/* Data is in the following format Note, if the class group has not been computed, it, the class number, the fundamental units, regulator and whether grh was assumed are all 0. [polynomial, degree, t-number of Galois group, signature [r,s], discriminant, list of ramifying primes, integral basis as polynomials in a, 1 if it is a cm field otherwise 0, class number, class group structure, 1 if grh was assumed and 0 if not, fundamental units, regulator, list of subfields each as a pair [polynomial, number of subfields isomorphic to one defined by this polynomial] ] */ [x^42 - x^41 - 85*x^40 + 85*x^39 + 3355*x^38 - 3355*x^37 - 81613*x^36 + 81613*x^35 + 1369379*x^34 - 1369379*x^33 - 16806205*x^32 + 16806205*x^31 + 156107459*x^30 - 156107459*x^29 - 1120160061*x^28 + 1120160061*x^27 + 6282191555*x^26 - 6282191555*x^25 - 27681539389*x^24 + 27681539389*x^23 + 95822936771*x^22 - 95822936771*x^21 - 259252432189*x^20 + 259252432189*x^19 + 542530659011*x^18 - 542530659011*x^17 - 863673531709*x^16 + 863673531709*x^15 + 1020501541571*x^14 - 1020501541571*x^13 - 863673531709*x^12 + 863673531709*x^11 + 497119576771*x^10 - 497119576771*x^9 - 180198260029*x^8 + 180198260029*x^7 + 36543447747*x^6 - 36543447747*x^5 - 3382656317*x^4 + 3382656317*x^3 + 89178819*x^2 - 89178819*x - 998717, 42, 1, [42, 0], 5239206534209069133889646882729090965733830111939046184442828436267483950448112600301, [7, 43], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, a^12, a^13, a^14, a^15, a^16, a^17, a^18, a^19, a^20, a^21, 1/2209943*a^22 - 854722/2209943*a^21 - 44/2209943*a^20 + 539236/2209943*a^19 + 836/2209943*a^18 - 866476/2209943*a^17 - 8976/2209943*a^16 - 929326/2209943*a^15 + 59840/2209943*a^14 - 629881/2209943*a^13 - 256256/2209943*a^12 - 416390/2209943*a^11 + 704704/2209943*a^10 + 772293/2209943*a^9 + 1001879/2209943*a^8 - 1089697/2209943*a^7 - 1001879/2209943*a^6 - 54836/2209943*a^5 - 619520/2209943*a^4 - 1043737/2209943*a^3 + 123904/2209943*a^2 + 154043/2209943*a - 4096/2209943, 1/2209943*a^23 - 46/2209943*a^21 + 500499/2209943*a^20 + 920/2209943*a^19 - 130473/2209943*a^18 - 10488/2209943*a^17 + 8098/2209943*a^16 + 75072/2209943*a^15 - 986193/2209943*a^14 - 350336/2209943*a^13 - 606492/2209943*a^12 + 1071616/2209943*a^11 + 190102/2209943*a^10 + 104983/2209943*a^9 + 539757/2209943*a^8 + 316009/2209943*a^7 + 525653/2209943*a^6 + 525975/2209943*a^5 - 604776/2209943*a^4 + 518144/2209943*a^3 + 950228/2209943*a^2 - 47104/2209943*a - 391600/2209943, 1/2209943*a^24 + 962261/2209943*a^21 - 1104/2209943*a^20 + 365010/2209943*a^19 + 27968/2209943*a^18 - 70824/2209943*a^17 - 337824/2209943*a^16 + 463671/2209943*a^15 + 192361/2209943*a^14 - 851759/2209943*a^13 + 333555/2209943*a^12 + 925649/2209943*a^11 - 627778/2209943*a^10 + 706147/2209943*a^9 - 6360/2209943*a^8 - 981663/2209943*a^7 + 848344/2209943*a^6 - 917289/2209943*a^5 + 749483/2209943*a^4 - 652871/2209943*a^3 - 977349/2209943*a^2 + 64549/2209943*a - 188416/2209943, 1/2209943*a^25 - 1200/2209943*a^21 + 715577/2209943*a^20 + 32000/2209943*a^19 - 101768/2209943*a^18 - 410400/2209943*a^17 - 948780/2209943*a^16 + 923497/2209943*a^15 - 275191/2209943*a^14 + 237601/2209943*a^13 + 640525/2209943*a^12 - 695546/2209943*a^11 - 719705/2209943*a^10 - 1068451/2209943*a^9 - 115876/2209943*a^8 + 18621/2209943*a^7 + 426867/2209943*a^6 + 484668/2209943*a^5 + 527770/2209943*a^4 + 266627/2209943*a^3 + 712398/2209943*a^2 - 42857/2209943*a + 1092687/2209943, 1/2209943*a^26 + 462729/2209943*a^21 - 20800/2209943*a^20 - 531867/2209943*a^19 + 592800/2209943*a^18 + 163173/2209943*a^17 - 1007931/2209943*a^16 + 554824/2209943*a^15 - 882518/2209943*a^14 + 583831/2209943*a^13 - 1020669/2209943*a^12 - 940587/2209943*a^11 + 378123/2209943*a^10 + 669607/2209943*a^9 + 64429/2209943*a^8 + 1076723/2209943*a^7 + 438860/2209943*a^6 + 3980/8599*a^5 - 616525/2209943*a^4 - 944264/2209943*a^3 + 575762/2209943*a^2 + 309075/2209943*a - 495314/2209943, 1/2209943*a^27 - 23400/2209943*a^21 - 61278/2209943*a^20 + 702000/2209943*a^19 + 61754/2209943*a^18 - 763588/2209943*a^17 - 682512/2209943*a^16 - 970405/2209943*a^15 - 743682/2209943*a^14 + 432139/2209943*a^13 - 559571/2209943*a^12 + 16035/2209943*a^11 - 378187/2209943*a^10 + 949533/2209943*a^9 + 31586/2209943*a^8 + 987435/2209943*a^7 - 141946/2209943*a^6 - 974607/2209943*a^5 - 460258/2209943*a^4 + 380986/2209943*a^3 + 1096251/2209943*a^2 + 1052804/2209943*a - 793110/2209943, 1/2209943*a^28 - 571928/2209943*a^21 - 327600/2209943*a^20 - 590376/2209943*a^19 - 1090675/2209943*a^18 + 6113/2209943*a^17 - 1064220/2209943*a^16 + 1076981/2209943*a^15 - 415723/2209943*a^14 + 544839/2209943*a^13 - 799006/2209943*a^12 - 265500/2209943*a^11 + 428467/2209943*a^10 + 983875/2209943*a^9 - 329252/2209943*a^8 - 729412/2209943*a^7 + 342080/2209943*a^6 + 354225/2209943*a^5 + 839066/2209943*a^4 - 269456/2209943*a^3 + 961188/2209943*a^2 - 603943/2209943*a - 818851/2209943, 1/2209943*a^29 - 380016/2209943*a^21 + 764108/2209943*a^20 - 1099146/2209943*a^19 + 790233/2209943*a^18 - 911742/2209943*a^17 - 1061101/2209943*a^16 + 994793/2209943*a^15 - 670882/2209943*a^14 - 151258/2209943*a^13 + 962749/2209943*a^12 + 996170/2209943*a^11 + 368619/2209943*a^10 + 984071/2209943*a^9 - 937512/2209943*a^8 + 351637/2209943*a^7 + 562325/2209943*a^6 - 103629/2209943*a^5 - 942826/2209943*a^4 - 490360/2209943*a^3 - 469269/2209943*a^2 - 901585/2209943*a - 77508/2209943, 1/2209943*a^30 - 899019/2209943*a^21 - 140306/2209943*a^20 - 76609/2209943*a^19 + 759785/2209943*a^18 - 927546/2209943*a^17 - 86774/2209943*a^16 + 521017/2209943*a^15 - 307288/2209943*a^14 - 549131/2209943*a^13 + 754369/2209943*a^12 - 364878/2209943*a^11 + 1096538/2209943*a^10 + 118833/2209943*a^9 - 788282/2209943*a^8 - 403544/2209943*a^7 + 1036290/2209943*a^6 + 262288/2209943*a^5 - 564947/2209943*a^4 - 1079307/2209943*a^3 - 444679/2209943*a^2 - 452947/2209943*a - 745664/2209943, 1/2209943*a^31 - 1017266/2209943*a^21 + 145529/2209943*a^20 + 23074/2209943*a^19 - 728282/2209943*a^18 - 85634/2209943*a^17 - 571634/2209943*a^16 + 172326/2209943*a^15 + 105380/2209943*a^14 - 647993/2209943*a^13 + 550179/2209943*a^12 + 819898/2209943*a^11 + 364855/2209943*a^10 + 870146/2209943*a^9 - 825296/2209943*a^8 - 588768/2209943*a^7 + 684040/2209943*a^6 + 237613/2209943*a^5 - 445612/2209943*a^4 - 250825/2209943*a^3 - 579686/2209943*a^2 + 760058/2209943*a - 616786/2209943, 1/2209943*a^32 + 489397/2209943*a^21 - 537770/2209943*a^20 + 298863/2209943*a^19 - 479313/2209943*a^18 + 829243/2209943*a^17 + 677186/2209943*a^16 - 10853/2209943*a^15 - 330488/2209943*a^14 - 681861/2209943*a^13 + 760196/2209943*a^12 + 749925/2209943*a^11 - 70645/2209943*a^10 + 688914/2209943*a^9 - 238808/2209943*a^8 + 804324/2209943*a^7 - 112347/2209943*a^6 + 137218/2209943*a^5 - 808006/2209943*a^4 - 468150/2209943*a^3 - 12483/2209943*a^2 - 548592/2209943*a - 978981/2209943, 1/2209943*a^33 - 166176/2209943*a^21 - 267099/2209943*a^20 - 616660/2209943*a^19 + 532806/2209943*a^18 + 939489/2209943*a^17 - 550065/2209943*a^16 + 546591/2209943*a^15 - 33705/2209943*a^14 - 107174/2209943*a^13 - 387750/2209943*a^12 + 1102155/2209943*a^11 - 49880/2209943*a^10 - 404611/2209943*a^9 - 139115/2209943*a^8 - 274626/2209943*a^7 + 1080657/2209943*a^6 + 428037/2209943*a^5 - 158652/2209943*a^4 - 61028/2209943*a^3 - 168503/2209943*a^2 + 834450/2209943*a + 151811/2209943, 1/2209943*a^34 + 696382/2209943*a^21 + 911368/2209943*a^20 - 154422/2209943*a^19 + 636216/2209943*a^18 + 770324/2209943*a^17 + 662340/2209943*a^16 - 894241/2209943*a^15 - 878834/2209943*a^14 + 247446/2209943*a^13 + 896766/2209943*a^12 - 759190/2209943*a^11 - 392277/2209943*a^10 + 612557/2209943*a^9 - 295770/2209943*a^8 + 111462/2209943*a^7 + 449181/2209943*a^6 - 990799/2209943*a^5 + 778107/2209943*a^4 + 958197/2209943*a^3 + 666623/2209943*a^2 + 631610/2209943*a + 5548/2209943, 1/2209943*a^35 - 1070733/2209943*a^21 - 452816/2209943*a^20 - 93376/2209943*a^19 - 190019/2209943*a^18 + 535338/2209943*a^17 + 13/257*a^16 + 891692/2209943*a^15 - 566226/2209943*a^14 + 360896/2209943*a^13 + 619295/2209943*a^12 - 512327/2209943*a^11 - 415848/2209943*a^10 + 488784/2209943*a^9 - 335501/2209943*a^8 + 17981/2209943*a^7 - 543836/2209943*a^6 - 233581/2209943*a^5 + 672320/2209943*a^4 - 1086771/2209943*a^3 - 1079169/2209943*a^2 + 76285/2209943*a - 655741/2209943, 1/2209943*a^36 - 118825/2209943*a^21 - 796825/2209943*a^20 - 957983/2209943*a^19 + 641211/2209943*a^18 + 675481/2209943*a^17 + 1034391/2209943*a^16 - 597289/2209943*a^15 + 146217/2209943*a^14 + 1071148/2209943*a^13 - 164981/2209943*a^12 - 189126/2209943*a^11 + 638554/2209943*a^10 + 583585/2209943*a^9 + 1024057/2209943*a^8 - 315799/2209943*a^7 + 970286/2209943*a^6 - 276844/2209943*a^5 - 684165/2209943*a^4 - 973176/2209943*a^3 + 879741/2209943*a^2 - 828027/2209943*a + 1014487/2209943, 1/2209943*a^37 - 788024/2209943*a^21 + 443546/2209943*a^20 + 271569/2209943*a^19 + 565746/2209943*a^18 + 1058118/2209943*a^17 + 231980/2209943*a^16 - 583909/2209943*a^15 - 37426/2209943*a^14 + 574718/2209943*a^13 + 996271/2209943*a^12 - 699312/2209943*a^11 + 86172/2209943*a^10 + 856707/2209943*a^9 + 536909/2209943*a^8 + 494574/2209943*a^7 + 1080391/2209943*a^6 + 550042/2209943*a^5 - 25903/2209943*a^4 + 831876/2209943*a^3 - 575493/2209943*a^2 + 216093/2209943*a - 519740/2209943, 1/2209943*a^38 + 1001872/2209943*a^21 + 957601/2209943*a^20 - 784516/2209943*a^19 - 926775/2209943*a^18 + 227323/2209943*a^17 + 140210/2209943*a^16 - 317910/2209943*a^15 + 167144/2209943*a^14 - 521244/2209943*a^13 - 825888/2209943*a^12 + 479623/2209943*a^11 - 1005152/2209943*a^10 + 802886/2209943*a^9 + 844977/2209943*a^8 + 193458/2209943*a^7 + 199639/2209943*a^6 - 1094488/2209943*a^5 + 501583/2209943*a^4 - 425270/2209943*a^3 - 159837/2209943*a^2 - 897755/2209943*a + 980419/2209943, 1/2209943*a^39 + 1023887/2209943*a^21 - 901008/2209943*a^20 + 709099/2209943*a^19 + 230728/2209943*a^18 - 576263/2209943*a^17 + 227095/2209943*a^16 - 800028/2209943*a^15 + 1001923/2209943*a^14 - 962021/2209943*a^13 + 482716/2209943*a^12 - 253239/2209943*a^11 - 863077/2209943*a^10 + 725812/2209943*a^9 - 423373/2209943*a^8 + 961050/2209943*a^7 - 477657/2209943*a^6 - 28405/2209943*a^5 - 854924/2209943*a^4 + 936802/2209943*a^3 + 72153/2209943*a^2 + 981328/2209943*a - 196439/2209943, 1/2209943*a^40 + 415406/2209943*a^21 - 648676/2209943*a^20 + 189915/2209943*a^19 + 912089/2209943*a^18 + 961729/2209943*a^17 + 666690/2209943*a^16 - 505653/2209943*a^15 + 309574/2209943*a^14 - 215527/2209943*a^13 - 758785/2209943*a^12 - 128878/2209943*a^11 + 1011092/2209943*a^10 + 728509/2209943*a^9 - 790826/2209943*a^8 + 1031944/2209943*a^7 - 486472/2209943*a^6 - 799250/2209943*a^5 - 528248/2209943*a^4 + 51533/2209943*a^3 - 935605/2209943*a^2 + 810330/2209943*a - 630662/2209943, 1/2209943*a^41 - 73753/2209943*a^21 + 788235/2209943*a^20 + 1074696/2209943*a^19 + 643364/2209943*a^18 - 50293/2209943*a^17 + 4762/2209943*a^16 - 406911/2209943*a^15 - 671703/2209943*a^14 + 546644/2209943*a^13 - 593309/2209943*a^12 - 323178/2209943*a^11 + 348237/2209943*a^10 - 721417/2209943*a^9 - 210398/2209943*a^8 - 859066/2209943*a^7 + 443092/2209943*a^6 + 792667/2209943*a^5 + 94417/2209943*a^4 + 539561/2209943*a^3 - 82224/2209943*a^2 + 92388/2209943*a - 153134/2209943], 0, 0,0,0,0,0, [[x^2 - x - 75, 1], [x^3 - x^2 - 14*x - 8, 1], [x^6 - x^5 - 82*x^4 - 149*x^3 + 841*x^2 + 910*x - 2708, 1], [x^7 - x^6 - 18*x^5 + 35*x^4 + 38*x^3 - 104*x^2 + 7*x + 49, 1], [x^14 - x^13 - 84*x^12 - 62*x^11 + 2391*x^10 + 4843*x^9 - 24883*x^8 - 80749*x^7 + 53575*x^6 + 433047*x^5 + 354827*x^4 - 383992*x^3 - 530299*x^2 + 64582*x + 187817, 1], [x^21 - x^20 - 20*x^19 + 19*x^18 + 171*x^17 - 153*x^16 - 816*x^15 + 680*x^14 + 2380*x^13 - 1820*x^12 - 4368*x^11 + 3003*x^10 + 5005*x^9 - 3003*x^8 - 3432*x^7 + 1716*x^6 + 1287*x^5 - 495*x^4 - 220*x^3 + 55*x^2 + 11*x - 1, 1]]]