/* 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^28 - 29*x^26 + 551*x^24 - 5916*x^22 + 45675*x^20 - 232000*x^18 + 854369*x^16 - 1923396*x^14 + 3056194*x^12 - 2610464*x^10 + 1563419*x^8 - 459186*x^6 + 96715*x^4 - 10933*x^2 + 841, 28, 2, [0, 14], 135171579942192030712001098144632895138136441638354944, [2, 3, 29], [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, 1/29*a^14, 1/29*a^15, 1/29*a^16, 1/29*a^17, 1/29*a^18, 1/29*a^19, 1/493*a^20 + 5/493*a^18 + 5/493*a^16 + 7/493*a^14 + 7/17*a^12 + 7/17*a^10 + 7/17*a^8 + 5/17*a^6 - 5/17*a^4 - 5/17*a^2 + 3/17, 1/493*a^21 + 5/493*a^19 + 5/493*a^17 + 7/493*a^15 + 7/17*a^13 + 7/17*a^11 + 7/17*a^9 + 5/17*a^7 - 5/17*a^5 - 5/17*a^3 + 3/17*a, 1/493*a^22 - 3/493*a^18 - 1/493*a^16 - 2/493*a^14 + 6/17*a^12 + 6/17*a^10 + 4/17*a^8 + 4/17*a^6 + 3/17*a^4 - 6/17*a^2 + 2/17, 1/493*a^23 - 3/493*a^19 - 1/493*a^17 - 2/493*a^15 + 6/17*a^13 + 6/17*a^11 + 4/17*a^9 + 4/17*a^7 + 3/17*a^5 - 6/17*a^3 + 2/17*a, 1/1192567*a^24 + 75/1192567*a^22 - 46/1192567*a^20 - 6697/1192567*a^18 + 3958/1192567*a^16 + 10518/1192567*a^14 + 4847/41123*a^12 + 1076/2419*a^10 + 11495/41123*a^8 - 1119/41123*a^6 - 14662/41123*a^4 + 13163/41123*a^2 - 7153/41123, 1/1192567*a^25 + 75/1192567*a^23 - 46/1192567*a^21 - 6697/1192567*a^19 + 3958/1192567*a^17 + 10518/1192567*a^15 + 4847/41123*a^13 + 1076/2419*a^11 + 11495/41123*a^9 - 1119/41123*a^7 - 14662/41123*a^5 + 13163/41123*a^3 - 7153/41123*a, 1/4148797675963432116791257813*a^26 + 730783171372417513830/4148797675963432116791257813*a^24 + 148172050719390875156370/4148797675963432116791257813*a^22 + 418083742714354067818507/4148797675963432116791257813*a^20 + 14601585867910114087102059/4148797675963432116791257813*a^18 - 15061120271947858903718923/4148797675963432116791257813*a^16 + 21320472958448858331990261/4148797675963432116791257813*a^14 - 66993927239283321874225162/143061988826325245406595097*a^12 + 1122902977505565796330547/8415411107430896788623241*a^10 + 32905080252152390412532207/143061988826325245406595097*a^8 + 8663447507497570322530813/143061988826325245406595097*a^6 + 41591129011249661476173452/143061988826325245406595097*a^4 + 70166325602009033148484648/143061988826325245406595097*a^2 + 1361671935242583618846075/8415411107430896788623241, 1/4148797675963432116791257813*a^27 + 730783171372417513830/4148797675963432116791257813*a^25 + 148172050719390875156370/4148797675963432116791257813*a^23 + 418083742714354067818507/4148797675963432116791257813*a^21 + 14601585867910114087102059/4148797675963432116791257813*a^19 - 15061120271947858903718923/4148797675963432116791257813*a^17 + 21320472958448858331990261/4148797675963432116791257813*a^15 - 66993927239283321874225162/143061988826325245406595097*a^13 + 1122902977505565796330547/8415411107430896788623241*a^11 + 32905080252152390412532207/143061988826325245406595097*a^9 + 8663447507497570322530813/143061988826325245406595097*a^7 + 41591129011249661476173452/143061988826325245406595097*a^5 + 70166325602009033148484648/143061988826325245406595097*a^3 + 1361671935242583618846075/8415411107430896788623241*a], 1, 384, [2, 4, 4, 12], 1, [ (1230565566939314651337315)/(4148797675963432116791257813)*a^(26) - (36781813239003702449743577)/(4148797675963432116791257813)*a^(24) + (709555383989514868120334955)/(4148797675963432116791257813)*a^(22) - (7876256477097434388574355125)/(4148797675963432116791257813)*a^(20) + (62547067904786369316635073440)/(4148797675963432116791257813)*a^(18) - (334027035826056886680777242955)/(4148797675963432116791257813)*a^(16) + (1293937861329342440079503736508)/(4148797675963432116791257813)*a^(14) - (111865623396143939026686642102)/(143061988826325245406595097)*a^(12) + (194898890508093241202357637882)/(143061988826325245406595097)*a^(10) - (209530071593347736755294978281)/(143061988826325245406595097)*a^(8) + (138657132874359311200566817990)/(143061988826325245406595097)*a^(6) - (56710801951930648397563344005)/(143061988826325245406595097)*a^(4) + (9068714821801961023764432359)/(143061988826325245406595097)*a^(2) - (1036398639556153385576691523)/(143061988826325245406595097) , (16127625200103338857822077)/(4148797675963432116791257813)*a^(26) - (466911489077009595013739187)/(4148797675963432116791257813)*a^(24) + (8863095007929957985146028295)/(4148797675963432116791257813)*a^(22) - (94966541440210780934567743053)/(4148797675963432116791257813)*a^(20) + (731780033308285715136238341305)/(4148797675963432116791257813)*a^(18) - (127712187675997447386203725360)/(143061988826325245406595097)*a^(16) + (13581296623328485891857916534318)/(4148797675963432116791257813)*a^(14) - (1043897235595138103410658869109)/(143061988826325245406595097)*a^(12) + (1638263359092881334798163966625)/(143061988826325245406595097)*a^(10) - (1349179899616406258308087836229)/(143061988826325245406595097)*a^(8) + (769043793142900099863555514814)/(143061988826325245406595097)*a^(6) - (191317966611134572628327441802)/(143061988826325245406595097)*a^(4) + (29902208299263380162575717977)/(143061988826325245406595097)*a^(2) - (33428385404471498550689170)/(2424779471632631278077883) , (13561306886642673503669550)/(4148797675963432116791257813)*a^(26) - (392827414119983603465587995)/(4148797675963432116791257813)*a^(24) + (7458786242968681289302721475)/(4148797675963432116791257813)*a^(22) - (4704007042387087848432505535)/(244046922115496006870073989)*a^(20) + (616513959680823106428671706075)/(4148797675963432116791257813)*a^(18) - (107695320582653065387044604350)/(143061988826325245406595097)*a^(16) + (11462852761027515263935078437170)/(4148797675963432116791257813)*a^(14) - (882898271450105947733612727615)/(143061988826325245406595097)*a^(12) + (1387476836919050902338575880525)/(143061988826325245406595097)*a^(10) - (1147830687942117733454664992597)/(143061988826325245406595097)*a^(8) + (651999994511461920030064199640)/(143061988826325245406595097)*a^(6) - (162216255423044041250597482020)/(143061988826325245406595097)*a^(4) + (1365431984400479827397251284)/(8415411107430896788623241)*a^(2) - (28345914920587896400162350)/(2424779471632631278077883) , (1163770800436467008006480)/(4148797675963432116791257813)*a^(26) - (35964124102087107820212520)/(4148797675963432116791257813)*a^(24) + (704963531147061165385930005)/(4148797675963432116791257813)*a^(22) - (8090615521377531538396098640)/(4148797675963432116791257813)*a^(20) + (65980444682928056557515102000)/(4148797675963432116791257813)*a^(18) - (368172875877437017912003782410)/(4148797675963432116791257813)*a^(16) + (1485080428239871726024000524820)/(4148797675963432116791257813)*a^(14) - (138395201102203143441266927420)/(143061988826325245406595097)*a^(12) + (254652844523125619639680348520)/(143061988826325245406595097)*a^(10) - (304621869177851858692832460100)/(143061988826325245406595097)*a^(8) + (209091880273711334381939207680)/(143061988826325245406595097)*a^(6) - (93119857986429010814527942537)/(143061988826325245406595097)*a^(4) + (13928868673616737018465610620)/(143061988826325245406595097)*a^(2) - (1597315962927656545365844020)/(143061988826325245406595097) , (162112066846157833047964)/(70318604677346307064258607)*a^(26) - (275076039815022998504418680)/(4148797675963432116791257813)*a^(24) + (5203635329868164765207101674)/(4148797675963432116791257813)*a^(22) - (55323077240204096653510392470)/(4148797675963432116791257813)*a^(20) + (423363004689633461254114690398)/(4148797675963432116791257813)*a^(18) - (124414003535125462934183060042)/(244046922115496006870073989)*a^(16) + (263666871455356900535758767796)/(143061988826325245406595097)*a^(14) - (568022776240270385145752105663)/(143061988826325245406595097)*a^(12) + (860574875398174604900362189066)/(143061988826325245406595097)*a^(10) - (630127431277572624698128357610)/(143061988826325245406595097)*a^(8) + (326828304102173058404406905440)/(143061988826325245406595097)*a^(6) - (43259933034122503123912976420)/(143061988826325245406595097)*a^(4) + (4988172677147280889004035328)/(143061988826325245406595097)*a^(2) + (640048321016722059594852458)/(143061988826325245406595097) , (4867239092733121353763907)/(4148797675963432116791257813)*a^(26) - (145447994674435399102518553)/(4148797675963432116791257813)*a^(24) + (165028453063718652347236720)/(244046922115496006870073989)*a^(22) - (31133593140784528786616924476)/(4148797675963432116791257813)*a^(20) + (247183533924011601870657145125)/(4148797675963432116791257813)*a^(18) - (1319562933015489430612607609085)/(4148797675963432116791257813)*a^(16) + (5109687565456307159153385861478)/(4148797675963432116791257813)*a^(14) - (441423592528764721761965651213)/(143061988826325245406595097)*a^(12) + (768574884451275608287145900545)/(143061988826325245406595097)*a^(10) - (825321497259383072352173118595)/(143061988826325245406595097)*a^(8) + (545912851972938028398564598237)/(143061988826325245406595097)*a^(6) - (223191050786960279543669381064)/(143061988826325245406595097)*a^(4) + (35696513573242160791023132178)/(143061988826325245406595097)*a^(2) - (4079319789743531899316885658)/(143061988826325245406595097) , (95399608770699847600148286)/(4148797675963432116791257813)*a^(27) - (4686038652956366541351435)/(4148797675963432116791257813)*a^(26) - (2754630014360100743204921020)/(4148797675963432116791257813)*a^(25) + (135936937982254657415684371)/(4148797675963432116791257813)*a^(24) + (52217250289961316400716054385)/(4148797675963432116791257813)*a^(23) - (2582929324773101212035484853)/(4148797675963432116791257813)*a^(22) - (557762632873980315646822630956)/(4148797675963432116791257813)*a^(21) + (956458133557930988358172256)/(143061988826325245406595097)*a^(20) + (4286023482336420370603372754970)/(4148797675963432116791257813)*a^(19) - (214124051345836749386571452648)/(4148797675963432116791257813)*a^(18) - (21580138626989536912006974928925)/(4148797675963432116791257813)*a^(17) + (37496186453469696791334402645)/(143061988826325245406595097)*a^(16) + (78683994452906783601948755985002)/(4148797675963432116791257813)*a^(15) - (4000438523436511183112616639693)/(4148797675963432116791257813)*a^(14) - (350993228509032886457868149068)/(8415411107430896788623241)*a^(13) + (309811682751247267237958684080)/(143061988826325245406595097)*a^(12) + (9232203432611027405981397547605)/(143061988826325245406595097)*a^(11) - (488600450327004145282228036783)/(143061988826325245406595097)*a^(10) - (7270157463942328103083707088492)/(143061988826325245406595097)*a^(9) + (408958273875072722035121249749)/(143061988826325245406595097)*a^(8) + (3987168332058935563511866270656)/(143061988826325245406595097)*a^(7) - (230228696354637664505989083197)/(143061988826325245406595097)*a^(6) - (825775131697479312668193488323)/(143061988826325245406595097)*a^(5) + (57294857685916833723222579161)/(143061988826325245406595097)*a^(4) + (116584415034682534197467603854)/(143061988826325245406595097)*a^(3) - (5918933186140636269186165345)/(143061988826325245406595097)*a^(2) - (4808003625942486570376899810)/(143061988826325245406595097)*a + (10013974803021634840313908)/(2424779471632631278077883) , (83035639656323251921375748)/(4148797675963432116791257813)*a^(27) + (1312719995359687268456412)/(70318604677346307064258607)*a^(26) - (2365472434090806217158064888)/(4148797675963432116791257813)*a^(25) - (2227900767728513964352152298)/(4148797675963432116791257813)*a^(24) + (44523664966278342937644801156)/(4148797675963432116791257813)*a^(23) + (2479352518347580967566309316)/(244046922115496006870073989)*a^(22) - (467942010061069421837733531512)/(4148797675963432116791257813)*a^(21) - (448204567200042258592719256260)/(4148797675963432116791257813)*a^(20) + (3543799857633196691194008084730)/(4148797675963432116791257813)*a^(19) + (3430396770408844490438837190385)/(4148797675963432116791257813)*a^(18) - (1020705219146453811571243196620)/(244046922115496006870073989)*a^(17) - (17142273800263982397192967453062)/(4148797675963432116791257813)*a^(16) + (1495477942709306112725884999274)/(101190187218620295531494093)*a^(15) + (2137394082639413832378546398318)/(143061988826325245406595097)*a^(14) - (4296708223396907515958411394616)/(143061988826325245406595097)*a^(13) - (270986920885518475875790246542)/(8415411107430896788623241)*a^(12) + (6088740081844815340624612527522)/(143061988826325245406595097)*a^(11) + (6977450580846413840139641551238)/(143061988826325245406595097)*a^(10) - (3357040989136682931219244099655)/(143061988826325245406595097)*a^(9) - (5109128941635158737199306620580)/(143061988826325245406595097)*a^(8) + (1236997353812913135349431901282)/(143061988826325245406595097)*a^(7) + (2632261210341587837149868422655)/(143061988826325245406595097)*a^(6) + (455911214237759188676353825916)/(143061988826325245406595097)*a^(5) - (350759089524862100086691517270)/(143061988826325245406595097)*a^(4) - (85958441573939310147286752058)/(143061988826325245406595097)*a^(3) + (40445051816540463347656252154)/(143061988826325245406595097)*a^(2) + (17537527333400414197158913746)/(143061988826325245406595097)*a + (1611951947703462686785893262)/(143061988826325245406595097) , (25750276153139718147455935)/(4148797675963432116791257813)*a^(27) - (54952324947748155487182)/(143061988826325245406595097)*a^(26) - (743580126421726552811679507)/(4148797675963432116791257813)*a^(25) + (45972123328891028405188734)/(4148797675963432116791257813)*a^(24) + (486067344286377242597893006)/(143061988826325245406595097)*a^(23) - (871124212869856563407813218)/(4148797675963432116791257813)*a^(22) - (150579352040859004509296134550)/(4148797675963432116791257813)*a^(21) + (9296440447402133031664141490)/(4148797675963432116791257813)*a^(20) + (1157188009642137536809357608675)/(4148797675963432116791257813)*a^(19) - (71397236808310007598001155928)/(4148797675963432116791257813)*a^(18) - (5827282972816187246306008133592)/(4148797675963432116791257813)*a^(17) + (12383240549588606214887831210)/(143061988826325245406595097)*a^(16) + (21250642447700169353496930855120)/(4148797675963432116791257813)*a^(15) - (1308937764139799902065651449089)/(4148797675963432116791257813)*a^(14) - (1612165560508258821190245313615)/(143061988826325245406595097)*a^(13) + (99192876112336775441429363656)/(143061988826325245406595097)*a^(12) + (2495675426777562612652880164667)/(143061988826325245406595097)*a^(11) - (154213929619223757188276766118)/(143061988826325245406595097)*a^(10) - (1968508436672466817218409611051)/(143061988826325245406595097)*a^(9) + (123094756201259349447786639526)/(143061988826325245406595097)*a^(8) + (1082249460338220749047812964627)/(143061988826325245406595097)*a^(7) - (71863893661074759495380958058)/(143061988826325245406595097)*a^(6) - (226999106673165263510706610078)/(143061988826325245406595097)*a^(5) + (17865679196344296434832274434)/(143061988826325245406595097)*a^(4) + (33772719637811188873508013954)/(143061988826325245406595097)*a^(3) - 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