/* 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^22 - 74*x^20 + 2449*x^18 - 47772*x^16 + 608919*x^14 - 5307720*x^12 + 32127975*x^10 - 134044248*x^8 + 373194336*x^6 - 645946216*x^4 + 597000440*x^2 - 195030400, 22, 52, [14, 4], 12690240639024486099207064421849753745845788293805139479005039009036081561600, [2, 3, 5, 7, 23, 59, 137, 1033], [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, 1/2*a^15 - 1/2*a^11 - 1/2*a^7 - 1/2*a^3, 1/2*a^16 - 1/2*a^12 - 1/2*a^8 - 1/2*a^4, 1/2*a^17 - 1/2*a^13 - 1/2*a^9 - 1/2*a^5, 1/12*a^18 - 1/4*a^14 - 1/2*a^12 + 1/4*a^10 - 1/2*a^8 + 1/4*a^6 - 1/2*a^4 - 1/3, 1/12*a^19 - 1/4*a^15 - 1/2*a^13 + 1/4*a^11 - 1/2*a^9 + 1/4*a^7 - 1/2*a^5 - 1/3*a, 1/27000*a^20 - 527/13500*a^18 - 153/1000*a^16 + 64/375*a^14 - 1807/9000*a^12 + 9/50*a^10 + 1/40*a^8 - 229/2250*a^6 + 191/750*a^4 + 1663/3375*a^2 + 163/675, 1/216000*a^21 - 1/54000*a^20 + 1723/108000*a^19 + 527/27000*a^18 + 1347/8000*a^17 - 347/2000*a^16 - 247/6000*a^15 - 32/375*a^14 - 6307/72000*a^13 + 6307/18000*a^12 - 83/200*a^11 - 9/100*a^10 - 19/320*a^9 + 19/80*a^8 - 677/9000*a^7 - 2021/4500*a^6 - 23/750*a^5 + 46/375*a^4 + 1663/27000*a^3 - 1663/6750*a^2 - 1637/5400*a - 163/1350], 0, 1, [], 1, [ (6142481)/(13500)*a^(20) - (422396099)/(13500)*a^(18) + (474050157)/(500)*a^(16) - (24945165353)/(1500)*a^(14) + (838506985333)/(4500)*a^(12) - (138635189309)/(100)*a^(10) + (137622958781)/(20)*a^(8) - (99923960602721)/(4500)*a^(6) + (16323256999621)/(375)*a^(4) - (149976185670194)/(3375)*a^(2) + (10349732685031)/(675) , (508699009)/(2250)*a^(20) - (66275860097)/(4500)*a^(18) + (52904187247)/(125)*a^(16) - (3525828786909)/(500)*a^(14) + (56402287777487)/(750)*a^(12) - (53380877991231)/(100)*a^(10) + (25346934348587)/(10)*a^(8) - (11774704601800613)/(1500)*a^(6) + (1853361528331063)/(125)*a^(4) - (16505589105130382)/(1125)*a^(2) + (1119680220546193)/(225) , (363317363)/(3375)*a^(20) - (96088199783)/(13500)*a^(18) + (51883665797)/(250)*a^(16) - (5260255561451)/(1500)*a^(14) + (42646050392434)/(1125)*a^(12) - (27255834226903)/(100)*a^(10) + (6549844725868)/(5)*a^(8) - (18462732268420907)/(4500)*a^(6) + (2935818903146707)/(375)*a^(4) - (26370981008185898)/(3375)*a^(2) + (1797443422102027)/(675) , (15007510961)/(13500)*a^(20) - (1022971860269)/(13500)*a^(18) + (1140104496467)/(500)*a^(16) - (59695764310343)/(1500)*a^(14) + (2000734625637223)/(4500)*a^(12) - (330497039308279)/(100)*a^(10) + (328430659986771)/(20)*a^(8) - (239135536313419151)/(4500)*a^(6) + (78457383860157227)/(750)*a^(4) - (362160739864743089)/(3375)*a^(2) + (25064461945389661)/(675) , (100471139344)/(3375)*a^(20) - (18356284339429)/(13500)*a^(18) + (5353524740111)/(250)*a^(16) - (73181602490113)/(1500)*a^(14) - (3234293915494858)/(1125)*a^(12) + (4499303956899911)/(100)*a^(10) - (1654772374344366)/(5)*a^(8) + (6222511871572895459)/(4500)*a^(6) - (1220888792109629059)/(375)*a^(4) + (12764049251195809451)/(3375)*a^(2) - (938430927112524049)/(675) , (7774529)/(2700)*a^(20) - (543876341)/(2700)*a^(18) + (624001063)/(100)*a^(16) - (33751889327)/(300)*a^(14) + (1173249062047)/(900)*a^(12) - (201941023071)/(20)*a^(10) + (210236893739)/(4)*a^(8) - (161388879023339)/(900)*a^(6) + (56233010651753)/(150)*a^(4) - (277715094947246)/(675)*a^(2) + (20562043247299)/(135) , (2591315701857035141)/(13500)*a^(20) - (175441523065280759489)/(13500)*a^(18) + (194129272642841945927)/(500)*a^(16) - (10087784353285577990183)/(1500)*a^(14) + (335418362533912348549963)/(4500)*a^(12) - (54949931493328669995199)/(100)*a^(10) + (54142018229804838434751)/(20)*a^(8) - (39081769357931982836446031)/(4500)*a^(6) + (12713692991188936508888237)/(750)*a^(4) - (58238086925940518787764159)/(3375)*a^(2) + (4013317892418621445192591)/(675) , (70116952741238841154861)/(36000)*a^(21) - (131955921217164018500921)/(27000)*a^(20) - (2373586647119346980469497)/(18000)*a^(19) + (4466948400007056363261367)/(13500)*a^(18) + (15758503417287377448941301)/(4000)*a^(17) - (9885520881358883605683587)/(1000)*a^(16) - (68239915283100116405006167)/(1000)*a^(15) + (64211722884648410011851181)/(375)*a^(14) + (9075895951985379794321407673)/(12000)*a^(13) - (17080294135780793482207950253)/(9000)*a^(12) - (557572173098891276178444839)/(100)*a^(11) + (699545016111629311594803461)/(50)*a^(10) + (4394994728544017175875114523)/(160)*a^(9) - (2757039171586042580034358741)/(40)*a^(8) - (132186434684378467354691642147)/(1500)*a^(7) + (497533944131226590400050039909)/(2250)*a^(6) + (21500788745147388381621959947)/(125)*a^(5) - (161852798527923510944834880893)/(375)*a^(4) - (787915703815829090553487306157)/(4500)*a^(3) + (1482810268444060168393497318127)/(3375)*a^(2) + (54297047635533461777194897543)/(900)*a - (102183798691099105067708635898)/(675) , (70116952741238841154861)/(36000)*a^(21) + (131955921217164018500921)/(27000)*a^(20) - (2373586647119346980469497)/(18000)*a^(19) - (4466948400007056363261367)/(13500)*a^(18) + (15758503417287377448941301)/(4000)*a^(17) + (9885520881358883605683587)/(1000)*a^(16) - (68239915283100116405006167)/(1000)*a^(15) - (64211722884648410011851181)/(375)*a^(14) + (9075895951985379794321407673)/(12000)*a^(13) + (17080294135780793482207950253)/(9000)*a^(12) - (557572173098891276178444839)/(100)*a^(11) - (699545016111629311594803461)/(50)*a^(10) + (4394994728544017175875114523)/(160)*a^(9) + (2757039171586042580034358741)/(40)*a^(8) - (132186434684378467354691642147)/(1500)*a^(7) - (497533944131226590400050039909)/(2250)*a^(6) + (21500788745147388381621959947)/(125)*a^(5) + (161852798527923510944834880893)/(375)*a^(4) - (787915703815829090553487306157)/(4500)*a^(3) - (1482810268444060168393497318127)/(3375)*a^(2) + (54297047635533461777194897543)/(900)*a + (102183798691099105067708635898)/(675) , (1180240054193339291)/(43200)*a^(21) - (3567966200221104601)/(54000)*a^(20) - (40222205741284176007)/(21600)*a^(19) + (121592824846818389477)/(27000)*a^(18) + (89650351009108096977)/(1600)*a^(17) - (271010242377529364547)/(2000)*a^(16) - (1173464095375628025077)/(1200)*a^(15) + (3547277793738279212947)/(1500)*a^(14) + (157310557464450413318863)/(14400)*a^(13) - (475526864914628961508493)/(18000)*a^(12) - (3248109999642427612733)/(40)*a^(11) + (9818381230550395555183)/(50)*a^(10) + (25821643052604480787775)/(64)*a^(9) - (78052223248560377828381)/(80)*a^(8) - (2350083815729263062546907)/(1800)*a^(7) + (7103581769264781258244877)/(2250)*a^(6) + (385508493051335859654557)/(150)*a^(5) - (4661022380306073425714083)/(750)*a^(4) - (14235880124074238964863167)/(5400)*a^(3) + (43029453584162173013275037)/(6750)*a^(2) + (985229413244689025953433)/(1080)*a - (2977940528340893320262713)/(1350) , (901161991783735970699)/(36000)*a^(21) - (70179228208321730081)/(1000)*a^(20) - (29801478119427456173623)/(18000)*a^(19) + (1160415607080791527781)/(250)*a^(18) + (193163686536176844478659)/(4000)*a^(17) - (135386007058900785721389)/(1000)*a^(16) - (816280696067450673735153)/(1000)*a^(15) + (1144241916999418922356251)/(500)*a^(14) + (105921037590439011723377407)/(12000)*a^(13) - (24746247100808289055631399)/(1000)*a^(12) - (6348700291401948705359001)/(100)*a^(11) + (17798903150897929730498959)/(100)*a^(10) + (48837660454955940962671437)/(160)*a^(9) - (34229719164967490912883207)/(40)*a^(8) - (1434472644522454015227591973)/(1500)*a^(7) + (1340539376195297276946704919)/(500)*a^(6) + (228170853846264995018151048)/(125)*a^(5) - (639688955708549676610862932)/(125)*a^(4) - (8200374708925201770933423313)/(4500)*a^(3) + (638616467649238235732147547)/(125)*a^(2) + (559019659871923966879440437)/(900)*a - (43534556983508126311369228)/(25) , (556485658551172613)/(216000)*a^(21) + (264279303607720609)/(54000)*a^(20) - (19585999692487297801)/(108000)*a^(19) - (9301647345524317193)/(27000)*a^(18) + (45240268741437193711)/(8000)*a^(17) + (21485453107384067323)/(2000)*a^(16) - (616021139978136143411)/(6000)*a^(15) - (292563689811776129173)/(1500)*a^(14) + (86276226568663775093809)/(72000)*a^(13) + (40975254562333109122037)/(18000)*a^(12) - (1870041230622816953279)/(200)*a^(11) - (444076344656031650061)/(25)*a^(10) + (15689345993645493173953)/(320)*a^(9) + (7451563845842565104549)/(80)*a^(8) - (1515598863799383845760001)/(9000)*a^(7) - (359917643094587656085584)/(1125)*a^(6) + (132641547558202995156388)/(375)*a^(5) + (503993233823583572924347)/(750)*a^(4) - (10464504257131729296889081)/(27000)*a^(3) - (4970266181178243979818233)/(6750)*a^(2) + (751747159328897218528919)/(5400)*a + (357055642694743780487617)/(1350) , (3681309534250723)/(8640)*a^(21) + (78327529407885179)/(54000)*a^(20) - (114800428462758911)/(4320)*a^(19) - (2439169829972981083)/(27000)*a^(18) + (235256272530144841)/(320)*a^(17) + (4991349998347843113)/(2000)*a^(16) - (2843483691850846501)/(240)*a^(15) - (60242270430265832963)/(1500)*a^(14) + (353415323172656195159)/(2880)*a^(13) + (7476693719921084351047)/(18000)*a^(12) - (6792072698316872865)/(8)*a^(11) - (71742310080470716391)/(25)*a^(10) + (252290227463662445091)/(64)*a^(9) + (1064447720114836072439)/(80)*a^(8) - (4310393346910169519351)/(360)*a^(7) - (45403934890088229005279)/(1125)*a^(6) + (333674937985254648863)/(15)*a^(5) + (56165632492332866350907)/(750)*a^(4) - (23461266789927145537511)/(1080)*a^(3) - (493096565097611406691573)/(6750)*a^(2) + (1580095938749668798849)/(216)*a + (33188951250286313438927)/(1350) , (3459099184459226088707)/(216000)*a^(21) + (864372353568908326421)/(18000)*a^(20) - (112577562736850784338839)/(108000)*a^(19) - (28197829044806449216117)/(9000)*a^(18) + (239132687566142007288329)/(8000)*a^(17) + (180139453722748970565261)/(2000)*a^(16) - (2977944513326225751527129)/(6000)*a^(15) - (749724575310779783755237)/(500)*a^(14) + (379305728774226348368344951)/(72000)*a^(13) + (95753464995893417433394753)/(6000)*a^(12) - (7434839315890532172839531)/(200)*a^(11) - (2823195150146342704922427)/(25)*a^(10) + (56094957893403904214730407)/(320)*a^(9) + (42722300021946448620454563)/(80)*a^(8) - (4848497882831093957929068889)/(9000)*a^(7) - (617183954393849728330950446)/(375)*a^(6) + (378515156071695316640434807)/(375)*a^(5) + (386514668881039908926808634)/(125)*a^(4) - (26762613635848014877152147259)/(27000)*a^(3) - (6848682035494344891111159877)/(2250)*a^(2) + (1807417289289376427152036241)/(5400)*a + (463169691673757840030208173)/(450) , (2037466640887614277)/(13500)*a^(21) + (199510686865865899)/(500)*a^(20) - (136660651049864624083)/(13500)*a^(19) - (13389860174539687921)/(500)*a^(18) + (149700792656057306869)/(500)*a^(17) + (396266003015612109231)/(500)*a^(16) - (7695664319378008670551)/(1500)*a^(15) - (6794555864959895566783)/(500)*a^(14) + (252972531499863430560461)/(4500)*a^(13) + (74498080341512621715271)/(500)*a^(12) - (40949384400561660643903)/(100)*a^(11) - (108602833423834146513497)/(100)*a^(10) + (39850003614412840151917)/(20)*a^(9) + (105754673410418719302763)/(20)*a^(8) - (28405758153969889588850107)/(4500)*a^(7) - (8381183240168681842729577)/(500)*a^(6) + (4563805090887205712207282)/(375)*a^(5) + (8084110398589091309761137)/(250)*a^(4) - (82701956164803490313200271)/(6750)*a^(3) - (4071370238364915112224301)/(125)*a^(2) + (2831938366764519540794327)/(675)*a + (278908878196165054125549)/(25) , (20561406024556397)/(9000)*a^(21) + (17867345222249416)/(3375)*a^(20) - (700714186455704719)/(4500)*a^(19) - (4853359252507711981)/(13500)*a^(18) + (4684350772408027777)/(1000)*a^(17) + (2689555528652157329)/(250)*a^(16) - (10218464544679764592)/(125)*a^(15) - (279525673061697846157)/(1500)*a^(14) + (2741717780433719857621)/(3000)*a^(13) + (2319189745986659414288)/(1125)*a^(12) - (340564610856313466931)/(50)*a^(11) - (1513444243721734285821)/(100)*a^(10) + (1362613413692637488911)/(40)*a^(9) + (370150244400999139646)/(5)*a^(8) - (83866622841252906951413)/(750)*a^(7) - (1056596434173679855035349)/(4500)*a^(6) + (56726267501798214813827)/(250)*a^(5) + (168625055104199873005574)/(375)*a^(4) - (280472796966164686269664)/(1125)*a^(3) - (1489184811135314200917286)/(3375)*a^(2) + (23606214392821781523536)/(225)*a + (92156035429835981399789)/(675) , (1892303888724516437)/(216000)*a^(21) - (1211190118144455973)/(54000)*a^(20) - (67029292771672077049)/(108000)*a^(19) + (43214193530681921021)/(27000)*a^(18) + (154846462585183340639)/(8000)*a^(17) - (100518234422046491631)/(2000)*a^(16) - (2094125483838409004939)/(6000)*a^(15) + (1368282617740493479081)/(1500)*a^(14) + (289075720013442734403841)/(72000)*a^(13) - (190050948715722275878289)/(18000)*a^(12) - (6124627990187927609571)/(200)*a^(11) + (2025141650649644166467)/(25)*a^(10) + (49781217230623922731217)/(320)*a^(9) - (33104021120272661755073)/(80)*a^(8) - (4615487138928839513688349)/(9000)*a^(7) + (1542633288676452024576673)/(1125)*a^(6) + (384235918760062990151287)/(375)*a^(5) - (1032295898166407791158617)/(375)*a^(4) - (28692547940270367320381269)/(27000)*a^(3) + (19349993591514458465416901)/(6750)*a^(2) + (1996971842049792014569031)/(5400)*a - (1349702625890210758137049)/(1350) ], 171825983862000000000000000000000, [[x^11 - 3*x^10 - 36*x^9 + 60*x^8 + 213*x^7 - 9*x^6 - 114*x^5 - 180*x^4 - 108*x^3 + 6*x^2 + 36*x + 54, 1]]]