/* 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 + 44*x^40 - 44*x^39 + 904*x^38 - 904*x^37 + 11525*x^36 - 11525*x^35 + 102212*x^34 - 102212*x^33 + 670199*x^32 - 670199*x^31 + 3371975*x^30 - 3371975*x^29 + 13342815*x^28 - 13342815*x^27 + 42258251*x^26 - 42258251*x^25 + 108593663*x^24 - 108593663*x^23 + 229203503*x^22 - 229203503*x^21 + 402580148*x^20 - 402580148*x^19 + 598327973*x^18 - 598327973*x^17 + 769983758*x^16 - 769983758*x^15 + 884984678*x^14 - 884984678*x^13 + 942485138*x^12 - 942485138*x^11 + 963249193*x^10 - 963249193*x^9 + 968416718*x^8 - 968416718*x^7 + 969243522*x^6 - 969243522*x^5 + 969319675*x^4 - 969319675*x^3 + 969322986*x^2 - 969322986*x + 969323029, 42, 1, [0, 21], -4472772095648327544266441640449519840379754819764800031247757188817501068115234375, [5, 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, 1/433494437*a^22 + 165580141/433494437*a^21 + 22/433494437*a^20 + 9227465/433494437*a^19 + 209/433494437*a^18 + 83047185/433494437*a^17 + 1122/433494437*a^16 - 159680836/433494437*a^15 + 3740/433494437*a^14 - 8638211/433494437*a^13 + 8008/433494437*a^12 - 81868677/433494437*a^11 + 11011/433494437*a^10 + 188934575/433494437*a^9 + 9438/433494437*a^8 + 156502726/433494437*a^7 + 4719/433494437*a^6 + 46530161/433494437*a^5 + 1210/433494437*a^4 + 24672046/433494437*a^3 + 121/433494437*a^2 + 9227465/433494437*a + 2/433494437, 1/433494437*a^23 + 23/433494437*a^21 - 165580141/433494437*a^20 + 230/433494437*a^19 + 156352676/433494437*a^18 + 1311/433494437*a^17 + 28514435/433494437*a^16 + 4692/433494437*a^15 + 185184922/433494437*a^14 + 10948/433494437*a^13 + 11844978/433494437*a^12 + 16744/433494437*a^11 - 169890391/433494437*a^10 + 16445/433494437*a^9 + 158577353/433494437*a^8 + 9867/433494437*a^7 - 169179744/433494437*a^6 + 3289/433494437*a^5 - 52868670/433494437*a^4 + 506/433494437*a^3 - 85225494/433494437*a^2 + 23/433494437*a + 102334155/433494437, 1/433494437*a^24 - 72473451/433494437*a^21 - 276/433494437*a^20 - 55879019/433494437*a^19 - 3496/433494437*a^18 - 147593072/433494437*a^17 - 21114/433494437*a^16 - 43605783/433494437*a^15 - 75072/433494437*a^14 + 210523831/433494437*a^13 - 167440/433494437*a^12 - 20888568/433494437*a^11 - 236808/433494437*a^10 + 148026498/433494437*a^9 - 207207/433494437*a^8 + 132707491/433494437*a^7 - 105248/433494437*a^6 + 177420938/433494437*a^5 - 27324/433494437*a^4 + 214306322/433494437*a^3 - 2760/433494437*a^2 - 109897540/433494437*a - 46/433494437, 1/433494437*a^25 - 300/433494437*a^21 - 195440845/433494437*a^20 - 4000/433494437*a^19 - 172947108/433494437*a^18 - 25650/433494437*a^17 + 208146520/433494437*a^16 - 97920/433494437*a^15 - 106286991/433494437*a^14 - 238000/433494437*a^13 - 102544103/433494437*a^12 - 374400/433494437*a^11 + 89936942/433494437*a^10 - 375375/433494437*a^9 + 82916443/433494437*a^8 - 228800/433494437*a^7 + 152525414/433494437*a^6 - 77220/433494437*a^5 - 92188679/433494437*a^4 - 12000/433494437*a^3 - 10498709/433494437*a^2 - 550/433494437*a + 144946902/433494437, 1/433494437*a^26 + 60235637/433494437*a^21 + 2600/433494437*a^20 - 5674230/433494437*a^19 + 37050/433494437*a^18 - 20375326/433494437*a^17 + 238680/433494437*a^16 + 107344716/433494437*a^15 + 884000/433494437*a^14 - 93040781/433494437*a^13 + 2028000/433494437*a^12 - 194977686/433494437*a^11 + 2927925/433494437*a^10 - 24482304/433494437*a^9 + 2602600/433494437*a^8 - 147550419/433494437*a^7 + 1338480/433494437*a^6 - 4962363/433494437*a^5 + 351000/433494437*a^4 + 21709662/433494437*a^3 + 35750/433494437*a^2 - 121274657/433494437*a + 600/433494437, 1/433494437*a^27 + 2925/433494437*a^21 - 30374933/433494437*a^20 + 43875/433494437*a^19 - 38284786/433494437*a^18 + 300105/433494437*a^17 + 148092174/433494437*a^16 + 1193400/433494437*a^15 + 42784079/433494437*a^14 + 2983500/433494437*a^13 - 82650401/433494437*a^12 + 4791150/433494437*a^11 - 32592701/433494437*a^10 + 4879875/433494437*a^9 + 93208919/433494437*a^8 + 3011580/433494437*a^7 + 115417306/433494437*a^6 + 1026675/433494437*a^5 - 36345692/433494437*a^4 + 160875/433494437*a^3 - 40381305/433494437*a^2 + 7425/433494437*a - 120471274/433494437, 1/433494437*a^28 - 139001229/433494437*a^21 - 20475/433494437*a^20 - 151964817/433494437*a^19 - 311220/433494437*a^18 - 8039231/433494437*a^17 - 2088450/433494437*a^16 - 197773707/433494437*a^15 - 7956000/433494437*a^14 + 41439428/433494437*a^13 - 18632250/433494437*a^12 + 144358300/433494437*a^11 - 27327300/433494437*a^10 + 164984219/433494437*a^9 - 24594570/433494437*a^8 + 115069228/433494437*a^7 - 12776400/433494437*a^6 - 19813399/433494437*a^5 - 3378375/433494437*a^4 + 187455124/433494437*a^3 - 346500/433494437*a^2 + 199343132/433494437*a - 5850/433494437, 1/433494437*a^29 - 23751/433494437*a^21 - 128398838/433494437*a^20 - 380016/433494437*a^19 - 909649/433494437*a^18 - 2707614/433494437*a^17 + 137102348/433494437*a^16 - 11074752/433494437*a^15 + 146205925/433494437*a^14 - 28263690/433494437*a^13 + 52485916/433494437*a^12 - 46108608/433494437*a^11 + 38659691/433494437*a^10 - 47549502/433494437*a^9 - 178992269/433494437*a^8 - 29641248/433494437*a^7 + 49903071/433494437*a^6 - 10189179/433494437*a^5 + 183100658/433494437*a^4 - 1607760/433494437*a^3 + 112208798/433494437*a^2 - 74646/433494437*a - 155491979/433494437, 1/433494437*a^30 - 96002411/433494437*a^21 + 142506/433494437*a^20 - 187573556/433494437*a^19 + 2256345/433494437*a^18 + 191104933/433494437*a^17 + 15573870/433494437*a^16 + 209499402/433494437*a^15 + 60565050/433494437*a^14 - 70794844/433494437*a^13 + 144089400/433494437*a^12 - 201737791/433494437*a^11 + 213972759/433494437*a^10 + 105181169/433494437*a^9 + 194520690/433494437*a^8 - 68648978/433494437*a^7 + 101891790/433494437*a^6 - 89859781/433494437*a^5 + 27130950/433494437*a^4 + 13494520/433494437*a^3 + 2799225/433494437*a^2 + 91338551/433494437*a + 47502/433494437, 1/433494437*a^31 + 169911/433494437*a^21 + 190501738/433494437*a^20 + 2831850/433494437*a^19 - 118629707/433494437*a^18 + 20753415/433494437*a^17 - 15910269/433494437*a^16 + 86654610/433494437*a^15 + 44828460/433494437*a^14 - 208834337/433494437*a^13 - 67304/433494437*a^12 - 62408813/433494437*a^11 - 105203153/433494437*a^10 - 46946912/433494437*a^9 - 1267290/433494437*a^8 - 190521707/433494437*a^7 - 56168937/433494437*a^6 + 84105945/433494437*a^5 - 97286/433494437*a^4 + 13350150/433494437*a^3 + 3280483/433494437*a^2 + 623007/433494437*a + 192004822/433494437, 1/433494437*a^32 + 92125587/433494437*a^21 - 906192/433494437*a^20 - 17056693/433494437*a^19 - 14757984/433494437*a^18 + 31257983/433494437*a^17 - 103985532/433494437*a^16 + 25531100/433494437*a^15 + 22687397/433494437*a^14 - 85161765/433494437*a^13 - 122572790/433494437*a^12 - 119414299/433494437*a^11 - 183859185/433494437*a^10 - 66802517/433494437*a^9 - 60163977/433494437*a^8 - 175091869/433494437*a^7 + 149284810/433494437*a^6 + 85259049/433494437*a^5 - 192242160/433494437*a^4 - 157521633/433494437*a^3 - 19936224/433494437*a^2 - 139916601/433494437*a - 339822/433494437, 1/433494437*a^33 - 1107568/433494437*a^21 + 123652578/433494437*a^20 - 18986880/433494437*a^19 - 149234472/433494437*a^18 - 142045596/433494437*a^17 - 167701508/433494437*a^16 - 169022555/433494437*a^15 - 6779730/433494437*a^14 + 152370644/433494437*a^13 - 53583221/433494437*a^12 - 37864482/433494437*a^11 - 84658394/433494437*a^10 - 170722298/433494437*a^9 - 66541353/433494437*a^8 - 20409964/433494437*a^7 + 139534307/433494437*a^6 - 177408427/433494437*a^5 + 212082843/433494437*a^4 - 97465984/433494437*a^3 - 16257266/433494437*a^2 - 4568718/433494437*a - 184251174/433494437, 1/433494437*a^34 - 166290932/433494437*a^21 + 5379616/433494437*a^20 - 169126064/433494437*a^19 + 89436116/433494437*a^18 + 86768601/433494437*a^17 + 206679867/433494437*a^16 + 102955119/433494437*a^15 - 40269406/433494437*a^14 + 196054958/433494437*a^13 + 161651322/433494437*a^12 + 120364671/433494437*a^11 - 113135286/433494437*a^10 + 87710296/433494437*a^9 + 28950332/433494437*a^8 + 31691418/433494437*a^7 - 152728279/433494437*a^6 - 23207017/433494437*a^5 - 57792015/433494437*a^4 + 197056130/433494437*a^3 + 129447010/433494437*a^2 - 204142766/433494437*a + 2215136/433494437, 1/433494437*a^35 + 6724520/433494437*a^21 + 21318944/433494437*a^20 + 117679100/433494437*a^19 + 162018429/433494437*a^18 + 27372286/433494437*a^17 - 154721524/433494437*a^16 - 60404109/433494437*a^15 + 59623543/433494437*a^14 + 214219149/433494437*a^13 + 83237663/433494437*a^12 - 205700520/433494437*a^11 + 36660660/433494437*a^10 - 84184954/433494437*a^9 - 197848743/433494437*a^8 - 165073479/433494437*a^7 + 78770121/433494437*a^6 + 137296779/433494437*a^5 - 165829355/433494437*a^4 + 213740613/433494437*a^3 - 23684096/433494437*a^2 + 30458120/433494437*a - 100912573/433494437, 1/433494437*a^36 - 14215270/433494437*a^21 - 30260340/433494437*a^20 - 150705628/433494437*a^19 - 77569083/433494437*a^18 + 65223022/433494437*a^17 + 197584317/433494437*a^16 + 43617901/433494437*a^15 + 207191695/433494437*a^14 + 84807820/433494437*a^13 + 131147945/433494437*a^12 + 61397188/433494437*a^11 - 325947/433494437*a^10 + 73215034/433494437*a^9 + 92589000/433494437*a^8 + 83288863/433494437*a^7 + 49380800/433494437*a^6 + 86088466/433494437*a^5 - 120028721/433494437*a^4 + 167465498/433494437*a^3 + 83780074/433494437*a^2 + 19857807/433494437*a - 13449040/433494437, 1/433494437*a^37 - 38608020/433494437*a^21 + 162030312/433494437*a^20 + 180624074/433494437*a^19 + 1753393/433494437*a^18 - 79643892/433494437*a^17 - 46143328/433494437*a^16 + 63100201/433494437*a^15 - 69898131/433494437*a^14 - 135342783/433494437*a^13 - 111757583/433494437*a^12 - 173187317/433494437*a^11 + 106061247/433494437*a^10 + 122144235/433494437*a^9 - 136268347/433494437*a^8 - 8526577/433494437*a^7 - 23690139/433494437*a^6 - 135077961/433494437*a^5 + 28164718/433494437*a^4 - 95615667/433494437*a^3 + 5927729/433494437*a^2 - 188750320/433494437*a + 28430540/433494437, 1/433494437*a^38 - 97344892/433494437*a^21 + 163011640/433494437*a^20 + 190301790/433494437*a^19 + 186532422/433494437*a^18 - 83185503/433494437*a^17 + 31854941/433494437*a^16 + 96736751/433494437*a^15 - 94995504/433494437*a^14 - 158142660/433494437*a^13 - 81696738/433494437*a^12 - 6064375/433494437*a^11 - 22990242/433494437*a^10 + 63851566/433494437*a^9 - 194855334/433494437*a^8 - 124374371/433494437*a^7 - 11495121/433494437*a^6 + 54195230/433494437*a^5 - 197310663/433494437*a^4 - 149805301/433494437*a^3 + 147875730/433494437*a^2 - 216515500/433494437*a + 77216040/433494437, 1/433494437*a^39 + 211915132/433494437*a^21 + 164417229/433494437*a^20 - 86977557/433494437*a^19 - 112341614/433494437*a^18 + 171231752/433494437*a^17 + 77107451/433494437*a^16 + 77224121/433494437*a^15 + 209920777/433494437*a^14 + 207911095/433494437*a^13 + 108833035/433494437*a^12 - 130171345/433494437*a^11 - 103285323/433494437*a^10 + 11307880/433494437*a^9 + 42004322/433494437*a^8 - 116586202/433494437*a^7 - 79362642/433494437*a^6 + 35350947/433494437*a^5 + 160521592/433494437*a^4 - 98035078/433494437*a^3 - 142133367/433494437*a^2 - 196293939/433494437*a + 194689784/433494437, 1/433494437*a^40 - 136245634/433494437*a^21 + 19328346/433494437*a^20 + 76154818/433494437*a^19 + 97401738/433494437*a^18 + 39597591/433494437*a^17 - 136602507/433494437*a^16 + 85203621/433494437*a^15 + 73148251/433494437*a^14 + 55172858/433494437*a^13 - 15827546/433494437*a^12 + 203897047/433494437*a^11 + 114343799/433494437*a^10 + 80287101/433494437*a^9 - 28269700/433494437*a^8 + 116853161/433494437*a^7 + 79509198/433494437*a^6 + 181407569/433494437*a^5 + 113361906/433494437*a^4 - 154320943/433494437*a^3 + 171641309/433494437*a^2 - 50308221/433494437*a + 9664173/433494437, 1/433494437*a^41 + 179383903/433494437*a^21 + 39097707/433494437*a^20 - 9387061/433494437*a^19 - 95697745/433494437*a^18 + 202781613/433494437*a^17 - 70731292/433494437*a^16 - 144003309/433494437*a^15 - 175613894/433494437*a^14 + 206045889/433494437*a^13 + 153436190/433494437*a^12 + 5128951/433494437*a^11 - 43283382/433494437*a^10 + 30909680/433494437*a^9 - 174847726/433494437*a^8 - 27408103/433494437*a^7 - 181190093/433494437*a^6 - 54862707/433494437*a^5 - 24989863/433494437*a^4 - 196673737/433494437*a^3 - 37375113/433494437*a^2 - 97124626/433494437*a - 161003169/433494437], 1, 0,0,0,0,0, [[x^2 - x + 54, 1], [x^3 - x^2 - 14*x - 8, 1], [x^6 - x^5 + 47*x^4 + 109*x^3 + 712*x^2 + 652*x + 1936, 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 + 45*x^12 + 67*x^11 + 585*x^10 + 2263*x^9 + 4916*x^8 + 17291*x^7 + 36289*x^6 + 71331*x^5 + 129077*x^4 + 181931*x^3 + 270017*x^2 + 169588*x + 119189, 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]]]