Frank Lübeck

### Conway polynomials for p = 307

f307,1 = X + 302     GAP
f307,2 = X2 + 306 X + 5     GAP
f307,3 = X3 + 7 X + 302     GAP
f307,4 = X4 + 2 X2 + 239 X + 5     RPn
f307,5 = X5 + 5 X + 302     GAP
f307,6 = X6 + 213 X3 + 172 X2 + 61 X + 5     RPn
f307,7 = X7 + 6 X + 302     GAP
f307,8 = X8 + 283 X3 + 232 X2 + 131 X + 5     RPn
f307,9 = X9 + X3 + 165 X2 + 70 X + 302     RPn

### Conway polynomials for p = 311

f311,1 = X + 294     GAP
f311,2 = X2 + 310 X + 17     GAP
f311,3 = X3 + 3 X + 294     GAP
f311,4 = X4 + 3 X2 + 163 X + 17     RPn
f311,5 = X5 + X + 294     GAP
f311,6 = X6 + X4 + 27 X3 + 167 X2 + 152 X + 17     RPn
f311,7 = X7 + 10 X + 294     GAP
f311,8 = X8 + 19 X4 + 162 X3 + 118 X2 + 2 X + 17     RPn
f311,9 = X9 + X3 + 287 X2 + 74 X + 294     RPn

### Conway polynomials for p = 313

f313,1 = X + 303     GAP
f313,2 = X2 + 310 X + 10     GAP
f313,3 = X3 + 2 X + 303     GAP
f313,4 = X4 + 8 X2 + 239 X + 10     RPn
f313,5 = X5 + 7 X + 303     GAP
f313,6 = X6 + 196 X3 + 213 X2 + 253 X + 10     RPn
f313,7 = X7 + 4 X + 303     GAP
f313,8 = X8 + 8 X4 + 306 X3 + 99 X2 + 106 X + 10     RPn
f313,9 = X9 + 8 X3 + 267 X2 + 300 X + 303     RPn

### Conway polynomials for p = 317

f317,1 = X + 315     GAP
f317,2 = X2 + 313 X + 2     GAP
f317,3 = X3 + 7 X + 315     GAP
f317,4 = X4 + 6 X2 + 178 X + 2     RPn
f317,5 = X5 + 2 X + 315     GAP
f317,6 = X6 + 2 X4 + 195 X3 + 156 X2 + 4 X + 2     RPn
f317,7 = X7 + 7 X + 315     GAP
f317,8 = X8 + X4 + 207 X3 + 85 X2 + 31 X + 2     RPn
f317,9 = X9 + 284 X2 + 296 X + 315     RPn

### Conway polynomials for p = 331

f331,1 = X + 328     GAP
f331,2 = X2 + 326 X + 3     GAP
f331,3 = X3 + X + 328     GAP
f331,4 = X4 + 3 X2 + 290 X + 3     RPn
f331,5 = X5 + 4 X + 328     GAP
f331,6 = X6 + X4 + 283 X3 + 205 X2 + 159 X + 3     RPn
f331,7 = X7 + 5 X + 328     GAP
f331,8 = X8 + X4 + 249 X3 + 308 X2 + 78 X + 3     RPn
f331,9 = X9 + 194 X2 + 210 X + 328     RPn

### Conway polynomials for p = 337

f337,1 = X + 327     GAP
f337,2 = X2 + 332 X + 10     GAP
f337,3 = X3 + 2 X + 327     GAP
f337,4 = X4 + 25 X2 + 224 X + 10     RPn
f337,5 = X5 + 2 X + 327     GAP
f337,6 = X6 + 216 X3 + 127 X2 + 109 X + 10     RPn
f337,7 = X7 + 5 X + 327     GAP
f337,8 = X8 + 331 X3 + 246 X2 + 251 X + 10     RPn
f337,9 = X9 + 12 X3 + 148 X2 + 98 X + 327     RPn

### Conway polynomials for p = 347

f347,1 = X + 345     GAP
f347,2 = X2 + 343 X + 2     GAP
f347,3 = X3 + 9 X + 345     GAP
f347,4 = X4 + 13 X2 + 295 X + 2     RPn
f347,5 = X5 + 3 X + 345     GAP
f347,6 = X6 + 3 X4 + 343 X3 + 26 X2 + 56 X + 2     RPn
f347,7 = X7 + 4 X + 345     GAP
f347,8 = X8 + X4 + 187 X3 + 213 X2 + 117 X + 2     RPn
f347,9 = X9 + 2 X3 + 235 X2 + 252 X + 345     RPn

### Conway polynomials for p = 349

f349,1 = X + 347     GAP
f349,2 = X2 + 348 X + 2     GAP
f349,3 = X3 + 4 X + 347     GAP
f349,4 = X4 + 3 X2 + 279 X + 2     RPn
f349,5 = X5 + 2 X + 347     GAP
f349,6 = X6 + 135 X3 + 177 X2 + 316 X + 2     RPn
f349,7 = X7 + 10 X + 347     GAP
f349,8 = X8 + 308 X3 + 328 X2 + 268 X + 2     RPn
f349,9 = X9 + 36 X3 + 290 X2 + 130 X + 347     RPn

### Conway polynomials for p = 353

f353,1 = X + 350     GAP
f353,2 = X2 + 348 X + 3     GAP
f353,3 = X3 + 3 X + 350     GAP
f353,4 = X4 + 199 X + 3     RPn
f353,5 = X5 + X + 350     GAP
f353,6 = X6 + X4 + 215 X3 + 226 X2 + 295 X + 3     RPn
f353,7 = X7 + 16 X + 350     GAP
f353,8 = X8 + X4 + 182 X3 + 26 X2 + 37 X + 3     RPn
f353,9 = X9 + 2 X3 + 319 X2 + 49 X + 350     RPn

### Conway polynomials for p = 359

f359,1 = X + 352     GAP
f359,2 = X2 + 358 X + 7     GAP
f359,3 = X3 + 3 X + 352     GAP
f359,4 = X4 + 2 X2 + 229 X + 7     RPn
f359,5 = X5 + X + 352     GAP
f359,6 = X6 + 4 X4 + 309 X3 + 327 X2 + 327 X + 7     RPn
f359,7 = X7 + X + 352     GAP
f359,8 = X8 + 301 X3 + 143 X2 + 271 X + 7     RPn
f359,9 = X9 + 356 X2 + 165 X + 352     RPn

### Conway polynomials for p = 367

f367,1 = X + 361     GAP
f367,2 = X2 + 366 X + 6     GAP
f367,3 = X3 + 10 X + 361     GAP
f367,4 = X4 + 3 X2 + 295 X + 6     RPn
f367,5 = X5 + 3 X + 361     GAP
f367,6 = X6 + 222 X3 + 321 X2 + 324 X + 6     RPn
f367,7 = X7 + 13 X + 361     GAP
f367,8 = X8 + 2 X4 + 335 X3 + 282 X2 + 50 X + 6     RPn
f367,9 = X9 + 15 X3 + 213 X2 + 268 X + 361     RPn

### Conway polynomials for p = 373

f373,1 = X + 371     GAP
f373,2 = X2 + 369 X + 2     GAP
f373,3 = X3 + 5 X + 371     GAP
f373,4 = X4 + 15 X2 + 304 X + 2     RPn
f373,5 = X5 + 2 X + 371     GAP
f373,6 = X6 + 126 X3 + 83 X2 + 108 X + 2     RPn
f373,7 = X7 + 7 X + 371     GAP
f373,8 = X8 + 203 X3 + 219 X2 + 66 X + 2     RPn
f373,9 = X9 + 14 X3 + 238 X2 + 370 X + 371     RPn

### Conway polynomials for p = 379

f379,1 = X + 377     GAP
f379,2 = X2 + 374 X + 2     GAP
f379,3 = X3 + 5 X + 377     GAP
f379,4 = X4 + 2 X2 + 327 X + 2     RPn
f379,5 = X5 + 4 X + 377     GAP
f379,6 = X6 + 374 X3 + 364 X2 + 246 X + 2     RPn
f379,7 = X7 + 14 X + 377     GAP
f379,8 = X8 + 13 X4 + 210 X3 + 194 X2 + 173 X + 2     RPn
f379,9 = X9 + 11 X3 + 362 X2 + 369 X + 377     RPn

### Conway polynomials for p = 383

f383,1 = X + 378     GAP
f383,2 = X2 + 382 X + 5     GAP
f383,3 = X3 + X + 378     GAP
f383,4 = X4 + 7 X2 + 309 X + 5     RPn
f383,5 = X5 + X + 378     GAP
f383,6 = X6 + X4 + 69 X3 + 8 X2 + 158 X + 5     RPn
f383,7 = X7 + 6 X + 378     GAP
f383,8 = X8 + 10 X4 + 281 X3 + 332 X2 + 296 X + 5     RPn
f383,9 = X9 + 2 X3 + 137 X2 + 76 X + 378     RPn

### Conway polynomials for p = 389

f389,1 = X + 387     GAP
f389,2 = X2 + 379 X + 2     GAP
f389,3 = X3 + 2 X + 387     GAP
f389,4 = X4 + 2 X2 + 266 X + 2     RPn
f389,5 = X5 + 4 X + 387     GAP
f389,6 = X6 + X4 + 218 X3 + 339 X2 + 255 X + 2     RPn
f389,7 = X7 + 24 X + 387     GAP
f389,8 = X8 + 351 X3 + 19 X2 + 290 X + 2     RPn
f389,9 = X9 + 2 X3 + 258 X2 + 308 X + 387     RPn

### Conway polynomials for p = 397

f397,1 = X + 392     GAP
f397,2 = X2 + 392 X + 5     GAP
f397,3 = X3 + 2 X + 392     GAP
f397,4 = X4 + 12 X2 + 363 X + 5     RPn
f397,5 = X5 + 7 X + 392     GAP
f397,6 = X6 + 382 X3 + 274 X2 + 287 X + 5     RPn
f397,7 = X7 + 12 X + 392     GAP
f397,8 = X8 + X4 + 375 X3 + 255 X2 + 203 X + 5     RPn
f397,9 = X9 + 6 X3 + 166 X2 + 252 X + 392     RPn

### Conway polynomials for p = 401

f401,1 = X + 398     GAP
f401,2 = X2 + 396 X + 3     GAP
f401,3 = X3 + 3 X + 398     GAP
f401,4 = X4 + 2 X2 + 372 X + 3     RPn
f401,5 = X5 + 4 X + 398     GAP
f401,6 = X6 + 4 X4 + 115 X3 + 81 X2 + 51 X + 3     RPn
f401,7 = X7 + 5 X + 398     GAP
f401,8 = X8 + 380 X3 + 113 X2 + 164 X + 3     RPn
f401,9 = X9 + X3 + 199 X2 + 158 X + 398     RPn

### Conway polynomials for p = 409

f409,1 = X + 388     GAP
f409,2 = X2 + 404 X + 21     GAP
f409,3 = X3 + 3 X + 388     GAP
f409,4 = X4 + 12 X2 + 407 X + 21     RPn
f409,5 = X5 + 5 X + 388     GAP
f409,6 = X6 + 372 X3 + 53 X2 + 364 X + 21     RPn
f409,7 = X7 + 7 X + 388     GAP
f409,8 = X8 + 3 X4 + 256 X3 + 69 X2 + 396 X + 21     RPn
f409,9 = X9 + 8 X3 + 318 X2 + 211 X + 388     RPn

### Conway polynomials for p = 419

f419,1 = X + 417     GAP
f419,2 = X2 + 418 X + 2     GAP
f419,3 = X3 + 11 X + 417     GAP
f419,4 = X4 + 4 X2 + 373 X + 2     RPn
f419,5 = X5 + 4 X + 417     GAP
f419,6 = X6 + 2 X4 + 411 X3 + 33 X2 + 257 X + 2     RPn
f419,7 = X7 + 4 X + 417     GAP
f419,8 = X8 + 8 X4 + 234 X3 + 388 X2 + 151 X + 2     RPn
f419,9 = X9 + 93 X2 + 386 X + 417     RPn

### Conway polynomials for p = 421

f421,1 = X + 419     GAP
f421,2 = X2 + 417 X + 2     GAP
f421,3 = X3 + 2 X + 419     GAP
f421,4 = X4 + 10 X2 + 257 X + 2     RPn
f421,5 = X5 + 15 X + 419     GAP
f421,6 = X6 + 111 X3 + 342 X2 + 41 X + 2     RPn
f421,7 = X7 + 21 X + 419     GAP
f421,8 = X8 + 5 X4 + 389 X3 + 32 X2 + 77 X + 2     RPn
f421,9 = X9 + 18 X3 + 394 X2 + 145 X + 419     RPn

### Conway polynomials for p = 431

f431,1 = X + 424     GAP
f431,2 = X2 + 430 X + 7     GAP
f431,3 = X3 + 2 X + 424     GAP
f431,4 = X4 + 2 X2 + 323 X + 7     RPn
f431,5 = X5 + 7 X + 424     GAP
f431,6 = X6 + 4 X4 + 161 X3 + 202 X2 + 182 X + 7     RPn
f431,7 = X7 + X + 424     GAP
f431,8 = X8 + 5 X4 + 243 X3 + 286 X2 + 115 X + 7     RPn
f431,9 = X9 + 2 X3 + 71 X2 + 329 X + 424     RPn

### Conway polynomials for p = 433

f433,1 = X + 428     GAP
f433,2 = X2 + 432 X + 5     GAP
f433,3 = X3 + X + 428     GAP
f433,4 = X4 + 6 X2 + 402 X + 5     RPn
f433,5 = X5 + 5 X + 428     GAP
f433,6 = X6 + 244 X3 + 353 X2 + 360 X + 5     RPn
f433,7 = X7 + 6 X + 428     GAP
f433,8 = X8 + 10 X4 + 347 X3 + 32 X2 + 39 X + 5     RPn
f433,9 = X9 + 27 X3 + 232 X2 + 45 X + 428     RPn

### Conway polynomials for p = 439

f439,1 = X + 424     GAP
f439,2 = X2 + 436 X + 15     GAP
f439,3 = X3 + 3 X + 424     GAP
f439,4 = X4 + 323 X + 15     RPn
f439,5 = X5 + X + 424     GAP
f439,6 = X6 + X3 + 324 X2 + 190 X + 15     RPn
f439,7 = X7 + X + 424     GAP
f439,8 = X8 + 359 X3 + 296 X2 + 266 X + 15     RPn
f439,9 = X9 + 16 X3 + 342 X2 + 254 X + 424     RPn

### Conway polynomials for p = 443

f443,1 = X + 441     GAP
f443,2 = X2 + 437 X + 2     GAP
f443,3 = X3 + 4 X + 441     GAP
f443,4 = X4 + 4 X2 + 383 X + 2     RPn
f443,5 = X5 + 4 X + 441     GAP
f443,6 = X6 + X4 + 298 X3 + 218 X2 + 41 X + 2     RPn
f443,7 = X7 + 6 X + 441     GAP
f443,8 = X8 + 2 X4 + 437 X3 + 217 X2 + 290 X + 2     RPn
f443,9 = X9 + 3 X3 + 125 X2 + 109 X + 441     RPn

### Conway polynomials for p = 449

f449,1 = X + 446     GAP
f449,2 = X2 + 444 X + 3     GAP
f449,3 = X3 + X + 446     GAP
f449,4 = X4 + 2 X2 + 249 X + 3     RPn
f449,5 = X5 + 9 X + 446     GAP
f449,6 = X6 + 2 X4 + 437 X3 + 293 X2 + 69 X + 3     RPn
f449,7 = X7 + 28 X + 446     GAP
f449,8 = X8 + 361 X3 + 348 X2 + 124 X + 3     RPn
f449,9 = X9 + 6 X3 + 226 X2 + 9 X + 446     RPn

### Conway polynomials for p = 457

f457,1 = X + 444     GAP
f457,2 = X2 + 454 X + 13     GAP
f457,3 = X3 + X + 444     GAP
f457,4 = X4 + 8 X2 + 407 X + 13     RPn
f457,5 = X5 + 4 X + 444     GAP
f457,6 = X6 + 205 X3 + 389 X2 + 266 X + 13     RPn
f457,7 = X7 + 14 X + 444     GAP
f457,8 = X8 + 9 X4 + 365 X3 + 296 X2 + 412 X + 13     RPn
f457,9 = X9 + 9 X3 + 354 X2 + 84 X + 444     RPn

### Conway polynomials for p = 461

f461,1 = X + 459     GAP
f461,2 = X2 + 460 X + 2     GAP
f461,3 = X3 + 3 X + 459     GAP
f461,4 = X4 + 3 X2 + 393 X + 2     RPn
f461,5 = X5 + 14 X + 459     GAP
f461,6 = X6 + X4 + 439 X3 + 432 X2 + 329 X + 2     RPn
f461,7 = X7 + 5 X + 459     GAP
f461,8 = X8 + 15 X4 + 388 X3 + 449 X2 + 321 X + 2     RPn
f461,9 = X9 + 5 X3 + 210 X2 + 276 X + 459     RPn

### Conway polynomials for p = 463

f463,1 = X + 460     GAP
f463,2 = X2 + 461 X + 3     GAP
f463,3 = X3 + 10 X + 460     GAP
f463,4 = X4 + 17 X2 + 262 X + 3     RPn
f463,5 = X5 + 3 X + 460     GAP
f463,6 = X6 + 462 X3 + 51 X2 + 110 X + 3     RPn
f463,7 = X7 + 13 X + 460     GAP
f463,8 = X8 + 234 X3 + 414 X2 + 396 X + 3     RPn
f463,9 = X9 + 3 X3 + 433 X2 + 227 X + 460     RPn

### Conway polynomials for p = 467

f467,1 = X + 465     GAP
f467,2 = X2 + 463 X + 2     GAP
f467,3 = X3 + 2 X + 465     GAP
f467,4 = X4 + 14 X2 + 353 X + 2     RPn
f467,5 = X5 + 2 X + 465     GAP
f467,6 = X6 + X4 + 123 X3 + 62 X2 + 237 X + 2     RPn
f467,7 = X7 + 7 X + 465     GAP
f467,8 = X8 + 5 X4 + 318 X3 + 413 X2 + 289 X + 2     RPn
f467,9 = X9 + 397 X2 + 447 X + 465     RPn

### Conway polynomials for p = 479

f479,1 = X + 466     GAP
f479,2 = X2 + 474 X + 13     GAP
f479,3 = X3 + 4 X + 466     GAP
f479,4 = X4 + 6 X2 + 386 X + 13     RPn
f479,5 = X5 + 2 X + 466     GAP
f479,6 = X6 + X4 + 243 X3 + 287 X2 + 334 X + 13     RPn
f479,7 = X7 + 4 X + 466     GAP
f479,8 = X8 + 7 X4 + 247 X3 + 440 X2 + 17 X + 13     RPn
f479,9 = X9 + 2 X3 + 3 X2 + 185 X + 466     RPn

### Conway polynomials for p = 487

f487,1 = X + 484     GAP
f487,2 = X2 + 485 X + 3     GAP
f487,3 = X3 + 4 X + 484     GAP
f487,4 = X4 + 4 X2 + 483 X + 3     RPn
f487,5 = X5 + X + 484     GAP
f487,6 = X6 + 450 X3 + 427 X2 + 185 X + 3     RPn
f487,7 = X7 + 7 X + 484     GAP
f487,8 = X8 + X4 + 283 X3 + 249 X2 + 137 X + 3     RPn
f487,9 = X9 + 10 X3 + 271 X2 + 447 X + 484     RPn

### Conway polynomials for p = 491

f491,1 = X + 489     GAP
f491,2 = X2 + 487 X + 2     GAP
f491,3 = X3 + 2 X + 489     GAP
f491,4 = X4 + 7 X2 + 360 X + 2     RPn
f491,5 = X5 + 5 X + 489     GAP
f491,6 = X6 + X4 + 369 X3 + 402 X2 + 125 X + 2     RPn
f491,7 = X7 + 5 X + 489     GAP
f491,8 = X8 + X4 + 378 X3 + 372 X2 + 216 X + 2     RPn
f491,9 = X9 + 149 X2 + 453 X + 489     RPn

### Conway polynomials for p = 499

f499,1 = X + 492     GAP
f499,2 = X2 + 493 X + 7     GAP
f499,3 = X3 + 2 X + 492     GAP
f499,4 = X4 + 4 X2 + 495 X + 7     RPn
f499,5 = X5 + 17 X + 492     GAP
f499,6 = X6 + 407 X3 + 191 X2 + 78 X + 7     RPn
f499,7 = X7 + 8 X + 492     GAP
f499,8 = X8 + X4 + 288 X3 + 309 X2 + 200 X + 7     RPn
f499,9 = X9 + 5 X3 + 491 X2 + 222 X + 492     RPn

Last updated: Tue Apr 12 11:53:56 2005 (CET)