Changeset 2d3091c in git
 Timestamp:
 Jul 5, 2011, 5:03:04 PM (12 years ago)
 Branches:
 (u'jengelhdatetime', 'ceac47cbc86fe4a15902392bdbb9bd2ae0ea02c6')(u'spielwiese', 'a800fe4b3e9d37a38c5a10cc0ae9dfa0c15a4ee6')
 Children:
 06df101aca2a40770d6d90cccc4cbdedcf52950a
 Parents:
 da49bc5ede2940b54c1e9f92022763151efa76e6
 gitauthor:
 Frank Seelisch <seelisch@mathematik.unikl.de>20110705 17:03:04+02:00
 gitcommitter:
 Mohamed Barakat <mohamed.barakat@rwthaachen.de>20111109 12:39:12+01:00
 Location:
 libpolys
 Files:

 3 edited
Legend:
 Unmodified
 Added
 Removed

libpolys/polys/ext_fields/transext.cc
rda49bc r2d3091c 8 8 * Denoting the implemented coeffs object by cf, then these numbers 9 9 * are represented as quotients of polynomials in the polynomial 10 * ring K[t_1, .., t_s] represented by cf> algring.10 * ring K[t_1, .., t_s] represented by cf>extring. 11 11 */ 12 12 … … 615 615 { 616 616 fraction f = (fraction)a; 617 BOOLEAN useBrackets = (!p_IsConstant(NUM(f), ntRing)) && (!DENIS1(f)); 617 BOOLEAN useBrackets = (!p_IsConstant(NUM(f), ntRing))  618 (!n_GreaterZero(p_GetCoeff(NUM(f), ntRing), 619 ntCoeffs)); 618 620 if (useBrackets) StringAppendS("("); 619 621 p_String0(NUM(f), ntRing, ntRing); … … 622 624 { 623 625 StringAppendS("/"); 624 useBrackets = !p_IsConstant(DEN(f), ntRing); 626 useBrackets = (!p_IsConstant(DEN(f), ntRing))  627 (!n_GreaterZero(p_GetCoeff(DEN(f), ntRing), ntCoeffs)); 625 628 if (useBrackets) StringAppendS("("); 626 629 p_String0(DEN(f), ntRing, ntRing); 
libpolys/polys/ext_fields/transext.h
rda49bc r2d3091c 10 10 * Denoting the implemented coeffs object by cf, then these numbers 11 11 * are represented as quotients of polynomials in the polynomial 12 * ring K[t_1, .., t_s] represented by cf> algring.12 * ring K[t_1, .., t_s] represented by cf>extring. 13 13 */ 14 14 
libpolys/tests/polys_test.h
rda49bc r2d3091c 219 219 void plusTerm(poly &p, int c, int i, int exp, const ring r) 220 220 { 221 poly t = p_ISet(c, r); p_SetExp(t, i, exp, r); p_Setm(t, r); 221 poly t = p_ISet(c, r); 222 if (exp > 0) { p_SetExp(t, i, exp, r); p_Setm(t, r); } 222 223 p = p_Add_q(p, t, r); 224 } 225 /* assumes r to represent Q(x)[y], for some variable names x and y; 226 replaces p by p + (c1 * 1000000 + c2) * x^xExp * y^yExp (inplace); 227 expects xExp, yExp >= 0 */ 228 void specialPlusTerm(poly &p, int c1, int c2, int sign, 229 int xExp, int yExp, const ring r) 230 { 231 poly c1p = p_ISet(c1, r>cf>extRing); 232 poly c2p = p_ISet(c2, r>cf>extRing); 233 poly c3p = p_ISet(1000000, r>cf>extRing); 234 poly xterm = p_Mult_q(c1p, c3p, r>cf>extRing); 235 xterm = p_Add_q(xterm, c2p, r>cf>extRing); 236 if (sign == 1) xterm = p_Neg(xterm, r>cf>extRing); 237 if (xExp > 0) 238 { 239 p_SetExp(xterm, 1, xExp, r>cf>extRing); 240 p_Setm(xterm, r>cf>extRing); 241 } 242 number xtermAsN = toFractionNumber(xterm, r>cf); 243 poly yterm = p_ISet(1, r); 244 if (yExp > 0) 245 { 246 p_SetExp(yterm, 1, yExp, r); 247 p_Setm(yterm, r); 248 } 249 p_SetCoeff(yterm, xtermAsN, r); 250 p = p_Add_q(p, yterm, r); 251 } 252 /* defines a special test polynomial in Q(x)[y], for some variable 253 names x and y, by excessively using specialPlusTerm */ 254 void specialPoly(poly &p, const ring r) 255 { 256 p = NULL; 257 specialPlusTerm(p, 0, 1, 1, 0, 17, r); 258 specialPlusTerm(p, 0, 1, 1, 15, 16, r); 259 specialPlusTerm(p, 0, 2, 1, 14, 16, r); 260 specialPlusTerm(p, 0, 3, 1, 13, 16, r); 261 specialPlusTerm(p, 0, 4, 1, 12, 16, r); 262 specialPlusTerm(p, 0, 5, 1, 11, 16, r); 263 specialPlusTerm(p, 0, 6, 1, 10, 16, r); 264 specialPlusTerm(p, 0, 7, 1, 9, 16, r); 265 specialPlusTerm(p, 0, 8, 1, 8, 16, r); 266 specialPlusTerm(p, 0, 9, 1, 7, 16, r); 267 specialPlusTerm(p, 0, 10, 1, 6, 16, r); 268 specialPlusTerm(p, 0, 11, 1, 5, 16, r); 269 specialPlusTerm(p, 0, 12, 1, 4, 16, r); 270 specialPlusTerm(p, 0, 13, 1, 3, 16, r); 271 specialPlusTerm(p, 0, 14, 1, 2, 16, r); 272 specialPlusTerm(p, 0, 15, 1, 1, 16, r); 273 specialPlusTerm(p, 0, 16, 1, 0, 16, r); 274 specialPlusTerm(p, 0, 1, 1, 29, 15, r); 275 specialPlusTerm(p, 0, 3, 1, 28, 15, r); 276 specialPlusTerm(p, 0, 7, 1, 27, 15, r); 277 specialPlusTerm(p, 0, 13, 1, 26, 15, r); 278 specialPlusTerm(p, 0, 22, 1, 25, 15, r); 279 specialPlusTerm(p, 0, 34, 1, 24, 15, r); 280 specialPlusTerm(p, 0, 50, 1, 23, 15, r); 281 specialPlusTerm(p, 0, 70, 1, 22, 15, r); 282 specialPlusTerm(p, 0, 95, 1, 21, 15, r); 283 specialPlusTerm(p, 0, 125, 1, 20, 15, r); 284 specialPlusTerm(p, 0, 161, 1, 19, 15, r); 285 specialPlusTerm(p, 0, 203, 1, 18, 15, r); 286 specialPlusTerm(p, 0, 252, 1, 17, 15, r); 287 specialPlusTerm(p, 0, 308, 1, 16, 15, r); 288 specialPlusTerm(p, 0, 372, 1, 15, 15, r); 289 specialPlusTerm(p, 0, 428, 1, 14, 15, r); 290 specialPlusTerm(p, 0, 476, 1, 13, 15, r); 291 specialPlusTerm(p, 0, 515, 1, 12, 15, r); 292 specialPlusTerm(p, 0, 545, 1, 11, 15, r); 293 specialPlusTerm(p, 0, 565, 1, 10, 15, r); 294 specialPlusTerm(p, 0, 575, 1, 9, 15, r); 295 specialPlusTerm(p, 0, 574, 1, 8, 15, r); 296 specialPlusTerm(p, 0, 562, 1, 7, 15, r); 297 specialPlusTerm(p, 0, 538, 1, 6, 15, r); 298 specialPlusTerm(p, 0, 502, 1, 5, 15, r); 299 specialPlusTerm(p, 0, 453, 1, 4, 15, r); 300 specialPlusTerm(p, 0, 391, 1, 3, 15, r); 301 specialPlusTerm(p, 0, 315, 1, 2, 15, r); 302 specialPlusTerm(p, 0, 225, 1, 1, 15, r); 303 specialPlusTerm(p, 0, 120, 1, 0, 15, r); 304 specialPlusTerm(p, 0, 1, 1, 42, 14, r); 305 specialPlusTerm(p, 0, 4, 1, 41, 14, r); 306 specialPlusTerm(p, 0, 11, 1, 40, 14, r); 307 specialPlusTerm(p, 0, 25, 1, 39, 14, r); 308 specialPlusTerm(p, 0, 50, 1, 38, 14, r); 309 specialPlusTerm(p, 0, 91, 1, 37, 14, r); 310 specialPlusTerm(p, 0, 155, 1, 36, 14, r); 311 specialPlusTerm(p, 0, 250, 1, 35, 14, r); 312 specialPlusTerm(p, 0, 386, 1, 34, 14, r); 313 specialPlusTerm(p, 0, 575, 1, 33, 14, r); 314 specialPlusTerm(p, 0, 831, 1, 32, 14, r); 315 specialPlusTerm(p, 0, 1170, 1, 31, 14, r); 316 specialPlusTerm(p, 0, 1611, 1, 30, 14, r); 317 specialPlusTerm(p, 0, 2175, 1, 29, 14, r); 318 specialPlusTerm(p, 0, 2871, 1, 28, 14, r); 319 specialPlusTerm(p, 0, 3710, 1, 27, 14, r); 320 specialPlusTerm(p, 0, 4690, 1, 26, 14, r); 321 specialPlusTerm(p, 0, 5810, 1, 25, 14, r); 322 specialPlusTerm(p, 0, 7056, 1, 24, 14, r); 323 specialPlusTerm(p, 0, 8414, 1, 23, 14, r); 324 specialPlusTerm(p, 0, 9856, 1, 22, 14, r); 325 specialPlusTerm(p, 0, 11354, 1, 21, 14, r); 326 specialPlusTerm(p, 0, 12865, 1, 20, 14, r); 327 specialPlusTerm(p, 0, 14345, 1, 19, 14, r); 328 specialPlusTerm(p, 0, 15735, 1, 18, 14, r); 329 specialPlusTerm(p, 0, 16974, 1, 17, 14, r); 330 specialPlusTerm(p, 0, 17985, 1, 16, 14, r); 331 specialPlusTerm(p, 0, 18689, 1, 15, 14, r); 332 specialPlusTerm(p, 0, 18990, 1, 14, 14, r); 333 specialPlusTerm(p, 0, 18909, 1, 13, 14, r); 334 specialPlusTerm(p, 0, 18465, 1, 12, 14, r); 335 specialPlusTerm(p, 0, 17689, 1, 11, 14, r); 336 specialPlusTerm(p, 0, 16610, 1, 10, 14, r); 337 specialPlusTerm(p, 0, 15270, 1, 9, 14, r); 338 specialPlusTerm(p, 0, 13709, 1, 8, 14, r); 339 specialPlusTerm(p, 0, 11980, 1, 7, 14, r); 340 specialPlusTerm(p, 0, 10135, 1, 6, 14, r); 341 specialPlusTerm(p, 0, 8239, 1, 5, 14, r); 342 specialPlusTerm(p, 0, 6356, 1, 4, 14, r); 343 specialPlusTerm(p, 0, 4564, 1, 3, 14, r); 344 specialPlusTerm(p, 0, 2940, 1, 2, 14, r); 345 specialPlusTerm(p, 0, 1575, 1, 1, 14, r); 346 specialPlusTerm(p, 0, 560, 1, 0, 14, r); 347 specialPlusTerm(p, 0, 1, 1, 54, 13, r); 348 specialPlusTerm(p, 0, 5, 1, 53, 13, r); 349 specialPlusTerm(p, 0, 16, 1, 52, 13, r); 350 specialPlusTerm(p, 0, 41, 1, 51, 13, r); 351 specialPlusTerm(p, 0, 92, 1, 50, 13, r); 352 specialPlusTerm(p, 0, 187, 1, 49, 13, r); 353 specialPlusTerm(p, 0, 353, 1, 48, 13, r); 354 specialPlusTerm(p, 0, 628, 1, 47, 13, r); 355 specialPlusTerm(p, 0, 1065, 1, 46, 13, r); 356 specialPlusTerm(p, 0, 1735, 1, 45, 13, r); 357 specialPlusTerm(p, 0, 2732, 1, 44, 13, r); 358 specialPlusTerm(p, 0, 4177, 1, 43, 13, r); 359 specialPlusTerm(p, 0, 6225, 1, 42, 13, r); 360 specialPlusTerm(p, 0, 9056, 1, 41, 13, r); 361 specialPlusTerm(p, 0, 12882, 1, 40, 13, r); 362 specialPlusTerm(p, 0, 17939, 1, 39, 13, r); 363 specialPlusTerm(p, 0, 24481, 1, 38, 13, r); 364 specialPlusTerm(p, 0, 32771, 1, 37, 13, r); 365 specialPlusTerm(p, 0, 43075, 1, 36, 13, r); 366 specialPlusTerm(p, 0, 55639, 1, 35, 13, r); 367 specialPlusTerm(p, 0, 70682, 1, 34, 13, r); 368 specialPlusTerm(p, 0, 88372, 1, 33, 13, r); 369 specialPlusTerm(p, 0, 108804, 1, 32, 13, r); 370 specialPlusTerm(p, 0, 131974, 1, 31, 13, r); 371 specialPlusTerm(p, 0, 157756, 1, 30, 13, r); 372 specialPlusTerm(p, 0, 185860, 1, 29, 13, r); 373 specialPlusTerm(p, 0, 215806, 1, 28, 13, r); 374 specialPlusTerm(p, 0, 246985, 1, 27, 13, r); 375 specialPlusTerm(p, 0, 278631, 1, 26, 13, r); 376 specialPlusTerm(p, 0, 309893, 1, 25, 13, r); 377 specialPlusTerm(p, 0, 339819, 1, 24, 13, r); 378 specialPlusTerm(p, 0, 367427, 1, 23, 13, r); 379 specialPlusTerm(p, 0, 391701, 1, 22, 13, r); 380 specialPlusTerm(p, 0, 411675, 1, 21, 13, r); 381 specialPlusTerm(p, 0, 426428, 1, 20, 13, r); 382 specialPlusTerm(p, 0, 435181, 1, 19, 13, r); 383 specialPlusTerm(p, 0, 437306, 1, 18, 13, r); 384 specialPlusTerm(p, 0, 432423, 1, 17, 13, r); 385 specialPlusTerm(p, 0, 420422, 1, 16, 13, r); 386 specialPlusTerm(p, 0, 401575, 1, 15, 13, r); 387 specialPlusTerm(p, 0, 376559, 1, 14, 13, r); 388 specialPlusTerm(p, 0, 346582, 1, 13, 13, r); 389 specialPlusTerm(p, 0, 312861, 1, 12, 13, r); 390 specialPlusTerm(p, 0, 276645, 1, 11, 13, r); 391 specialPlusTerm(p, 0, 239149, 1, 10, 13, r); 392 specialPlusTerm(p, 0, 201578, 1, 9, 13, r); 393 specialPlusTerm(p, 0, 165048, 1, 8, 13, r); 394 specialPlusTerm(p, 0, 130611, 1, 7, 13, r); 395 specialPlusTerm(p, 0, 99177, 1, 6, 13, r); 396 specialPlusTerm(p, 0, 71526, 1, 5, 13, r); 397 specialPlusTerm(p, 0, 48230, 1, 4, 13, r); 398 specialPlusTerm(p, 0, 29666, 1, 3, 13, r); 399 specialPlusTerm(p, 0, 15925, 1, 2, 13, r); 400 specialPlusTerm(p, 0, 6825, 1, 1, 13, r); 401 specialPlusTerm(p, 0, 1820, 1, 0, 13, r); 402 specialPlusTerm(p, 0, 1, 1, 65, 12, r); 403 specialPlusTerm(p, 0, 6, 1, 64, 12, r); 404 specialPlusTerm(p, 0, 22, 1, 63, 12, r); 405 specialPlusTerm(p, 0, 63, 1, 62, 12, r); 406 specialPlusTerm(p, 0, 155, 1, 61, 12, r); 407 specialPlusTerm(p, 0, 343, 1, 60, 12, r); 408 specialPlusTerm(p, 0, 701, 1, 59, 12, r); 409 specialPlusTerm(p, 0, 1345, 1, 58, 12, r); 410 specialPlusTerm(p, 0, 2451, 1, 57, 12, r); 411 specialPlusTerm(p, 0, 4278, 1, 56, 12, r); 412 specialPlusTerm(p, 0, 7198, 1, 55, 12, r); 413 specialPlusTerm(p, 0, 11733, 1, 54, 12, r); 414 specialPlusTerm(p, 0, 18589, 1, 53, 12, r); 415 specialPlusTerm(p, 0, 28699, 1, 52, 12, r); 416 specialPlusTerm(p, 0, 43265, 1, 51, 12, r); 417 specialPlusTerm(p, 0, 63799, 1, 50, 12, r); 418 specialPlusTerm(p, 0, 92152, 1, 49, 12, r); 419 specialPlusTerm(p, 0, 130543, 1, 48, 12, r); 420 specialPlusTerm(p, 0, 181565, 1, 47, 12, r); 421 specialPlusTerm(p, 0, 248179, 1, 46, 12, r); 422 specialPlusTerm(p, 0, 333673, 1, 45, 12, r); 423 specialPlusTerm(p, 0, 441596, 1, 44, 12, r); 424 specialPlusTerm(p, 0, 575643, 1, 43, 12, r); 425 specialPlusTerm(p, 0, 739501, 1, 42, 12, r); 426 specialPlusTerm(p, 0, 936619, 1, 41, 12, r); 427 specialPlusTerm(p, 1, 170014, 1, 40, 12, r); 428 specialPlusTerm(p, 1, 441997, 1, 39, 12, r); 429 specialPlusTerm(p, 1, 753919, 1, 38, 12, r); 430 specialPlusTerm(p, 2, 105911, 1, 37, 12, r); 431 specialPlusTerm(p, 2, 496652, 1, 36, 12, r); 432 specialPlusTerm(p, 2, 923127, 1, 35, 12, r); 433 specialPlusTerm(p, 3, 380499, 1, 34, 12, r); 434 specialPlusTerm(p, 3, 861979, 1, 33, 12, r); 435 specialPlusTerm(p, 4, 358819, 1, 32, 12, r); 436 specialPlusTerm(p, 4, 860402, 1, 31, 12, r); 437 specialPlusTerm(p, 5, 354477, 1, 30, 12, r); 438 specialPlusTerm(p, 5, 827501, 1, 29, 12, r); 439 specialPlusTerm(p, 6, 265239, 1, 28, 12, r); 440 specialPlusTerm(p, 6, 653507, 1, 27, 12, r); 441 specialPlusTerm(p, 6, 978743, 1, 26, 12, r); 442 specialPlusTerm(p, 7, 228746, 1, 25, 12, r); 443 specialPlusTerm(p, 7, 393190, 1, 24, 12, r); 444 specialPlusTerm(p, 7, 464241, 1, 23, 12, r); 445 specialPlusTerm(p, 7, 436963, 1, 22, 12, r); 446 specialPlusTerm(p, 7, 309763, 1, 21, 12, r); 447 specialPlusTerm(p, 7, 84549, 1, 20, 12, r); 448 specialPlusTerm(p, 6, 766941, 1, 19, 12, r); 449 specialPlusTerm(p, 6, 366119, 1, 18, 12, r); 450 specialPlusTerm(p, 5, 894636, 1, 17, 12, r); 451 specialPlusTerm(p, 5, 367870, 1, 16, 12, r); 452 specialPlusTerm(p, 4, 803365, 1, 15, 12, r); 453 specialPlusTerm(p, 4, 219710, 1, 14, 12, r); 454 specialPlusTerm(p, 3, 635296, 1, 13, 12, r); 455 specialPlusTerm(p, 3, 66522, 1, 12, 12, r); 456 specialPlusTerm(p, 2, 527597, 1, 11, 12, r); 457 specialPlusTerm(p, 2, 30222, 1, 10, 12, r); 458 specialPlusTerm(p, 1, 583491, 1, 9, 12, r); 459 specialPlusTerm(p, 1, 193660, 1, 8, 12, r); 460 specialPlusTerm(p, 0, 864214, 1, 7, 12, r); 461 specialPlusTerm(p, 0, 595790, 1, 6, 12, r); 462 specialPlusTerm(p, 0, 386386, 1, 5, 12, r); 463 specialPlusTerm(p, 0, 231504, 1, 4, 12, r); 464 specialPlusTerm(p, 0, 124579, 1, 3, 12, r); 465 specialPlusTerm(p, 0, 57330, 1, 2, 12, r); 466 specialPlusTerm(p, 0, 20475, 1, 1, 12, r); 467 specialPlusTerm(p, 0, 4368, 1, 0, 12, r); 468 specialPlusTerm(p, 0, 1, 1, 75, 11, r); 469 specialPlusTerm(p, 0, 7, 1, 74, 11, r); 470 specialPlusTerm(p, 0, 29, 1, 73, 11, r); 471 specialPlusTerm(p, 0, 92, 1, 72, 11, r); 472 specialPlusTerm(p, 0, 247, 1, 71, 11, r); 473 specialPlusTerm(p, 0, 590, 1, 70, 11, r); 474 specialPlusTerm(p, 0, 1292, 1, 69, 11, r); 475 specialPlusTerm(p, 0, 2643, 1, 68, 11, r); 476 specialPlusTerm(p, 0, 5116, 1, 67, 11, r); 477 specialPlusTerm(p, 0, 9457, 1, 66, 11, r); 478 specialPlusTerm(p, 0, 16810, 1, 65, 11, r); 479 specialPlusTerm(p, 0, 28874, 1, 64, 11, r); 480 specialPlusTerm(p, 0, 48105, 1, 63, 11, r); 481 specialPlusTerm(p, 0, 77963, 1, 62, 11, r); 482 specialPlusTerm(p, 0, 123209, 1, 61, 11, r); 483 specialPlusTerm(p, 0, 190245, 1, 60, 11, r); 484 specialPlusTerm(p, 0, 287494, 1, 59, 11, r); 485 specialPlusTerm(p, 0, 425804, 1, 58, 11, r); 486 specialPlusTerm(p, 0, 618866, 1, 57, 11, r); 487 specialPlusTerm(p, 0, 883609, 1, 56, 11, r); 488 specialPlusTerm(p, 1, 240541, 1, 55, 11, r); 489 specialPlusTerm(p, 1, 713978, 1, 54, 11, r); 490 specialPlusTerm(p, 2, 332107, 1, 53, 11, r); 491 specialPlusTerm(p, 3, 126867, 1, 52, 11, r); 492 specialPlusTerm(p, 4, 133571, 1, 51, 11, r); 493 specialPlusTerm(p, 5, 390227, 1, 50, 11, r); 494 specialPlusTerm(p, 6, 936520, 1, 49, 11, r); 495 specialPlusTerm(p, 8, 812464, 1, 48, 11, r); 496 specialPlusTerm(p, 11, 56669, 1, 47, 11, r); 497 specialPlusTerm(p, 13, 704280, 1, 46, 11, r); 498 specialPlusTerm(p, 16, 784594, 1, 45, 11, r); 499 specialPlusTerm(p, 20, 318470, 1, 44, 11, r); 500 specialPlusTerm(p, 24, 315607, 1, 43, 11, r); 501 specialPlusTerm(p, 28, 771888, 1, 42, 11, r); 502 specialPlusTerm(p, 33, 666946, 1, 41, 11, r); 503 specialPlusTerm(p, 38, 962309, 1, 40, 11, r); 504 specialPlusTerm(p, 44, 600023, 1, 39, 11, r); 505 specialPlusTerm(p, 50, 502149, 1, 38, 11, r); 506 specialPlusTerm(p, 56, 571139, 1, 37, 11, r); 507 specialPlusTerm(p, 62, 691244, 1, 36, 11, r); 508 specialPlusTerm(p, 68, 730935, 1, 35, 11, r); 509 specialPlusTerm(p, 74, 546533, 1, 34, 11, r); 510 specialPlusTerm(p, 79, 986722, 1, 33, 11, r); 511 specialPlusTerm(p, 84, 898120, 1, 32, 11, r); 512 specialPlusTerm(p, 89, 131550, 1, 31, 11, r); 513 specialPlusTerm(p, 92, 548805, 1, 30, 11, r); 514 specialPlusTerm(p, 95, 29441, 1, 29, 11, r); 515 specialPlusTerm(p, 96, 477351, 1, 28, 11, r); 516 specialPlusTerm(p, 96, 826185, 1, 27, 11, r); 517 specialPlusTerm(p, 96, 43174, 1, 26, 11, r); 518 specialPlusTerm(p, 94, 131647, 1, 25, 11, r); 519 specialPlusTerm(p, 91, 131660, 1, 24, 11, r); 520 specialPlusTerm(p, 87, 119171, 1, 23, 11, r); 521 specialPlusTerm(p, 82, 203392, 1, 22, 11, r); 522 specialPlusTerm(p, 76, 522667, 1, 21, 11, r); 523 specialPlusTerm(p, 70, 238707, 1, 20, 11, r); 524 specialPlusTerm(p, 63, 529796, 1, 19, 11, r); 525 specialPlusTerm(p, 56, 582713, 1, 18, 11, r); 526 specialPlusTerm(p, 49, 584249, 1, 17, 11, r); 527 specialPlusTerm(p, 42, 712395, 1, 16, 11, r); 528 specialPlusTerm(p, 36, 128059, 1, 15, 11, r); 529 specialPlusTerm(p, 29, 967652, 1, 14, 11, r); 530 specialPlusTerm(p, 24, 337808, 1, 13, 11, r); 531 specialPlusTerm(p, 19, 312634, 1, 12, 11, r); 532 specialPlusTerm(p, 14, 935096, 1, 11, 11, r); 533 specialPlusTerm(p, 11, 218988, 1, 10, 11, r); 534 specialPlusTerm(p, 8, 151858, 1, 9, 11, r); 535 specialPlusTerm(p, 5, 698407, 1, 8, 11, r); 536 specialPlusTerm(p, 3, 804801, 1, 7, 11, r); 537 specialPlusTerm(p, 2, 403115, 1, 6, 11, r); 538 specialPlusTerm(p, 1, 416415, 1, 5, 11, r); 539 specialPlusTerm(p, 0, 763763, 1, 4, 11, r); 540 specialPlusTerm(p, 0, 365365, 1, 3, 11, r); 541 specialPlusTerm(p, 0, 147147, 1, 2, 11, r); 542 specialPlusTerm(p, 0, 45045, 1, 1, 11, r); 543 specialPlusTerm(p, 0, 8008, 1, 0, 11, r); 544 specialPlusTerm(p, 0, 1, 1, 84, 10, r); 545 specialPlusTerm(p, 0, 8, 1, 83, 10, r); 546 specialPlusTerm(p, 0, 37, 1, 82, 10, r); 547 specialPlusTerm(p, 0, 129, 1, 81, 10, r); 548 specialPlusTerm(p, 0, 376, 1, 80, 10, r); 549 specialPlusTerm(p, 0, 966, 1, 79, 10, r); 550 specialPlusTerm(p, 0, 2258, 1, 78, 10, r); 551 specialPlusTerm(p, 0, 4902, 1, 77, 10, r); 552 specialPlusTerm(p, 0, 10025, 1, 76, 10, r); 553 specialPlusTerm(p, 0, 19511, 1, 75, 10, r); 554 specialPlusTerm(p, 0, 36402, 1, 74, 10, r); 555 specialPlusTerm(p, 0, 65457, 1, 73, 10, r); 556 specialPlusTerm(p, 0, 113910, 1, 72, 10, r); 557 specialPlusTerm(p, 0, 192472, 1, 71, 10, r); 558 specialPlusTerm(p, 0, 316620, 1, 70, 10, r); 559 specialPlusTerm(p, 0, 508215, 1, 69, 10, r); 560 specialPlusTerm(p, 0, 797473, 1, 68, 10, r); 561 specialPlusTerm(p, 1, 225306, 1, 67, 10, r); 562 specialPlusTerm(p, 1, 846017, 1, 66, 10, r); 563 specialPlusTerm(p, 2, 730299, 1, 65, 10, r); 564 specialPlusTerm(p, 3, 968427, 1, 64, 10, r); 565 specialPlusTerm(p, 5, 673536, 1, 63, 10, r); 566 specialPlusTerm(p, 7, 984777, 1, 62, 10, r); 567 specialPlusTerm(p, 11, 70116, 1, 61, 10, r); 568 specialPlusTerm(p, 15, 128465, 1, 60, 10, r); 569 specialPlusTerm(p, 20, 390819, 1, 59, 10, r); 570 specialPlusTerm(p, 27, 120017, 1, 58, 10, r); 571 specialPlusTerm(p, 35, 608761, 1, 57, 10, r); 572 specialPlusTerm(p, 46, 175479, 1, 56, 10, r); 573 specialPlusTerm(p, 59, 157726, 1, 55, 10, r); 574 specialPlusTerm(p, 74, 902862, 1, 54, 10, r); 575 specialPlusTerm(p, 93, 755945, 1, 53, 10, r); 576 specialPlusTerm(p, 116, 44932, 1, 52, 10, r); 577 specialPlusTerm(p, 142, 63382, 1, 51, 10, r); 578 specialPlusTerm(p, 172, 51120, 1, 50, 10, r); 579 specialPlusTerm(p, 206, 173563, 1, 49, 10, r); 580 specialPlusTerm(p, 244, 500607, 1, 48, 10, r); 581 specialPlusTerm(p, 286, 986083, 1, 47, 10, r); 582 specialPlusTerm(p, 333, 449096, 1, 46, 10, r); 583 specialPlusTerm(p, 383, 558571, 1, 45, 10, r); 584 specialPlusTerm(p, 436, 822461, 1, 44, 10, r); 585 specialPlusTerm(p, 492, 582939, 1, 43, 10, r); 586 specialPlusTerm(p, 550, 18832, 1, 42, 10, r); 587 specialPlusTerm(p, 608, 156141, 1, 41, 10, r); 588 specialPlusTerm(p, 665, 887167, 1, 40, 10, r); 589 specialPlusTerm(p, 721, 997807, 1, 39, 10, r); 590 specialPlusTerm(p, 775, 202852, 1, 38, 10, r); 591 specialPlusTerm(p, 824, 187996, 1, 37, 10, r); 592 specialPlusTerm(p, 867, 657138, 1, 36, 10, r); 593 specialPlusTerm(p, 904, 382945, 1, 35, 10, r); 594 specialPlusTerm(p, 933, 258541, 1, 34, 10, r); 595 specialPlusTerm(p, 953, 347368, 1, 33, 10, r); 596 specialPlusTerm(p, 963, 928871, 1, 32, 10, r); 597 specialPlusTerm(p, 964, 536834, 1, 31, 10, r); 598 specialPlusTerm(p, 954, 987850, 1, 30, 10, r); 599 specialPlusTerm(p, 935, 397536, 1, 29, 10, r); 600 specialPlusTerm(p, 906, 183073, 1, 28, 10, r); 601 specialPlusTerm(p, 868, 50862, 1, 27, 10, r); 602 specialPlusTerm(p, 821, 970338, 1, 26, 10, r); 603 specialPlusTerm(p, 769, 135827, 1, 25, 10, r); 604 specialPlusTerm(p, 710, 918057, 1, 24, 10, r); 605 specialPlusTerm(p, 648, 808233, 1, 23, 10, r); 606 specialPlusTerm(p, 584, 357073, 1, 22, 10, r); 607 specialPlusTerm(p, 519, 112032, 1, 21, 10, r); 608 specialPlusTerm(p, 454, 555728, 1, 20, 10, r); 609 specialPlusTerm(p, 392, 49009, 1, 19, 10, r); 610 specialPlusTerm(p, 332, 781273, 1, 18, 10, r); 611 specialPlusTerm(p, 277, 731388, 1, 17, 10, r); 612 specialPlusTerm(p, 227, 641117, 1, 16, 10, r); 613 specialPlusTerm(p, 183, 2853, 1, 15, 10, r); 614 specialPlusTerm(p, 144, 62127, 1, 14, 10, r); 615 specialPlusTerm(p, 110, 834647, 1, 13, 10, r); 616 specialPlusTerm(p, 83, 135184, 1, 12, 10, r); 617 specialPlusTerm(p, 60, 614741, 1, 11, 10, r); 618 specialPlusTerm(p, 42, 799119, 1, 10, 10, r); 619 specialPlusTerm(p, 29, 127956, 1, 9, 10, r); 620 specialPlusTerm(p, 18, 992545, 1, 8, 10, r); 621 specialPlusTerm(p, 11, 771474, 1, 7, 10, r); 622 specialPlusTerm(p, 6, 862141, 1, 6, 10, r); 623 specialPlusTerm(p, 3, 707704, 1, 5, 10, r); 624 specialPlusTerm(p, 1, 817816, 1, 4, 10, r); 625 specialPlusTerm(p, 0, 782782, 1, 3, 10, r); 626 specialPlusTerm(p, 0, 280280, 1, 2, 10, r); 627 specialPlusTerm(p, 0, 75075, 1, 1, 10, r); 628 specialPlusTerm(p, 0, 11440, 1, 0, 10, r); 629 specialPlusTerm(p, 0, 1, 1, 92, 9, r); 630 specialPlusTerm(p, 0, 9, 1, 91, 9, r); 631 specialPlusTerm(p, 0, 46, 1, 90, 9, r); 632 specialPlusTerm(p, 0, 175, 1, 89, 9, r); 633 specialPlusTerm(p, 0, 551, 1, 88, 9, r); 634 specialPlusTerm(p, 0, 1517, 1, 87, 9, r); 635 specialPlusTerm(p, 0, 3775, 1, 86, 9, r); 636 specialPlusTerm(p, 0, 8677, 1, 85, 9, r); 637 specialPlusTerm(p, 0, 18703, 1, 84, 9, r); 638 specialPlusTerm(p, 0, 38212, 1, 83, 9, r); 639 specialPlusTerm(p, 0, 74581, 1, 82, 9, r); 640 specialPlusTerm(p, 0, 139877, 1, 81, 9, r); 641 specialPlusTerm(p, 0, 253243, 1, 80, 9, r); 642 specialPlusTerm(p, 0, 444211, 1, 79, 9, r); 643 specialPlusTerm(p, 0, 757189, 1, 78, 9, r); 644 specialPlusTerm(p, 1, 257386, 1, 77, 9, r); 645 specialPlusTerm(p, 2, 38445, 1, 76, 9, r); 646 specialPlusTerm(p, 3, 232029, 1, 75, 9, r); 647 specialPlusTerm(p, 5, 19547, 1, 74, 9, r); 648 specialPlusTerm(p, 7, 646140, 1, 73, 9, r); 649 specialPlusTerm(p, 11, 436924, 1, 72, 9, r); 650 specialPlusTerm(p, 16, 815312, 1, 71, 9, r); 651 specialPlusTerm(p, 24, 323016, 1, 70, 9, r); 652 specialPlusTerm(p, 34, 641066, 1, 69, 9, r); 653 specialPlusTerm(p, 48, 610873, 1, 68, 9, r); 654 specialPlusTerm(p, 67, 254061, 1, 67, 9, r); 655 specialPlusTerm(p, 91, 789450, 1, 66, 9, r); 656 specialPlusTerm(p, 123, 645277, 1, 65, 9, r); 657 specialPlusTerm(p, 164, 464508, 1, 64, 9, r); 658 specialPlusTerm(p, 216, 101017, 1, 63, 9, r); 659 specialPlusTerm(p, 280, 604281, 1, 62, 9, r); 660 specialPlusTerm(p, 360, 190441, 1, 61, 9, r); 661 specialPlusTerm(p, 457, 197865, 1, 60, 9, r); 662 specialPlusTerm(p, 574, 25922, 1, 59, 9, r); 663 specialPlusTerm(p, 713, 56365, 1, 58, 9, r); 664 specialPlusTerm(p, 876, 557703, 1, 57, 9, r); 665 specialPlusTerm(p, 1066, 573992, 1, 56, 9, r); 666 specialPlusTerm(p, 1284, 800887, 1, 55, 9, r); 667 specialPlusTerm(p, 1532, 453056, 1, 54, 9, r); 668 specialPlusTerm(p, 1810, 128450, 1, 53, 9, r); 669 specialPlusTerm(p, 2117, 675954, 1, 52, 9, r); 670 specialPlusTerm(p, 2454, 73820, 1, 51, 9, r); 671 specialPlusTerm(p, 2817, 326941, 1, 50, 9, r); 672 specialPlusTerm(p, 3204, 391243, 1, 49, 9, r); 673 specialPlusTerm(p, 3611, 133043, 1, 48, 9, r); 674 specialPlusTerm(p, 4032, 330356, 1, 47, 9, r); 675 specialPlusTerm(p, 4461, 721846, 1, 46, 9, r); 676 specialPlusTerm(p, 4892, 107024, 1, 45, 9, r); 677 specialPlusTerm(p, 5315, 498836, 1, 44, 9, r); 678 specialPlusTerm(p, 5723, 326840, 1, 43, 9, r); 679 specialPlusTerm(p, 6106, 686025, 1, 42, 9, r); 680 specialPlusTerm(p, 6456, 623000, 1, 41, 9, r); 681 specialPlusTerm(p, 6764, 448368, 1, 40, 9, r); 682 specialPlusTerm(p, 7022, 61523, 1, 39, 9, r); 683 specialPlusTerm(p, 7222, 273135, 1, 38, 9, r); 684 specialPlusTerm(p, 7359, 108966, 1, 37, 9, r); 685 specialPlusTerm(p, 7428, 79054, 1, 36, 9, r); 686 specialPlusTerm(p, 7426, 396980, 1, 35, 9, r); 687 specialPlusTerm(p, 7353, 135921, 1, 34, 9, r); 688 specialPlusTerm(p, 7209, 310506, 1, 33, 9, r); 689 specialPlusTerm(p, 6997, 877688, 1, 32, 9, r); 690 specialPlusTerm(p, 6723, 653256, 1, 31, 9, r); 691 specialPlusTerm(p, 6393, 146079, 1, 30, 9, r); 692 specialPlusTerm(p, 6014, 316858, 1, 29, 9, r); 693 specialPlusTerm(p, 5596, 273275, 1, 28, 9, r); 694 specialPlusTerm(p, 5148, 917160, 1, 27, 9, r); 695 specialPlusTerm(p, 4682, 563401, 1, 26, 9, r); 696 specialPlusTerm(p, 4207, 550601, 1, 25, 9, r); 697 specialPlusTerm(p, 3733, 862769, 1, 24, 9, r); 698 specialPlusTerm(p, 3270, 780702, 1, 23, 9, r); 699 specialPlusTerm(p, 2826, 579105, 1, 22, 9, r); 700 specialPlusTerm(p, 2408, 283186, 1, 21, 9, r); 701 specialPlusTerm(p, 2021, 494926, 1, 20, 9, r); 702 specialPlusTerm(p, 1670, 295297, 1, 19, 9, r); 703 specialPlusTerm(p, 1357, 224099, 1, 18, 9, r); 704 specialPlusTerm(p, 1083, 335088, 1, 17, 9, r); 705 specialPlusTerm(p, 848, 318658, 1, 16, 9, r); 706 specialPlusTerm(p, 650, 680536, 1, 15, 9, r); 707 specialPlusTerm(p, 487, 961232, 1, 14, 9, r); 708 specialPlusTerm(p, 356, 978589, 1, 13, 9, r); 709 specialPlusTerm(p, 254, 74425, 1, 12, 9, r); 710 specialPlusTerm(p, 175, 348338, 1, 11, 9, r); 711 specialPlusTerm(p, 116, 865243, 1, 10, 9, r); 712 specialPlusTerm(p, 74, 831757, 1, 9, 9, r); 713 specialPlusTerm(p, 45, 737406, 1, 8, 9, r); 714 specialPlusTerm(p, 26, 458575, 1, 7, 9, r); 715 specialPlusTerm(p, 14, 324310, 1, 6, 9, r); 716 specialPlusTerm(p, 7, 145853, 1, 5, 9, r); 717 specialPlusTerm(p, 3, 212352, 1, 4, 9, r); 718 specialPlusTerm(p, 1, 257828, 1, 3, 9, r); 719 specialPlusTerm(p, 0, 405405, 1, 2, 9, r); 720 specialPlusTerm(p, 0, 96525, 1, 1, 9, r); 721 specialPlusTerm(p, 0, 12870, 1, 0, 9, r); 722 specialPlusTerm(p, 0, 1, 1, 99, 8, r); 723 specialPlusTerm(p, 0, 10, 1, 98, 8, r); 724 specialPlusTerm(p, 0, 56, 1, 97, 8, r); 725 specialPlusTerm(p, 0, 231, 1, 96, 8, r); 726 specialPlusTerm(p, 0, 782, 1, 95, 8, r); 727 specialPlusTerm(p, 0, 2299, 1, 94, 8, r); 728 specialPlusTerm(p, 0, 6074, 1, 93, 8, r); 729 specialPlusTerm(p, 0, 14751, 1, 92, 8, r); 730 specialPlusTerm(p, 0, 33445, 1, 91, 8, r); 731 specialPlusTerm(p, 0, 71586, 1, 90, 8, r); 732 specialPlusTerm(p, 0, 145843, 1, 89, 8, r); 733 specialPlusTerm(p, 0, 284605, 1, 88, 8, r); 734 specialPlusTerm(p, 0, 534639, 1, 87, 8, r); 735 specialPlusTerm(p, 0, 970707, 1, 86, 8, r); 736 specialPlusTerm(p, 1, 709091, 1, 85, 8, r); 737 specialPlusTerm(p, 2, 926134, 1, 84, 8, r); 738 specialPlusTerm(p, 4, 883022, 1, 83, 8, r); 739 specialPlusTerm(p, 7, 958118, 1, 82, 8, r); 740 specialPlusTerm(p, 12, 688161, 1, 81, 8, r); 741 specialPlusTerm(p, 19, 819543, 1, 80, 8, r); 742 specialPlusTerm(p, 30, 370620, 1, 79, 8, r); 743 specialPlusTerm(p, 45, 705588, 1, 78, 8, r); 744 specialPlusTerm(p, 67, 619803, 1, 77, 8, r); 745 specialPlusTerm(p, 98, 435565, 1, 76, 8, r); 746 specialPlusTerm(p, 141, 106293, 1, 75, 8, r); 747 specialPlusTerm(p, 199, 325748, 1, 74, 8, r); 748 specialPlusTerm(p, 277, 637550, 1, 73, 8, r); 749 specialPlusTerm(p, 381, 538692, 1, 72, 8, r); 750 specialPlusTerm(p, 517, 569184, 1, 71, 8, r); 751 specialPlusTerm(p, 693, 378528, 1, 70, 8, r); 752 specialPlusTerm(p, 917, 758545, 1, 69, 8, r); 753 specialPlusTerm(p, 1200, 631327, 1, 68, 8, r); 754 specialPlusTerm(p, 1552, 980935, 1, 67, 8, r); 755 specialPlusTerm(p, 1986, 718008, 1, 66, 8, r); 756 specialPlusTerm(p, 2514, 467898, 1, 65, 8, r); 757 specialPlusTerm(p, 3149, 275373, 1, 64, 8, r); 758 specialPlusTerm(p, 3904, 222333, 1, 63, 8, r); 759 specialPlusTerm(p, 4791, 959202, 1, 62, 8, r); 760 specialPlusTerm(p, 5824, 155954, 1, 61, 8, r); 761 specialPlusTerm(p, 7010, 884530, 1, 60, 8, r); 762 specialPlusTerm(p, 8359, 950639, 1, 59, 8, r); 763 specialPlusTerm(p, 9876, 199091, 1, 58, 8, r); 764 specialPlusTerm(p, 11560, 822647, 1, 57, 8, r); 765 specialPlusTerm(p, 13410, 709233, 1, 56, 8, r); 766 specialPlusTerm(p, 15417, 866033, 1, 55, 8, r); 767 specialPlusTerm(p, 17568, 960466, 1, 54, 8, r); 768 specialPlusTerm(p, 19845, 17463, 1, 53, 8, r); 769 specialPlusTerm(p, 22221, 309147, 1, 52, 8, r); 770 specialPlusTerm(p, 24667, 467342, 1, 51, 8, r); 771 specialPlusTerm(p, 27147, 841107, 1, 50, 8, r); 772 specialPlusTerm(p, 29622, 110916, 1, 49, 8, r); 773 specialPlusTerm(p, 32046, 158421, 1, 48, 8, r); 774 specialPlusTerm(p, 34373, 176970, 1, 47, 8, r); 775 specialPlusTerm(p, 36554, 993654, 1, 46, 8, r); 776 specialPlusTerm(p, 38543, 559373, 1, 45, 8, r); 777 specialPlusTerm(p, 40292, 550458, 1, 44, 8, r); 778 specialPlusTerm(p, 41759, 14716, 1, 43, 8, r); 779 specialPlusTerm(p, 42904, 987186, 1, 42, 8, r); 780 specialPlusTerm(p, 43698, 997388, 1, 41, 8, r); 781 specialPlusTerm(p, 44117, 391022, 1, 40, 8, r); 782 specialPlusTerm(p, 44145, 394986, 1, 39, 8, r); 783 specialPlusTerm(p, 43777, 865188, 1, 38, 8, r); 784 specialPlusTerm(p, 43019, 670206, 1, 37, 8, r); 785 specialPlusTerm(p, 41885, 681598, 1, 36, 8, r); 786 specialPlusTerm(p, 40400, 361216, 1, 35, 8, r); 787 specialPlusTerm(p, 38596, 956954, 1, 34, 8, r); 788 specialPlusTerm(p, 36516, 339240, 1, 33, 8, r); 789 specialPlusTerm(p, 34205, 530818, 1, 32, 8, r); 790 specialPlusTerm(p, 31715, 999202, 1, 31, 8, r); 791 specialPlusTerm(p, 29101, 795368, 1, 30, 8, r); 792 specialPlusTerm(p, 26417, 630514, 1, 29, 8, r); 793 specialPlusTerm(p, 23716, 985664, 1, 28, 8, r); 794 specialPlusTerm(p, 21050, 345182, 1, 27, 8, r); 795 specialPlusTerm(p, 18463, 636290, 1, 26, 8, r); 796 specialPlusTerm(p, 15996, 940992, 1, 25, 8, r); 797 specialPlusTerm(p, 13683, 529134, 1, 24, 8, r); 798 specialPlusTerm(p, 11549, 242308, 1, 23, 8, r); 799 specialPlusTerm(p, 9612, 238032, 1, 22, 8, r); 800 specialPlusTerm(p, 7883, 84208, 1, 21, 8, r); 801 specialPlusTerm(p, 6365, 175366, 1, 20, 8, r); 802 specialPlusTerm(p, 5055, 425826, 1, 19, 8, r); 803 specialPlusTerm(p, 3945, 181834, 1, 18, 8, r); 804 specialPlusTerm(p, 3021, 285630, 1, 17, 8, r); 805 specialPlusTerm(p, 2267, 219328, 1, 16, 8, r); 806 specialPlusTerm(p, 1664, 257320, 1, 15, 8, r); 807 specialPlusTerm(p, 1192, 561524, 1, 14, 8, r); 808 specialPlusTerm(p, 832, 164102, 1, 13, 8, r); 809 specialPlusTerm(p, 563, 796684, 1, 12, 8, r); 810 specialPlusTerm(p, 369, 542514, 1, 11, 8, r); 811 specialPlusTerm(p, 233, 304720, 1, 10, 8, r); 812 specialPlusTerm(p, 141, 98386, 1, 9, 8, r); 813 specialPlusTerm(p, 81, 180528, 1, 8, 8, r); 814 specialPlusTerm(p, 44, 38137, 1, 7, 8, r); 815 specialPlusTerm(p, 22, 259094, 1, 6, 8, r); 816 specialPlusTerm(p, 10, 314447, 1, 5, 8, r); 817 specialPlusTerm(p, 4, 281420, 1, 4, 8, r); 818 specialPlusTerm(p, 1, 537107, 1, 3, 8, r); 819 specialPlusTerm(p, 0, 450450, 1, 2, 8, r); 820 specialPlusTerm(p, 0, 96525, 1, 1, 8, r); 821 specialPlusTerm(p, 0, 11440, 1, 0, 8, r); 822 specialPlusTerm(p, 0, 1, 1, 105, 7, r); 823 specialPlusTerm(p, 0, 11, 1, 104, 7, r); 824 specialPlusTerm(p, 0, 67, 1, 103, 7, r); 825 specialPlusTerm(p, 0, 298, 1, 102, 7, r); 826 specialPlusTerm(p, 0, 1080, 1, 101, 7, r); 827 specialPlusTerm(p, 0, 3379, 1, 100, 7, r); 828 specialPlusTerm(p, 0, 9453, 1, 99, 7, r); 829 specialPlusTerm(p, 0, 24196, 1, 98, 7, r); 830 specialPlusTerm(p, 0, 57569, 1, 97, 7, r); 831 specialPlusTerm(p, 0, 128787, 1, 96, 7, r); 832 specialPlusTerm(p, 0, 273231, 1, 95, 7, r); 833 specialPlusTerm(p, 0, 553438, 1, 94, 7, r); 834 specialPlusTerm(p, 1, 75997, 1, 93, 7, r); 835 specialPlusTerm(p, 2, 16735, 1, 92, 7, r); 836 specialPlusTerm(p, 3, 657192, 1, 91, 7, r); 837 specialPlusTerm(p, 6, 436037, 1, 90, 7, r); 838 specialPlusTerm(p, 11, 19717, 1, 89, 7, r); 839 specialPlusTerm(p, 18, 397189, 1, 88, 7, r); 840 specialPlusTerm(p, 30, 3973, 1, 87, 7, r); 841 specialPlusTerm(p, 47, 880870, 1, 86, 7, r); 842 specialPlusTerm(p, 74, 872383, 1, 85, 7, r); 843 specialPlusTerm(p, 114, 869036, 1, 84, 7, r); 844 specialPlusTerm(p, 173, 96283, 1, 83, 7, r); 845 specialPlusTerm(p, 256, 450472, 1, 82, 7, r); 846 specialPlusTerm(p, 373, 879259, 1, 81, 7, r); 847 specialPlusTerm(p, 536, 799939, 1, 80, 7, r); 848 specialPlusTerm(p, 759, 544391, 1, 79, 7, r); 849 specialPlusTerm(p, 1059, 813880, 1, 78, 7, r); 850 specialPlusTerm(p, 1459, 121011, 1, 77, 7, r); 851 specialPlusTerm(p, 1983, 190069, 1, 76, 7, r); 852 specialPlusTerm(p, 2662, 281192, 1, 75, 7, r); 853 specialPlusTerm(p, 3531, 398853, 1, 74, 7, r); 854 specialPlusTerm(p, 4630, 341477, 1, 73, 7, r); 855 specialPlusTerm(p, 6003, 547268, 1, 72, 7, r); 856 specialPlusTerm(p, 7699, 692101, 1, 71, 7, r); 857 specialPlusTerm(p, 9770, 999253, 1, 70, 7, r); 858 specialPlusTerm(p, 12272, 228155, 1, 69, 7, r); 859 specialPlusTerm(p, 15259, 320516, 1, 68, 7, r); 860 specialPlusTerm(p, 18787, 697047, 1, 67, 7, r); 861 specialPlusTerm(p, 22910, 216326, 1, 66, 7, r); 862 specialPlusTerm(p, 27674, 828551, 1, 65, 7, r); 863 specialPlusTerm(p, 33121, 980096, 1, 64, 7, r); 864 specialPlusTerm(p, 39281, 848637, 1, 63, 7, r); 865 specialPlusTerm(p, 46171, 511745, 1, 62, 7, r); 866 specialPlusTerm(p, 53792, 172793, 1, 61, 7, r); 867 specialPlusTerm(p, 62126, 584715, 1, 60, 7, r); 868 specialPlusTerm(p, 71136, 823074, 1, 59, 7, r); 869 specialPlusTerm(p, 80762, 563409, 1, 58, 7, r); 870 specialPlusTerm(p, 90920, 12755, 1, 57, 7, r); 871 specialPlusTerm(p, 101501, 630586, 1, 56, 7, r); 872 specialPlusTerm(p, 112376, 750037, 1, 55, 7, r); 873 specialPlusTerm(p, 123393, 176185, 1, 54, 7, r); 874 specialPlusTerm(p, 134379, 795971, 1, 53, 7, r); 875 specialPlusTerm(p, 145150, 185558, 1, 52, 7, r); 876 specialPlusTerm(p, 155507, 148257, 1, 51, 7, r); 877 specialPlusTerm(p, 165248, 62169, 1, 50, 7, r); 878 specialPlusTerm(p, 174170, 864688, 1, 49, 7, r); 879 specialPlusTerm(p, 182080, 454274, 1, 48, 7, r); 880 specialPlusTerm(p, 188795, 252141, 1, 47, 7, r); 881 specialPlusTerm(p, 194153, 640367, 1, 46, 7, r); 882 specialPlusTerm(p, 198019, 981033, 1, 45, 7, r); 883 specialPlusTerm(p, 200289, 925212, 1, 44, 7, r); 884 specialPlusTerm(p, 200894, 741748, 1, 43, 7, r); 885 specialPlusTerm(p, 199804, 433264, 1, 42, 7, r); 886 specialPlusTerm(p, 197029, 459520, 1, 41, 7, r); 887 specialPlusTerm(p, 192620, 953188, 1, 40, 7, r); 888 specialPlusTerm(p, 186669, 386562, 1, 39, 7, r); 889 specialPlusTerm(p, 179301, 725204, 1, 38, 7, r); 890 specialPlusTerm(p, 170677, 181240, 1, 37, 7, r); 891 specialPlusTerm(p, 160981, 751274, 1, 36, 7, r); 892 specialPlusTerm(p, 150421, 786460, 1, 35, 7, r); 893 specialPlusTerm(p, 139216, 891710, 1, 34, 7, r); 894 specialPlusTerm(p, 127592, 483930, 1, 33, 7, r); 895 specialPlusTerm(p, 115772, 353582, 1, 32, 7, r); 896 specialPlusTerm(p, 103971, 568098, 1, 31, 7, r); 897 specialPlusTerm(p, 92390, 30732, 1, 30, 7, r); 898 specialPlusTerm(p, 81206, 964790, 1, 29, 7, r); 899 specialPlusTerm(p, 70576, 534794, 1, 28, 7, r); 900 specialPlusTerm(p, 60624, 746714, 1, 27, 7, r); 901 specialPlusTerm(p, 51447, 694586, 1, 26, 7, r); 902 specialPlusTerm(p, 43111, 145244, 1, 25, 7, r); 903 specialPlusTerm(p, 35651, 383472, 1, 24, 7, r); 904 specialPlusTerm(p, 29077, 179220, 1, 23, 7, r); 905 specialPlusTerm(p, 23372, 689230, 1, 22, 7, r); 906 specialPlusTerm(p, 18501, 69995, 1, 21, 7, r); 907 specialPlusTerm(p, 14408, 558395, 1, 20, 7, r); 908 specialPlusTerm(p, 11028, 771237, 1, 19, 7, r); 909 specialPlusTerm(p, 8286, 985223, 1, 18, 7, r); 910 specialPlusTerm(p, 6104, 182964, 1, 17, 7, r); 911 specialPlusTerm(p, 4400, 686554, 1, 16, 7, r); 912 specialPlusTerm(p, 3099, 245270, 1, 15, 7, r); 913 specialPlusTerm(p, 2127, 493720, 1, 14, 7, r); 914 specialPlusTerm(p, 1419, 747120, 1, 13, 7, r); 915 specialPlusTerm(p, 918, 147362, 1, 12, 7, r); 916 specialPlusTerm(p, 573, 212794, 1, 11, 7, r); 917 specialPlusTerm(p, 343, 872738, 1, 10, 7, r); 918 specialPlusTerm(p, 197, 84030, 1, 9, 7, r); 919 specialPlusTerm(p, 107, 132168, 1, 8, 7, r); 920 specialPlusTerm(p, 54, 719808, 1, 7, 7, r); 921 specialPlusTerm(p, 25, 940200, 1, 6, 7, r); 922 specialPlusTerm(p, 11, 223212, 1, 5, 7, r); 923 specialPlusTerm(p, 4, 327323, 1, 4, 7, r); 924 specialPlusTerm(p, 1, 434433, 1, 3, 7, r); 925 specialPlusTerm(p, 0, 385385, 1, 2, 7, r); 926 specialPlusTerm(p, 0, 75075, 1, 1, 7, r); 927 specialPlusTerm(p, 0, 8008, 1, 0, 7, r); 928 specialPlusTerm(p, 0, 1, 1, 110, 6, r); 929 specialPlusTerm(p, 0, 12, 1, 109, 6, r); 930 specialPlusTerm(p, 0, 79, 1, 108, 6, r); 931 specialPlusTerm(p, 0, 377, 1, 107, 6, r); 932 specialPlusTerm(p, 0, 1457, 1, 106, 6, r); 933 specialPlusTerm(p, 0, 4836, 1, 105, 6, r); 934 specialPlusTerm(p, 0, 14282, 1, 104, 6, r); 935 specialPlusTerm(p, 0, 38408, 1, 103, 6, r); 936 specialPlusTerm(p, 0, 95585, 1, 102, 6, r); 937 specialPlusTerm(p, 0, 222755, 1, 101, 6, r); 938 specialPlusTerm(p, 0, 490512, 1, 100, 6, r); 939 specialPlusTerm(p, 1, 27858, 1, 99, 6, r); 940 specialPlusTerm(p, 2, 61348, 1, 98, 6, r); 941 specialPlusTerm(p, 3, 974921, 1, 97, 6, r); 942 specialPlusTerm(p, 7, 398548, 1, 96, 6, r); 943 specialPlusTerm(p, 13, 335851, 1, 95, 6, r); 944 specialPlusTerm(p, 23, 342939, 1, 94, 6, r); 945 specialPlusTerm(p, 39, 772696, 1, 93, 6, r); 946 specialPlusTerm(p, 66, 100395, 1, 92, 6, r); 947 specialPlusTerm(p, 107, 347509, 1, 91, 6, r); 948 specialPlusTerm(p, 170, 620609, 1, 90, 6, r); 949 specialPlusTerm(p, 265, 780891, 1, 89, 6, r); 950 specialPlusTerm(p, 406, 256761, 1, 88, 6, r); 951 specialPlusTerm(p, 610, 6662, 1, 87, 6, r); 952 specialPlusTerm(p, 900, 631638, 1, 86, 6, r); 953 specialPlusTerm(p, 1308, 626820, 1, 85, 6, r); 954 specialPlusTerm(p, 1872, 748088, 1, 84, 6, r); 955 specialPlusTerm(p, 2641, 454830, 1, 83, 6, r); 956 specialPlusTerm(p, 3674, 372459, 1, 82, 6, r); 957 specialPlusTerm(p, 5043, 699859, 1, 81, 6, r); 958 specialPlusTerm(p, 6835, 468267, 1, 80, 6, r); 959 specialPlusTerm(p, 9150, 540598, 1, 79, 6, r); 960 specialPlusTerm(p, 12105, 225506, 1, 78, 6, r); 961 specialPlusTerm(p, 15831, 370284, 1, 77, 6, r); 962 specialPlusTerm(p, 20475, 792894, 1, 76, 6, r); 963 specialPlusTerm(p, 26198, 917672, 1, 75, 6, r); 964 specialPlusTerm(p, 33172, 493074, 1, 74, 6, r); 965 specialPlusTerm(p, 41576, 294268, 1, 73, 6, r); 966 specialPlusTerm(p, 51593, 749027, 1, 72, 6, r); 967 specialPlusTerm(p, 63406, 472134, 1, 71, 6, r); 968 specialPlusTerm(p, 77187, 750422, 1, 70, 6, r); 969 specialPlusTerm(p, 93095, 85649, 1, 69, 6, r); 970 specialPlusTerm(p, 111261, 972846, 1, 68, 6, r); 971 specialPlusTerm(p, 131789, 163843, 1, 67, 6, r); 972 specialPlusTerm(p, 154735, 735031, 1, 66, 6, r); 973 specialPlusTerm(p, 180110, 340164, 1, 65, 6, r); 974 specialPlusTerm(p, 207863, 78032, 1, 64, 6, r); 975 specialPlusTerm(p, 237878, 436148, 1, 63, 6, r); 976 specialPlusTerm(p, 269969, 780853, 1, 62, 6, r); 977 specialPlusTerm(p, 303875, 847919, 1, 61, 6, r); 978 specialPlusTerm(p, 339259, 643405, 1, 60, 6, r); 979 specialPlusTerm(p, 375710, 91709, 1, 59, 6, r); 980 specialPlusTerm(p, 412746, 667621, 1, 58, 6, r); 981 specialPlusTerm(p, 449827, 124838, 1, 57, 6, r); 982 specialPlusTerm(p, 486358, 289884, 1, 56, 6, r); 983 specialPlusTerm(p, 521709, 734617, 1, 55, 6, r); 984 specialPlusTerm(p, 555229, 980825, 1, 54, 6, r); 985 specialPlusTerm(p, 586264, 736452, 1, 53, 6, r); 986 specialPlusTerm(p, 614176, 524327, 1, 52, 6, r); 987 specialPlusTerm(p, 638364, 950461, 1, 51, 6, r); 988 specialPlusTerm(p, 658286, 778382, 1, 50, 6, r); 989 specialPlusTerm(p, 673474, 935703, 1, 49, 6, r); 990 specialPlusTerm(p, 683555, 584035, 1, 48, 6, r); 991 specialPlusTerm(p, 688262, 435939, 1, 47, 6, r); 992 specialPlusTerm(p, 687447, 601958, 1, 46, 6, r); 993 specialPlusTerm(p, 681088, 393321, 1, 45, 6, r); 994 specialPlusTerm(p, 669289, 685002, 1, 44, 6, r); 995 specialPlusTerm(p, 652281, 650056, 1, 43, 6, r); 996 specialPlusTerm(p, 630412, 897910, 1, 42, 6, r); 997 specialPlusTerm(p, 604139, 273828, 1, 41, 6, r); 998 specialPlusTerm(p, 574008, 790372, 1, 40, 6, r); 999 specialPlusTerm(p, 540643, 351434, 1, 39, 6, r); 1000 specialPlusTerm(p, 504718, 83850, 1, 38, 6, r); 1001 specialPlusTerm(p, 466939, 201686, 1, 37, 6, r); 1002 specialPlusTerm(p, 428021, 387818, 1, 36, 6, r); 1003 specialPlusTerm(p, 388665, 682772, 1, 35, 6, r); 1004 specialPlusTerm(p, 349538, 822179, 1, 34, 6, r); 1005 specialPlusTerm(p, 311254, 865006, 1, 33, 6, r); 1006 specialPlusTerm(p, 274359, 811613, 1, 32, 6, r); 1007 specialPlusTerm(p, 239319, 732987, 1, 31, 6, r); 1008 specialPlusTerm(p, 206512, 732148, 1, 30, 6, r); 1009 specialPlusTerm(p, 176224, 848533, 1, 29, 6, r); 1010 specialPlusTerm(p, 148649, 810169, 1, 28, 6, r); 1011 specialPlusTerm(p, 123892, 349306, 1, 27, 6, r); 1012 specialPlusTerm(p, 101974, 636229, 1, 26, 6, r); 1013 specialPlusTerm(p, 82845, 261439, 1, 25, 6, r); 1014 specialPlusTerm(p, 66390, 113996, 1, 24, 6, r); 1015 specialPlusTerm(p, 52444, 464455, 1, 23, 6, r); 1016 specialPlusTerm(p, 40805, 563557, 1, 22, 6, r); 1017 specialPlusTerm(p, 31245, 109466, 1, 21, 6, r); 1018 specialPlusTerm(p, 23521, 11382, 1, 20, 6, r); 1019 specialPlusTerm(p, 17387, 978784, 1, 19, 6, r); 1020 specialPlusTerm(p, 12606, 585145, 1, 18, 6, r); 1021 specialPlusTerm(p, 8950, 583389, 1, 17, 6, r); 1022 specialPlusTerm(p, 6212, 378502, 1, 16, 6, r); 1023 specialPlusTerm(p, 4206, 681655, 1, 15, 6, r); 1024 specialPlusTerm(p, 2772, 472065, 1, 14, 6, r); 1025 specialPlusTerm(p, 1773, 471986, 1, 13, 6, r); 1026 specialPlusTerm(p, 1097, 393517, 1, 12, 6, r); 1027 specialPlusTerm(p, 654, 242447, 1, 11, 6, r); 1028 specialPlusTerm(p, 373, 966384, 1, 10, 6, r); 1029 specialPlusTerm(p, 203, 716799, 1, 9, 6, r); 1030 specialPlusTerm(p, 104, 963287, 1, 8, 6, r); 1031 specialPlusTerm(p, 50, 659180, 1, 7, 6, r); 1032 specialPlusTerm(p, 22, 613305, 1, 6, 6, r); 1033 specialPlusTerm(p, 9, 176167, 1, 5, 6, r); 1034 specialPlusTerm(p, 3, 303300, 1, 4, 6, r); 1035 specialPlusTerm(p, 1, 17016, 1, 3, 6, r); 1036 specialPlusTerm(p, 0, 252252, 1, 2, 6, r); 1037 specialPlusTerm(p, 0, 45045, 1, 1, 6, r); 1038 specialPlusTerm(p, 0, 4368, 1, 0, 6, r); 1039 specialPlusTerm(p, 0, 1, 1, 114, 5, r); 1040 specialPlusTerm(p, 0, 13, 1, 113, 5, r); 1041 specialPlusTerm(p, 0, 92, 1, 112, 5, r); 1042 specialPlusTerm(p, 0, 469, 1, 111, 5, r); 1043 specialPlusTerm(p, 0, 1926, 1, 110, 5, r); 1044 specialPlusTerm(p, 0, 6756, 1, 109, 5, r); 1045 specialPlusTerm(p, 0, 20972, 1, 108, 5, r); 1046 specialPlusTerm(p, 0, 58978, 1, 107, 5, r); 1047 specialPlusTerm(p, 0, 152775, 1, 106, 5, r); 1048 specialPlusTerm(p, 0, 369050, 1, 105, 5, r); 1049 specialPlusTerm(p, 0, 839288, 1, 104, 5, r); 1050 specialPlusTerm(p, 1, 810449, 1, 103, 5, r); 1051 specialPlusTerm(p, 3, 726832, 1, 102, 5, r); 1052 specialPlusTerm(p, 7, 357527, 1, 101, 5, r); 1053 specialPlusTerm(p, 13, 988283, 1, 100, 5, r); 1054 specialPlusTerm(p, 25, 701547, 1, 99, 5, r); 1055 specialPlusTerm(p, 45, 773588, 1, 98, 5, r); 1056 specialPlusTerm(p, 79, 222619, 1, 97, 5, r); 1057 specialPlusTerm(p, 133, 546121, 1, 96, 5, r); 1058 specialPlusTerm(p, 219, 688458, 1, 95, 5, r); 1059 specialPlusTerm(p, 353, 280515, 1, 94, 5, r); 1060 specialPlusTerm(p, 556, 190572, 1, 93, 5, r); 1061 specialPlusTerm(p, 858, 418990, 1, 92, 5, r); 1062 specialPlusTerm(p, 1300, 357646, 1, 91, 5, r); 1063 specialPlusTerm(p, 1935, 417677, 1, 90, 5, r); 1064 specialPlusTerm(p, 2833, 5498, 1, 89, 5, r); 1065 specialPlusTerm(p, 4081, 797160, 1, 88, 5, r); 1066 specialPlusTerm(p, 5793, 225338, 1, 87, 5, r); 1067 specialPlusTerm(p, 8105, 52608, 1, 86, 5, r); 1068 specialPlusTerm(p, 11184, 860904, 1, 85, 5, r); 1069 specialPlusTerm(p, 15233, 242543, 1, 84, 5, r); 1070 specialPlusTerm(p, 20486, 436025, 1, 83, 5, r); 1071 specialPlusTerm(p, 27218, 113560, 1, 82, 5, r); 1072 specialPlusTerm(p, 35740, 941, 1, 81, 5, r); 1073 specialPlusTerm(p, 46400, 998184, 1, 80, 5, r); 1074 specialPlusTerm(p, 59584, 475380, 1, 79, 5, r); 1075 specialPlusTerm(p, 75703, 446044, 1, 78, 5, r); 1076 specialPlusTerm(p, 95193, 372588, 1, 77, 5, r); 1077 specialPlusTerm(p, 118502, 436837, 1, 76, 5, r); 1078 specialPlusTerm(p, 146079, 212557, 1, 75, 5, r); 1079 specialPlusTerm(p, 178357, 804753, 1, 74, 5, r); 1080 specialPlusTerm(p, 215740, 667987, 1, 73, 5, r); 1081 specialPlusTerm(p, 258579, 477117, 1, 72, 5, r); 1082 specialPlusTerm(p, 307154, 590636, 1, 71, 5, r); 1083 specialPlusTerm(p, 361653, 809467, 1, 70, 5, r); 1084 specialPlusTerm(p, 422151, 281668, 1, 69, 5, r); 1085 specialPlusTerm(p, 488587, 524562, 1, 68, 5, r); 1086 specialPlusTerm(p, 560751, 619043, 1, 67, 5, r); 1087 specialPlusTerm(p, 638266, 666013, 1, 66, 5, r); 1088 specialPlusTerm(p, 720579, 573693, 1, 65, 5, r); 1089 specialPlusTerm(p, 806956, 161270, 1, 64, 5, r); 1090 specialPlusTerm(p, 896482, 416756, 1, 63, 5, r); 1091 specialPlusTerm(p, 988072, 536828, 1, 62, 5, r); 1092 specialPlusTerm(p, 1080484, 109735, 1, 61, 5, r); 1093 specialPlusTerm(p, 1172340, 489345, 1, 60, 5, r); 1094 specialPlusTerm(p, 1262160, 63390, 1, 59, 5, r); 1095 specialPlusTerm(p, 1348391, 759522, 1, 58, 5, r); 1096 specialPlusTerm(p, 1429455, 778912, 1, 57, 5, r); 1097 specialPlusTerm(p, 1503788, 220123, 1, 56, 5, r); 1098 specialPlusTerm(p, 1569887, 977111, 1, 55, 5, r); 1099 specialPlusTerm(p, 1626364, 84113, 1, 54, 5, r); 1100 specialPlusTerm(p, 1671981, 553512, 1, 53, 5, r); 1101 specialPlusTerm(p, 1705703, 722632, 1, 52, 5, r); 1102 specialPlusTerm(p, 1726729, 198623, 1, 51, 5, r); 1103 specialPlusTerm(p, 1734521, 667786, 1, 50, 5, r); 1104 specialPlusTerm(p, 1728831, 111168, 1, 49, 5, r); 1105 specialPlusTerm(p, 1709705, 329909, 1, 48, 5, r); 1106 specialPlusTerm(p, 1677491, 113716, 1, 47, 5, r); 1107 specialPlusTerm(p, 1632824, 861010, 1, 46, 5, r); 1108 specialPlusTerm(p, 1576612, 953462, 1, 45, 5, r); 1109 specialPlusTerm(p, 1510002, 672602, 1, 44, 5, r); 1110 specialPlusTerm(p, 1434344, 893769, 1, 43, 5, r); 1111 specialPlusTerm(p, 1351150, 176624, 1, 42, 5, r); 1112 specialPlusTerm(p, 1262040, 169393, 1, 41, 5, r); 1113 specialPlusTerm(p, 1168696, 438727, 1, 40, 5, r); 1114 specialPlusTerm(p, 1072808, 918138, 1, 39, 5, r); 1115 specialPlusTerm(p, 976026, 132162, 1, 38, 5, r); 1116 specialPlusTerm(p, 879909, 204828, 1, 37, 5, r); 1117 specialPlusTerm(p, 785891, 410576, 1, 36, 5, r); 1118 specialPlusTerm(p, 695244, 690346, 1, 35, 5, r); 1119 specialPlusTerm(p, 609054, 157073, 1, 34, 5, r); 1120 specialPlusTerm(p, 528201, 178547, 1, 33, 5, r); 1121 specialPlusTerm(p, 453355, 178523, 1, 32, 5, r); 1122 specialPlusTerm(p, 384973, 865967, 1, 31, 5, r); 1123 specialPlusTerm(p, 323311, 212357, 1, 30, 5, r); 1124 specialPlusTerm(p, 268432, 169189, 1, 29, 5, r); 1125 specialPlusTerm(p, 220232, 868421, 1, 28, 5, r); 1126 specialPlusTerm(p, 178464, 887323, 1, 27, 5, r); 1127 specialPlusTerm(p, 142762, 89447, 1, 26, 5, r); 1128 specialPlusTerm(p, 112668, 572043, 1, 25, 5, r); 1129 specialPlusTerm(p, 87666, 348585, 1, 24, 5, r); 1130 specialPlusTerm(p, 67201, 559745, 1, 23, 5, r); 1131 specialPlusTerm(p, 50708, 221257, 1, 22, 5, r); 1132 specialPlusTerm(p, 37628, 764983, 1, 21, 5, r); 1133 specialPlusTerm(p, 27430, 891847, 1, 20, 5, r); 1134 specialPlusTerm(p, 19620, 514504, 1, 19, 5, r); 1135 specialPlusTerm(p, 13750, 807706, 1, 18, 5, r); 1136 specialPlusTerm(p, 9427, 591898, 1, 17, 5, r); 1137 specialPlusTerm(p, 6311, 440762, 1, 16, 5, r); 1138 specialPlusTerm(p, 4117, 20228, 1, 15, 5, r); 1139 specialPlusTerm(p, 2610, 233212, 1, 14, 5, r); 1140 specialPlusTerm(p, 1603, 763552, 1, 13, 5, r); 1141 specialPlusTerm(p, 951, 590329, 1, 12, 5, r); 1142 specialPlusTerm(p, 542, 988511, 1, 11, 5, r); 1143 specialPlusTerm(p, 296, 453834, 1, 10, 5, r); 1144 specialPlusTerm(p, 153, 899291, 1, 9, 5, r); 1145 specialPlusTerm(p, 75, 376496, 1, 8, 5, r); 1146 specialPlusTerm(p, 34, 484437, 1, 7, 5, r); 1147 specialPlusTerm(p, 14, 545453, 1, 6, 5, r); 1148 specialPlusTerm(p, 5, 557552, 1, 5, 5, r); 1149 specialPlusTerm(p, 1, 876238, 1, 4, 5, r); 1150 specialPlusTerm(p, 0, 539266, 1, 3, 5, r); 1151 specialPlusTerm(p, 0, 124215, 1, 2, 5, r); 1152 specialPlusTerm(p, 0, 20475, 1, 1, 5, r); 1153 specialPlusTerm(p, 0, 1820, 1, 0, 5, r); 1154 specialPlusTerm(p, 0, 1, 1, 117, 4, r); 1155 specialPlusTerm(p, 0, 14, 1, 116, 4, r); 1156 specialPlusTerm(p, 0, 106, 1, 115, 4, r); 1157 specialPlusTerm(p, 0, 575, 1, 114, 4, r); 1158 specialPlusTerm(p, 0, 2496, 1, 113, 4, r); 1159 specialPlusTerm(p, 0, 9192, 1, 112, 4, r); 1160 specialPlusTerm(p, 0, 29769, 1, 111, 4, r); 1161 specialPlusTerm(p, 0, 86862, 1, 110, 4, r); 1162 specialPlusTerm(p, 0, 232352, 1, 109, 4, r); 1163 specialPlusTerm(p, 0, 577237, 1, 108, 4, r); 1164 specialPlusTerm(p, 1, 345280, 1, 107, 4, r); 1165 specialPlusTerm(p, 2, 964694, 1, 106, 4, r); 1166 specialPlusTerm(p, 6, 218071, 1, 105, 4, r); 1167 specialPlusTerm(p, 12, 478024, 1, 104, 4, r); 1168 specialPlusTerm(p, 24, 64445, 1, 103, 4, r); 1169 specialPlusTerm(p, 44, 768554, 1, 102, 4, r); 1170 specialPlusTerm(p, 80, 598456, 1, 101, 4, r); 1171 specialPlusTerm(p, 140, 809905, 1, 100, 4, r); 1172 specialPlusTerm(p, 239, 293294, 1, 99, 4, r); 1173 specialPlusTerm(p, 396, 392192, 1, 98, 4, r); 1174 specialPlusTerm(p, 641, 228471, 1, 97, 4, r); 1175 specialPlusTerm(p, 1014, 602512, 1, 96, 4, r); 1176 specialPlusTerm(p, 1572, 522451, 1, 95, 4, r); 1177 specialPlusTerm(p, 2390, 392393, 1, 94, 4, r); 1178 specialPlusTerm(p, 3567, 854826, 1, 93, 4, r); 1179 specialPlusTerm(p, 5234, 236531, 1, 92, 4, r); 1180 specialPlusTerm(p, 7554, 490334, 1, 91, 4, r); 1181 specialPlusTerm(p, 10735, 458285, 1, 90, 4, r); 1182 specialPlusTerm(p, 15032, 207608, 1, 89, 4, r); 1183 specialPlusTerm(p, 20754, 112592, 1, 88, 4, r); 1184 specialPlusTerm(p, 28270, 278236, 1, 87, 4, r); 1185 specialPlusTerm(p, 38013, 830749, 1, 86, 4, r); 1186 specialPlusTerm(p, 50484, 542623, 1, 85, 4, r); 1187 specialPlusTerm(p, 66249, 223101, 1, 84, 4, r); 1188 specialPlusTerm(p, 85939, 295631, 1, 83, 4, r); 1189 specialPlusTerm(p, 110245, 8968, 1, 82, 4, r); 1190 specialPlusTerm(p, 139905, 793448, 1, 81, 4, r); 1191 specialPlusTerm(p, 175696, 382307, 1, 80, 4, r); 1192 specialPlusTerm(p, 218408, 471011, 1, 79, 4, r); 1193 specialPlusTerm(p, 268827, 883672, 1, 78, 4, r); 1194 specialPlusTerm(p, 327707, 449671, 1, 77, 4, r); 1195 specialPlusTerm(p, 395736, 57018, 1, 76, 4, r); 1196 specialPlusTerm(p, 473504, 629765, 1, 75, 4, r); 1197 specialPlusTerm(p, 561470, 59952, 1, 74, 4, r); 1198 specialPlusTerm(p, 659918, 392736, 1, 73, 4, r); 1199 specialPlusTerm(p, 768928, 797683, 1, 72, 4, r); 1200 specialPlusTerm(p, 888340, 40490, 1, 71, 4, r); 1201 specialPlusTerm(p, 1017721, 279436, 1, 70, 4, r); 1202 specialPlusTerm(p, 1156349, 33848, 1, 69, 4, r); 1203 specialPlusTerm(p, 1303192, 95883, 1, 68, 4, r); 1204 specialPlusTerm(p, 1456905, 975122, 1, 67, 4, r); 1205 specialPlusTerm(p, 1615838, 177110, 1, 66, 4, r); 1206 specialPlusTerm(p, 1778045, 228075, 1, 65, 4, r); 1207 specialPlusTerm(p, 1941321, 881690, 1, 64, 4, r); 1208 specialPlusTerm(p, 2103242, 399767, 1, 63, 4, r); 1209 specialPlusTerm(p, 2261213, 213104, 1, 62, 4, r); 1210 specialPlusTerm(p, 2412535, 672007, 1, 61, 4, r); 1211 specialPlusTerm(p, 2554477, 22053, 1, 60, 4, r); 1212 specialPlusTerm(p, 2684347, 224260, 1, 59, 4, r); 1213 specialPlusTerm(p, 2799578, 813532, 1, 58, 4, r); 1214 specialPlusTerm(p, 2897806, 685056, 1, 57, 4, r); 1215 specialPlusTerm(p, 2976944, 539523, 1, 56, 4, r); 1216 specialPlusTerm(p, 3035254, 721183, 1, 55, 4, r); 1217 specialPlusTerm(p, 3071408, 355156, 1, 54, 4, r); 1218 specialPlusTerm(p, 3084533, 29299, 1, 53, 4, r); 1219 specialPlusTerm(p, 3074245, 758101, 1, 52, 4, r); 1220 specialPlusTerm(p, 3040669, 588583, 1, 51, 4, r); 1221 specialPlusTerm(p, 2984432, 929416, 1, 50, 4, r); 1222 specialPlusTerm(p, 2906651, 466023, 1, 49, 4, r); 1223 specialPlusTerm(p, 2808893, 323361, 1, 48, 4, r); 1224 specialPlusTerm(p, 2693128, 909640, 1, 47, 4, r); 1225 specialPlusTerm(p, 2561667, 574760, 1, 46, 4, r); 1226 specialPlusTerm(p, 2417083, 807115, 1, 45, 4, r); 1227 specialPlusTerm(p, 2262136, 138608, 1, 44, 4, r); 1228 specialPlusTerm(p, 2099682, 206060, 1, 43, 4, r); 1229 specialPlusTerm(p, 1932593, 513922, 1, 42, 4, r); 1230 specialPlusTerm(p, 1763673, 355846, 1, 41, 4, r); 1231 specialPlusTerm(p, 1595581, 90061, 1, 40, 4, r); 1232 specialPlusTerm(p, 1430765, 545095, 1, 39, 4, r); 1233 specialPlusTerm(p, 1271409, 786637, 1, 38, 4, r); 1234 specialPlusTerm(p, 1119388, 838595, 1, 37, 4, r); 1235 specialPlusTerm(p, 976241, 261398, 1, 36, 4, r); 1236 specialPlusTerm(p, 843154, 789753, 1, 35, 4, r); 1237 specialPlusTerm(p, 720965, 560845, 1, 34, 4, r); 1238 specialPlusTerm(p, 610169, 859179, 1, 33, 4, r); 1239 specialPlusTerm(p, 510946, 796821, 1, 32, 4, r); 1240 specialPlusTerm(p, 423189, 960892, 1, 31, 4, r); 1241 specialPlusTerm(p, 346545, 808032, 1, 30, 4, r); 1242 specialPlusTerm(p, 280456, 472902, 1, 29, 4, r); 1243 specialPlusTerm(p, 224204, 680080, 1, 28, 4, r); 1244 specialPlusTerm(p, 176958, 593014, 1, 27, 4, r); 1245 specialPlusTerm(p, 137814, 680334, 1, 26, 4, r); 1246 specialPlusTerm(p, 105837, 4252, 1, 25, 4, r); 1247 specialPlusTerm(p, 80091, 710806, 1, 24, 4, r); 1248 specialPlusTerm(p, 59675, 899582, 1, 23, 4, r); 1249 specialPlusTerm(p, 43740, 445029, 1, 22, 4, r); 1250 specialPlusTerm(p, 31506, 709211, 1, 21, 4, r); 1251 specialPlusTerm(p, 22277, 407599, 1, 20, 4, r); 1252 specialPlusTerm(p, 15442, 151129, 1, 19, 4, r); 1253 specialPlusTerm(p, 10478, 380611, 1, 18, 4, r); 1254 specialPlusTerm(p, 6948, 530664, 1, 17, 4, r); 1255 specialPlusTerm(p, 4494, 312038, 1, 16, 4, r); 1256 specialPlusTerm(p, 2828, 990461, 1, 15, 4, r); 1257 specialPlusTerm(p, 1728, 477668, 1, 14, 4, r); 1258 specialPlusTerm(p, 1021, 949004, 1, 13, 4, r); 1259 specialPlusTerm(p, 582, 575810, 1, 12, 4, r); 1260 specialPlusTerm(p, 318, 823114, 1, 11, 4, r); 1261 specialPlusTerm(p, 166, 625848, 1, 10, 4, r); 1262 specialPlusTerm(p, 82, 629352, 1, 9, 4, r); 1263 specialPlusTerm(p, 38, 568972, 1, 8, 4, r); 1264 specialPlusTerm(p, 16, 773120, 1, 7, 4, r); 1265 specialPlusTerm(p, 6, 706050, 1, 6, 4, r); 1266 specialPlusTerm(p, 2, 420964, 1, 5, 4, r); 1267 specialPlusTerm(p, 0, 769496, 1, 4, 4, r); 1268 specialPlusTerm(p, 0, 207389, 1, 3, 4, r); 1269 specialPlusTerm(p, 0, 44590, 1, 2, 4, r); 1270 specialPlusTerm(p, 0, 6825, 1, 1, 4, r); 1271 specialPlusTerm(p, 0, 560, 1, 0, 4, r); 1272 specialPlusTerm(p, 0, 1, 1, 119, 3, r); 1273 specialPlusTerm(p, 0, 15, 1, 118, 3, r); 1274 specialPlusTerm(p, 0, 121, 1, 117, 3, r); 1275 specialPlusTerm(p, 0, 692, 1, 116, 3, r); 1276 specialPlusTerm(p, 0, 3136, 1, 115, 3, r); 1277 specialPlusTerm(p, 0, 11960, 1, 114, 3, r); 1278 specialPlusTerm(p, 0, 39853, 1, 113, 3, r); 1279 specialPlusTerm(p, 0, 119021, 1, 112, 3, r); 1280 specialPlusTerm(p, 0, 324469, 1, 111, 3, r); 1281 specialPlusTerm(p, 0, 818608, 1, 110, 3, r); 1282 specialPlusTerm(p, 1, 931746, 1, 109, 3, r); 1283 specialPlusTerm(p, 4, 299910, 1, 108, 3, r); 1284 specialPlusTerm(p, 9, 90121, 1, 107, 3, r); 1285 specialPlusTerm(p, 18, 353593, 1, 106, 3, r); 1286 specialPlusTerm(p, 35, 558983, 1, 105, 3, r); 1287 specialPlusTerm(p, 66, 370113, 1, 104, 3, r); 1288 specialPlusTerm(p, 119, 744513, 1, 103, 3, r); 1289 specialPlusTerm(p, 209, 439344, 1, 102, 3, r); 1290 specialPlusTerm(p, 356, 18067, 1, 101, 3, r); 1291 specialPlusTerm(p, 589, 452669, 1, 100, 3, r); 1292 specialPlusTerm(p, 952, 410212, 1, 99, 3, r); 1293 specialPlusTerm(p, 1504, 296795, 1, 98, 3, r); 1294 specialPlusTerm(p, 2326, 104760, 1, 97, 3, r); 1295 specialPlusTerm(p, 3526, 68612, 1, 96, 3, r); 1296 specialPlusTerm(p, 5246, 80850, 1, 95, 3, r); 1297 specialPlusTerm(p, 7668, 750896, 1, 94, 3, r); 1298 specialPlusTerm(p, 11024, 909967, 1, 93, 3, r); 1299 specialPlusTerm(p, 15601, 274876, 1, 92, 3, r); 1300 specialPlusTerm(p, 21747, 888690, 1, 91, 3, r); 1301 specialPlusTerm(p, 29884, 861708, 1, 90, 3, r); 1302 specialPlusTerm(p, 40507, 849459, 1, 89, 3, r); 1303 specialPlusTerm(p, 54191, 633482, 1, 88, 3, r); 1304 specialPlusTerm(p, 71591, 124221, 1, 87, 3, r); 1305 specialPlusTerm(p, 93439, 92109, 1, 86, 3, r); 1306 specialPlusTerm(p, 120539, 960778, 1, 85, 3, r); 1307 specialPlusTerm(p, 153759, 71799, 1, 84, 3, r); 1308 specialPlusTerm(p, 194006, 957680, 1, 83, 3, r); 1309 specialPlusTerm(p, 242218, 340335, 1, 82, 3, r); 1310 specialPlusTerm(p, 299325, 803637, 1, 81, 3, r); 1311 specialPlusTerm(p, 366228, 364763, 1, 80, 3, r); 1312 specialPlusTerm(p, 443755, 479465, 1, 79, 3, r); 1313 specialPlusTerm(p, 532627, 346793, 1, 78, 3, r); 1314 specialPlusTerm(p, 633412, 711280, 1, 77, 3, r); 1315 specialPlusTerm(p, 746485, 674616, 1, 76, 3, r); 1316 specialPlusTerm(p, 871983, 302274, 1, 75, 3, r); 1317 specialPlusTerm(p, 1009766, 21123, 1, 74, 3, r); 1318 specialPlusTerm(p, 1159382, 930867, 1, 73, 3, r); 1319 specialPlusTerm(p, 1320044, 177277, 1, 72, 3, r); 1320 specialPlusTerm(p, 1490602, 445312, 1, 71, 3, r); 1321 specialPlusTerm(p, 1669545, 418046, 1, 70, 3, r); 1322 specialPlusTerm(p, 1855000, 712658, 1, 69, 3, r); 1323 specialPlusTerm(p, 2044754, 355265, 1, 68, 3, r); 1324 specialPlusTerm(p, 2236283, 307760, 1, 67, 3, r); 1325 specialPlusTerm(p, 2426801, 935374, 1, 66, 3, r); 1326 specialPlusTerm(p, 2613321, 633418, 1, 65, 3, r); 1327 specialPlusTerm(p, 2792722, 150781, 1, 64, 3, r); 1328 specialPlusTerm(p, 2961832, 494671, 1, 63, 3, r); 1329 specialPlusTerm(p, 3117518, 715055, 1, 62, 3, r); 1330 specialPlusTerm(p, 3256775, 385842, 1, 61, 3, r); 1331 specialPlusTerm(p, 3376817, 256340, 1, 60, 3, r); 1332 specialPlusTerm(p, 3475167, 367466, 1, 59, 3, r); 1333 specialPlusTerm(p, 3549737, 930366, 1, 58, 3, r); 1334 specialPlusTerm(p, 3598900, 457938, 1, 57, 3, r); 1335 specialPlusTerm(p, 3621542, 18424, 1, 56, 3, r); 1336 specialPlusTerm(p, 3617105, 29495, 1, 55, 3, r); 1337 specialPlusTerm(p, 3585608, 705050, 1, 54, 3, r); 1338 specialPlusTerm(p, 3527651, 69853, 1, 53, 3, r); 1339 specialPlusTerm(p, 3444391, 326416, 1, 52, 3, r); 1340 specialPlusTerm(p, 3337513, 246817, 1, 51, 3, r); 1341 specialPlusTerm(p, 3209171, 120352, 1, 50, 3, r); 1342 specialPlusTerm(p, 3061920, 568442, 1, 49, 3, r); 1343 specialPlusTerm(p, 2898637, 197953, 1, 48, 3, r); 1344 specialPlusTerm(p, 2722426, 567254, 1, 47, 3, r); 1345 specialPlusTerm(p, 2536529, 259766, 1, 46, 3, r); 1346 specialPlusTerm(p, 2344224, 982535, 1, 45, 3, r); 1347 specialPlusTerm(p, 2148739, 529673, 1, 44, 3, r); 1348 specialPlusTerm(p, 1953158, 181630, 1, 43, 3, r); 1349 specialPlusTerm(p, 1760348, 671733, 1, 42, 3, r); 1350 specialPlusTerm(p, 1572896, 271477, 1, 41, 3, r); 1351 specialPlusTerm(p, 1393052, 863345, 1, 40, 3, r); 1352 specialPlusTerm(p, 1222701, 126910, 1, 39, 3, r); 1353 specialPlusTerm(p, 1063334, 204889, 1, 38, 3, r); 1354 specialPlusTerm(p, 916050, 483828, 1, 37, 3, r); 1355 specialPlusTerm(p, 781562, 458519, 1, 36, 3, r); 1356 specialPlusTerm(p, 660218, 83241, 1, 35, 3, r); 1357 specialPlusTerm(p, 552032, 571637, 1, 34, 3, r); 1358 specialPlusTerm(p, 456728, 306449, 1, 33, 3, r); 1359 specialPlusTerm(p, 373780, 366678, 1, 32, 3, r); 1360 specialPlusTerm(p, 302465, 169735, 1, 31, 3, r); 1361 specialPlusTerm(p, 241909, 847846, 1, 30, 3, r); 1362 specialPlusTerm(p, 191140, 212177, 1, 29, 3, r); 1363 specialPlusTerm(p, 149125, 480301, 1, 28, 3, r); 1364 specialPlusTerm(p, 114818, 324960, 1, 27, 3, r); 1365 specialPlusTerm(p, 87189, 215772, 1, 26, 3, r); 1366 specialPlusTerm(p, 65254, 442815, 1, 25, 3, r); 1367 specialPlusTerm(p, 48097, 606920, 1, 24, 3, r); 1368 specialPlusTerm(p, 34884, 715247, 1, 23, 3, r); 1369 specialPlusTerm(p, 24873, 316659, 1, 22, 3, r); 1370 specialPlusTerm(p, 17416, 339482, 1, 21, 3, r); 1371 specialPlusTerm(p, 11961, 450014, 1, 20, 3, r); 1372 specialPlusTerm(p, 8046, 834503, 1, 19, 3, r); 1373 specialPlusTerm(p, 5294, 325768, 1, 18, 3, r); 1374 specialPlusTerm(p, 3400, 757398, 1, 17, 3, r); 1375 specialPlusTerm(p, 2128, 345318, 1, 16, 3, r); 1376 specialPlusTerm(p, 1294, 781596, 1, 15, 3, r); 1377 specialPlusTerm(p, 763, 591975, 1, 14, 3, r); 1378 specialPlusTerm(p, 435, 169111, 1, 13, 3, r); 1379 specialPlusTerm(p, 238, 758463, 1, 12, 3, r); 1380 specialPlusTerm(p, 125, 551459, 1, 11, 3, r); 1381 specialPlusTerm(p, 62, 936621, 1, 10, 3, r); 1382 specialPlusTerm(p, 29, 876893, 1, 9, 3, r); 1383 specialPlusTerm(p, 13, 321355, 1, 8, 3, r); 1384 specialPlusTerm(p, 5, 520901, 1, 7, 3, r); 1385 specialPlusTerm(p, 2, 98067, 1, 6, 3, r); 1386 specialPlusTerm(p, 0, 717871, 1, 5, 3, r); 1387 specialPlusTerm(p, 0, 215565, 1, 4, 3, r); 1388 specialPlusTerm(p, 0, 54691, 1, 3, 3, r); 1389 specialPlusTerm(p, 0, 11025, 1, 2, 3, r); 1390 specialPlusTerm(p, 0, 1575, 1, 1, 3, r); 1391 specialPlusTerm(p, 0, 120, 1, 0, 3, r); 1392 specialPlusTerm(p, 0, 1, 1, 120, 2, r); 1393 specialPlusTerm(p, 0, 16, 1, 119, 2, r); 1394 specialPlusTerm(p, 0, 134, 1, 118, 2, r); 1395 specialPlusTerm(p, 0, 784, 1, 117, 2, r); 1396 specialPlusTerm(p, 0, 3602, 1, 116, 2, r); 1397 specialPlusTerm(p, 0, 13843, 1, 115, 2, r); 1398 specialPlusTerm(p, 0, 46286, 1, 114, 2, r); 1399 specialPlusTerm(p, 0, 138283, 1, 113, 2, r); 1400 specialPlusTerm(p, 0, 376259, 1, 112, 2, r); 1401 specialPlusTerm(p, 0, 945827, 1, 111, 2, r); 1402 specialPlusTerm(p, 2, 220933, 1, 110, 2, r); 1403 specialPlusTerm(p, 4, 914174, 1, 109, 2, r); 1404 specialPlusTerm(p, 10, 318553, 1, 108, 2, r); 1405 specialPlusTerm(p, 20, 680144, 1, 107, 2, r); 1406 specialPlusTerm(p, 39, 750869, 1, 106, 2, r); 1407 specialPlusTerm(p, 73, 579984, 1, 105, 2, r); 1408 specialPlusTerm(p, 131, 610793, 1, 104, 2, r); 1409 specialPlusTerm(p, 228, 154162, 1, 103, 2, r); 1410 specialPlusTerm(p, 384, 310996, 1, 102, 2, r); 1411 specialPlusTerm(p, 630, 410278, 1, 101, 2, r); 1412 specialPlusTerm(p, 1009, 15895, 1, 100, 2, r); 1413 specialPlusTerm(p, 1578, 532849, 1, 99, 2, r); 1414 specialPlusTerm(p, 2417, 410542, 1, 98, 2, r); 1415 specialPlusTerm(p, 3628, 897233, 1, 97, 2, r); 1416 specialPlusTerm(p, 5346, 245930, 1, 96, 2, r); 1417 specialPlusTerm(p, 7738, 209354, 1, 95, 2, r); 1418 specialPlusTerm(p, 11014, 592780, 1, 94, 2, r); 1419 specialPlusTerm(p, 15431, 562271, 1, 93, 2, r); 1420 specialPlusTerm(p, 21296, 336917, 1, 92, 2, r); 1421 specialPlusTerm(p, 28970, 832923, 1, 91, 2, r); 1422 specialPlusTerm(p, 38873, 781118, 1, 90, 2, r); 1423 specialPlusTerm(p, 51480, 814244, 1, 89, 2, r); 1424 specialPlusTerm(p, 67322, 22502, 1, 88, 2, r); 1425 specialPlusTerm(p, 86976, 510707, 1, 87, 2, r); 1426 specialPlusTerm(p, 111063, 562039, 1, 86, 2, r); 1427 specialPlusTerm(p, 140230, 123797, 1, 85, 2, r); 1428 specialPlusTerm(p, 175134, 479331, 1, 84, 2, r); 1429 specialPlusTerm(p, 216426, 154185, 1, 83, 2, r); 1430 specialPlusTerm(p, 264722, 317163, 1, 82, 2, r); 1431 specialPlusTerm(p, 320581, 169273, 1, 81, 2, r); 1432 specialPlusTerm(p, 384473, 53329, 1, 80, 2, r); 1433 specialPlusTerm(p, 456750, 250207, 1, 79, 2, r); 1434 specialPlusTerm(p, 537616, 638714, 1, 78, 2, r); 1435 specialPlusTerm(p, 627098, 568602, 1, 77, 2, r); 1436 specialPlusTerm(p, 725018, 414915, 1, 76, 2, r); 1437 specialPlusTerm(p, 830972, 332853, 1, 75, 2, r); 1438 specialPlusTerm(p, 944313, 704873, 1, 74, 2, r); 1439 specialPlusTerm(p, 1064143, 659019, 1, 73, 2, r); 1440 specialPlusTerm(p, 1189309, 837532, 1, 72, 2, r); 1441 specialPlusTerm(p, 1318414, 311129, 1, 71, 2, r); 1442 specialPlusTerm(p, 1449831, 176128, 1, 70, 2, r); 1443 specialPlusTerm(p, 1581733, 953526, 1, 69, 2, r); 1444 specialPlusTerm(p, 1712132, 450851, 1, 68, 2, r); 1445 specialPlusTerm(p, 1838918, 272730, 1, 67, 2, r); 1446 specialPlusTerm(p, 1959917, 700931, 1, 66, 2, r); 1447 specialPlusTerm(p, 2072950, 236513, 1, 65, 2, r); 1448 specialPlusTerm(p, 2175890, 732337, 1, 64, 2, r); 1449 specialPlusTerm(p, 2266732, 767744, 1, 63, 2, r); 1450 specialPlusTerm(p, 2343650, 748669, 1, 62, 2, r); 1451 specialPlusTerm(p, 2405058, 170088, 1, 61, 2, r); 1452 specialPlusTerm(p, 2449659, 560856, 1, 60, 2, r); 1453 specialPlusTerm(p, 2476493, 843437, 1, 59, 2, r); 1454 specialPlusTerm(p, 2484967, 174656, 1, 58, 2, r); 1455 specialPlusTerm(p, 2474873, 772785, 1, 57, 2, r); 1456 specialPlusTerm(p, 2446403, 758673, 1, 56, 2, r); 1457 specialPlusTerm(p, 2400137, 616515, 1, 55, 2, r); 1458 specialPlusTerm(p, 2337027, 481818, 1, 54, 2, r); 1459 specialPlusTerm(p, 2258366, 57059, 1, 53, 2, r); 1460 specialPlusTerm(p, 2165744, 506758, 1, 52, 2, r); 1461 specialPlusTerm(p, 2061001, 163040, 1, 51, 2, r); 1462 specialPlusTerm(p, 1946163, 254505, 1, 50, 2, r); 1463 specialPlusTerm(p, 1823384, 135692, 1, 49, 2, r); 1464 specialPlusTerm(p, 1694878, 629195, 1, 48, 2, r); 1465 specialPlusTerm(p, 1562859, 93097, 1, 47, 2, r); 1466 specialPlusTerm(p, 1429474, 696453, 1, 46, 2, r); 1467 specialPlusTerm(p, 1296756, 136371, 1, 45, 2, r); 1468 specialPlusTerm(p, 1166567, 679850, 1, 44, 2, r); 1469 specialPlusTerm(p, 1040567, 985354, 1, 43, 2, r); 1470 specialPlusTerm(p, 920180, 680239, 1, 42, 2, r); 1471 specialPlusTerm(p, 806575, 169521, 1, 41, 2, r); 1472 specialPlusTerm(p, 700657, 657865, 1, 40, 2, r); 1473 specialPlusTerm(p, 603071, 906907, 1, 39, 2, r); 1474 specialPlusTerm(p, 514208, 847321, 1, 38, 2, r); 1475 specialPlusTerm(p, 434223, 837763, 1, 37, 2, r); 1476 specialPlusTerm(p, 363060, 123557, 1, 36, 2, r); 1477 specialPlusTerm(p, 300476, 903127, 1, 35, 2, r); 1478 specialPlusTerm(p, 246080, 359923, 1, 34, 2, r); 1479 specialPlusTerm(p, 199356, 56374, 1, 33, 2, r); 1480 specialPlusTerm(p, 159701, 203700, 1, 32, 2, r); 1481 specialPlusTerm(p, 126455, 502830, 1, 31, 2, r); 1482 specialPlusTerm(p, 98929, 480219, 1, 30, 2, r); 1483 specialPlusTerm(p, 76429, 499829, 1, 29, 2, r); 1484 specialPlusTerm(p, 58278, 900847, 1, 28, 2, r); 1485 specialPlusTerm(p, 43834, 973084, 1, 27, 2, r); 1486 specialPlusTerm(p, 32501, 723962, 1, 26, 2, r); 1487 specialPlusTerm(p, 23738, 601098, 1, 25, 2, r); 1488 specialPlusTerm(p, 17065, 504721, 1, 24, 2, r); 1489 specialPlusTerm(p, 12064, 550062, 1, 23, 2, r); 1490 specialPlusTerm(p, 8379, 120417, 1, 22, 2, r); 1491 specialPlusTerm(p, 5710, 788839, 1, 21, 2, r); 1492 specialPlusTerm(p, 3814, 684934, 1, 20, 2, r); 1493 specialPlusTerm(p, 2493, 849460, 1, 19, 2, r); 1494 specialPlusTerm(p, 1593, 60962, 1, 18, 2, r); 1495 specialPlusTerm(p, 992, 543577, 1, 17, 2, r); 1496 specialPlusTerm(p, 601, 881264, 1, 16, 2, r); 1497 specialPlusTerm(p, 354, 378149, 1, 15, 2, r); 1498 specialPlusTerm(p, 202, 23344, 1, 14, 2, r); 1499 specialPlusTerm(p, 111, 145993, 1, 13, 2, r); 1500 specialPlusTerm(p, 58, 785390, 1, 12, 2, r); 1501 specialPlusTerm(p, 29, 753317, 1, 11, 2, r); 1502 specialPlusTerm(p, 14, 331491, 1, 10, 2, r); 1503 specialPlusTerm(p, 6, 525379, 1, 9, 2, r); 1504 specialPlusTerm(p, 2, 785083, 1, 8, 2, r); 1505 specialPlusTerm(p, 1, 102494, 1, 7, 2, r); 1506 specialPlusTerm(p, 0, 399235, 1, 6, 2, r); 1507 specialPlusTerm(p, 0, 129826, 1, 5, 2, r); 1508 specialPlusTerm(p, 0, 36944, 1, 4, 2, r); 1509 specialPlusTerm(p, 0, 8854, 1, 3, 2, r); 1510 specialPlusTerm(p, 0, 1680, 1, 2, 2, r); 1511 specialPlusTerm(p, 0, 225, 1, 1, 2, r); 1512 specialPlusTerm(p, 0, 16, 1, 0, 2, r); 1513 specialPlusTerm(p, 0, 1, 1, 120, 1, r); 1514 specialPlusTerm(p, 0, 15, 1, 119, 1, r); 1515 specialPlusTerm(p, 0, 119, 1, 118, 1, r); 1516 specialPlusTerm(p, 0, 664, 1, 117, 1, r); 1517 specialPlusTerm(p, 0, 2924, 1, 116, 1, r); 1518 specialPlusTerm(p, 0, 10813, 1, 115, 1, r); 1519 specialPlusTerm(p, 0, 34900, 1, 114, 1, r); 1520 specialPlusTerm(p, 0, 100913, 1, 113, 1, r); 1521 specialPlusTerm(p, 0, 266338, 1, 112, 1, r); 1522 specialPlusTerm(p, 0, 650658, 1, 111, 1, r); 1523 specialPlusTerm(p, 1, 487262, 1, 110, 1, r); 1524 specialPlusTerm(p, 3, 208036, 1, 109, 1, r); 1525 specialPlusTerm(p, 6, 574987, 1, 108, 1, r); 1526 specialPlusTerm(p, 12, 876702, 1, 107, 1, r); 1527 specialPlusTerm(p, 24, 210652, 1, 106, 1, r); 1528 specialPlusTerm(p, 43, 874857, 1, 105, 1, r); 1529 specialPlusTerm(p, 76, 893687, 1, 104, 1, r); 1530 specialPlusTerm(p, 130, 701986, 1, 103, 1, r); 1531 specialPlusTerm(p, 216, 8661, 1, 102, 1, r); 1532 specialPlusTerm(p, 347, 854815, 1, 101, 1, r); 1533 specialPlusTerm(p, 546, 871981, 1, 100, 1, r); 1534 specialPlusTerm(p, 840, 732790, 1, 99, 1, r); 1535 specialPlusTerm(p, 1265, 769513, 1, 98, 1, r); 1536 specialPlusTerm(p, 1868, 715733, 1, 97, 1, r); 1537 specialPlusTerm(p, 2708, 503701, 1, 96, 1, r); 1538 specialPlusTerm(p, 3858, 25899, 1, 95, 1, r); 1539 specialPlusTerm(p, 5405, 745562, 1, 94, 1, r); 1540 specialPlusTerm(p, 7457, 19331, 1, 93, 1, r); 1541 specialPlusTerm(p, 10134, 977992, 1, 92, 1, r); 1542 specialPlusTerm(p, 13580, 800674, 1, 91, 1, r); 1543 specialPlusTerm(p, 17953, 216130, 1, 90, 1, r); 1544 specialPlusTerm(p, 23427, 73737, 1, 89, 1, r); 1545 specialPlusTerm(p, 30190, 848078, 1, 88, 1, r); 1546 specialPlusTerm(p, 38442, 975195, 1, 87, 1, r); 1547 specialPlusTerm(p, 48386, 965771, 1, 86, 1, r); 1548 specialPlusTerm(p, 60225, 299589, 1, 85, 1, r); 1549 specialPlusTerm(p, 74152, 174574, 1, 84, 1, r); 1550 specialPlusTerm(p, 90345, 259476, 1, 83, 1, r); 1551 specialPlusTerm(p, 108956, 677797, 1, 82, 1, r); 1552 specialPlusTerm(p, 130103, 527156, 1, 81, 1, r); 1553 specialPlusTerm(p, 153858, 307693, 1, 80, 1, r); 1554 specialPlusTerm(p, 180239, 689955, 1, 79, 1, r); 1555 specialPlusTerm(p, 209204, 91832, 1, 78, 1, r); 1556 specialPlusTerm(p, 240638, 550997, 1, 77, 1, r); 1557 specialPlusTerm(p, 274355, 370450, 1, 76, 1, r); 1558 specialPlusTerm(p, 310088, 978041, 1, 75, 1, r); 1559 specialPlusTerm(p, 347495, 375766, 1, 74, 1, r); 1560 specialPlusTerm(p, 386154, 462530, 1, 73, 1, r); 1561 specialPlusTerm(p, 425575, 398166, 1, 72, 1, r); 1562 specialPlusTerm(p, 465205, 41801, 1, 71, 1, r); 1563 specialPlusTerm(p, 504439, 350762, 1, 70, 1, r); 1564 specialPlusTerm(p, 542637, 474944, 1, 69, 1, r); 1565 specialPlusTerm(p, 579138, 134521, 1, 68, 1, r); 1566 specialPlusTerm(p, 613277, 734909, 1, 67, 1, r); 1567 specialPlusTerm(p, 644409, 560477, 1, 66, 1, r); 1568 specialPlusTerm(p, 671923, 305201, 1, 65, 1, r); 1569 specialPlusTerm(p, 695264, 150336, 1, 64, 1, r); 1570 specialPlusTerm(p, 713950, 590364, 1, 63, 1, r); 1571 specialPlusTerm(p, 727590, 240796, 1, 62, 1, r); 1572 specialPlusTerm(p, 735892, 934219, 1, 61, 1, r); 1573 specialPlusTerm(p, 738680, 521142, 1, 60, 1, r); 1574 specialPlusTerm(p, 735892, 934219, 1, 59, 1, r); 1575 specialPlusTerm(p, 727590, 240796, 1, 58, 1, r); 1576 specialPlusTerm(p, 713950, 590364, 1, 57, 1, r); 1577 specialPlusTerm(p, 695264, 150336, 1, 56, 1, r); 1578 specialPlusTerm(p, 671923, 305201, 1, 55, 1, r); 1579 specialPlusTerm(p, 644409, 560477, 1, 54, 1, r); 1580 specialPlusTerm(p, 613277, 734909, 1, 53, 1, r); 1581 specialPlusTerm(p, 579138, 134521, 1, 52, 1, r); 1582 specialPlusTerm(p, 542637, 474944, 1, 51, 1, r); 1583 specialPlusTerm(p, 504439, 350762, 1, 50, 1, r); 1584 specialPlusTerm(p, 465205, 41801, 1, 49, 1, r); 1585 specialPlusTerm(p, 425575, 398166, 1, 48, 1, r); 1586 specialPlusTerm(p, 386154, 462530, 1, 47, 1, r); 1587 specialPlusTerm(p, 347495, 375766, 1, 46, 1, r); 1588 specialPlusTerm(p, 310088, 978041, 1, 45, 1, r); 1589 specialPlusTerm(p, 274355, 370450, 1, 44, 1, r); 1590 specialPlusTerm(p, 240638, 550997, 1, 43, 1, r); 1591 specialPlusTerm(p, 209204, 91832, 1, 42, 1, r); 1592 specialPlusTerm(p, 180239, 689955, 1, 41, 1, r); 1593 specialPlusTerm(p, 153858, 307693, 1, 40, 1, r); 1594 specialPlusTerm(p, 130103, 527156, 1, 39, 1, r); 1595 specialPlusTerm(p, 108956, 677797, 1, 38, 1, r); 1596 specialPlusTerm(p, 90345, 259476, 1, 37, 1, r); 1597 specialPlusTerm(p, 74152, 174574, 1, 36, 1, r); 1598 specialPlusTerm(p, 60225, 299589, 1, 35, 1, r); 1599 specialPlusTerm(p, 48386, 965771, 1, 34, 1, r); 1600 specialPlusTerm(p, 38442, 975195, 1, 33, 1, r); 1601 specialPlusTerm(p, 30190, 848078, 1, 32, 1, r); 1602 specialPlusTerm(p, 23427, 73737, 1, 31, 1, r); 1603 specialPlusTerm(p, 17953, 216130, 1, 30, 1, r); 1604 specialPlusTerm(p, 13580, 800674, 1, 29, 1, r); 1605 specialPlusTerm(p, 10134, 977992, 1, 28, 1, r); 1606 specialPlusTerm(p, 7457, 19331, 1, 27, 1, r); 1607 specialPlusTerm(p, 5405, 745562, 1, 26, 1, r); 1608 specialPlusTerm(p, 3858, 25899, 1, 25, 1, r); 1609 specialPlusTerm(p, 2708, 503701, 1, 24, 1, r); 1610 specialPlusTerm(p, 1868, 715733, 1, 23, 1, r); 1611 specialPlusTerm(p, 1265, 769513, 1, 22, 1, r); 1612 specialPlusTerm(p, 840, 732790, 1, 21, 1, r); 1613 specialPlusTerm(p, 546, 871981, 1, 20, 1, r); 1614 specialPlusTerm(p, 347, 854815, 1, 19, 1, r); 1615 specialPlusTerm(p, 216, 8661, 1, 18, 1, r); 1616 specialPlusTerm(p, 130, 701986, 1, 17, 1, r); 1617 specialPlusTerm(p, 76, 893687, 1, 16, 1, r); 1618 specialPlusTerm(p, 43, 874857, 1, 15, 1, r); 1619 specialPlusTerm(p, 24, 210652, 1, 14, 1, r); 1620 specialPlusTerm(p, 12, 876702, 1, 13, 1, r); 1621 specialPlusTerm(p, 6, 574987, 1, 12, 1, r); 1622 specialPlusTerm(p, 3, 208036, 1, 11, 1, r); 1623 specialPlusTerm(p, 1, 487262, 1, 10, 1, r); 1624 specialPlusTerm(p, 0, 650658, 1, 9, 1, r); 1625 specialPlusTerm(p, 0, 266338, 1, 8, 1, r); 1626 specialPlusTerm(p, 0, 100913, 1, 7, 1, r); 1627 specialPlusTerm(p, 0, 34900, 1, 6, 1, r); 1628 specialPlusTerm(p, 0, 10813, 1, 5, 1, r); 1629 specialPlusTerm(p, 0, 2924, 1, 4, 1, r); 1630 specialPlusTerm(p, 0, 664, 1, 3, 1, r); 1631 specialPlusTerm(p, 0, 119, 1, 2, 1, r); 1632 specialPlusTerm(p, 0, 15, 1, 1, 1, r); 1633 specialPlusTerm(p, 0, 1, 1, 0, 1, r); 223 1634 } 224 1635 void checkInverse(number n, const coeffs cf) … … 232 1643 n_Delete(&n1, cf); n_Delete(&n2, cf); 233 1644 } 234 /* assumes that cf represents a rational function field; 235 uses a copy of p inside the resulting number */ 1645 /* to be used over a rational function field, only! 1646 assumes that cf represents a rational function field; 1647 uses p inside the resulting number (and not a copy of it!) */ 236 1648 number toFractionNumber(poly p, const coeffs cf) 237 1649 { … … 239 1651 fraction f = (fraction)n; 240 1652 p_Delete(&(f>numerator), cf>extRing); 241 f>numerator = p _Copy(p, cf>extRing);1653 f>numerator = p; 242 1654 return n; 243 1655 } … … 958 2370 poly w2 = NULL; 959 2371 plusTerm(w2, 3, 1, 1, cf>extRing); // 3s 960 plusTerm(w2, 7, 2, 1, cf>extRing); 2372 plusTerm(w2, 7, 2, 1, cf>extRing); // 3s  7t 961 2373 poly w = p_Mult_q(w1, w2, cf>extRing); // (s + 1) * (3s  7t) 962 2374 number w_n = toFractionNumber(w, cf); … … 969 2381 PrintSized(prod, cf); 970 2382 number tmp; number nn = n_Copy(vOverW_n, cf); 971 for (int i = 1; i <= 20; i++)2383 for (int i = 1; i <= 6; i++) 972 2384 { 973 2385 tmp = n_Div(nn, v_n, cf); … … 983 2395 rDelete(s); // kills 'cf' and 'r' as well 984 2396 } 2397 void test_Q_Ext_Performance() 2398 { 2399 clog << "Start by creating Q[q]..." << endl; 2400 2401 char* n[] = {"q"}; 2402 ring r = rDefault( 0, 1, n); // Q[q] 2403 r>order[0] = ringorder_dp; 2404 TS_ASSERT_DIFFERS( r, NULLp ); 2405 2406 PrintRing(r); 2407 2408 TS_ASSERT( rField_is_Domain(r) ); 2409 TS_ASSERT( rField_is_Q(r) ); 2410 2411 TS_ASSERT( !rField_is_Zp(r) ); 2412 TS_ASSERT( !rField_is_Zp(r, 17) ); 2413 2414 TS_ASSERT_EQUALS( rVar(r), 1); 2415 2416 n_coeffType type = nRegister(n_transExt, ntInitChar); 2417 TS_ASSERT(type == n_transExt); 2418 2419 TransExtInfo extParam; 2420 extParam.r = r; 2421 2422 clog << "Next create the rational function field Q(q)..." << endl; 2423 2424 const coeffs cf = nInitChar(type, &extParam); // Q(q) 2425 2426 if( cf == NULL ) 2427 TS_FAIL("Could not get needed coeff. domain"); 2428 2429 TS_ASSERT_DIFFERS( cf>cfCoeffWrite, NULLp ); 2430 2431 if( cf>cfCoeffWrite != NULL ) 2432 { 2433 clog << "Coeffdomain: " << endl; 2434 n_CoeffWrite(cf); PrintLn(); 2435 } 2436 2437 TS_ASSERT( !nCoeff_is_algExt(cf) ); 2438 TS_ASSERT( nCoeff_is_transExt(cf) ); 2439 2440 // some tests for the coefficient field represented by cf: 2441 TestArithCf(cf); 2442 TestSumCf(cf, 10); 2443 TestSumCf(cf, 100); 2444 TestSumCf(cf, 101); 2445 TestSumCf(cf, 1001); 2446 TestSumCf(cf, 9000); 2447 2448 clog << "Finally create the polynomial ring Q(q)[t]..." 2449 << endl; 2450 2451 char* m[] = {"t"}; 2452 ring s = rDefault(cf, 1, m); // Q(q)[t] 2453 s>order[0] = ringorder_dp; 2454 TS_ASSERT_DIFFERS(s, NULLp); 2455 2456 PrintRing(s); 2457 2458 TS_ASSERT( rField_is_Domain(s) ); 2459 TS_ASSERT( !rField_is_Q(s) ); 2460 TS_ASSERT( !rField_is_Zp(s) ); 2461 TS_ASSERT( !rField_is_Zp(s, 11) ); 2462 TS_ASSERT( !rField_is_Zp(s, 17) ); 2463 TS_ASSERT( !rField_is_GF(s) ); 2464 TS_ASSERT( rField_is_Extension(s) ); 2465 TS_ASSERT( !rField_is_GF(s, 25) ); 2466 TS_ASSERT_EQUALS(rVar(s), 1); 2467 2468 Test(s); 2469 2470 /* a special performance test: */ 2471 poly entry = NULL; 2472 for (int ti = 0; ti <= 20; ti++) 2473 { 2474 for (int qi = 0; qi <= 100; qi++) 2475 { 2476 int c = rand() % 1000000; 2477 poly qterm = p_ISet(c, r); p_SetExp(qterm, 1, qi, r); 2478 p_Setm(qterm, r); 2479 number qtermAsN = toFractionNumber(qterm, cf); 2480 poly tterm = p_ISet(1, s); p_SetExp(tterm, 1, ti, s); 2481 p_Setm(tterm, r); p_SetCoeff(tterm, qtermAsN, s); 2482 entry = p_Add_q(entry, tterm, s); 2483 } 2484 } 2485 p_Write(entry, s); 2486 poly qfactor = p_ISet(1, r); p_SetExp(qfactor, 1, 66, r); 2487 p_Setm(qfactor, r); /* q^66 */ 2488 number qfactorAsN = toFractionNumber(qfactor, cf); 2489 number uuu = n_Invers(qfactorAsN, cf); /* 1 / q^66 */ 2490 poly factor = p_ISet(1, s); p_SetCoeff(factor, uuu, s); /* 1 / q^66 */ 2491 p_Write(factor, s); 2492 clog << "starting multiplication..." << endl; 2493 poly theProduct = p_Mult_q(entry, factor, s); 2494 p_Write(theProduct, s); 2495 clog << "ending multiplication..." << endl; 2496 n_Delete(&qfactorAsN, cf); p_Delete(&theProduct, s); 2497 2498 /* a very special performance test: */ 2499 specialPoly(entry, s); 2500 p_Write(entry, s); 2501 qfactor = p_ISet(1, r); p_SetExp(qfactor, 1, 66, r); 2502 p_Setm(qfactor, r); /* q^66 */ 2503 qfactorAsN = toFractionNumber(qfactor, cf); 2504 uuu = n_Invers(qfactorAsN, cf); /* 1 / q^66 */ 2505 factor = p_ISet(1, s); p_SetCoeff(factor, uuu, s); /* 1 / q^66 */ 2506 p_Write(factor, s); 2507 clog << "starting very special multiplication..." << endl; 2508 /* The following multiplication + output of the product is very slow 2509 in the svn/trunk SINGULAR version; see trac ticket #308. 2510 Here, in the Spielwiese, the result is instantaneous! */ 2511 theProduct = p_Mult_q(entry, factor, s); 2512 p_Write(theProduct, s); 2513 clog << "ending very special multiplication..." << endl; 2514 n_Delete(&qfactorAsN, cf); p_Delete(&theProduct, s); 2515 2516 rDelete(s); // kills 'cf' and 'r' as well 2517 } 985 2518 }; 986 2519
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