bunch_of_curves.gp (38893B)
1 2 \\ Elliptic curves downloaded from the LMFDB downloaded on 31 January 2019. 3 \\ Below is a list called data. Each entry has the form: 4 \\ [a1,a2,a3,a4,a6] (Weierstrass Coefficients) 5 6 \\~2000 curves with rank 1 and conductor <1000 7 8 data = [\ 9 [0,0,1,-1,0],\ 10 [0,1,1,0,0],\ 11 [1,-1,1,0,0],\ 12 [0,-1,1,-2,2],\ 13 [1,-1,0,-1,1],\ 14 [1,0,0,-2,1],\ 15 [1,0,0,-1,0],\ 16 [1,0,0,4,1],\ 17 [0,0,1,2,0],\ 18 [1,1,1,-2,0],\ 19 [1,0,1,-12,-16],\ 20 [1,0,1,-2,0],\ 21 [1,1,1,1,0],\ 22 [0,0,0,-4,4],\ 23 [1,1,1,-1,0],\ 24 [0,0,1,1,0],\ 25 [0,1,1,-117,-1245],\ 26 [0,1,1,-7,5],\ 27 [0,1,1,13,42],\ 28 [0,0,0,-1,1],\ 29 [1,-1,1,-17,30],\ 30 [1,-1,1,-2,0],\ 31 [0,1,1,-1,-1],\ 32 [1,1,0,-2,0],\ 33 [1,1,0,8,10],\ 34 [1,1,0,-7,5],\ 35 [0,1,0,-40,84],\ 36 [0,1,0,0,4],\ 37 [1,-1,1,-626,6180],\ 38 [1,-1,1,-176,-768],\ 39 [1,-1,1,-41,96],\ 40 [1,-1,1,4,6],\ 41 [1,1,0,1,1],\ 42 [0,-1,1,-887,-10143],\ 43 [0,-1,1,-7,10],\ 44 [1,0,1,2,0],\ 45 [0,1,1,-10,10],\ 46 [0,1,1,20,-890],\ 47 [0,-1,1,1,-1],\ 48 [0,1,0,-2,1],\ 49 [0,1,0,18,-11],\ 50 [0,1,0,-9,7],\ 51 [0,1,0,1,1],\ 52 [0,-1,1,-19,39],\ 53 [1,0,1,-208,-1122],\ 54 [1,0,1,-33,68],\ 55 [1,0,1,-13,156],\ 56 [1,0,1,112,-4194],\ 57 [0,-1,1,1,0],\ 58 [0,0,1,-3,4],\ 59 [0,1,0,-4,0],\ 60 [0,1,0,16,16],\ 61 [1,1,0,-31,55],\ 62 [1,1,0,-1,1],\ 63 [0,1,1,-12,2],\ 64 [0,-1,1,-1,0],\ 65 [1,1,0,-1,-1],\ 66 [1,-1,1,-12,15],\ 67 [0,-1,1,-1,-2],\ 68 [1,-1,1,-3,2],\ 69 [1,-1,1,2,6],\ 70 [0,-1,0,-5,1],\ 71 [0,1,0,-1,3],\ 72 [0,0,1,-3,2],\ 73 [0,0,1,-534,4752],\ 74 [0,0,1,6,27],\ 75 [1,-1,0,-469,4029],\ 76 [1,-1,0,-29,69],\ 77 [0,-1,1,-840,-9114],\ 78 [0,-1,1,10,6],\ 79 [0,-1,1,-1,1],\ 80 [0,-1,0,-20,-24],\ 81 [0,-1,0,-5,6],\ 82 [1,1,0,-3,1],\ 83 [1,-1,1,-9,9],\ 84 [0,1,0,-6,4],\ 85 [0,1,0,-1,15],\ 86 [1,-1,0,-6,8],\ 87 [1,-1,0,39,-19],\ 88 [0,0,1,-2,1],\ 89 [1,1,0,-6,4],\ 90 [1,0,1,-8,6],\ 91 [1,0,1,12,38],\ 92 [0,0,1,-6924,221760],\ 93 [0,0,1,-84,315],\ 94 [0,0,1,6,0],\ 95 [0,1,0,-13,15],\ 96 [0,1,0,67,79],\ 97 [0,-1,1,-148,748],\ 98 [0,-1,1,2,-2],\ 99 [0,-1,1,-3283,-74657],\ 100 [0,-1,1,-33,93],\ 101 [0,-1,1,217,-282],\ 102 [0,-1,0,-77,289],\ 103 [0,-1,0,3,1],\ 104 [0,-1,0,0,1],\ 105 [0,-1,0,-4,5],\ 106 [0,1,1,-156,700],\ 107 [0,-1,1,-5,6],\ 108 [1,0,1,-4,-3],\ 109 [1,0,1,1,-9],\ 110 [0,0,1,-3,0],\ 111 [0,0,1,-3834,-91375],\ 112 [0,0,1,-54,-88],\ 113 [0,0,1,-24,45],\ 114 [1,1,0,2,2],\ 115 [1,-1,1,-48,147],\ 116 [0,-1,0,-129,609],\ 117 [0,-1,0,-9,9],\ 118 [0,-1,0,-4,-2],\ 119 [0,-1,0,31,33],\ 120 [0,-1,0,-142,701],\ 121 [0,-1,0,-2,1],\ 122 [0,0,1,-5,4],\ 123 [1,-1,0,-3168,69430],\ 124 [1,-1,0,-198,1120],\ 125 [1,-1,0,-108,2074],\ 126 [1,-1,0,-18,4],\ 127 [0,1,0,-28,48],\ 128 [0,1,0,-3,-2],\ 129 [0,-1,1,2,0],\ 130 [1,0,0,-1,2],\ 131 [1,1,0,-794,8289],\ 132 [1,1,1,0,-2],\ 133 [1,-1,1,-232,-1286],\ 134 [1,-1,1,-27,26],\ 135 [1,-1,1,-22,44],\ 136 [1,-1,1,98,126],\ 137 [1,-1,1,-140,668],\ 138 [1,-1,1,-5,20],\ 139 [0,-1,0,-7352,245104],\ 140 [0,-1,0,-72,496],\ 141 [0,-1,0,8,-16],\ 142 [0,-1,0,-16,32],\ 143 [0,1,1,-27,55],\ 144 [0,1,1,193,-308],\ 145 [1,1,0,-373,2623],\ 146 [1,1,0,-23,33],\ 147 [1,1,0,-3,-3],\ 148 [1,1,0,7,147],\ 149 [0,-1,0,-4,8],\ 150 [1,0,1,1,0],\ 151 [1,0,1,-193,1012],\ 152 [1,0,0,-12,16],\ 153 [0,0,1,-8,-12],\ 154 [0,0,0,-12,20],\ 155 [1,0,0,-2,4],\ 156 [1,0,0,18,-104],\ 157 [0,-1,1,-6,8],\ 158 [0,1,1,-27,-85],\ 159 [0,1,1,3,2],\ 160 [1,1,0,-1297,-18530],\ 161 [1,1,0,-82,-305],\ 162 [0,1,0,-7100,-232652],\ 163 [0,1,0,-445,-3720],\ 164 [0,1,0,-100,-252],\ 165 [0,1,0,-45,100],\ 166 [0,1,0,-8,-8],\ 167 [0,1,0,2,0],\ 168 [0,0,1,-75,256],\ 169 [0,0,1,375,-12344],\ 170 [0,0,1,0,-34],\ 171 [0,0,1,0,1],\ 172 [1,0,0,-45,-119],\ 173 [1,0,0,-5,1],\ 174 [0,-1,0,3,9],\ 175 [1,0,0,-2,-1],\ 176 [0,-1,0,8,-4],\ 177 [1,-1,0,-63,209],\ 178 [1,-1,0,-3,5],\ 179 [1,1,1,-5,0],\ 180 [0,-1,0,-1,2],\ 181 [1,-1,0,-8,6],\ 182 [1,-1,0,2,0],\ 183 [1,0,0,-700,7056],\ 184 [1,0,0,-60,16],\ 185 [0,-1,0,-216,1296],\ 186 [0,-1,0,-136,-560],\ 187 [0,-1,0,-16,16],\ 188 [0,-1,0,4,0],\ 189 [1,0,0,-52,144],\ 190 [1,0,0,3,1],\ 191 [0,0,1,0,-1],\ 192 [0,0,1,0,20],\ 193 [0,0,0,1,6],\ 194 [0,0,1,-7,12],\ 195 [0,-1,1,-6435,210006],\ 196 [0,-1,1,-65,-204],\ 197 [0,-1,1,425,433],\ 198 [1,1,0,-66,180],\ 199 [1,1,0,-26,444],\ 200 [0,1,0,0,1],\ 201 [0,0,0,1,-1],\ 202 [1,1,1,-55,134],\ 203 [1,1,0,2,1],\ 204 [0,0,0,-327,2270],\ 205 [0,0,0,-12,65],\ 206 [1,-1,0,-5,-3],\ 207 [1,0,0,-24432,-1471934],\ 208 [1,0,0,-302,-2036],\ 209 [1,0,0,-22,36],\ 210 [0,1,0,-13,-21],\ 211 [0,1,0,-3,1],\ 212 [0,0,0,-2,0],\ 213 [0,0,0,8,0],\ 214 [1,1,0,3,-3],\ 215 [1,0,1,-15,22],\ 216 [1,-1,0,-2,2],\ 217 [1,0,0,1,25],\ 218 [1,-1,1,-138,656],\ 219 [1,-1,1,-133,702],\ 220 [0,0,1,-2,-1],\ 221 [0,1,0,-48,-140],\ 222 [0,1,0,-8,4],\ 223 [0,0,0,-1451,21274],\ 224 [0,0,0,-91,330],\ 225 [0,0,0,-11,-6],\ 226 [0,0,0,-11,890],\ 227 [0,-1,1,-26,68],\ 228 [1,-1,0,-2846,59156],\ 229 [1,-1,0,-2,0],\ 230 [1,-1,0,8,-6],\ 231 [1,0,0,-7,9],\ 232 [1,-1,1,-1480,22272],\ 233 [1,-1,1,-730,-7228],\ 234 [1,-1,1,-105,272],\ 235 [1,-1,1,20,22],\ 236 [1,0,1,0,-1],\ 237 [1,0,0,-1,9],\ 238 [0,0,0,-412,3316],\ 239 [0,-1,0,-1,5],\ 240 [1,1,1,-255,1461],\ 241 [1,1,1,-15,21],\ 242 [1,0,0,-76,-19],\ 243 [1,0,0,19,0],\ 244 [1,1,0,-93,-378],\ 245 [1,1,0,2,-17],\ 246 [1,1,0,-33,61],\ 247 [1,1,1,13,177],\ 248 [0,0,0,-12,0],\ 249 [0,0,0,3,0],\ 250 [0,0,0,-291,-1910],\ 251 [0,0,0,-156,736],\ 252 [0,0,0,-21,-20],\ 253 [0,0,0,69,-146],\ 254 [1,-1,1,-26209,-1626560],\ 255 [1,-1,1,-1644,-24922],\ 256 [1,-1,1,-199,-68272],\ 257 [1,-1,1,-199,510],\ 258 [1,-1,0,-70,-204],\ 259 [1,-1,0,10,-700],\ 260 [1,1,1,-18,-36],\ 261 [1,1,1,-3,0],\ 262 [1,0,1,-138,592],\ 263 [1,0,1,2,32],\ 264 [0,-1,0,-9,13],\ 265 [0,-1,0,-33,85],\ 266 [0,0,1,-81,290],\ 267 [1,-1,1,1,0],\ 268 [1,-1,0,12,-19],\ 269 [1,-1,0,1,-1],\ 270 [1,0,0,-19,33],\ 271 [0,-1,0,-13,22],\ 272 [0,-1,0,12,72],\ 273 [1,-1,1,0,3],\ 274 [1,1,1,-230,1251],\ 275 [1,1,1,1650,-27389],\ 276 [0,1,1,-6,2],\ 277 [0,1,1,-197,-208],\ 278 [0,1,0,-21,31],\ 279 [0,-1,0,-8,16],\ 280 [0,1,0,-1120,15604],\ 281 [0,1,0,0,-76],\ 282 [1,-1,0,-1017,8883],\ 283 [1,-1,0,-927,11097],\ 284 [1,-1,0,-387,-2835],\ 285 [1,-1,0,-27,-27],\ 286 [0,-1,0,-21,49],\ 287 [1,0,0,-6,9],\ 288 [1,0,0,-2046,15376],\ 289 [1,0,0,-1706,26980],\ 290 [1,0,0,-106,420],\ 291 [1,0,0,454,1876],\ 292 [0,-1,0,-3,0],\ 293 [0,-1,0,12,-12],\ 294 [0,1,0,-60,144],\ 295 [0,1,0,5,14],\ 296 [1,-1,0,13,-11],\ 297 [1,-1,1,-1013,12656],\ 298 [1,-1,1,-68,182],\ 299 [1,-1,1,-23,-34],\ 300 [1,-1,1,157,992],\ 301 [0,0,0,-7,-2],\ 302 [1,1,0,7,-9],\ 303 [1,1,1,-12,45],\ 304 [0,1,0,-165,763],\ 305 [0,1,0,-145,975],\ 306 [0,1,0,-5,-5],\ 307 [0,1,0,15,-17],\ 308 [0,0,0,-428,-3408],\ 309 [0,0,0,-28,-48],\ 310 [0,0,0,-8,8],\ 311 [0,0,0,52,-272],\ 312 [1,-1,0,-238,1470],\ 313 [1,-1,0,-8,44],\ 314 [1,0,0,-174,868],\ 315 [1,0,0,-14,4],\ 316 [0,0,0,-189,-999],\ 317 [0,0,0,-9,9],\ 318 [0,-1,1,-53,-132],\ 319 [0,-1,1,-3,3],\ 320 [0,1,1,-1333,-19131],\ 321 [0,1,1,-83,244],\ 322 [1,-1,0,-80,-256],\ 323 [1,0,0,-6,4],\ 324 [1,0,0,4,-3],\ 325 [0,0,0,-11,-10],\ 326 [0,0,0,29,-66],\ 327 [1,1,0,-1602,24024],\ 328 [1,1,0,-102,324],\ 329 [1,1,0,-22,-44],\ 330 [1,1,0,118,1776],\ 331 [1,0,0,-5,4],\ 332 [1,-1,1,-14,-14],\ 333 [1,-1,1,1,-2],\ 334 [0,0,1,-16860,842625],\ 335 [0,0,1,-210,1134],\ 336 [0,0,1,-30,-63],\ 337 [1,-1,0,-123,494],\ 338 [1,-1,0,12,35],\ 339 [0,0,1,-2,2],\ 340 [0,-1,0,-12544,544960],\ 341 [0,-1,0,-784,8704],\ 342 [0,-1,0,-624,-5760],\ 343 [0,-1,0,-544,13888],\ 344 [0,-1,0,-64,64],\ 345 [0,-1,0,16,0],\ 346 [1,-1,0,-35944,-2868878],\ 347 [1,-1,0,-454,5812],\ 348 [1,-1,0,-389,-2859],\ 349 [1,-1,0,1,1],\ 350 [1,1,1,-322,2127],\ 351 [1,1,1,3,-5],\ 352 [0,1,1,-2,2],\ 353 [0,1,1,-441,3422],\ 354 [0,0,0,-28,57],\ 355 [0,0,0,-23,78],\ 356 [1,-1,0,-33,-65],\ 357 [1,-1,0,-3,1],\ 358 [1,-1,0,-3852,92988],\ 359 [1,-1,0,-3762,97470],\ 360 [1,-1,0,-72,0],\ 361 [1,-1,0,288,-216],\ 362 [0,0,0,4,4],\ 363 [0,1,1,-100,406],\ 364 [0,1,1,-1,1],\ 365 [1,1,1,-7,-3],\ 366 [0,1,1,2,0],\ 367 [0,-1,0,2,1],\ 368 [0,1,0,-50,129],\ 369 [1,1,0,-45,-185],\ 370 [1,1,0,5,5],\ 371 [1,-1,1,-180,1047],\ 372 [0,0,0,8,112],\ 373 [0,-1,0,3,-11],\ 374 [0,-1,0,-45,133],\ 375 [0,1,0,3,11],\ 376 [1,1,0,-715,7069],\ 377 [1,1,1,-5,11],\ 378 [0,-1,0,4,-8],\ 379 [0,1,1,-42,110],\ 380 [0,-1,1,-5,-16],\ 381 [1,-1,1,-7,8],\ 382 [1,0,1,-23,39],\ 383 [0,0,0,-963,11502],\ 384 [0,0,0,-63,162],\ 385 [0,0,0,-18,-27],\ 386 [0,0,0,117,918],\ 387 [0,0,1,-13718,-619025],\ 388 [0,0,1,-38,90],\ 389 [1,1,0,-4,2],\ 390 [1,1,1,6,7],\ 391 [0,1,0,-5,7],\ 392 [0,0,0,-584,5444],\ 393 [1,0,1,-5,20],\ 394 [1,0,1,40,-538],\ 395 [1,1,1,-32,65],\ 396 [0,0,0,-55,157],\ 397 [0,-1,0,-18,43],\ 398 [0,-1,0,2,-1],\ 399 [0,0,0,-35,-62],\ 400 [0,0,0,5,-6],\ 401 [0,1,0,0,-1],\ 402 [0,0,1,6,13],\ 403 [1,-1,0,-395,-2925],\ 404 [1,-1,0,-25,-39],\ 405 [1,-1,0,-5,5],\ 406 [1,-1,0,25,-209],\ 407 [1,1,0,-35,-98],\ 408 [0,-1,0,-6,9],\ 409 [0,1,0,-2,9],\ 410 [0,1,1,-2,-2],\ 411 [1,-1,0,-32,0],\ 412 [1,-1,0,128,-96],\ 413 [1,-1,0,-158,-725],\ 414 [1,-1,0,-13,0],\ 415 [1,-1,0,-8,11],\ 416 [1,-1,0,52,-39],\ 417 [1,-1,0,-141,681],\ 418 [1,-1,0,-96,1088],\ 419 [1,-1,0,849,-25939],\ 420 [1,-1,0,0,4],\ 421 [0,0,0,-103,-402],\ 422 [0,0,0,-8,-3],\ 423 [0,1,1,-11,-16],\ 424 [0,-1,0,-3,3],\ 425 [0,-1,0,7,9],\ 426 [0,1,0,-35,69],\ 427 [0,1,0,-25,119],\ 428 [1,0,0,-55,150],\ 429 [1,0,0,0,7],\ 430 [1,-1,1,-10267,402966],\ 431 [1,-1,1,-697,5294],\ 432 [1,-1,1,-642,6416],\ 433 [1,-1,1,-37,124],\ 434 [1,-1,1,-2,2],\ 435 [1,-1,0,-15,-46],\ 436 [1,1,0,-483,-4293],\ 437 [1,1,0,-33,-63],\ 438 [1,1,0,-13,13],\ 439 [1,1,0,97,-297],\ 440 [0,0,0,-7,7],\ 441 [0,-1,0,-16,29],\ 442 [0,0,0,-14651,-682570],\ 443 [0,0,0,-2891,47334],\ 444 [0,0,0,-931,-10290],\ 445 [0,0,0,49,-686],\ 446 [0,0,0,-111,214],\ 447 [0,0,0,24,25],\ 448 [1,1,1,-48,90],\ 449 [1,1,1,-13,-22],\ 450 [1,1,0,-1925,31458],\ 451 [1,1,0,-210,-441],\ 452 [0,0,0,5,10],\ 453 [0,-1,0,-2008,35312],\ 454 [0,-1,0,-1208,-19088],\ 455 [0,-1,0,-8,112],\ 456 [0,-1,0,8792,140912],\ 457 [0,0,0,-2675,53250],\ 458 [0,0,0,-175,750],\ 459 [0,0,0,-50,-125],\ 460 [0,0,0,325,4250],\ 461 [1,1,0,-2,-12],\ 462 [1,0,1,-10255,-438718],\ 463 [1,0,1,-145,692],\ 464 [1,0,1,800,1070],\ 465 [0,0,0,-8,4],\ 466 [0,0,1,-3,-2],\ 467 [1,-1,1,-2027,35776],\ 468 [1,-1,1,-2,-26],\ 469 [0,0,1,-108,-412],\ 470 [0,0,1,-18,29],\ 471 [1,-1,0,-225,-1250],\ 472 [1,-1,0,0,1],\ 473 [1,-1,0,-4942,134964],\ 474 [1,-1,0,-302,2260],\ 475 [1,0,1,-15,210],\ 476 [1,0,1,130,-5648],\ 477 [1,1,1,-102,355],\ 478 [0,1,0,-17,51],\ 479 [1,-1,0,-214,1260],\ 480 [1,-1,0,-14,20],\ 481 [1,0,0,-16,0],\ 482 [1,0,0,64,16],\ 483 [1,-1,0,-2223,-39785],\ 484 [1,-1,0,-963,11371],\ 485 [1,-1,0,-153,-455],\ 486 [1,-1,0,27,-59],\ 487 [1,-1,1,-1532,23455],\ 488 [1,-1,1,-92,415],\ 489 [0,-1,0,0,4],\ 490 [1,1,1,66,-5],\ 491 [1,-1,0,1,-3],\ 492 [0,0,1,-9,10],\ 493 [0,0,1,-237,1404],\ 494 [0,0,1,-12,4],\ 495 [1,-1,0,-6768,-212625],\ 496 [1,-1,0,-558,-891],\ 497 [1,-1,0,-423,-3240],\ 498 [1,-1,0,-18,-81],\ 499 [1,0,0,-213,-1208],\ 500 [1,0,0,-88,-2583],\ 501 [1,0,0,-3,2],\ 502 [1,1,0,-75,250],\ 503 [1,-1,0,-2267,-40984],\ 504 [1,-1,0,-142,-609],\ 505 [1,-1,0,-17,-1734],\ 506 [1,-1,0,-17,16],\ 507 [1,1,0,-4606,118420],\ 508 [1,1,0,-286,1780],\ 509 [1,0,0,-28,-59],\ 510 [1,0,1,-8,7],\ 511 [0,-1,0,3,-2],\ 512 [1,1,1,-13,8],\ 513 [1,1,1,2,2],\ 514 [1,0,0,-6864,218313],\ 515 [1,0,0,-3009,-61770],\ 516 [1,0,0,-474,2619],\ 517 [1,0,0,-429,3384],\ 518 [1,0,0,-24,63],\ 519 [1,0,0,1341,18228],\ 520 [1,-1,0,-20,40],\ 521 [1,-1,0,16,-10],\ 522 [1,0,0,-5626,-162894],\ 523 [1,0,0,-36,-440],\ 524 [1,0,0,4,16],\ 525 [1,0,0,-1415,20617],\ 526 [1,0,0,0,-1],\ 527 [0,0,0,-459,3834],\ 528 [0,0,0,-219,-1654],\ 529 [0,0,0,21,26],\ 530 [0,0,0,-3,34],\ 531 [0,0,0,0,-4],\ 532 [0,0,0,0,108],\ 533 [1,-1,0,-47,133],\ 534 [1,-1,0,-7,-3],\ 535 [1,0,0,-139,465],\ 536 [1,0,0,21,49],\ 537 [0,-1,1,19,100],\ 538 [1,1,0,-65,-231],\ 539 [1,1,0,-5,-3],\ 540 [1,0,1,-98,362],\ 541 [1,0,1,-8,2],\ 542 [1,0,1,-32681,1883180],\ 543 [1,0,1,-31106,2108972],\ 544 [1,0,1,-9641,-337876],\ 545 [1,0,1,-1946,32780],\ 546 [1,1,1,-1559,-24343],\ 547 [1,1,1,-99,-399],\ 548 [1,1,1,-19,17],\ 549 [1,1,1,81,-1479],\ 550 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[0,0,0,-10920,439220],\ 1741 [0,0,0,-120,740],\ 1742 [0,-1,1,-4,-2],\ 1743 [1,-1,1,-85,-220],\ 1744 [1,-1,1,180,-1492],\ 1745 [1,1,1,-29863,1910608],\ 1746 [1,1,1,-29598,1947602],\ 1747 [0,0,1,-1507,4209],\ 1748 [1,0,1,-2382,77312],\ 1749 [0,1,1,7,2],\ 1750 [0,0,0,-35,78],\ 1751 [0,0,0,5,246],\ 1752 [1,1,0,-18,23],\ 1753 [1,1,0,-13,42],\ 1754 [1,1,0,3395,-211907],\ 1755 [1,1,0,-16,-32],\ 1756 [1,0,1,-1970,18500],\ 1757 [1,0,1,-1715,27182],\ 1758 [1,0,1,-52716,-4662998],\ 1759 [1,0,1,-621,-7064],\ 1760 [1,0,1,54,64],\ 1761 [1,1,1,-21,-45],\ 1762 [1,0,0,-152,576],\ 1763 [0,0,1,-12,9],\ 1764 [1,0,1,-14669,-685008],\ 1765 [1,0,1,-949,-9984],\ 1766 [1,0,1,-304,456],\ 1767 [1,0,1,-234,1352],\ 1768 [1,-1,0,-29,-47],\ 1769 [1,-1,0,41,-285],\ 1770 [1,0,1,-59,-1154],\ 1771 [1,0,1,6,42],\ 1772 [1,-1,1,-33,81],\ 1773 [1,0,0,-5625,-151943],\ 1774 [1,0,0,-1145,12025],\ 1775 [1,1,1,-196,5829],\ 1776 [1,-1,1,-33898,2219177],\ 1777 [1,-1,1,37782,10304681],\ 1778 [0,-1,0,-57,-171],\ 1779 [0,-1,0,-1624,-24656],\ 1780 [0,-1,0,-104,-336],\ 1781 [0,-1,0,-24,48],\ 1782 [0,-1,0,136,-1872],\ 1783 [0,-1,0,-70245,7189389],\ 1784 [0,-1,0,315,2349],\ 1785 [0,1,0,3,-9],\ 1786 [0,1,0,-1528,22484],\ 1787 [0,1,0,-1368,27540],\ 1788 [1,-1,0,-692,-6832],\ 1789 [1,-1,0,-52,-48],\ 1790 [1,0,0,-255,900],\ 1791 [1,0,0,50,107],\ 1792 [1,1,0,-367,-2756],\ 1793 [1,1,0,-62,111],\ 1794 [1,1,0,-57,144],\ 1795 [1,1,0,163,966],\ 1796 [0,-1,0,-5,-2],\ 1797 [0,1,0,-157,-416],\ 1798 [0,1,0,-77,236],\ 1799 [1,-1,0,-231,-2179],\ 1800 [1,-1,0,24,48],\ 1801 [1,-1,0,-24990,1526804],\ 1802 [1,-1,0,0,-18],\ 1803 [1,-1,0,-27,99],\ 1804 [1,-1,0,3,-3],\ 1805 [1,-1,0,-771,-8875],\ 1806 [1,-1,1,-434,21169],\ 1807 [1,-1,1,3886,-555983],\ 1808 [1,-1,1,-86,357],\ 1809 [1,-1,1,-245,-2429],\ 1810 [1,-1,1,25,55],\ 1811 [0,0,0,-187,991],\ 1812 [0,-1,0,0,-23],\ 1813 [0,0,0,1468,-2844],\ 1814 [0,1,0,4,5],\ 1815 [0,1,1,-23,41],\ 1816 [0,1,1,157,-130],\ 1817 [0,-1,0,14,1057],\ 1818 [0,-1,0,14,-11],\ 1819 [0,1,0,-22,41],\ 1820 [0,1,0,-17242,875009],\ 1821 [0,1,0,59978,4520981],\ 1822 [0,-1,1,-46833,-3885432],\ 1823 [0,-1,1,-583,-5057],\ 1824 [0,-1,1,-83,318],\ 1825 [0,1,1,-133,519],\ 1826 [1,-1,0,-54,-243],\ 1827 [0,-1,0,-1,17],\ 1828 [0,1,0,-1,-17],\ 1829 [1,1,0,-6628,204952],\ 1830 [1,1,0,-428,2832],\ 1831 [1,1,0,-108,-432],\ 1832 [1,1,0,652,16008],\ 1833 [1,1,0,-47,99],\ 1834 [1,1,0,3,9],\ 1835 [1,1,0,-37442,2585844],\ 1836 [1,1,0,2238,181236],\ 1837 [1,0,1,-2013,-12344],\ 1838 [1,0,1,467,-1432],\ 1839 [1,1,1,-161,119],\ 1840 [1,1,1,39,39],\ 1841 [0,-1,1,-3,-1],\ 1842 [0,1,1,-399,-3184],\ 1843 [1,0,1,-3,0],\ 1844 [0,1,1,-1,-4],\ 1845 [0,0,0,-7491,249550],\ 1846 [0,0,0,-471,3850],\ 1847 [0,0,0,-66,-119],\ 1848 [0,0,0,69,12166],\ 1849 [0,0,0,-51,94],\ 1850 [0,0,0,9,10],\ 1851 [0,0,0,-30,29],\ 1852 [0,0,0,105,218],\ 1853 [0,0,0,-615,5866],\ 1854 [0,0,0,-30,133],\ 1855 [1,0,1,-11085,446696],\ 1856 [1,0,1,-365,13608],\ 1857 [1,0,1,-4,-2],\ 1858 [1,1,1,-56,-135],\ 1859 [0,1,1,4,14],\ 1860 [0,-1,1,-321,-9817],\ 1861 [1,0,1,-6,-5],\ 1862 [1,0,1,9,-23],\ 1863 [0,-1,0,-20,40],\ 1864 [0,1,0,-31516,-1956716],\ 1865 [0,1,0,-7076,226340],\ 1866 [1,0,0,-65,201],\ 1867 [1,0,0,146,37508],\ 1868 [0,1,0,-64,180],\ 1869 [0,1,0,8,-12],\ 1870 [0,-1,0,-9,-8],\ 1871 [0,-1,0,31,-68],\ 1872 [0,1,0,8,-44],\ 1873 [0,1,0,-276,1676],\ 1874 [0,1,0,4,-4],\ 1875 [0,1,0,-400,-3308],\ 1876 [0,1,0,1840,162452],\ 1877 [1,0,1,-261,-1680],\ 1878 [1,0,1,14,-8],\ 1879 [1,0,1,-1751,-31352],\ 1880 [1,0,1,-1,148],\ 1881 [1,1,1,-2138,-306969],\ 1882 [1,1,1,-388,2781],\ 1883 [1,1,1,237,11281],\ 1884 [1,-1,0,-81,783],\ 1885 [1,-1,0,9,-27],\ 1886 [1,-1,0,-221427,40159989],\ 1887 [1,-1,0,-2547,63477],\ 1888 [1,-1,0,18,202],\ 1889 [1,-1,0,-96,-640],\ 1890 [1,-1,1,1273,-3585],\ 1891 [1,-1,1,-11,27],\ 1892 [1,-1,1,-248,1563],\ 1893 [0,-1,0,-641,6465],\ 1894 [0,-1,0,-161,-639],\ 1895 [0,-1,0,-41,105],\ 1896 [0,-1,0,4,6],\ 1897 [0,-1,0,-12801,-553215],\ 1898 [0,-1,0,-801,-8415],\ 1899 [0,-1,0,-321,-18879],\ 1900 [0,-1,0,-81,81],\ 1901 [0,-1,0,-61,205],\ 1902 [0,-1,0,319,321],\ 1903 [0,-1,0,-225,-1215],\ 1904 [0,-1,0,-25,25],\ 1905 [0,-1,0,-20,42],\ 1906 [0,-1,0,95,97],\ 1907 [0,1,0,-1921,31775],\ 1908 [0,1,0,-321,-1665],\ 1909 [0,1,0,-121,455],\ 1910 [0,1,0,4,30],\ 1911 [0,1,0,-12801,553215],\ 1912 [0,1,0,-801,8415],\ 1913 [0,1,0,-321,18879],\ 1914 [0,1,0,-81,-81],\ 1915 [0,1,0,-61,-205],\ 1916 [0,1,0,319,-321],\ 1917 [0,1,0,-1985,-19617],\ 1918 [0,1,0,-905,9975],\ 1919 [0,1,0,-900,10098],\ 1920 [0,1,0,95,31775],\ 1921 [1,1,0,-72,-90],\ 1922 [1,1,0,18,0],\ 1923 [1,1,0,-3346,63700],\ 1924 [1,1,0,334,5556],\ 1925 [1,1,0,-250264,48082240],\ 1926 [1,1,0,-14744,836928],\ 1927 [1,0,1,-361,2564],\ 1928 [1,0,1,-1,116],\ 1929 [1,1,1,-79134,-8601153],\ 1930 [1,1,1,-17714,900047],\ 1931 [1,1,1,-5074,-128689],\ 1932 [1,1,1,-1154,12431],\ 1933 [1,1,1,126,1167],\ 1934 [1,1,1,6266,-609505],\ 1935 [0,0,0,-484,-5324],\ 1936 [0,0,0,-11,22],\ 1937 [0,1,0,15,-13],\ 1938 [0,0,0,0,-972],\ 1939 [0,0,0,0,36],\ 1940 [0,0,0,0,-243],\ 1941 [0,0,0,0,9],\ 1942 [0,1,1,-11373,-470630],\ 1943 [0,1,1,-253,441],\ 1944 [0,1,1,-203,1048],\ 1945 [1,-1,1,51,117],\ 1946 [1,-1,1,3,-3],\ 1947 [1,1,1,-91,297],\ 1948 [1,1,1,-5,3],\ 1949 [0,-1,1,-8,-82],\ 1950 [0,1,1,-4758,128144],\ 1951 [1,0,0,12,117],\ 1952 [0,-1,1,-83,3818],\ 1953 [0,1,1,-3,29],\ 1954 [1,1,0,-3250000,-2256492875],\ 1955 [1,1,0,-203125,-35321000],\ 1956 [1,1,0,-198250,-37090625],\ 1957 [1,1,0,-13000,-528125],\ 1958 [1,1,0,-2875,49000],\ 1959 [1,1,0,-2750,54375],\ 1960 [1,1,0,5250,284625],\ 1961 [1,1,0,15125,-2468750],\ 1962 [1,0,1,-46,-127],\ 1963 [0,0,0,1,-6],\ 1964 [1,0,1,-5,2],\ 1965 [1,1,1,-121,455],\ 1966 [1,0,0,-132,144],\ 1967 [1,1,0,-14646,-688345],\ 1968 [1,1,0,-14041,-747030],\ 1969 [0,-1,0,-39461,3030385],\ 1970 [0,-1,0,-261,8065],\ 1971 [0,1,0,19,-1],\ 1972 [1,-1,1,-74,262],\ 1973 [1,-1,0,36,81],\ 1974 [1,0,1,-22,40],\ 1975 [0,-1,0,-369,4293],\ 1976 [0,1,0,7,27],\ 1977 [0,1,1,-20,24],\ 1978 [1,1,0,-10407,-413003],\ 1979 [1,1,0,-276,1616],\ 1980 [1,1,0,44,5520],\ 1981 [1,0,0,3467,-83679],\ 1982 [1,-1,1,-1,17],\ 1983 [1,0,0,8,16],\ 1984 [1,0,0,-6909,79524],\ 1985 [1,0,0,1596,9783],\ 1986 [0,0,0,16,36],\ 1987 [0,0,0,-362249,165197113],\ 1988 [1,-1,0,-15,25],\ 1989 [1,-1,0,15,91],\ 1990 [1,-1,0,-34965,2525175],\ 1991 [1,-1,0,-10575,-415935],\ 1992 [1,-1,0,-2295,35721],\ 1993 [1,-1,0,-675,-6075],\ 1994 [1,-1,0,45,-459],\ 1995 [1,-1,0,4455,201771],\ 1996 [1,-1,1,-14423,-663069],\ 1997 [1,-1,1,-923,-9669],\ 1998 [1,-1,1,-203,987],\ 1999 [1,-1,1,1057,-46893],\ 2000 [1,-1,1,-96608,-11533373],\ 2001 [1,-1,1,-95528,-11804669],\ 2002 [1,-1,1,-1568,-4669],\ 2003 [1,-1,1,6112,-41533],\ 2004 [1,0,1,-1,4],\ 2005 [1,0,1,-1611,-39690],\ 2006 [1,0,1,164,922],\ 2007 [1,0,0,-52238,-4587140],\ 2008 [1,0,0,-52198,-4594524],\ 2009 [1,0,0,-3238,65508],\ 2010 [1,0,0,-678,-5660],\ 2011 [1,-1,1,-1516,23091],\ 2012 [1,-1,1,-96,371],\ 2013 [1,-1,1,-16,-13],\ 2014 [1,-1,1,44,1267],\ 2015 [0,1,1,-15,19],\ 2016 [0,1,1,85,64],\ 2017 [0,1,0,-12,36],\ 2018 [0,1,0,108,-876],\ 2019 [0,1,0,164,-8764],\ 2020 [0,-1,1,-18,36],\ 2021 [1,-1,1,-8,10],\ 2022 [1,-1,0,-69,-208]]