/* 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^21 - 5*x^20 + 11*x^19 - 20*x^18 + 37*x^17 - 68*x^16 + 120*x^15 - 168*x^14 + 237*x^13 - 331*x^12 + 362*x^11 - 431*x^10 + 452*x^9 - 381*x^8 + 350*x^7 - 238*x^6 + 169*x^5 - 90*x^4 + 43*x^3 + 6*x^2 + 27, 21, 139, [3, 9], -3960879820606443846053527, [13, 1801, 193327], [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, 1/3*a^19 + 1/3*a^18 - 1/3*a^17 + 1/3*a^16 + 1/3*a^15 + 1/3*a^14 - 1/3*a^10 - 1/3*a^9 + 1/3*a^8 - 1/3*a^7 - 1/3*a^5 - 1/3*a^4 + 1/3*a^3 + 1/3*a, 1/860153495355557217*a^20 + 181578608182792/860153495355557217*a^19 + 52575980687782442/860153495355557217*a^18 + 314489200548185155/860153495355557217*a^17 - 397364443881064868/860153495355557217*a^16 + 260490419820728083/860153495355557217*a^15 + 40292578962412640/95572610595061913*a^14 + 105710859436732222/286717831785185739*a^13 - 44911611440406269/286717831785185739*a^12 - 267143808405119254/860153495355557217*a^11 - 412540822785471286/860153495355557217*a^10 - 216459893359979384/860153495355557217*a^9 - 129466399558311343/860153495355557217*a^8 - 23402351702819640/95572610595061913*a^7 + 160713392039199359/860153495355557217*a^6 - 321587809763497516/860153495355557217*a^5 - 368615916599978978/860153495355557217*a^4 + 142990715126005727/286717831785185739*a^3 + 196925523467236531/860153495355557217*a^2 - 89655634718498909/286717831785185739*a + 31206378164293990/95572610595061913], 0, 1, [], 1, [ (16557302920613303)/(860153495355557217)*a^(20) - (36514930510804807)/(860153495355557217)*a^(19) - (3254501596480952)/(860153495355557217)*a^(18) + (47315635961599256)/(860153495355557217)*a^(17) - (101909692778863498)/(860153495355557217)*a^(16) + (97363749724216820)/(860153495355557217)*a^(15) - (121784256554375626)/(286717831785185739)*a^(14) + (409813322939165027)/(286717831785185739)*a^(13) - (488265987010682503)/(286717831785185739)*a^(12) + (2432909385507194401)/(860153495355557217)*a^(11) - (3713457948841093631)/(860153495355557217)*a^(10) + (4339923586667920883)/(860153495355557217)*a^(9) - (5952982445803746896)/(860153495355557217)*a^(8) + (1813006518754084243)/(286717831785185739)*a^(7) - (5584007833124833235)/(860153495355557217)*a^(6) + (4464876024092590093)/(860153495355557217)*a^(5) - (2636250474357359653)/(860153495355557217)*a^(4) + (232803841487582619)/(95572610595061913)*a^(3) - (1038708491113532650)/(860153495355557217)*a^(2) - (170815757787067952)/(286717831785185739)*a + (10761177944975513)/(95572610595061913) , (34576854493375760)/(860153495355557217)*a^(20) - (144317226102594451)/(860153495355557217)*a^(19) + (267749311927219093)/(860153495355557217)*a^(18) - (423713963297580373)/(860153495355557217)*a^(17) + (732017091508488455)/(860153495355557217)*a^(16) - (1471100469737017831)/(860153495355557217)*a^(15) + (821312004702557336)/(286717831785185739)*a^(14) - (985224555136940005)/(286717831785185739)*a^(13) + (1339608803406066929)/(286717831785185739)*a^(12) - (5319315479173828400)/(860153495355557217)*a^(11) + (5559143207867572096)/(860153495355557217)*a^(10) - (5614419000037914625)/(860153495355557217)*a^(9) + (5609300705549071003)/(860153495355557217)*a^(8) - (1523930922496372037)/(286717831785185739)*a^(7) + (2614229334762132640)/(860153495355557217)*a^(6) - (2511433618707023075)/(860153495355557217)*a^(5) + (1830812016240251171)/(860153495355557217)*a^(4) - (165422114435432023)/(95572610595061913)*a^(3) + (347897773474411670)/(860153495355557217)*a^(2) - (248932509765208133)/(286717831785185739)*a + (20209685221246977)/(95572610595061913) , (46191308587585415)/(860153495355557217)*a^(20) - (263322624004036636)/(860153495355557217)*a^(19) + (611003975951001265)/(860153495355557217)*a^(18) - (1003410025715125807)/(860153495355557217)*a^(17) + (1745756710543597427)/(860153495355557217)*a^(16) - (3286188286410630802)/(860153495355557217)*a^(15) + (1997691135637989359)/(286717831785185739)*a^(14) - (2756796813898322743)/(286717831785185739)*a^(13) + (3472418361097002734)/(286717831785185739)*a^(12) - (14839053432761223326)/(860153495355557217)*a^(11) + (16680971672722903363)/(860153495355557217)*a^(10) - (17810210697580303246)/(860153495355557217)*a^(9) + (18413297990289574864)/(860153495355557217)*a^(8) - (4893360062964102854)/(286717831785185739)*a^(7) + (12203276612327560414)/(860153495355557217)*a^(6) - (7712110382385241652)/(860153495355557217)*a^(5) + (5509011983661124202)/(860153495355557217)*a^(4) - (285567961893907755)/(95572610595061913)*a^(3) + (742579605604875980)/(860153495355557217)*a^(2) + (444431080144681321)/(286717831785185739)*a + (9226423870132903)/(95572610595061913) , (17928842280338858)/(860153495355557217)*a^(20) - (130572198725576119)/(860153495355557217)*a^(19) + (348418606014317395)/(860153495355557217)*a^(18) - (548063091369806536)/(860153495355557217)*a^(17) + (900152890454209838)/(860153495355557217)*a^(16) - (1756197013256348695)/(860153495355557217)*a^(15) + (1099817380481732891)/(286717831785185739)*a^(14) - (1575357666670991887)/(286717831785185739)*a^(13) + (1807202295357772970)/(286717831785185739)*a^(12) - (7832827745395330796)/(860153495355557217)*a^(11) + (9830899326132804016)/(860153495355557217)*a^(10) - (9030620027049261079)/(860153495355557217)*a^(9) + (9454637291944746826)/(860153495355557217)*a^(8) - (2732608760207436527)/(286717831785185739)*a^(7) + (4794432706141548970)/(860153495355557217)*a^(6) - (2730931899357052541)/(860153495355557217)*a^(5) + (1862290405274684993)/(860153495355557217)*a^(4) - (17538650010236796)/(95572610595061913)*a^(3) - (655787833703261668)/(860153495355557217)*a^(2) + (394609340714893819)/(286717831785185739)*a - (49453412666753286)/(95572610595061913) , (2109682243852139)/(286717831785185739)*a^(20) - (8846581203204330)/(95572610595061913)*a^(19) + (94955085233169467)/(286717831785185739)*a^(18) - (166336434826272053)/(286717831785185739)*a^(17) + (85666143093215234)/(95572610595061913)*a^(16) - (161892526739418412)/(95572610595061913)*a^(15) + (942710279968043224)/(286717831785185739)*a^(14) - (514575143596729441)/(95572610595061913)*a^(13) + (603036514136626759)/(95572610595061913)*a^(12) - (2406975357230134529)/(286717831785185739)*a^(11) + (1150630329749535616)/(95572610595061913)*a^(10) - (3373725566350726409)/(286717831785185739)*a^(9) + (3628885447532362865)/(286717831785185739)*a^(8) - (3415667320447382149)/(286717831785185739)*a^(7) + (2306371705815578632)/(286717831785185739)*a^(6) - (723395990636204792)/(95572610595061913)*a^(5) + (1134037798148012194)/(286717831785185739)*a^(4) - (508368747316618121)/(286717831785185739)*a^(3) + (137529131509168901)/(286717831785185739)*a^(2) + (292859224882139554)/(286717831785185739)*a - (117397504203310509)/(95572610595061913) , (38084218617811985)/(860153495355557217)*a^(20) - (205466325230654308)/(860153495355557217)*a^(19) + (472625459566571080)/(860153495355557217)*a^(18) - (781733871576319501)/(860153495355557217)*a^(17) + (1340900643902701124)/(860153495355557217)*a^(16) - (2531111516997932377)/(860153495355557217)*a^(15) + (502071233167124742)/(95572610595061913)*a^(14) - (2063245202888870758)/(286717831785185739)*a^(13) + (2603699185738141661)/(286717831785185739)*a^(12) - (10816880715049881620)/(860153495355557217)*a^(11) + (12104788896198257827)/(860153495355557217)*a^(10) - (12210931015133641285)/(860153495355557217)*a^(9) + (12301038570508002316)/(860153495355557217)*a^(8) - (1033690382013199941)/(95572610595061913)*a^(7) + (6394206180400611193)/(860153495355557217)*a^(6) - (3654097296648486353)/(860153495355557217)*a^(5) + (1322147619231528248)/(860153495355557217)*a^(4) + (69084027740570929)/(286717831785185739)*a^(3) - (1284251755933424932)/(860153495355557217)*a^(2) + (656617797000500783)/(286717831785185739)*a - (108741365847411198)/(95572610595061913) , (11183185105764365)/(860153495355557217)*a^(20) - (117313942082928631)/(860153495355557217)*a^(19) + (420509809430653444)/(860153495355557217)*a^(18) - (839392243990593703)/(860153495355557217)*a^(17) + (1402264688856276272)/(860153495355557217)*a^(16) - (2447712917353973599)/(860153495355557217)*a^(15) + (508030233952897362)/(95572610595061913)*a^(14) - (2544666603321708277)/(286717831785185739)*a^(13) + (3332966131139426135)/(286717831785185739)*a^(12) - (13127782726520350556)/(860153495355557217)*a^(11) + (16866713255291837173)/(860153495355557217)*a^(10) - (18340263133688968777)/(860153495355557217)*a^(9) + (19625643655155696634)/(860153495355557217)*a^(8) - (1952021810386585415)/(95572610595061913)*a^(7) + (14200286867819344618)/(860153495355557217)*a^(6) - (9921604344069339371)/(860153495355557217)*a^(5) + (5569701139270341200)/(860153495355557217)*a^(4) - (1589193662164382324)/(286717831785185739)*a^(3) + (854385017701047395)/(860153495355557217)*a^(2) - (98684320147521574)/(286717831785185739)*a - (124556349181027235)/(95572610595061913) , (19701609822796877)/(860153495355557217)*a^(20) - (107998118203975147)/(860153495355557217)*a^(19) + (300051434433042532)/(860153495355557217)*a^(18) - (560832282074766889)/(860153495355557217)*a^(17) + (867843616529820692)/(860153495355557217)*a^(16) - (1630890578784252268)/(860153495355557217)*a^(15) + (332421877687490790)/(95572610595061913)*a^(14) - (1503409591557234361)/(286717831785185739)*a^(13) + (1962496421551435937)/(286717831785185739)*a^(12) - (7143275653135303736)/(860153495355557217)*a^(11) + (9714360154057820437)/(860153495355557217)*a^(10) - (10124827463421886243)/(860153495355557217)*a^(9) + (8887341889296885952)/(860153495355557217)*a^(8) - (1076477507201195582)/(95572610595061913)*a^(7) + (6660255061488160648)/(860153495355557217)*a^(6) - (4251724401945897359)/(860153495355557217)*a^(5) + (3119440064221503773)/(860153495355557217)*a^(4) - (767196950256316685)/(286717831785185739)*a^(3) + (66770548490888246)/(860153495355557217)*a^(2) - (185694638138172874)/(286717831785185739)*a - (57628410162619845)/(95572610595061913) , (16557302920613303)/(860153495355557217)*a^(20) - (36514930510804807)/(860153495355557217)*a^(19) - (3254501596480952)/(860153495355557217)*a^(18) + (47315635961599256)/(860153495355557217)*a^(17) - (101909692778863498)/(860153495355557217)*a^(16) + (97363749724216820)/(860153495355557217)*a^(15) - (121784256554375626)/(286717831785185739)*a^(14) + (409813322939165027)/(286717831785185739)*a^(13) - (488265987010682503)/(286717831785185739)*a^(12) + (2432909385507194401)/(860153495355557217)*a^(11) - (3713457948841093631)/(860153495355557217)*a^(10) + (4339923586667920883)/(860153495355557217)*a^(9) - (5952982445803746896)/(860153495355557217)*a^(8) + (1813006518754084243)/(286717831785185739)*a^(7) - (5584007833124833235)/(860153495355557217)*a^(6) + (4464876024092590093)/(860153495355557217)*a^(5) - (2636250474357359653)/(860153495355557217)*a^(4) + (232803841487582619)/(95572610595061913)*a^(3) - (1038708491113532650)/(860153495355557217)*a^(2) + (115902073998117787)/(286717831785185739)*a + (10761177944975513)/(95572610595061913) , (25845828473688656)/(860153495355557217)*a^(20) - (135795778664914870)/(860153495355557217)*a^(19) + (310238777975139136)/(860153495355557217)*a^(18) - (509898057248439667)/(860153495355557217)*a^(17) + (824780717043657782)/(860153495355557217)*a^(16) - (1527524074844204830)/(860153495355557217)*a^(15) + (913839580433252546)/(286717831785185739)*a^(14) - (1225889218056756745)/(286717831785185739)*a^(13) + (1503620912322767078)/(286717831785185739)*a^(12) - (5739448756370086961)/(860153495355557217)*a^(11) + (6145281117558885601)/(860153495355557217)*a^(10) - (5928497574208551076)/(860153495355557217)*a^(9) + (5044646640891973501)/(860153495355557217)*a^(8) - (1085522198994377678)/(286717831785185739)*a^(7) + (664263996887316712)/(860153495355557217)*a^(6) + (474484177102782247)/(860153495355557217)*a^(5) - (770048560942613965)/(860153495355557217)*a^(4) + (102306498468141164)/(95572610595061913)*a^(3) - (541374283918087201)/(860153495355557217)*a^(2) + (215114883102191815)/(286717831785185739)*a + (6921339672919243)/(95572610595061913) , (77472507485468111)/(860153495355557217)*a^(20) - (291982134509027938)/(860153495355557217)*a^(19) + (482484498750734182)/(860153495355557217)*a^(18) - (780315899191958527)/(860153495355557217)*a^(17) + (1399392603543589508)/(860153495355557217)*a^(16) - (2861896787470650520)/(860153495355557217)*a^(15) + (1544560736736513763)/(286717831785185739)*a^(14) - (1703507230387829269)/(286717831785185739)*a^(13) + (2516525346758816675)/(286717831785185739)*a^(12) - (9786638606586568613)/(860153495355557217)*a^(11) + (9701166138997724041)/(860153495355557217)*a^(10) - (10571763473532357139)/(860153495355557217)*a^(9) + (8965432056545070739)/(860153495355557217)*a^(8) - (2315960861831564482)/(286717831785185739)*a^(7) + (4154232443425074706)/(860153495355557217)*a^(6) - (3369008898116597303)/(860153495355557217)*a^(5) + (1024524555981993614)/(860153495355557217)*a^(4) - (156980224928060887)/(286717831785185739)*a^(3) - (1168831091241146638)/(860153495355557217)*a^(2) + (16564681118874586)/(95572610595061913)*a + (25052605719297508)/(95572610595061913) ], 6158.71427835, [[x^7 - x^6 + 2*x^4 - 2*x^3 + 2*x - 1, 1]]]