/* 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^20 + 45*x^18 - 20*x^17 + 825*x^16 - 412*x^15 + 7690*x^14 - 4020*x^13 + 36615*x^12 - 25260*x^11 + 83607*x^10 - 105290*x^9 + 81705*x^8 - 248640*x^7 + 77610*x^6 - 221386*x^5 + 195565*x^4 + 93660*x^3 + 237545*x^2 + 181770*x + 88159, 20, 16, [0, 10], 239309216447570156250000000000000000, [2, 3, 5, 11], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, 1/2*a^10 - 1/2*a^9 - 1/2*a^8 - 1/2*a^6 - 1/2*a^5 - 1/2*a^4 - 1/2*a^2 - 1/2*a - 1/2, 1/2*a^11 - 1/2*a^8 - 1/2*a^7 - 1/2*a^4 - 1/2*a^3 - 1/2, 1/2*a^12 - 1/2*a^9 - 1/2*a^8 - 1/2*a^5 - 1/2*a^4 - 1/2*a, 1/2*a^13 - 1/2*a^8 - 1/2*a^4 - 1/2*a - 1/2, 1/4*a^14 - 1/4*a^13 - 1/4*a^11 - 1/4*a^10 + 1/4*a^8 - 1/4*a^7 + 1/4*a^6 - 1/2*a^5 - 1/4*a^4 + 1/4*a^3 - 1/4*a + 1/4, 1/4*a^15 - 1/4*a^13 - 1/4*a^12 - 1/4*a^10 + 1/4*a^9 - 1/2*a^8 - 1/2*a^7 - 1/4*a^6 + 1/4*a^5 - 1/2*a^4 - 1/4*a^3 - 1/4*a^2 - 1/4, 1/8*a^16 - 1/4*a^10 - 1/2*a^9 - 3/8*a^8 - 1/2*a^7 - 1/4*a^5 + 1/4*a^3 + 1/4*a^2 + 1/4*a - 1/8, 1/8*a^17 - 1/4*a^11 + 1/8*a^9 + 1/4*a^6 - 1/2*a^5 - 1/4*a^4 + 1/4*a^3 - 1/4*a^2 + 3/8*a - 1/2, 1/150704*a^18 + 255/150704*a^17 - 7703/150704*a^16 + 3005/37676*a^15 + 423/18838*a^14 - 738/9419*a^13 - 1383/75352*a^12 + 16773/75352*a^11 + 25643/150704*a^10 + 44471/150704*a^9 - 55551/150704*a^8 - 30989/75352*a^7 - 35673/75352*a^6 + 18763/37676*a^5 - 8249/18838*a^4 - 19987/75352*a^3 - 24541/150704*a^2 - 72193/150704*a - 7397/150704, 1/16907910279004127625606838237836253491121857104*a^19 + 1480116342550041532962905096628932117029/8453955139502063812803419118918126745560928552*a^18 + 455562388597189178923960918894284083901304009/8453955139502063812803419118918126745560928552*a^17 + 213351696137060347296139771823612038300749679/16907910279004127625606838237836253491121857104*a^16 + 86510511298311419513181458184407656828375502/1056744392437757976600427389864765843195116069*a^15 + 189225310253200881074344289128571345909562935/4226977569751031906401709559459063372780464276*a^14 + 558920186169338066841674388304575437999065685/8453955139502063812803419118918126745560928552*a^13 + 167030094425057398640953640505124917907645857/4226977569751031906401709559459063372780464276*a^12 - 16306106469466206705145307090528637940477987/16907910279004127625606838237836253491121857104*a^11 + 393216867686620746151408125809640229129706181/2113488784875515953200854779729531686390232138*a^10 - 875496075794005198863121439125021264160248949/8453955139502063812803419118918126745560928552*a^9 + 3929625997393323599899234848590645575557416037/16907910279004127625606838237836253491121857104*a^8 + 1808943290404152302260523233915726769403038689/4226977569751031906401709559459063372780464276*a^7 - 1889651628580927011664060338049230175406966385/8453955139502063812803419118918126745560928552*a^6 - 298452939254568548928210010076283560540783255/2113488784875515953200854779729531686390232138*a^5 + 203671561534760220474507634226360450123367599/8453955139502063812803419118918126745560928552*a^4 + 3557289120543066109027526209385073455570391345/16907910279004127625606838237836253491121857104*a^3 - 928445147086216350223360705647606932775494959/4226977569751031906401709559459063372780464276*a^2 - 988994070248911154690260980587746291721588215/2113488784875515953200854779729531686390232138*a - 6857745752976460440380870811982002189694602215/16907910279004127625606838237836253491121857104], 0, 4, [2, 2], 1, [ (17256424962616112438341190922179396951486)/(1056744392437757976600427389864765843195116069)*a^(19) - (322928539477004911159073920258561853557737)/(16907910279004127625606838237836253491121857104)*a^(18) + (12436181987570346362336951424045368005990429)/(16907910279004127625606838237836253491121857104)*a^(17) - (19768450733931366625959458301331200793508645)/(16907910279004127625606838237836253491121857104)*a^(16) + (29368295540881357473055942769057908531247539)/(2113488784875515953200854779729531686390232138)*a^(15) - (22984014150571804665822875907864546381029484)/(1056744392437757976600427389864765843195116069)*a^(14) + (566769805611984079418148788561109380939932291)/(4226977569751031906401709559459063372780464276)*a^(13) - (1687249165152538481881342113698299254857455503)/(8453955139502063812803419118918126745560928552)*a^(12) + (5740970671187674235740167691915265381269427775)/(8453955139502063812803419118918126745560928552)*a^(11) - (16849430762255308287011343378708578267389215791)/(16907910279004127625606838237836253491121857104)*a^(10) + (31162731792073313150460327606038785700858677921)/(16907910279004127625606838237836253491121857104)*a^(9) - (47561822138296009669971382925763182659101528869)/(16907910279004127625606838237836253491121857104)*a^(8) + (25642156656944914147671364518297961357068748897)/(8453955139502063812803419118918126745560928552)*a^(7) - (39670792429658786426572370709737202135141951517)/(8453955139502063812803419118918126745560928552)*a^(6) + (8856751322971697868331467466982810216816861063)/(2113488784875515953200854779729531686390232138)*a^(5) - (9632676520332220092251163393131870179265963595)/(2113488784875515953200854779729531686390232138)*a^(4) + (32756183305843873702918765259847582192946766877)/(8453955139502063812803419118918126745560928552)*a^(3) - (16661352858317184106469176073334496325642459543)/(16907910279004127625606838237836253491121857104)*a^(2) + (21993959147906583379059143117424898615448019413)/(16907910279004127625606838237836253491121857104)*a + (30121764350871559131964682133420988316042097845)/(16907910279004127625606838237836253491121857104) , (42200898664504217195853848233037856898833)/(4226977569751031906401709559459063372780464276)*a^(19) - (193301205243663384736699605004293218818129)/(8453955139502063812803419118918126745560928552)*a^(18) + (3692548223412529853142674319696973385918207)/(8453955139502063812803419118918126745560928552)*a^(17) - (5029254986082864904565212730388694300037475)/(4226977569751031906401709559459063372780464276)*a^(16) + (34435509011718786192203209121647283334894937)/(4226977569751031906401709559459063372780464276)*a^(15) - (88822853658005573199121817047845069315588807)/(4226977569751031906401709559459063372780464276)*a^(14) + (159975489802050623075782414505810976821791973)/(2113488784875515953200854779729531686390232138)*a^(13) - (190811193574107692811499103497345843059872629)/(1056744392437757976600427389864765843195116069)*a^(12) + (1500301587718928322628412652293126688606476693)/(4226977569751031906401709559459063372780464276)*a^(11) - (6528795905338764693261406096305347675423961177)/(8453955139502063812803419118918126745560928552)*a^(10) + (7405633408192007296439433227879011367015237641)/(8453955139502063812803419118918126745560928552)*a^(9) - (1599478335009265563265086867294744223608609722)/(1056744392437757976600427389864765843195116069)*a^(8) + (1610818572853376472342447072875291010973285198)/(1056744392437757976600427389864765843195116069)*a^(7) - (4822874461312888221488630252068248316531245081)/(4226977569751031906401709559459063372780464276)*a^(6) + (5205321144187767282398675590928429468485263933)/(2113488784875515953200854779729531686390232138)*a^(5) - (2039430847784710786959082811878296682613689175)/(4226977569751031906401709559459063372780464276)*a^(4) + (488746090522093374435538962012664417884162293)/(4226977569751031906401709559459063372780464276)*a^(3) + (7307682474540380618814765477148905860259815505)/(8453955139502063812803419118918126745560928552)*a^(2) - (30314835786426329526215951019425239813775791433)/(8453955139502063812803419118918126745560928552)*a + (579388936312195060743173508847648058110263791)/(4226977569751031906401709559459063372780464276) , (6977685102631774534396899264536576855)/(265881090058562832205416376868729612075762)*a^(19) + (53593775578829129007601863069614800273)/(2127048720468502657643331014949836896606096)*a^(18) + (2465644414907265038064549232119732483571)/(2127048720468502657643331014949836896606096)*a^(17) + (1246182473701799132817585306305963768129)/(2127048720468502657643331014949836896606096)*a^(16) + (2684236152859655485338556695124102285368)/(132940545029281416102708188434364806037881)*a^(15) + (4978543669634989314900888104052623504265)/(531762180117125664410832753737459224151524)*a^(14) + (23267043697439405111715475009093115946718)/(132940545029281416102708188434364806037881)*a^(13) + (82420737193934379167473963137983203621479)/(1063524360234251328821665507474918448303048)*a^(12) + (767531599594479798280750491781194799243211)/(1063524360234251328821665507474918448303048)*a^(11) + (340338909923151058549608299394141250583723)/(2127048720468502657643331014949836896606096)*a^(10) + (2196283449709066491285703675156420851971015)/(2127048720468502657643331014949836896606096)*a^(9) - (2118868961080998179702357279148218157670451)/(2127048720468502657643331014949836896606096)*a^(8) - (1052873531586008199160560858407856347857683)/(1063524360234251328821665507474918448303048)*a^(7) - (4416725025484640278333693144484502846326449)/(1063524360234251328821665507474918448303048)*a^(6) - (338521218712026202701298720891108625476654)/(132940545029281416102708188434364806037881)*a^(5) - (467693287805979005165198580880691645196361)/(531762180117125664410832753737459224151524)*a^(4) + (2437547991243083322757914278290206994525225)/(1063524360234251328821665507474918448303048)*a^(3) + (16030147462492556386353244178475240727272983)/(2127048720468502657643331014949836896606096)*a^(2) + (12409514448086116087365872219995025643078647)/(2127048720468502657643331014949836896606096)*a + (11610752940237220203876871247814222941480139)/(2127048720468502657643331014949836896606096) , (19606584806501132332693249608391079112980)/(1056744392437757976600427389864765843195116069)*a^(19) - (3544811033265135827434419573572975674449)/(1056744392437757976600427389864765843195116069)*a^(18) + (876915516234367716246507036925949315665733)/(1056744392437757976600427389864765843195116069)*a^(17) - (548751295546705106221556755995638062645492)/(1056744392437757976600427389864765843195116069)*a^(16) + (16042006126327400422659840896085215001760509)/(1056744392437757976600427389864765843195116069)*a^(15) - (10798994788965445206560498613890982522216045)/(1056744392437757976600427389864765843195116069)*a^(14) + (149343243428191560430810073347238518075084001)/(1056744392437757976600427389864765843195116069)*a^(13) - (103696862911341425629409546955326794016127060)/(1056744392437757976600427389864765843195116069)*a^(12) + (717327236890628257437119633009814811418921837)/(1056744392437757976600427389864765843195116069)*a^(11) - (619580070076444987500251815292934388878022167)/(1056744392437757976600427389864765843195116069)*a^(10) + (1752690358128761502663844135136451393313611165)/(1056744392437757976600427389864765843195116069)*a^(9) - (2436283266456961938682324852708552265095434454)/(1056744392437757976600427389864765843195116069)*a^(8) + (2354156612922996793609445210528311161987610341)/(1056744392437757976600427389864765843195116069)*a^(7) - (5720137850537806169962868463084599995851871396)/(1056744392437757976600427389864765843195116069)*a^(6) + (3160555738777843317224883973528048566478773954)/(1056744392437757976600427389864765843195116069)*a^(5) - (6047283324516472931940581678329248169958099205)/(1056744392437757976600427389864765843195116069)*a^(4) + (5500497130683223255961438409906656562100845226)/(1056744392437757976600427389864765843195116069)*a^(3) - (492842768463124704787400649133768254567258246)/(1056744392437757976600427389864765843195116069)*a^(2) + (7372230054258158287136560686892037208886545290)/(1056744392437757976600427389864765843195116069)*a + (2235416007153809006244318846479016423224669454)/(1056744392437757976600427389864765843195116069) , (58473900775371772472589437545392092015121)/(1056744392437757976600427389864765843195116069)*a^(19) - (2641142055881216787979553671795665115314535)/(16907910279004127625606838237836253491121857104)*a^(18) + (39513456208415225444710600394631844723741955)/(16907910279004127625606838237836253491121857104)*a^(17) - (133617411182679963634818847965939264653847371)/(16907910279004127625606838237836253491121857104)*a^(16) + (89376329587808242079627433528484469966324207)/(2113488784875515953200854779729531686390232138)*a^(15) - (585507172585867499865400959210675925502624631)/(4226977569751031906401709559459063372780464276)*a^(14) + (794291478713530277042202736471000911213723737)/(2113488784875515953200854779729531686390232138)*a^(13) - (10091581202249426944221600782438919232442363505)/(8453955139502063812803419118918126745560928552)*a^(12) + (14130023079169795907538161237699381019212466975)/(8453955139502063812803419118918126745560928552)*a^(11) - (87087130669340255114103093362277405423629074117)/(16907910279004127625606838237836253491121857104)*a^(10) + (75545336888502184028472344171141412248182966111)/(16907910279004127625606838237836253491121857104)*a^(9) - (172684178100364396414622310659154761592926583871)/(16907910279004127625606838237836253491121857104)*a^(8) + (101486925017904961023095583317047628716211075421)/(8453955139502063812803419118918126745560928552)*a^(7) - (63655460718253190691466403869525500723149993497)/(8453955139502063812803419118918126745560928552)*a^(6) + (26643406008936455201055379878181079284584526200)/(1056744392437757976600427389864765843195116069)*a^(5) - (25632617362043386763805391595145648570660398181)/(4226977569751031906401709559459063372780464276)*a^(4) + (64976939484334363157624269779513979958880653277)/(8453955139502063812803419118918126745560928552)*a^(3) - (299317377230381960488513132124691197438230711625)/(16907910279004127625606838237836253491121857104)*a^(2) - (290697086807105963402266644981824908340775085841)/(16907910279004127625606838237836253491121857104)*a - (192576721311696297956146769671486354387978034441)/(16907910279004127625606838237836253491121857104) , (1090064059586711267778381372911824308244697)/(16907910279004127625606838237836253491121857104)*a^(19) - (5227542682325228559639284068163708471433427)/(16907910279004127625606838237836253491121857104)*a^(18) + (48132378552925970747382418237926063433087677)/(16907910279004127625606838237836253491121857104)*a^(17) - 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