Annotation of OpenXM_contrib/pari-2.2/src/test/64/linear, Revision 1.1
1.1 ! noro 1: echo = 1 (on)
! 2: ? algdep(2*cos(2*Pi/13),6)
! 3: x^6 + x^5 - 5*x^4 - 4*x^3 + 6*x^2 + 3*x - 1
! 4: ? algdep(2*cos(2*Pi/13),6,15)
! 5: x^6 + x^5 - 5*x^4 - 4*x^3 + 6*x^2 + 3*x - 1
! 6: ? charpoly([1,2;3,4],z)
! 7: z^2 - 5*z - 2
! 8: ? charpoly(Mod(x^2+x+1,x^3+5*x+1),z)
! 9: z^3 + 7*z^2 + 16*z - 19
! 10: ? charpoly([1,2;3,4],z,1)
! 11: z^2 - 5*z - 2
! 12: ? charpoly(Mod(1,8191)*[1,2;3,4],z,2)
! 13: z^2 + Mod(8186, 8191)*z + Mod(8189, 8191)
! 14: ? lindep(Mod(1,7)*[2,-1;1,3],-1)
! 15: [Mod(6, 7), Mod(5, 7)]~
! 16: ? lindep([(1-3*sqrt(2))/(3-2*sqrt(3)),1,sqrt(2),sqrt(3),sqrt(6)])
! 17: [-3, -3, 9, -2, 6]
! 18: ? lindep([(1-3*sqrt(2))/(3-2*sqrt(3)),1,sqrt(2),sqrt(3),sqrt(6)],14)
! 19: [-3, -3, 9, -2, 6]
! 20: ? matadjoint([1,2;3,4])
! 21:
! 22: [4 -2]
! 23:
! 24: [-3 1]
! 25:
! 26: ? matcompanion(x^5-12*x^3+0.0005)
! 27:
! 28: [0 0 0 0 -0.00049999999999999999999999999999999999999]
! 29:
! 30: [1 0 0 0 0]
! 31:
! 32: [0 1 0 0 0]
! 33:
! 34: [0 0 1 0 12]
! 35:
! 36: [0 0 0 1 0]
! 37:
! 38: ? matdet([1,2,3;1,5,6;9,8,7])
! 39: -30
! 40: ? matdet([1,2,3;1,5,6;9,8,7],1)
! 41: -30
! 42: ? matdetint([1,2,3;4,5,6])
! 43: 3
! 44: ? matdiagonal([2,4,6])
! 45:
! 46: [2 0 0]
! 47:
! 48: [0 4 0]
! 49:
! 50: [0 0 6]
! 51:
! 52: ? mateigen([1,2,3;4,5,6;7,8,9])
! 53:
! 54: [-1.2833494518006402717978106547571267252 1 0.283349451800640271797810654757
! 55: 12672521]
! 56:
! 57: [-0.14167472590032013589890532737856336260 -2 0.6416747259003201358989053273
! 58: 7856336260]
! 59:
! 60: [1 1 1]
! 61:
! 62: ? mathess(mathilbert(7))
! 63:
! 64: [1 90281/58800 -1919947/4344340 4858466341/1095033030 -77651417539/819678732
! 65: 6 3386888964/106615355 1/2]
! 66:
! 67: [1/3 43/48 38789/5585580 268214641/109503303 -581330123627/126464718744 4365
! 68: 450643/274153770 1/4]
! 69:
! 70: [0 217/2880 442223/7447440 53953931/292008808 -32242849453/168619624992 1475
! 71: 457901/1827691800 1/80]
! 72:
! 73: [0 0 1604444/264539275 24208141/149362505292 847880210129/47916076768560 -45
! 74: 44407141/103873817300 -29/40920]
! 75:
! 76: [0 0 0 9773092581/35395807550620 -24363634138919/107305824577186620 72118203
! 77: 606917/60481351061158500 55899/3088554700]
! 78:
! 79: [0 0 0 0 67201501179065/8543442888354179988 -9970556426629/74082861999267660
! 80: 0 -3229/13661312210]
! 81:
! 82: [0 0 0 0 0 -258198800769/9279048099409000 -13183/38381527800]
! 83:
! 84: ? mathilbert(5)
! 85:
! 86: [1 1/2 1/3 1/4 1/5]
! 87:
! 88: [1/2 1/3 1/4 1/5 1/6]
! 89:
! 90: [1/3 1/4 1/5 1/6 1/7]
! 91:
! 92: [1/4 1/5 1/6 1/7 1/8]
! 93:
! 94: [1/5 1/6 1/7 1/8 1/9]
! 95:
! 96: ? amat=1/mathilbert(7)
! 97:
! 98: [49 -1176 8820 -29400 48510 -38808 12012]
! 99:
! 100: [-1176 37632 -317520 1128960 -1940400 1596672 -504504]
! 101:
! 102: [8820 -317520 2857680 -10584000 18711000 -15717240 5045040]
! 103:
! 104: [-29400 1128960 -10584000 40320000 -72765000 62092800 -20180160]
! 105:
! 106: [48510 -1940400 18711000 -72765000 133402500 -115259760 37837800]
! 107:
! 108: [-38808 1596672 -15717240 62092800 -115259760 100590336 -33297264]
! 109:
! 110: [12012 -504504 5045040 -20180160 37837800 -33297264 11099088]
! 111:
! 112: ? mathnf(amat)
! 113:
! 114: [420 0 0 0 210 168 175]
! 115:
! 116: [0 840 0 0 0 0 504]
! 117:
! 118: [0 0 2520 0 0 0 1260]
! 119:
! 120: [0 0 0 2520 0 0 840]
! 121:
! 122: [0 0 0 0 13860 0 6930]
! 123:
! 124: [0 0 0 0 0 5544 0]
! 125:
! 126: [0 0 0 0 0 0 12012]
! 127:
! 128: ? mathnf(amat,1)
! 129: [[420, 0, 0, 0, 210, 168, 175; 0, 840, 0, 0, 0, 0, 504; 0, 0, 2520, 0, 0, 0,
! 130: 1260; 0, 0, 0, 2520, 0, 0, 840; 0, 0, 0, 0, 13860, 0, 6930; 0, 0, 0, 0, 0,
! 131: 5544, 0; 0, 0, 0, 0, 0, 0, 12012], [420, 420, 840, 630, 2982, 1092, 4159; 21
! 132: 0, 280, 630, 504, 2415, 876, 3395; 140, 210, 504, 420, 2050, 749, 2901; 105,
! 133: 168, 420, 360, 1785, 658, 2542; 84, 140, 360, 315, 1582, 588, 2266; 70, 120
! 134: , 315, 280, 1421, 532, 2046; 60, 105, 280, 252, 1290, 486, 1866]]
! 135: ? mathnf(amat,4)
! 136: [[420, 0, 0, 0, 210, 168, 175; 0, 840, 0, 0, 0, 0, 504; 0, 0, 2520, 0, 0, 0,
! 137: 1260; 0, 0, 0, 2520, 0, 0, 840; 0, 0, 0, 0, 13860, 0, 6930; 0, 0, 0, 0, 0,
! 138: 5544, 0; 0, 0, 0, 0, 0, 0, 12012], [420, 420, 840, 630, 2982, 1092, 4159; 21
! 139: 0, 280, 630, 504, 2415, 876, 3395; 140, 210, 504, 420, 2050, 749, 2901; 105,
! 140: 168, 420, 360, 1785, 658, 2542; 84, 140, 360, 315, 1582, 588, 2266; 70, 120
! 141: , 315, 280, 1421, 532, 2046; 60, 105, 280, 252, 1290, 486, 1866]]
! 142: ? mathnf(amat,3)
! 143: [[360360, 0, 0, 0, 0, 144144, 300300; 0, 27720, 0, 0, 0, 0, 22176; 0, 0, 277
! 144: 20, 0, 0, 0, 6930; 0, 0, 0, 2520, 0, 0, 840; 0, 0, 0, 0, 2520, 0, 1260; 0, 0
! 145: , 0, 0, 0, 168, 0; 0, 0, 0, 0, 0, 0, 7], [51480, 4620, 5544, 630, 840, 20676
! 146: , 48619; 45045, 3960, 4620, 504, 630, 18074, 42347; 40040, 3465, 3960, 420,
! 147: 504, 16058, 37523; 36036, 3080, 3465, 360, 420, 14448, 33692; 32760, 2772, 3
! 148: 080, 315, 360, 13132, 30574; 30030, 2520, 2772, 280, 315, 12036, 27986; 2772
! 149: 0, 2310, 2520, 252, 280, 11109, 25803], [7, 6, 5, 4, 3, 2, 1]]
! 150: ? mathnfmod(amat,matdetint(amat))
! 151:
! 152: [420 0 0 0 210 168 175]
! 153:
! 154: [0 840 0 0 0 0 504]
! 155:
! 156: [0 0 2520 0 0 0 1260]
! 157:
! 158: [0 0 0 2520 0 0 840]
! 159:
! 160: [0 0 0 0 13860 0 6930]
! 161:
! 162: [0 0 0 0 0 5544 0]
! 163:
! 164: [0 0 0 0 0 0 12012]
! 165:
! 166: ? mathnfmodid(amat,123456789*10^100)
! 167:
! 168: [60 0 0 0 30 24 35]
! 169:
! 170: [0 120 0 0 0 0 24]
! 171:
! 172: [0 0 360 0 0 0 180]
! 173:
! 174: [0 0 0 360 0 0 240]
! 175:
! 176: [0 0 0 0 180 0 90]
! 177:
! 178: [0 0 0 0 0 72 0]
! 179:
! 180: [0 0 0 0 0 0 12]
! 181:
! 182: ? matid(5)
! 183:
! 184: [1 0 0 0 0]
! 185:
! 186: [0 1 0 0 0]
! 187:
! 188: [0 0 1 0 0]
! 189:
! 190: [0 0 0 1 0]
! 191:
! 192: [0 0 0 0 1]
! 193:
! 194: ? matimage([1,3,5;2,4,6;3,5,7])
! 195:
! 196: [1 3]
! 197:
! 198: [2 4]
! 199:
! 200: [3 5]
! 201:
! 202: ? matimage([1,3,5;2,4,6;3,5,7],1)
! 203:
! 204: [3 5]
! 205:
! 206: [4 6]
! 207:
! 208: [5 7]
! 209:
! 210: ? matimage(Pi*[1,3,5;2,4,6;3,5,7])
! 211:
! 212: [9.4247779607693797153879301498385086525 15.70796326794896619231321691639751
! 213: 4420]
! 214:
! 215: [12.566370614359172953850573533118011536 18.84955592153875943077586029967701
! 216: 7305]
! 217:
! 218: [15.707963267948966192313216916397514420 21.99114857512855266923850368295652
! 219: 0189]
! 220:
! 221: ? matimagecompl([1,3,5;2,4,6;3,5,7])
! 222: [3]
! 223: ? matimagecompl(Pi*[1,3,5;2,4,6;3,5,7])
! 224: [1]
! 225: ? matindexrank([1,1,1;1,1,1;1,1,2])
! 226: [[1, 3], [1, 3]]
! 227: ? matintersect([1,2;3,4;5,6],[2,3;7,8;8,9])
! 228:
! 229: [-1]
! 230:
! 231: [-1]
! 232:
! 233: [-1]
! 234:
! 235: ? matinverseimage([1,1;2,3;5,7],[2,2,6]~)
! 236: [4, -2]~
! 237: ? matisdiagonal([1,0,0;0,5,0;0,0,0])
! 238: 1
! 239: ? matker(matrix(4,4,x,y,x/y))
! 240:
! 241: [-1/2 -1/3 -1/4]
! 242:
! 243: [1 0 0]
! 244:
! 245: [0 1 0]
! 246:
! 247: [0 0 1]
! 248:
! 249: ? matker(matrix(4,4,x,y,sin(x+y)))
! 250:
! 251: [0.72968694572192883282306463453582002359]
! 252:
! 253: [0.2114969213291234874]
! 254:
! 255: [-0.3509176660143506019]
! 256:
! 257: [1]
! 258:
! 259: ? matker(matrix(4,4,x,y,x+y),1)
! 260:
! 261: [1 2]
! 262:
! 263: [-2 -3]
! 264:
! 265: [1 0]
! 266:
! 267: [0 1]
! 268:
! 269: ? matkerint(matrix(4,4,x,y,x*y))
! 270:
! 271: [-1 -1 -1]
! 272:
! 273: [-1 0 1]
! 274:
! 275: [1 -1 1]
! 276:
! 277: [0 1 -1]
! 278:
! 279: ? matkerint(matrix(4,4,x,y,x*y),1)
! 280:
! 281: [-1 -1 -1]
! 282:
! 283: [-1 0 1]
! 284:
! 285: [1 -1 1]
! 286:
! 287: [0 1 -1]
! 288:
! 289: ? matkerint(matrix(4,6,x,y,2520/(x+y)),2)
! 290:
! 291: [3 1]
! 292:
! 293: [-30 -15]
! 294:
! 295: [70 70]
! 296:
! 297: [0 -140]
! 298:
! 299: [-126 126]
! 300:
! 301: [84 -42]
! 302:
! 303: ? matmuldiagonal(amat,[1,2,3,4,5,6,7])
! 304:
! 305: [49 -2352 26460 -117600 242550 -232848 84084]
! 306:
! 307: [-1176 75264 -952560 4515840 -9702000 9580032 -3531528]
! 308:
! 309: [8820 -635040 8573040 -42336000 93555000 -94303440 35315280]
! 310:
! 311: [-29400 2257920 -31752000 161280000 -363825000 372556800 -141261120]
! 312:
! 313: [48510 -3880800 56133000 -291060000 667012500 -691558560 264864600]
! 314:
! 315: [-38808 3193344 -47151720 248371200 -576298800 603542016 -233080848]
! 316:
! 317: [12012 -1009008 15135120 -80720640 189189000 -199783584 77693616]
! 318:
! 319: ? matmultodiagonal(amat^-1,%)
! 320:
! 321: [1 0 0 0 0 0 0]
! 322:
! 323: [0 2 0 0 0 0 0]
! 324:
! 325: [0 0 3 0 0 0 0]
! 326:
! 327: [0 0 0 4 0 0 0]
! 328:
! 329: [0 0 0 0 5 0 0]
! 330:
! 331: [0 0 0 0 0 6 0]
! 332:
! 333: [0 0 0 0 0 0 7]
! 334:
! 335: ? matpascal(8)
! 336:
! 337: [1 0 0 0 0 0 0 0 0]
! 338:
! 339: [1 1 0 0 0 0 0 0 0]
! 340:
! 341: [1 2 1 0 0 0 0 0 0]
! 342:
! 343: [1 3 3 1 0 0 0 0 0]
! 344:
! 345: [1 4 6 4 1 0 0 0 0]
! 346:
! 347: [1 5 10 10 5 1 0 0 0]
! 348:
! 349: [1 6 15 20 15 6 1 0 0]
! 350:
! 351: [1 7 21 35 35 21 7 1 0]
! 352:
! 353: [1 8 28 56 70 56 28 8 1]
! 354:
! 355: ? matrank(matrix(5,5,x,y,x+y))
! 356: 2
! 357: ? matrix(5,5,x,y,gcd(x,y))
! 358:
! 359: [1 1 1 1 1]
! 360:
! 361: [1 2 1 2 1]
! 362:
! 363: [1 1 3 1 1]
! 364:
! 365: [1 2 1 4 1]
! 366:
! 367: [1 1 1 1 5]
! 368:
! 369: ? matrixqz([1,3;3,5;5,7],0)
! 370:
! 371: [1 1]
! 372:
! 373: [3 2]
! 374:
! 375: [5 3]
! 376:
! 377: ? matrixqz([1/3,1/4,1/6;1/2,1/4,-1/4;1/3,1,0],-1)
! 378:
! 379: [19 12 2]
! 380:
! 381: [0 1 0]
! 382:
! 383: [0 0 1]
! 384:
! 385: ? matrixqz([1,3;3,5;5,7],-2)
! 386:
! 387: [2 -1]
! 388:
! 389: [1 0]
! 390:
! 391: [0 1]
! 392:
! 393: ? matsize([1,2;3,4;5,6])
! 394: [3, 2]
! 395: ? matsnf(matrix(5,5,j,k,random))
! 396: [741799239614624774584532992, 2147483648, 2147483648, 1, 1]
! 397: ? matsnf(1/mathilbert(6))
! 398: [27720, 2520, 2520, 840, 210, 6]
! 399: ? matsnf(x*matid(5)-matrix(5,5,j,k,1),2)
! 400: [x^2 - 5*x, x, x, x, 1]
! 401: ? matsolve(mathilbert(10),[1,2,3,4,5,6,7,8,9,0]~)
! 402: [9236800, -831303990, 18288515520, -170691240720, 832112321040, -23298940665
! 403: 00, 3883123564320, -3803844432960, 2020775945760, -449057772020]~
! 404: ? matsolvemod([2,3;5,4],[7,11],[1,4]~)
! 405: [-5, -1]~
! 406: ? matsolvemod([2,3;5,4],[7,11],[1,4]~,1)
! 407: [[-5, -1]~, [-77, 723; 0, 1]]
! 408: ? matsupplement([1,3;2,4;3,6])
! 409:
! 410: [1 3 0]
! 411:
! 412: [2 4 0]
! 413:
! 414: [3 6 1]
! 415:
! 416: ? mattranspose(vector(2,x,x))
! 417: [1, 2]~
! 418: ? %*%~
! 419:
! 420: [1 2]
! 421:
! 422: [2 4]
! 423:
! 424: ? norml2(vector(10,x,x))
! 425: 385
! 426: ? qfgaussred(mathilbert(5))
! 427:
! 428: [1 1/2 1/3 1/4 1/5]
! 429:
! 430: [0 1/12 1 9/10 4/5]
! 431:
! 432: [0 0 1/180 3/2 12/7]
! 433:
! 434: [0 0 0 1/2800 2]
! 435:
! 436: [0 0 0 0 1/44100]
! 437:
! 438: ? qfjacobi(mathilbert(6))
! 439: [[1.6188998589243390969705881471257800712, 0.2423608705752095521357284158507
! 440: 0114077, 0.000012570757122625194922982397996498755027, 0.0000001082799484565
! 441: 5497685388772372251711485, 0.016321521319875822124345079564191505890, 0.0006
! 442: 1574835418265769764919938428527140264]~, [0.74871921887909485900280109200517
! 443: 845109, -0.61454482829258676899320019644273870645, 0.01114432093072471053067
! 444: 8340374220998541, -0.0012481940840821751169398163046387834473, 0.24032536934
! 445: 252330399154228873240534568, -0.062226588150197681775152126611810492910; 0.4
! 446: 4071750324351206127160083580231701801, 0.21108248167867048675227675845247769
! 447: 095, -0.17973275724076003758776897803740640964, 0.03560664294428763526612284
! 448: 8131812048466, -0.69765137527737012296208335046678265583, 0.4908392097109243
! 449: 6297498316169060044997; 0.32069686982225190106359024326699463106, 0.36589360
! 450: 730302614149086554211117169622, 0.60421220675295973004426567844103062241, -0
! 451: .24067907958842295837736719558855679285, -0.23138937333290388042251363554209
! 452: 048309, -0.53547692162107486593474491750949545456; 0.25431138634047419251788
! 453: 312792590944672, 0.39470677609501756783094636145991581708, -0.44357471627623
! 454: 954554460416705180105301, 0.62546038654922724457753441039459331059, 0.132863
! 455: 15850933553530333839628101576050, -0.41703769221897886840494514780771076439;
! 456: 0.21153084007896524664213667673977991959, 0.3881904338738864286311144882599
! 457: 2418973, -0.44153664101228966222143649752977203423, -0.689807199293836684198
! 458: 01738006926829419, 0.36271492146487147525299457604461742111, 0.0470340189331
! 459: 15649705614518466541243873; 0.18144297664876947372217005457727093715, 0.3706
! 460: 9590776736280861775501084807394603, 0.45911481681642960284551392793050866602
! 461: , 0.27160545336631286930015536176213647001, 0.502762866757515384892605663686
! 462: 47786272, 0.54068156310385293880022293448123782121]]
! 463: ? m=1/mathilbert(7)
! 464:
! 465: [49 -1176 8820 -29400 48510 -38808 12012]
! 466:
! 467: [-1176 37632 -317520 1128960 -1940400 1596672 -504504]
! 468:
! 469: [8820 -317520 2857680 -10584000 18711000 -15717240 5045040]
! 470:
! 471: [-29400 1128960 -10584000 40320000 -72765000 62092800 -20180160]
! 472:
! 473: [48510 -1940400 18711000 -72765000 133402500 -115259760 37837800]
! 474:
! 475: [-38808 1596672 -15717240 62092800 -115259760 100590336 -33297264]
! 476:
! 477: [12012 -504504 5045040 -20180160 37837800 -33297264 11099088]
! 478:
! 479: ? mp=concat(m,matid(7))
! 480:
! 481: [49 -1176 8820 -29400 48510 -38808 12012 1 0 0 0 0 0 0]
! 482:
! 483: [-1176 37632 -317520 1128960 -1940400 1596672 -504504 0 1 0 0 0 0 0]
! 484:
! 485: [8820 -317520 2857680 -10584000 18711000 -15717240 5045040 0 0 1 0 0 0 0]
! 486:
! 487: [-29400 1128960 -10584000 40320000 -72765000 62092800 -20180160 0 0 0 1 0 0
! 488: 0]
! 489:
! 490: [48510 -1940400 18711000 -72765000 133402500 -115259760 37837800 0 0 0 0 1 0
! 491: 0]
! 492:
! 493: [-38808 1596672 -15717240 62092800 -115259760 100590336 -33297264 0 0 0 0 0
! 494: 1 0]
! 495:
! 496: [12012 -504504 5045040 -20180160 37837800 -33297264 11099088 0 0 0 0 0 0 1]
! 497:
! 498: ? qflll(m)
! 499:
! 500: [-420 -420 840 630 -1092 -83 2562]
! 501:
! 502: [-210 -280 630 504 -876 70 2205]
! 503:
! 504: [-140 -210 504 420 -749 137 1910]
! 505:
! 506: [-105 -168 420 360 -658 169 1680]
! 507:
! 508: [-84 -140 360 315 -588 184 1498]
! 509:
! 510: [-70 -120 315 280 -532 190 1351]
! 511:
! 512: [-60 -105 280 252 -486 191 1230]
! 513:
! 514: ? qflll(m,7)
! 515:
! 516: [-420 -420 840 630 -1092 -83 2562]
! 517:
! 518: [-210 -280 630 504 -876 70 2205]
! 519:
! 520: [-140 -210 504 420 -749 137 1910]
! 521:
! 522: [-105 -168 420 360 -658 169 1680]
! 523:
! 524: [-84 -140 360 315 -588 184 1498]
! 525:
! 526: [-70 -120 315 280 -532 190 1351]
! 527:
! 528: [-60 -105 280 252 -486 191 1230]
! 529:
! 530: ? qflllgram(m)
! 531:
! 532: [1 1 27 -27 69 0 141]
! 533:
! 534: [0 1 4 -22 34 -24 49]
! 535:
! 536: [0 1 3 -21 18 -24 23]
! 537:
! 538: [0 1 3 -20 10 -19 13]
! 539:
! 540: [0 1 3 -19 6 -14 8]
! 541:
! 542: [0 1 3 -18 4 -10 5]
! 543:
! 544: [0 1 3 -17 3 -7 3]
! 545:
! 546: ? qflllgram(m,7)
! 547:
! 548: [1 1 27 -27 69 0 141]
! 549:
! 550: [0 1 4 -22 34 -24 49]
! 551:
! 552: [0 1 3 -21 18 -24 23]
! 553:
! 554: [0 1 3 -20 10 -19 13]
! 555:
! 556: [0 1 3 -19 6 -14 8]
! 557:
! 558: [0 1 3 -18 4 -10 5]
! 559:
! 560: [0 1 3 -17 3 -7 3]
! 561:
! 562: ? qflllgram(m,1)
! 563:
! 564: [1 1 27 -27 69 0 141]
! 565:
! 566: [0 1 4 -23 34 -24 91]
! 567:
! 568: [0 1 3 -22 18 -24 65]
! 569:
! 570: [0 1 3 -21 10 -19 49]
! 571:
! 572: [0 1 3 -20 6 -14 38]
! 573:
! 574: [0 1 3 -19 4 -10 30]
! 575:
! 576: [0 1 3 -18 3 -7 24]
! 577:
! 578: ? qflllgram(mp~*mp,4)
! 579: [[-420, -420, 840, 630, 2982, -1092, -83; -210, -280, 630, 504, 2415, -876,
! 580: 70; -140, -210, 504, 420, 2050, -749, 137; -105, -168, 420, 360, 1785, -658,
! 581: 169; -84, -140, 360, 315, 1582, -588, 184; -70, -120, 315, 280, 1421, -532,
! 582: 190; -60, -105, 280, 252, 1290, -486, 191; 420, 0, 0, 0, -210, 168, 35; 0,
! 583: 840, 0, 0, 0, 0, 336; 0, 0, -2520, 0, 0, 0, 1260; 0, 0, 0, -2520, 0, 0, -840
! 584: ; 0, 0, 0, 0, -13860, 0, 6930; 0, 0, 0, 0, 0, 5544, 0; 0, 0, 0, 0, 0, 0, -12
! 585: 012], [0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0; 0, 0,
! 586: 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0
! 587: ; 1, 0, 0, 0, 0, 0, 0; 0, 1, 0, 0, 0, 0, 0; 0, 0, 1, 0, 0, 0, 0; 0, 0, 0, 1,
! 588: 0, 0, 0; 0, 0, 0, 0, 1, 0, 0; 0, 0, 0, 0, 0, 1, 0; 0, 0, 0, 0, 0, 0, 1]]
! 589: ? qflll(m,1)
! 590:
! 591: [-420 -420 840 630 -1092 -83 2982]
! 592:
! 593: [-210 -280 630 504 -876 70 2415]
! 594:
! 595: [-140 -210 504 420 -749 137 2050]
! 596:
! 597: [-105 -168 420 360 -658 169 1785]
! 598:
! 599: [-84 -140 360 315 -588 184 1582]
! 600:
! 601: [-70 -120 315 280 -532 190 1421]
! 602:
! 603: [-60 -105 280 252 -486 191 1290]
! 604:
! 605: ? qflll(m,2)
! 606:
! 607: [-420 -420 -630 840 1092 2982 -83]
! 608:
! 609: [-210 -280 -504 630 876 2415 70]
! 610:
! 611: [-140 -210 -420 504 749 2050 137]
! 612:
! 613: [-105 -168 -360 420 658 1785 169]
! 614:
! 615: [-84 -140 -315 360 588 1582 184]
! 616:
! 617: [-70 -120 -280 315 532 1421 190]
! 618:
! 619: [-60 -105 -252 280 486 1290 191]
! 620:
! 621: ? qflll(mp,4)
! 622: [[-420, -420, 840, 630, 2982, -1092, -83; -210, -280, 630, 504, 2415, -876,
! 623: 70; -140, -210, 504, 420, 2050, -749, 137; -105, -168, 420, 360, 1785, -658,
! 624: 169; -84, -140, 360, 315, 1582, -588, 184; -70, -120, 315, 280, 1421, -532,
! 625: 190; -60, -105, 280, 252, 1290, -486, 191; 420, 0, 0, 0, -210, 168, 35; 0,
! 626: 840, 0, 0, 0, 0, 336; 0, 0, -2520, 0, 0, 0, 1260; 0, 0, 0, -2520, 0, 0, -840
! 627: ; 0, 0, 0, 0, -13860, 0, 6930; 0, 0, 0, 0, 0, 5544, 0; 0, 0, 0, 0, 0, 0, -12
! 628: 012], [0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0; 0, 0,
! 629: 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0
! 630: ; 1, 0, 0, 0, 0, 0, 0; 0, 1, 0, 0, 0, 0, 0; 0, 0, 1, 0, 0, 0, 0; 0, 0, 0, 1,
! 631: 0, 0, 0; 0, 0, 0, 0, 1, 0, 0; 0, 0, 0, 0, 0, 1, 0; 0, 0, 0, 0, 0, 0, 1]]
! 632: ? qflll(m,3)
! 633:
! 634: [-420 -420 840 630 -1092 -83 2982]
! 635:
! 636: [-210 -280 630 504 -876 70 2415]
! 637:
! 638: [-140 -210 504 420 -749 137 2050]
! 639:
! 640: [-105 -168 420 360 -658 169 1785]
! 641:
! 642: [-84 -140 360 315 -588 184 1582]
! 643:
! 644: [-70 -120 315 280 -532 190 1421]
! 645:
! 646: [-60 -105 280 252 -486 191 1290]
! 647:
! 648: ? qfminim([2,1;1,2],4,6)
! 649: [6, 2, [0, -1, 1; 1, 1, 0]]
! 650: ? qfperfection([2,0,1;0,2,1;1,1,2])
! 651: 6
! 652: ? qfsign(mathilbert(5)-0.11*matid(5))
! 653: [2, 3]
! 654: ? aset=Set([5,-2,7,3,5,1])
! 655: ["-2", "1", "3", "5", "7"]
! 656: ? bset=Set([7,5,-5,7,2])
! 657: ["-5", "2", "5", "7"]
! 658: ? setintersect(aset,bset)
! 659: ["5", "7"]
! 660: ? setisset([-3,5,7,7])
! 661: 0
! 662: ? setminus(aset,bset)
! 663: ["-2", "1", "3"]
! 664: ? setsearch(aset,3)
! 665: 3
! 666: ? setsearch(bset,3)
! 667: 0
! 668: ? setunion(aset,bset)
! 669: ["-2", "-5", "1", "2", "3", "5", "7"]
! 670: ? trace(1+I)
! 671: 2
! 672: ? trace(Mod(x+5,x^3+x+1))
! 673: 15
! 674: ? Vec(sin(x))
! 675: [1, 0, -1/6, 0, 1/120, 0, -1/5040, 0, 1/362880, 0, -1/39916800, 0, 1/6227020
! 676: 800, 0, -1/1307674368000]
! 677: ? vecmax([-3,7,-2,11])
! 678: 11
! 679: ? vecmin([-3,7,-2,11])
! 680: -3
! 681: ? concat([1,2],[3,4])
! 682: [1, 2, 3, 4]
! 683: ? concat(Mat(vector(4,x,x)~),vector(4,x,10+x)~)
! 684:
! 685: [1 11]
! 686:
! 687: [2 12]
! 688:
! 689: [3 13]
! 690:
! 691: [4 14]
! 692:
! 693: ? vecextract([1,2,3,4,5,6,7,8,9,10],1000)
! 694: [4, 6, 7, 8, 9, 10]
! 695: ? vecextract(matrix(15,15,x,y,x+y),vector(5,x,3*x),vector(3,y,3*y))
! 696:
! 697: [6 9 12]
! 698:
! 699: [9 12 15]
! 700:
! 701: [12 15 18]
! 702:
! 703: [15 18 21]
! 704:
! 705: [18 21 24]
! 706:
! 707: ? (1.*mathilbert(7))^(-1)
! 708:
! 709: [49.000000000000000000000000000000103566 -1176.00000000000000000000000000000
! 710: 42824 8820.0000000000000000000000000000421424 -29400.00000000000000000000000
! 711: 0000165821 48510.000000000000000000000000000306324 -38808.000000000000000000
! 712: 000000000266339 12012.000000000000000000000000000087656]
! 713:
! 714: [-1176.0000000000000000000000000000027736 37632.0000000000000000000000000001
! 715: 15103 -317520.00000000000000000000000000113213 1128960.000000000000000000000
! 716: 0000044496 -1940400.0000000000000000000000000082054 1596672.0000000000000000
! 717: 000000000071127 -504504.00000000000000000000000000233826]
! 718:
! 719: [8820.0000000000000000000000000000173507 -317520.000000000000000000000000000
! 720: 72412 2857680.0000000000000000000000000071262 -10584000.00000000000000000000
! 721: 0000027962 18711000.000000000000000000000000051435 -15717240.000000000000000
! 722: 000000000044456 5045040.0000000000000000000000000145745]
! 723:
! 724: [-29400.000000000000000000000000000039976 1128960.00000000000000000000000000
! 725: 16881 -10584000.000000000000000000000000016643 40320000.00000000000000000000
! 726: 0000065137 -72765000.000000000000000000000000119284 62092800.000000000000000
! 727: 000000000102568 -20180160.000000000000000000000000033446]
! 728:
! 729: [48510.000000000000000000000000000033880 -1940400.00000000000000000000000000
! 730: 14801 18711000.000000000000000000000000014677 -72765000.00000000000000000000
! 731: 0000057076 133402500.00000000000000000000000010330 -115259760.00000000000000
! 732: 000000000008758 37837800.000000000000000000000000028140]
! 733:
! 734: [-38808.000000000000000000000000000001890 1596672.00000000000000000000000000
! 735: 01577 -15717240.000000000000000000000000001694 62092800.00000000000000000000
! 736: 0000006074 -115259760.00000000000000000000000000925 100590336.00000000000000
! 737: 000000000000604 -33297264.000000000000000000000000001319]
! 738:
! 739: [12011.999999999999999999999999999993228 -504503.999999999999999999999999999
! 740: 74929 5045039.9999999999999999999999999975933 -20180159.99999999999999999999
! 741: 9999990337 37837799.999999999999999999999999981476 -33297263.999999999999999
! 742: 999999999983224 11099087.999999999999999999999999994238]
! 743:
! 744: ? vecsort([8,7,6,5],,1)
! 745: [4, 3, 2, 1]
! 746: ? vecsort([[1,5],[2,4],[1,5,1],[1,4,2]],,2)
! 747: [[1, 4, 2], [1, 5], [1, 5, 1], [2, 4]]
! 748: ? vecsort(vector(17,x,5*x%17))
! 749: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]
! 750: ? vecsort([[1,8,5],[2,5,8],[3,6,-6],[4,8,6]],2)
! 751: [[2, 5, 8], [3, 6, -6], [4, 8, 6], [1, 8, 5]]
! 752: ? vecsort([[1,8,5],[2,5,8],[3,6,-6],[4,8,6]],[2,1])
! 753: [[2, 5, 8], [3, 6, -6], [1, 8, 5], [4, 8, 6]]
! 754: ? vector(10,x,1/x)
! 755: [1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/7, 1/8, 1/9, 1/10]
! 756: ? setrand(1);a=matrix(3,5,j,k,vectorv(5,l,random\10^8))
! 757:
! 758: [[10, 7, 8, 7, 18]~ [17, 0, 9, 20, 10]~ [5, 4, 7, 18, 20]~ [0, 16, 4, 2, 0]~
! 759: [17, 19, 17, 1, 14]~]
! 760:
! 761: [[17, 16, 6, 3, 6]~ [17, 13, 9, 19, 6]~ [1, 14, 12, 20, 8]~ [6, 1, 8, 17, 21
! 762: ]~ [18, 17, 9, 10, 13]~]
! 763:
! 764: [[4, 13, 3, 17, 14]~ [14, 16, 11, 5, 4]~ [9, 11, 13, 7, 15]~ [19, 21, 2, 4,
! 765: 5]~ [14, 16, 6, 20, 14]~]
! 766:
! 767: ? setrand(1);as=matrix(3,3,j,k,vectorv(5,l,random\10^8))
! 768:
! 769: [[10, 7, 8, 7, 18]~ [17, 0, 9, 20, 10]~ [5, 4, 7, 18, 20]~]
! 770:
! 771: [[17, 16, 6, 3, 6]~ [17, 13, 9, 19, 6]~ [1, 14, 12, 20, 8]~]
! 772:
! 773: [[4, 13, 3, 17, 14]~ [14, 16, 11, 5, 4]~ [9, 11, 13, 7, 15]~]
! 774:
! 775: ? getheap
! 776: [111, 12057]
! 777: ? print("Total time spent: ",gettime);
! 778: Total time spent: 143
! 779: ? \q
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