,243,-4705],\ | ||
| 122 | [0,1,1,-28027,1796670],\ | ||
| 123 | [0,0,1,726,13545],\ | ||
| 124 | [1,0,0,-701,-5095],\ | ||
| 125 | [0,0,1,-90552,10509777],\ | ||
| 126 | [0,0,0,-45,117],\ | ||
| 127 | [1,0,1,121,-4894],\ | ||
| 128 | [0,1,0,-108,388],\ | ||
| 129 | [0,1,1,-4781,136281],\ | ||
| 130 | [0,0,0,15,-23],\ | ||
| 131 | [0,0,1,1302,3528],\ | ||
| 132 | [1,-1,0,-2718,54972],\ | ||
| 133 | [1,-1,0,-10950,443780],\ | ||
| 134 | [1,-1,0,-26802,1695654],\ | ||
| 135 | [1,-1,0,-3957,106037],\ | ||
| 136 | [0,1,1,7,-53],\ | ||
| 137 | [0,0,1,-12810,557235],\ | ||
| 138 | [0,0,1,-1037190,406570248],\ | ||
| 139 | [1,-1,0,-219888,39742218],\ | ||
| 140 | [0,0,0,-324,2241],\ | ||
| 141 | [0,0,0,-1992,39076],\ | ||
| 142 | [1,-1,1,2785,6023],\ | ||
| 143 | [1,0,1,-1664,30862],\ | ||
| 144 | [0,0,1,-395274,95652315],\ | ||
| 145 | [0,0,1,-3684,84330],\ | ||
| 146 | [1,-1,1,526,30449],\ | ||
| 147 | [1,-1,1,-1352,-12149],\ | ||
| 148 | [1,0,1,-31421,2098200],\ | ||
| 149 | [1,-1,1,4180,-50641],\ | ||
| 150 | [0,1,1,-863,6705],\ | ||
| 151 | [0,0,0,-489,7369],\ | ||
| 152 | [1,0,0,-2031,88145],\ | ||
| 153 | [0,0,1,-318,2178],\ | ||
| 154 | [0,1,1,579,83810],\ | ||
| 155 | [0,0,0,-15375,733750],\ | ||
| 156 | [0,1,1,-193,970],\ | ||
| 157 | [0,1,1,-157,-705],\ | ||
| 158 | [1,0,0,-2066,-41404],\ | ||
| 159 | [0,0,1,1410,4914],\ | ||
| 160 | [1,-1,0,243,6399],\ | ||
| 161 | [1,-1,1,148,2351],\ | ||
| 162 | [1,-1,1,795451,364884797],\ | ||
| 163 | [1,-1,1,-3155,72947],\ | ||
| 164 | [0,0,0,483,5749],\ | ||
| 165 | [1,0,1,-3806,-60208],\ | ||
| 166 | [1,-1,0,-2151,38151],\ | ||
| 167 | [0,1,1,-8675,-314021],\ | ||
| 168 | [0,0,1,-858,9828],\ | ||
| 169 | [1,-1,0,288,-4050],\ | ||
| 170 | [1,0,1,1031,19676],\ | ||
| 171 | [1,0,0,58,-22684],\ | ||
| 172 | [1,-1,1,-73580,-7523089],\ | ||
| 173 | [1,0,0,288,-27584],\ | ||
| 174 | [1,-1,1,-299,2107],\ | ||
| 175 | [0,0,1,-7572,253620],\ | ||
| 176 | [0,0,1,-177390,28599392],\ | ||
| 177 | [1,-1,1,-7184,234739],\ | ||
| 178 | [0,0,0,-420,3313],\ | ||
| 179 | [1,0,0,-58822,-5496476],\ | ||
| 180 | [1,0,0,-288,-27712],\ | ||
| 181 | [1,-1,1,1498,248501],\ | ||
| 182 | [1,-1,1,-167,-9241],\ | ||
| 183 | [1,0,0,-65738,-6492380],\ | ||
| 184 | [1,-1,1,-63797,6225869],\ | ||
| 185 | [1,0,0,1427,-22511],\ | ||
| 186 | [1,-1,1,-78950,8557813],\ | ||
| 187 | [1,-1,0,-5364,152748],\ | ||
| 188 | [1,-1,1,-50,-1159],\ | ||
| 189 | [1,0,0,49377,14082265],\ | ||
| 190 | [1,-1,0,-2547,51705],\ | ||
| 191 | [0,1,1,-557,4545],\ | ||
| 192 | [0,1,1,-55,209],\ | ||
| 193 | [1,-1,1,-9842,10768241],\ | ||
| 194 | [0,1,1,-79,-436],\ | ||
| 195 | [1,-1,0,-108,1368],\ | ||
| 196 | [0,0,0,267,1573],\ | ||
| 197 | [1,0,1,-1888241,-998908100],\ | ||
| 198 | [0,1,1,887,4318],\ | ||
| 199 | [1,0,1,16389,-3528890],\ | ||
| 200 | [1,0,1,-3988,-132462],\ | ||
| 201 | [0,0,1,-1740,19368],\ | ||
| 202 | [1,-1,1,-5954,3942209],\ | ||
| 203 | [0,1,1,-1143,14536],\ | ||
| 204 | [0,1,1,-1437,16372],\ | ||
| 205 | [1,0,0,436,-8048],\ | ||
| 206 | [0,1,0,-1333,18295],\ | ||
| 207 | [0,0,0,-120,388],\ | ||
| 208 | [0,1,1,-1293,21540],\ | ||
| 209 | [1,-1,0,693,-6183],\ | ||
| 210 | [0,1,0,-1397,19639],\ | ||
| 211 | [0,0,0,-12432,539044],\ | ||
| 212 | [1,0,0,-582,5356],\ | ||
| 213 | [1,0,0,-3368,17984],\ | ||
| 214 | [1,0,0,-569,5177],\ | ||
| 215 | [0,0,0,60,-767],\ | ||
| 216 | [0,0,0,-540,4833],\ | ||
| 217 | [1,0,0,-608,5720],\ | ||
| 218 | [1,-1,1,-69908,12371447],\ | ||
| 219 | [1,0,1,16673,-505358],\ | ||
| 220 | [1,-1,1,11425,468551],\ | ||
| 221 | [1,-1,1,-28139,1824059],\ | ||
| 222 | [1,-1,0,-4419,114183],\ | ||
| 223 | [1,-1,0,-34476660,-44141945904],\ | ||
| 224 | [0,1,0,-458,3713],\ | ||
| 225 | [0,1,1,-21177,-1558825],\ | ||
| 226 | [1,-1,0,-147852,21919248],\ | ||
| 227 | [0,0,1,-414,3242],\ | ||
| 228 | [1,-1,1,-16259,797699],\ | ||
| 229 | [1,-1,0,-387,2745],\ | ||
| 230 | [0,1,1,-53,88],\ | ||
| 231 | [1,-1,0,540,32040],\ | ||
| 232 | [0,0,1,-5628,162414],\ | ||
| 233 | [1,0,1,-1817,24708],\ | ||
| 234 | [1,-1,1,-5180,167447],\ | ||
| 235 | [1,-1,1,-27455,3612647],\ | ||
| 236 | [0,0,0,-567,3726],\ | ||
| 237 | [1,-1,1,33505,-684665],\ | ||
| 238 | [1,-1,1,2455,1513],\ | ||
| 239 | [1,-1,0,-60957,6006429],\ | ||
| 240 | [0,0,1,-53130,4711149],\ | ||
| 241 | [0,1,1,1007,13447],\ | ||
| 242 | [0,0,0,-4377,538729],\ | ||
| 243 | [1,-1,0,-338452578,2396680742988],\ | ||
| 244 | [0,1,0,-814,8673],\ | ||
| 245 | [0,0,1,204,-32472],\ | ||
| 246 | [0,0,0,528,-39836],\ | ||
| 247 | [1,-1,1,-14774,687629],\ | ||
| 248 | [1,-1,1,-617,-469591],\ | ||
| 249 | [0,0,1,-450,3674],\ | ||
| 250 | [1,-1,1,-1193189,501960989],\ | ||
| 251 | [1,-1,0,-3357,80757],\ | ||
| 252 | [0,0,1,-2106,37199],\ | ||
| 253 | [0,1,1,47,-1444],\ | ||
| 254 | [0,0,1,-2268,35714],\ | ||
| 255 | [0,0,0,-1332120,-8074892828],\ | ||
| 256 | [0,0,1,-4134,480915],\ | ||
| 257 | [0,1,1,-173,820],\ | ||
| 258 | [0,1,1,111,-105],\ | ||
| 259 | [0,0,1,-408,5229],\ | ||
| 260 | [1,-1,1,-284,9119],\ | ||
| 261 | [1,-1,0,-486,26568],\ | ||
| 262 | [1,-1,1,895,-6703],\ | ||
| 263 | [1,-1,1,-756680,253575947],\ | ||
| 264 | [0,0,1,-4422,161892],\ | ||
| 265 | [1,0,0,-803,8705],\ | ||
| 266 | [0,0,1,-399432,97165575],\ | ||
| 267 | [0,0,1,-17670,904077],\ | ||
| 268 | [0,0,0,-22125,1268125],\ | ||
| 269 | [1,-1,1,67,461],\ | ||
| 270 | [0,0,0,-797511,274128478],\ | ||
| 271 | [0,0,0,24,-572],\ | ||
| 272 | [0,0,0,-504,4356],\ | ||
| 273 | [0,0,0,34575,-73775],\ | ||
| 274 | [1,0,0,-21183,-1188207],\ | ||
| 275 | [1,-1,0,-864,83520],\ | ||
| 276 | [1,-1,1,511,1297],\ | ||
| 277 | [1,-1,0,-18783,994113],\ | ||
| 278 | [1,-1,1,-1265,17633],\ | ||
| 279 | [1,-1,0,-3285,73251],\ | ||
| 280 | [1,-1,1,-35267,2564291],\ | ||
| 281 | [1,-1,1,-302225,64140545],\ | ||
| 282 | [1,-1,1,-166442,26184809],\ | ||
| 283 | [1,0,0,-8462601,10074373785],\ | ||
| 284 | [0,1,1,81,1640],\ | ||
| 285 | [1,0,0,113,-89991],\ | ||
| 286 | [1,-1,1,1093,132131],\ | ||
| 287 | [0,0,0,-108192,13697476],\ | ||
| 288 | [0,1,1,-167,1805],\ | ||
| 289 | [1,-1,1,3046,-317311],\ | ||
| 290 | [0,0,0,81,-5994],\ | ||
| 291 | [0,0,0,143088,32083684],\ | ||
| 292 | [0,0,0,-292440,60871876],\ | ||
| 293 | [1,0,0,307,3473],\ | ||
| 294 | [1,-1,1,-8015,360983],\ | ||
| 295 | [0,0,0,-2511,48438],\ | ||
| 296 | [0,0,0,-35640,2589732],\ | ||
| 297 | [0,0,0,-3240,-131868],\ | ||
| 298 | [0,1,1,-104659,-13066250],\ | ||
| 299 | [0,0,1,-5520,135387],\ | ||
| 300 | [0,0,1,-63336,6135129],\ | ||
| 301 | [0,0,0,-262713,-169989887],\ | ||
| 302 | [1,0,0,-64,4096],\ | ||
| 303 | [1,-1,0,-1559232,749790864],\ | ||
| 304 | [1,-1,0,-2532357,1551717945],\ | ||
| 305 | [0,0,0,-588,5497],\ | ||
| 306 | [0,0,1,132,279],\ | ||
| 307 | [1,-1,0,-31257,2136429],\ | ||
| 308 | [1,0,0,613857,-1307431],\ | ||
| 309 | [1,-1,0,117,-14553],\ | ||
| 310 | [1,-1,1,9598,10230401],\ | ||
| 311 | [1,-1,1,244705,263779463],\ | ||
| 312 | [0,0,1,-103656,12844944],\ | ||
| 313 | [1,-1,1,-27320,-10030021],\ | ||
| 314 | [1,-1,0,513,28899],\ | ||
| 315 | [0,0,1,-8868,321714],\ | ||
| 316 | [0,0,1,-4890522,5138330967],\ | ||
| 317 | [1,-1,1,-515,29755],\ | ||
| 318 | [1,-1,1,-149180,13208447],\ | ||
| 319 | [1,0,0,6754,-267924],\ | ||
| 320 | [0,0,1,1698,77535],\ | ||
| 321 | [1,-1,1,-101705,12762569],\ | ||
| 322 | [1,-1,1,-25205,-1347955],\ | ||
| 323 | [0,0,0,3120,-85628],\ | ||
| 324 | [0,1,1,-3549,80020],\ | ||
| 325 | [1,-1,1,-860,9911],\ | ||
| 326 | [1,-1,1,-505580,138314351],\ | ||
| 327 | [1,0,1,-11303,-462302],\ | ||
| 328 | [1,-1,1,-1010984,399872747],\ | ||
| 329 | [1,-1,1,5350,74081],\ | ||
| 330 | [1,-1,0,-5768001,5333392701],\ | ||
| 331 | [1,-1,0,-648,47088],\ | ||
| 332 | [1,-1,1,-141656,20556443],\ | ||
| 333 | [1,0,1,-8026,291660],\ | ||
| 334 | [1,-1,1,78781,1918019],\ | ||
| 335 | [0,1,1,31,-95],\ | ||
| 336 | [1,-1,0,-216,5328],\ | ||
| 337 | [0,1,1,-3423,67926],\ | ||
| 338 | [1,-1,0,-9761103,11740504203],\ | ||
| 339 | [1,-1,0,2313,-135],\ | ||
| 340 | [0,0,1,-6276,191358],\ | ||
| 341 | [1,0,1,-7731,-821554],\ | ||
| 342 | [0,0,1,-107544,13574592],\ | ||
| 343 | [1,-1,0,648,46224],\ | ||
| 344 | [1,0,0,-37713,3219281],\ | ||
| 345 | [1,-1,0,-9006,331028],\ | ||
| 346 | [0,0,1,-3090,21015],\ | ||
| 347 | [1,-1,1,-25763,1598051],\ | ||
| 348 | [1,-1,0,-17001,854253],\ | ||
| 349 | [0,1,1,13117,-3553690],\ | ||
| 350 | [0,0,0,-558327,216960046],\ | ||
| 351 | [1,-1,1,1012621,-3364010413],\ | ||
| 352 | [0,0,1,-4212,106697],\ | ||
| 353 | [1,0,1,353119,227939916],\ | ||
| 354 | [0,1,1,-93,300],\ | ||
| 355 | [1,-1,1,-15305,1186697],\ | ||
| 356 | [1,-1,0,729,58563],\ | ||
| 357 | [1,-1,0,153,-3015],\ | ||
| 358 | [0,1,1,-211689,32656574],\ | ||
| 359 | [1,0,1,-13403,-587994],\ | ||
| 360 | [1,-1,0,-15401502,23268297492],\ | ||
| 361 | [0,0,1,762,-972],\ | ||
| 362 | [0,0,0,197664,-3787292],\ | ||
| 363 | [0,0,0,-17265,873169],\ | ||
| 364 | [0,0,0,1455,56617],\ | ||
| 365 | [0,0,1,-3507438,2528326269],\ | ||
| 366 | [0,1,1,-397,2295],\ | ||
| 367 | [1,0,0,-39313810,-94881275900],\ | ||
| 368 | [1,-1,1,850,79805],\ | ||
| 369 | [1,-1,0,-454878,118197252],\ | ||
| 370 | [1,-1,1,1899058,1177721309],\ | ||
| 371 | [1,-1,1,-785,10369],\ | ||
| 372 | [1,-1,1,-545,-1591],\ | ||
| 373 | [0,1,1,-39,109],\ | ||
| 374 | [1,-1,1,-88052,19208279],\ | ||
| 375 | [0,0,0,-8112,281284],\ | ||
| 376 | [1,-1,0,-49581,4261761],\ | ||
| 377 | [0,0,0,5784,197188],\ | ||
| 378 | [1,-1,1,9283,-531259],\ | ||
| 379 | [1,-1,0,-9522,370548],\ | ||
| 380 | [0,1,1,-123,480],\ | ||
| 381 | [1,-1,0,633,2573],\ | ||
| 382 | [1,-1,0,-613242,184988916],\ | ||
| 383 | [0,1,1,-113,418],\ | ||
| 384 | [0,0,0,-84,121],\ | ||
| 385 | [1,-1,1,-1221377,519850001],\ | ||
| 386 | [1,0,1,-420117,104474208],\ | ||
| 387 | [1,-1,1,-3368930,-2317366303],\ | ||
| 388 | [1,-1,0,-4977,156357],\ | ||
| 389 | [1,-1,0,-2504007,1525736925],\ | ||
| 390 | [1,-1,1,-2573465,1589649401],\ | ||
| 391 | [0,1,1,-38837,-2958515],\ | ||
| 392 | [1,0,1,-59055,5449802],\ | ||
| 393 | [1,-1,0,-484686,130000356],\ | ||
| 394 | [1,-1,1,-1634,297569],\ | ||
| 395 | [0,1,1,-3309,-55726],\ | ||
| 396 | [1,-1,0,3123,11637],\ | ||
| 397 | [0,0,0,-564375,-1104691250],\ | ||
| 398 | [1,-1,0,-216810,38911050],\ | ||
| 399 | [0,1,1,-613,5968],\ | ||
| 400 | [1,-1,0,-23004,156528],\ | ||
| 401 | [1,-1,1,-600305,114721697],\ | ||
| 402 | [0,1,1,901,50399],\ | ||
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| 1860 | [0,0,0,-7545,240721],\ | ||
| 1861 | [0,1,0,-21257459741,1192923471856095],\ | ||
| 1862 | [0,0,1,-1701264,854090730],\ | ||
| 1863 | [1,-1,0,-6561,4787343],\ | ||
| 1864 | [0,0,1,-11190,453285],\ | ||
| 1865 | [0,0,1,-8130,-5512140],\ | ||
| 1866 | [0,0,1,73140,148486383],\ | ||
| 1867 | [1,-1,1,-9735305,11693993105],\ | ||
| 1868 | [0,0,0,-13125,4804837],\ | ||
| 1869 | [0,0,0,4812,131497],\ | ||
| 1870 | [0,0,0,13119,4761097],\ | ||
| 1871 | [1,0,1,-4163332,3314845442],\ | ||
| 1872 | [0,0,0,84903,-52919039],\ | ||
| 1873 | [1,-1,0,-58707,5492133],\ | ||
| 1874 | [0,0,0,26241,19088134],\ | ||
| 1875 | [1,-1,0,-320742,69702228],\ | ||
| 1876 | [1,-1,1,122584,1571123],\ | ||
| 1877 | [1,0,0,-5138321,12423121665],\ | ||
| 1878 | [0,0,1,-436854,111142125],\ | ||
| 1879 | [1,-1,0,-1354437,-2621785131],\ | ||
| 1880 | [1,-1,0,5220,-47844],\ | ||
| 1881 | [1,-1,1,-363785,85108745],\ | ||
| 1882 | [1,0,1,59614,-402676],\ | ||
| 1883 | [0,0,0,-1236,17593],\ | ||
| 1884 | [0,0,1,-307830,65746530],\ | ||
| 1885 | [1,0,1,-17847621,29021506696],\ | ||
| 1886 | [1,-1,0,-5787,202905],\ | ||
| 1887 | [0,0,1,-24935160,47925466893],\ | ||
| 1888 | [1,0,1,367862161,4820781224162],\ | ||
| 1889 | [1,-1,0,-28053,804087],\ | ||
| 1890 | [0,0,0,26196,4607881],\ | ||
| 1891 | [0,0,0,8304,-107228],\ | ||
| 1892 | [0,0,1,2706,34182],\ | ||
| 1893 | [1,-1,0,-23814,63027720],\ | ||
| 1894 | [0,0,0,-35895,2672206],\ | ||
| 1895 | [0,0,1,-392850,139981628],\ | ||
| 1896 | [0,0,0,-4854000,4116602500],\ | ||
| 1897 | [0,0,0,-597441,177538273],\ | ||
| 1898 | [1,-1,1,-229658,-4685479],\ | ||
| 1899 | [0,0,1,2796,-81180],\ | ||
| 1900 | [1,-1,1,8770,-27793267],\ | ||
| 1901 | [1,-1,1,-68789273,223399730297],\ | ||
| 1902 | [0,0,0,-10785,428209],\ | ||
| 1903 | [1,-1,0,-1203759,508644765],\ | ||
| 1904 | [1,0,1,19470,-315940],\ | ||
| 1905 | [1,-1,1,2155,-280915],\ | ||
| 1906 | [1,-1,0,-26676,625536],\ | ||
| 1907 | [0,0,1,-133914,16464195],\ | ||
| 1908 | [1,-1,1,3235,-48931],\ | ||
| 1909 | [1,0,0,-34740,2515600],\ | ||
| 1910 | [0,0,1,-16830,840377],\ | ||
| 1911 | [1,-1,0,-7110,-23454],\ | ||
| 1912 | [0,0,1,-693462,224302365],\ | ||
| 1913 | [1,-1,1,-10136174,12423661949],\ | ||
| 1914 | [0,0,0,-6551060223,275049018692422],\ | ||
| 1915 | [1,-1,0,-221189925,1266237270861],\ | ||
| 1916 | [1,-1,0,-17038293183,856030828106637],\ | ||
| 1917 | [0,0,0,-82047,9052486],\ | ||
| 1918 | [1,0,1,-71143,4930556],\ | ||
| 1919 | [1,-1,1,-1197887,504927911],\ | ||
| 1920 | [0,0,1,-56312922,162652299642],\ | ||
| 1921 | [0,0,1,-14742,648830],\ | ||
| 1922 | [1,0,1,-10764,433936],\ | ||
| 1923 | [1,0,0,-32940,2297592],\ | ||
| 1924 | [0,0,0,-1900173,1161816253],\ | ||
| 1925 | [1,-1,1,-136805,84495197],\ | ||
| 1926 | [1,0,1,-83271,10414330],\ | ||
| 1927 | [1,-1,0,-2996316,-983970342],\ | ||
| 1928 | [0,0,1,24828,446670],\ | ||
| 1929 | [0,0,1,-5394,233982],\ | ||
| 1930 | [0,1,1,2415,85431],\ | ||
| 1931 | [1,-1,0,-1773,27747],\ | ||
| 1932 | [1,-1,1,-45896,3795923],\ | ||
| 1933 | [1,-1,1,-599252,186838751],\ | ||
| 1934 | [1,-1,1,10606,45137],\ | ||
| 1935 | [1,0,1,-47204,3945026],\ | ||
| 1936 | [1,-1,0,-20852757,36656864469],\ | ||
| 1937 | [1,0,1,-211742216,-1438739662534],\ | ||
| 1938 | [1,0,1,-93414066,347502034066],\ | ||
| 1939 | [1,-1,1,-59244989,175534380677],\ | ||
| 1940 | [0,0,1,-90696,10507554],\ | ||
| 1941 | [1,-1,1,-28401188,58379562911],\ | ||
| 1942 | [0,0,0,-624,-1709399],\ | ||
| 1943 | [0,0,0,-2997,63261],\ | ||
| 1944 | [0,0,1,-1059870,419978718],\ | ||
| 1945 | [1,0,0,-41343,381529],\ | ||
| 1946 | [0,0,1,-8760,308295],\ | ||
| 1947 | [1,-1,1,328963,-152266939],\ | ||
| 1948 | [0,0,1,-3129312216,67378623434289],\ | ||
| 1949 | [0,0,0,567,-11583],\ | ||
| 1950 | [1,-1,0,-222966,40579218],\ | ||
| 1951 | [0,0,1,-3972,444195],\ | ||
| 1952 | [0,0,1,-2254098,1302588693],\ | ||
| 1953 | [0,0,0,104208,16324324],\ | ||
| 1954 | [0,1,1,-5827845,-5417103651],\ | ||
| 1955 | [0,0,0,-78645,8492533],\ | ||
| 1956 | [1,-1,1,-1985,438905],\ | ||
| 1957 | [1,-1,1,-199211,45343739],\ | ||
| 1958 | [1,0,0,-5383104,4937793472],\ | ||
| 1959 | [1,-1,0,-3420333,2435655717],\ | ||
| 1960 | [1,-1,1,-11255,669647],\ | ||
| 1961 | [0,1,1,-5592981,5087156556],\ | ||
| 1962 | [1,0,0,-1935221,1556376865],\ | ||
| 1963 | [1,-1,1,367420,596451647],\ | ||
| 1964 | [0,1,1,-5419,151760],\ | ||
| 1965 | [1,0,1,-2344347,1382492558],\ | ||
| 1966 | [1,-1,0,-7821,271971],\ | ||
| 1967 | [1,-1,1,-33554930,74827987697],\ | ||
| 1968 | [1,-1,1,543168445,-34490128517053],\ | ||
| 1969 | [0,0,1,-70140,7150059],\ | ||
| 1970 | [1,-1,1,-920705,339858065],\ | ||
| 1971 | [1,-1,1,-19217264,30147145427],\ | ||
| 1972 | [1,-1,1,17095,1132697],\ | ||
| 1973 | [1,-1,0,5958,98766],\ | ||
| 1974 | [1,-1,0,-63117,-10232109],\ | ||
| 1975 | [1,-1,1,-8096846,8869944413],\ | ||
| 1976 | [1,-1,1,-3781049,-2820803623],\ | ||
| 1977 | [1,-1,0,-21168,-74088],\ | ||
| 1978 | [1,-1,0,45477,3830247],\ | ||
| 1979 | [0,0,1,-1524,12960],\ | ||
| 1980 | [0,0,0,-19677,871621],\ | ||
| 1981 | [1,-1,0,-49992,4263416],\ | ||
| 1982 | [0,0,1,1320,46413],\ | ||
| 1983 | [1,-1,0,-333492,81942416],\ | ||
| 1984 | [0,1,1,-78283,8319170],\ | ||
| 1985 | [1,-1,0,-80367,8789291],\ | ||
| 1986 | [0,0,0,-103164528,-355723414652],\ | ||
| 1987 | [1,-1,0,106263,153873],\ | ||
| 1988 | [1,-1,0,-140139,21319173],\ | ||
| 1989 | [1,0,0,-32523,1910105],\ | ||
| 1990 | [1,-1,0,91746,-9275472],\ | ||
| 1991 | [0,0,1,-42438,-3842091],\ | ||
| 1992 | [1,-1,0,-13689,20830095],\ | ||
| 1993 | [1,-1,0,-19791,-245349],\ | ||
| 1994 | [1,-1,0,-2781837,1786637817],\ | ||
| 1995 | [0,0,1,-238728,49060233],\ | ||
| 1996 | [0,1,1,1223,-3040],\ | ||
| 1997 | [1,-1,0,-151983,22844187],\ | ||
| 1998 | [0,0,1,2058,-942993],\ | ||
| 1999 | [0,0,1,-941772,351939717],\ | ||
| 2000 | [1,-1,0,-2529,49203],\ | ||
| 2001 | [1,-1,1,-170512439,859765011599],\ | ||
| 2002 | [0,1,1,-16207,789367],\ | ||
| 2003 | [0,0,1,-36110550,83521689048],\ | ||
| 2004 | [1,-1,1,3625915,8412619709],\ | ||
| 2005 | [1,-1,1,-25394,71664689],\ | ||
| 2006 | [0,0,0,-14136519,-23405380994],\ | ||
| 2007 | [1,-1,1,-301055,60998447],\ | ||
| 2008 | [0,1,1,-4567,13020],\ | ||
| 2009 | [0,0,0,-112080,14442433],\ | ||
| 2010 | [0,0,0,-133077,19026421],\ | ||
| 2011 | [1,0,0,-30003,2339065],\ | ||
| 2012 | [0,1,0,-1158892,480051236],\ | ||
| 2013 | [1,-1,0,54279,42093],\ | ||
| 2014 | [1,-1,1,-1721192,869626091],\ | ||
| 2015 | [1,-1,0,45189,-2041659],\ | ||
| 2016 | [1,-1,0,-34839,2505573],\ | ||
| 2017 | [0,0,1,-1542,68355],\ | ||
| 2018 | [0,1,1,183,57],\ | ||
| 2019 | [0,0,0,13497,5039998],\ | ||
| 2020 | [1,-1,0,275247,56824173],\ | ||
| 2021 | [0,0,0,-2532,59281],\ | ||
| 2022 | [0,0,0,-75999,3161734],\ | ||
| 2023 | [1,-1,0,-8343405,9664676901],\ | ||
| 2024 | [1,0,1,-23007,517642],\ | ||
| 2025 | [1,-1,1,-29921,2000369],\ | ||
| 2026 | [1,-1,1,-2057,35489],\ | ||
| 2027 | [1,-1,1,5701,-850453],\ | ||
| 2028 | [1,-1,1,-24096857,45535169081],\ | ||
| 2029 | [1,-1,0,-390294,93904308],\ | ||
| 2030 | [1,-1,1,-257,7481],\ | ||
| 2031 | [1,-1,1,-207122,101122769],\ | ||
| 2032 | [0,0,1,7890,384534],\ | ||
| 2033 | [0,0,0,-93936,11078233],\ | ||
| 2034 | [0,0,1,-28311456,57981763584],\ | ||
| 2035 | [1,-1,0,-238363155,1416527702325],\ | ||
| 2036 | [1,-1,1,-116780,4074671],\ | ||
| 2037 | [1,-1,0,2007,-274707],\ | ||
| 2038 | [0,0,1,-349536,79530363],\ | ||
| 2039 | [1,-1,1,-54320,4886939],\ | ||
| 2040 | [0,0,1,-2676,202923],\ | ||
| 2041 | [0,0,1,0,2639000],\ | ||
| 2042 | [1,-1,0,-124416,1720009728],\ | ||
| 2043 | [1,-1,1,3766,1573769],\ | ||
| 2044 | [0,0,0,-3558225,2583439297],\ | ||
| 2045 | [1,0,1,-1350043,607824806],\ | ||
| 2046 | [1,-1,1,-23924,1461719],\ | ||
| 2047 | [0,0,1,0,7310],\ | ||
| 2048 | [0,0,0,51720,3375097],\ | ||
| 2049 | [1,-1,1,-1337,199361],\ | ||
| 2050 | [1,-1,1,-394754,17314743809],\ | ||
| 2051 | [1,-1,1,769,65279],\ | ||
| 2052 | [0,0,0,-8976,327652],\ | ||
| 2053 | [1,-1,0,-13259457,18587209293],\ | ||
| 2054 | [1,-1,1,-30143210,63706497833],\ | ||
| 2055 | [0,0,1,-12198,1106028],\ | ||
| 2056 | [1,-1,1,-68180,-8926153],\ | ||
| 2057 | [1,0,0,-113021,-3741399],\ | ||
| 2058 | [0,0,0,-283080,43758052],\ | ||
| 2059 | [1,-1,0,-56016,8146116],\ | ||
| 2060 | [0,0,1,-158088,24254118],\ | ||
| 2061 | [0,0,1,-4188180,3299022702],\ | ||
| 2062 | [1,0,1,-8796390,18868376632],\ | ||
| 2063 | [0,0,1,-123096,16624404],\ | ||
| 2064 | [0,1,1,-746335,-248421986],\ | ||
| 2065 | [0,0,1,-67980,1441233],\ | ||
| 2066 | [1,-1,1,-5849852,5447309879],\ | ||
| 2067 | [1,-1,1,-656903525,6639515178653],\ | ||
| 2068 | [1,-1,0,-1635,38861],\ | ||
| 2069 | [1,0,1,-13054,742206],\ | ||
| 2070 | [1,-1,1,-173207,-27672569],\ | ||
| 2071 | [1,-1,1,-206609,8115329],\ | ||
| 2072 | [1,-1,1,36551650,35776521389],\ | ||
| 2073 | [0,0,1,1536,63225],\ | ||
| 2074 | [1,-1,1,-18879161,31557417689],\ | ||
| 2075 | [1,-1,1,1483,21709],\ | ||
| 2076 | [1,-1,0,-14283,-915813],\ | ||
| 2077 | [0,0,0,-1328808,-665213852],\ | ||
| 2078 | [1,-1,1,-163571,31844819],\ | ||
| 2079 | [0,1,1,445,12209],\ | ||
| 2080 | [1,0,1,-830,-56240],\ | ||
| 2081 | [1,0,0,-3726,132956],\ | ||
| 2082 | [1,0,1,-30966,2094744],\ | ||
| 2083 | [1,0,0,-2987790,1982212100],\ | ||
| 2084 | [1,-1,0,-67755,6820101],\ | ||
| 2085 | [0,0,0,77236089,165705813146302],\ | ||
| 2086 | [0,1,0,-862,-19591],\ | ||
| 2087 | [0,1,0,-6662,207441],\ | ||
| 2088 | [1,0,0,-3475,78625],\ | ||
| 2089 | [1,-1,0,-12906,-1079784],\ | ||
| 2090 | [1,-1,1,14203,-1280131],\ | ||
| 2091 | [1,0,1,-29703,1976506],\ | ||
| 2092 | [0,1,1,113,755],\ | ||
| 2093 | [1,0,0,-7072,228416],\ | ||
| 2094 | [0,1,1,1635,-8881],\ | ||
| 2095 | [1,-1,1,8392,-505069],\ | ||
| 2096 | [1,0,0,197,1361],\ | ||
| 2097 | [0,1,1,-319925,69540229],\ | ||
| 2098 | [1,0,1,106697,7454506],\ | ||
| 2099 | [1,-1,1,2041,43967],\ | ||
| 2100 | [1,0,1,-2720,74350],\ | ||
| 2101 | [1,0,1,1702,-13822],\ | ||
| 2102 | [1,0,1,-483,-10382],\ | ||
| 2103 | [1,-1,1,12445,566947],\ | ||
| 2104 | [1,-1,0,-13617,953541],\ | ||
| 2105 | [1,-1,0,-80052,8737680],\ | ||
| 2106 | [1,-1,1,2332,-43513],\ | ||
| 2107 | [1,-1,1,-14870,166181],\ | ||
| 2108 | [1,-1,1,-344,2627],\ | ||
| 2109 | [1,-1,0,-762,8270],\ | ||
| 2110 | [0,0,0,-8664,572836],\ | ||
| 2111 | [1,0,1,-26976,1702698],\ | ||
| 2112 | [0,0,1,-293250,61125156],\ | ||
| 2113 | [0,1,0,116,3364],\ | ||
| 2114 | [1,-1,0,-175604805,895723551045],\ | ||
| 2115 | [1,0,1,-12334,1318052],\ | ||
| 2116 | [1,-1,0,-14625,745011],\ | ||
| 2117 | [0,1,0,-3278277,2283541316],\ | ||
| 2118 | [0,0,1,-40435500,98967440781],\ | ||
| 2119 | [1,-1,0,192,-318],\ | ||
| 2120 | [0,0,1,-3409146030,76615478867448],\ | ||
| 2121 | [1,0,0,753906,1057855492],\ | ||
| 2122 | [1,0,1,-10005,387472],\ | ||
| 2123 | [1,0,0,1840,-198400],\ | ||
| 2124 | [1,0,1,-7779,277152],\ | ||
| 2125 | [0,0,0,0,841],\ | ||
| 2126 | [1,0,0,-741134,245680132],\ | ||
| 2127 | [1,0,1,-31585,2115820],\ | ||
| 2128 | [1,-1,0,3519,-49869],\ | ||
| 2129 | [1,0,1,-304440,-63819258],\ | ||
| 2130 | [0,1,0,-2141,287295],\ | ||
| 2131 | [1,-1,0,42834,1148948],\ | ||
| 2132 | [1,-1,1,-103655,-10860641],\ | ||
| 2133 | [1,-1,1,-27785,9631369],\ | ||
| 2134 | [0,1,1,-6381,222581],\ | ||
| 2135 | [1,0,1,-39952,3070278],\ | ||
| 2136 | [1,-1,1,-832136,295111883],\ | ||
| 2137 | [1,-1,0,-1188099,498753405],\ | ||
| 2138 | [0,1,1,225,12656],\ | ||
| 2139 | [1,0,1,-99842,12160288],\ | ||
| 2140 | [1,-1,0,-3882696,2945719268],\ | ||
| 2141 | [1,0,1,-6738,314788],\ | ||
| 2142 | [0,0,1,-6078,1035279],\ | ||
| 2143 | [0,1,1,-225,12656],\ | ||
| 2144 | [1,0,1,-736,-4244],\ | ||
| 2145 | [1,0,0,-5611,-275959],\ | ||
| 2146 | [1,-1,0,-85227,9597995],\ | ||
| 2147 | [0,0,0,58875,1538125],\ | ||
| 2148 | [0,0,0,-744783,247395382],\ | ||
| 2149 | [1,-1,1,-9515,-351469],\ | ||
| 2150 | [1,-1,0,-3838038,2893037588],\ | ||
| 2151 | [1,-1,1,-70970,7099769],\ | ||
| 2152 | [0,1,0,-116,3364],\ | ||
| 2153 | [1,0,1,186323,61513768],\ | ||
| 2154 | [1,-1,1,1735,30809],\ | ||
| 2155 | [1,-1,0,-9653940,11547707760],\ | ||
| 2156 | [1,0,1,-1562,23618],\ | ||
| 2157 | [1,0,1,-54097449,-153218795828],\ | ||
| 2158 | [1,-1,0,-15339,621573],\ | ||
| 2159 | [1,-1,1,43540036,113269842559],\ | ||
| 2160 | [1,0,0,-1198325,496430625],\ | ||
| 2161 | [1,0,1,-3743,134056],\ | ||
| 2162 | [1,-1,0,-215271,38497653],\ | ||
| 2163 | [1,-1,0,-1887,50733],\ | ||
| 2164 | [1,-1,0,-38997,7132725],\ | ||
| 2165 | [1,0,0,-316,2640],\ | ||
| 2166 | [0,1,0,-1332,18404],\ | ||
| 2167 | [1,0,0,-33013,2306017],\ | ||
| 2168 | [0,0,0,-112047,-2113514],\ | ||
| 2169 | [1,-1,1,-563864,163164827],\ | ||
| 2170 | [1,-1,0,-9222,343044],\ | ||
| 2171 | [1,-1,1,-3080,51275],\ | ||
| 2172 | [1,0,1,2231,-61004],\ | ||
| 2173 | [1,0,0,-530013,-188899983],\ | ||
| 2174 | [0,0,1,-396,909],\ | ||
| 2175 | [0,1,1,-939583,350237692],\ | ||
| 2176 | [0,1,1,193,9312],\ | ||
| 2177 | [1,-1,1,-18542,-399491],\ | ||
| 2178 | [1,0,0,-16899,5861177],\ | ||
| 2179 | [1,-1,0,1209,13581],\ | ||
| 2180 | [0,1,0,-22332,1276164],\ | ||
| 2181 | [1,0,0,-1859,-16959],\ | ||
| 2182 | [1,0,0,-110520495,139122574137],\ | ||
| 2183 | [1,0,1,-10001,384292],\ | ||
| 2184 | [1,0,1,261,866],\ | ||
| 2185 | [0,1,0,-1661,-12481],\ | ||
| 2186 | [1,0,1,4531,410176],\ | ||
| 2187 | [1,0,0,-48143516,128571038800],\ | ||
| 2188 | [0,1,1,-106793,13619375],\ | ||
| 2189 | [0,1,1,-119,929],\ | ||
| 2190 | [1,-1,0,-11338542,14667774516],\ | ||
| 2191 | [1,0,1,-1434,21436],\ | ||
| 2192 | [0,0,1,-2034,35307],\ | ||
| 2193 | [1,0,0,-16433,987049],\ | ||
| 2194 | [1,0,1,-831803,291928006],\ | ||
| 2195 | [0,0,0,-41799,48594814],\ | ||
| 2196 | [1,-1,1,-16250180,25217897447],\ | ||
| 2197 | [0,0,1,-540,8903],\ | ||
| 2198 | [1,0,0,-206,42436],\ | ||
| 2199 | [1,0,1,-450238,127431406],\ | ||
| 2200 | [0,1,1,-455,13109],\ | ||
| 2201 | [0,0,0,-6181164,5914978641],\ | ||
| 2202 | [0,0,1,6072,1015029],\ | ||
| 2203 | [0,0,1,-14760,-257956],\ | ||
| 2204 | [1,0,0,3617,51545],\ | ||
| 2205 | [1,0,0,-488,-22272],\ | ||
| 2206 | [1,0,1,545741,83082446],\ | ||
| 2207 | [1,0,0,-5004,142992],\ | ||
| 2208 | [1,0,0,-547038,163825092],\ | ||
| 2209 | [0,0,1,510,6453],\ | ||
| 2210 | [0,1,1,-20549,1126955],\ | ||
| 2211 | [1,-1,1,-605,6629],\ | ||
| 2212 | [0,0,0,-1557,23581],\ | ||
| 2213 | [1,-1,0,-850842,302578740],\ | ||
| 2214 | [0,1,1,-70515,7227056],\ | ||
| 2215 | [1,-1,0,51507,-2041983],\ | ||
| 2216 | [1,-1,1,-482168,-181553669],\ | ||
| 2217 | [1,-1,0,453,813],\ | ||
| 2218 | [1,0,1,-362951,84132298],\ | ||
| 2219 | [1,-1,1,-14717,-2899259],\ | ||
| 2220 | [1,-1,0,-744,62000],\ | ||
| 2221 | [0,0,0,-423660,106656721],\ | ||
| 2222 | [1,-1,0,971535,67856925],\ | ||
| 2223 | [0,0,1,-82614,9147087],\ | ||
| 2224 | [1,-1,1,-1253,23837],\ | ||
| 2225 | [0,1,0,-964,4644],\ | ||
| 2226 | [1,-1,1,-140873756,644446869599],\ | ||
| 2227 | [0,0,0,-6360,-5784764],\ | ||
| 2228 | [1,-1,1,2581339,4216129373],\ | ||
| 2229 | [1,0,0,-21285,-555903],\ | ||
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| 9389 | [1,0,1,-672781938,6564320785156]] | ||
