/* 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^23 - 3*x^22 + 7*x^21 - 8*x^20 - 11*x^19 + 19*x^18 + 160*x^17 + 291*x^16 + 464*x^15 - 35*x^14 - 648*x^13 - 1313*x^12 - 1101*x^11 - 240*x^10 + 1477*x^9 + 1043*x^8 + 863*x^7 - 10*x^6 - 264*x^5 - 712*x^4 - 80*x^3 - 2304*x^2 - 2048*x - 1024, 23, 2, [1, 11], -687231335140465279781021461534970411, [1811], [1, a, a^2, a^3, 1/2*a^4 - 1/2*a, 1/2*a^5 - 1/2*a^2, 1/2*a^6 - 1/2*a^3, 1/2*a^7 - 1/2*a, 1/4*a^8 - 1/4*a^2, 1/4*a^9 - 1/4*a^3, 1/4*a^10 - 1/4*a^4, 1/8*a^11 - 1/8*a^10 - 1/8*a^9 - 1/8*a^5 + 1/8*a^4 - 3/8*a^3 - 1/2*a^2 - 1/2*a, 1/8*a^12 - 1/8*a^9 - 1/8*a^6 + 1/8*a^3, 1/8*a^13 - 1/8*a^10 - 1/8*a^7 + 1/8*a^4, 1/32*a^14 + 1/32*a^12 - 3/32*a^10 - 1/32*a^8 + 1/8*a^7 - 1/32*a^6 - 1/8*a^5 + 3/32*a^4 + 3/8*a^3 - 1/2*a^2 + 1/4*a, 1/32*a^15 + 1/32*a^13 + 1/32*a^11 - 1/8*a^10 + 3/32*a^9 - 1/8*a^8 - 1/32*a^7 - 1/8*a^6 - 1/32*a^5 - 1/8*a^3, 1/32*a^16 + 1/16*a^10 - 1/4*a^7 - 3/32*a^4 + 1/4*a, 1/64*a^17 - 1/64*a^16 - 1/64*a^14 - 1/16*a^13 + 3/64*a^12 + 1/32*a^11 + 5/64*a^10 - 1/16*a^9 - 7/64*a^8 + 1/8*a^7 + 13/64*a^6 + 1/64*a^5 + 3/16*a^4 + 1/8*a^3 + 3/8*a^2, 1/64*a^18 - 1/64*a^16 - 1/64*a^15 - 1/64*a^14 - 1/64*a^13 + 1/64*a^12 - 1/64*a^11 - 3/64*a^10 + 5/64*a^9 - 3/64*a^8 + 5/64*a^7 - 7/32*a^6 + 5/64*a^5 - 1/8*a^4 - 1/8*a^2, 1/64*a^19 - 1/64*a^15 - 3/64*a^13 - 1/16*a^12 - 1/64*a^11 - 1/8*a^10 + 1/64*a^9 - 1/16*a^8 - 7/32*a^7 - 1/8*a^6 - 15/64*a^5 - 1/16*a^4 - 1/4*a^3 - 1/8*a^2, 1/9472*a^20 - 9/2368*a^19 - 7/4736*a^18 - 15/4736*a^17 - 55/9472*a^16 + 7/1184*a^15 + 63/9472*a^14 - 45/2368*a^13 - 155/9472*a^12 - 89/2368*a^11 - 233/9472*a^10 + 99/2368*a^9 + 31/296*a^8 + 561/2368*a^7 - 455/9472*a^6 + 215/4736*a^5 + 59/592*a^4 - 43/1184*a^3 + 59/592*a^2 - 1/74*a + 17/37, 1/20336384*a^21 - 73/10168192*a^20 + 1825/10168192*a^19 + 20291/10168192*a^18 + 35953/20336384*a^17 + 118271/10168192*a^16 - 22969/20336384*a^15 + 85615/10168192*a^14 + 460981/20336384*a^13 - 46043/10168192*a^12 + 1179119/20336384*a^11 - 140389/10168192*a^10 + 23369/1271024*a^9 - 42805/635512*a^8 - 3774431/20336384*a^7 + 45143/5084096*a^6 - 345769/2542048*a^5 + 409591/2542048*a^4 - 50165/158878*a^3 - 37089/317756*a^2 + 77437/158878*a - 25291/79439, 1/65253369840641792*a^22 - 662247085/32626684920320896*a^21 + 5254425991/65253369840641792*a^20 + 80590708193227/32626684920320896*a^19 - 337215451394729/65253369840641792*a^18 - 15399511548717/4078335615040112*a^17 - 1460924573869/2039167807520056*a^16 + 79807531365811/32626684920320896*a^15 + 239445416608027/16313342460160448*a^14 + 48549884800853/1717193943174784*a^13 + 703781746693539/16313342460160448*a^12 - 1543103511103687/32626684920320896*a^11 + 20440656984429/3434387886349568*a^10 - 52985264500669/858596971587392*a^9 - 5853528238691323/65253369840641792*a^8 + 2241989413909625/16313342460160448*a^7 + 8770234168596357/65253369840641792*a^6 - 1059255468919173/32626684920320896*a^5 + 672725219643027/4078335615040112*a^4 + 819727256289789/8156671230080224*a^3 - 1835233526121381/4078335615040112*a^2 - 176876261463597/509791951880014*a - 52392084205566/254895975940007], 0, 1, [], 1, [ (16049104621149)/(8156671230080224)*a^(22) - (483499096368431)/(65253369840641792)*a^(21) + (289414792855045)/(16313342460160448)*a^(20) - (760126833745943)/(32626684920320896)*a^(19) - (556473179543109)/(32626684920320896)*a^(18) + (4188836725213569)/(65253369840641792)*a^(17) + (4781366509432455)/(16313342460160448)*a^(16) + (18467875681868587)/(65253369840641792)*a^(15) + (3509609702221289)/(8156671230080224)*a^(14) - (44051639782117071)/(65253369840641792)*a^(13) - (4585178778093023)/(4078335615040112)*a^(12) - (77495905759232685)/(65253369840641792)*a^(11) + (54255115796577)/(8156671230080224)*a^(10) + (9634618812773885)/(16313342460160448)*a^(9) + (1225755942420909)/(509791951880014)*a^(8) - (21669523959069155)/(65253369840641792)*a^(7) + (3928393008829531)/(32626684920320896)*a^(6) - (5325810875291325)/(16313342460160448)*a^(5) + (1047286027500399)/(4078335615040112)*a^(4) - (4656092365851549)/(4078335615040112)*a^(3) + (358866945431741)/(2039167807520056)*a^(2) - (3578721257606039)/(1019583903760028)*a - (119860057563846)/(254895975940007) , (1626709)/(3905656064)*a^(22) - (4903109)/(3905656064)*a^(21) + (2608139)/(976414016)*a^(20) - (2486541)/(976414016)*a^(19) - (22976581)/(3905656064)*a^(18) + (29975019)/(3905656064)*a^(17) + (294373149)/(3905656064)*a^(16) + (416155717)/(3905656064)*a^(15) + (562505147)/(3905656064)*a^(14) - (218933745)/(3905656064)*a^(13) - (1169337807)/(3905656064)*a^(12) - (1928129947)/(3905656064)*a^(11) - (669273651)/(1952828032)*a^(10) - (146900351)/(976414016)*a^(9) + (1945703453)/(3905656064)*a^(8) + (2202230825)/(3905656064)*a^(7) + (149662583)/(488207008)*a^(6) + (102404477)/(976414016)*a^(5) - (38754557)/(488207008)*a^(4) - (5872647)/(30512938)*a^(3) - (31094261)/(122051752)*a^(2) + (9299)/(270026)*a - (13249185)/(15256469) , (36471690905829)/(65253369840641792)*a^(22) - (5576555494037)/(4078335615040112)*a^(21) + (203548979994139)/(65253369840641792)*a^(20) - (148027709873775)/(32626684920320896)*a^(19) - (97208699676069)/(65253369840641792)*a^(18) - (223915351861999)/(32626684920320896)*a^(17) + (1738597765758289)/(16313342460160448)*a^(16) + (1987689007534965)/(8156671230080224)*a^(15) + (2533328511093613)/(8156671230080224)*a^(14) - (2119186315701573)/(16313342460160448)*a^(13) - (2866094549934827)/(4078335615040112)*a^(12) - (19486885803959323)/(16313342460160448)*a^(11) - (28091369715167257)/(65253369840641792)*a^(10) + (4926480573851373)/(8156671230080224)*a^(9) + (95113102784225245)/(65253369840641792)*a^(8) + (28559608027495069)/(32626684920320896)*a^(7) - (2225195669929019)/(65253369840641792)*a^(6) - (22687695680951031)/(32626684920320896)*a^(5) + (142298991877369)/(2039167807520056)*a^(4) + (3703613668916281)/(8156671230080224)*a^(3) - (2370594677256019)/(4078335615040112)*a^(2) - (8041331134767)/(4511433202478)*a - (181736667078104)/(254895975940007) , (20174724465681)/(3434387886349568)*a^(22) - (1576297588005241)/(65253369840641792)*a^(21) + (1081790230633959)/(16313342460160448)*a^(20) - (1806257970657271)/(16313342460160448)*a^(19) + (1692718469054937)/(65253369840641792)*a^(18) + (10033403938480519)/(65253369840641792)*a^(17) + (44689325521408827)/(65253369840641792)*a^(16) + (63261046856801413)/(65253369840641792)*a^(15) + (93440054610095701)/(65253369840641792)*a^(14) - (101890867773760465)/(65253369840641792)*a^(13) - (141235487412194161)/(65253369840641792)*a^(12) - (273676105662798603)/(65253369840641792)*a^(11) - (89419193982440065)/(32626684920320896)*a^(10) + (9211536085729063)/(4078335615040112)*a^(9) + (283302908348242707)/(65253369840641792)*a^(8) + (156177397678886441)/(65253369840641792)*a^(7) + (25713905191199863)/(16313342460160448)*a^(6) + (1189344978995789)/(1019583903760028)*a^(5) - (39572399489782455)/(8156671230080224)*a^(4) + (1353588422242449)/(509791951880014)*a^(3) - (2588626988602791)/(509791951880014)*a^(2) - (1737422961739204)/(254895975940007)*a - (1389055769022713)/(254895975940007) , (629406958898803)/(32626684920320896)*a^(22) - (2735528231478803)/(32626684920320896)*a^(21) + (5964026460193003)/(32626684920320896)*a^(20) - (1665752825149803)/(8156671230080224)*a^(19) - (9463028963233699)/(32626684920320896)*a^(18) + (31466115588660311)/(32626684920320896)*a^(17) + (12528075894924543)/(4078335615040112)*a^(16) - (3369007416804783)/(32626684920320896)*a^(15) - (751646682229713)/(220450573785952)*a^(14) - (400457431375652453)/(32626684920320896)*a^(13) - (46516778620679667)/(8156671230080224)*a^(12) + (9665472044097249)/(881802295143808)*a^(11) + (697825723650254857)/(32626684920320896)*a^(10) + (80791070770293025)/(16313342460160448)*a^(9) + (4397116760958269)/(32626684920320896)*a^(8) - (821730621821276471)/(32626684920320896)*a^(7) - (302278679911599645)/(32626684920320896)*a^(6) + (147558857417387783)/(8156671230080224)*a^(5) + (4993010543272615)/(509791951880014)*a^(4) - (152463178027498721)/(4078335615040112)*a^(3) + (1901325591669813)/(1019583903760028)*a^(2) + (4927977140016061)/(254895975940007)*a + (4026478824631045)/(254895975940007) , (25239381007209)/(16313342460160448)*a^(22) - (121057455315781)/(16313342460160448)*a^(21) + (250001826522347)/(16313342460160448)*a^(20) - (110823854178065)/(8156671230080224)*a^(19) - (300422283606279)/(8156671230080224)*a^(18) + (1808309208144409)/(16313342460160448)*a^(17) + (211473285217643)/(858596971587392)*a^(16) - (1787351139115669)/(8156671230080224)*a^(15) - (10601885055178123)/(16313342460160448)*a^(14) - (1035304423697289)/(1019583903760028)*a^(13) - (848363884158841)/(16313342460160448)*a^(12) + (15057713591155917)/(8156671230080224)*a^(11) + (19203786475220701)/(8156671230080224)*a^(10) + (2630248591007939)/(16313342460160448)*a^(9) - (2619337840606027)/(2039167807520056)*a^(8) - (21973546291862317)/(8156671230080224)*a^(7) - (130429824325699)/(858596971587392)*a^(6) + (33616847241901793)/(16313342460160448)*a^(5) - (1551546348261029)/(4078335615040112)*a^(4) - (897363664557639)/(254895975940007)*a^(3) + (155774437721109)/(107324621448424)*a^(2) + (1493848518168913)/(509791951880014)*a + (455625475690631)/(254895975940007) , (1910523217639)/(881802295143808)*a^(22) - (77799738759033)/(16313342460160448)*a^(21) + (32560091213395)/(3434387886349568)*a^(20) - (11211803304133)/(2039167807520056)*a^(19) - (72999184303007)/(2039167807520056)*a^(18) + (406056239360129)/(32626684920320896)*a^(17) + (26284670263788891)/(65253369840641792)*a^(16) + (14817741596637971)/(16313342460160448)*a^(15) + (92149863056480205)/(65253369840641792)*a^(14) + (21419514276035)/(72182931239648)*a^(13) - (142864663645589497)/(65253369840641792)*a^(12) - (40221929106841555)/(8156671230080224)*a^(11) - (309591846623880577)/(65253369840641792)*a^(10) - (18304480359450959)/(16313342460160448)*a^(9) + (202107423878187405)/(32626684920320896)*a^(8) + (144857241150135975)/(16313342460160448)*a^(7) + (407342275090565945)/(65253369840641792)*a^(6) - (45906784401637387)/(32626684920320896)*a^(5) - (7482559676123803)/(1019583903760028)*a^(4) - (78370681959144435)/(8156671230080224)*a^(3) - (17897287942402487)/(4078335615040112)*a^(2) - (170034158460019)/(509791951880014)*a + (311280193091602)/(254895975940007) , (63159643144013)/(65253369840641792)*a^(22) - (189189347811017)/(65253369840641792)*a^(21) + (417595819169411)/(65253369840641792)*a^(20) - (117162340057627)/(16313342460160448)*a^(19) - (675247197955175)/(65253369840641792)*a^(18) + (890409850473957)/(65253369840641792)*a^(17) + (2794359143799887)/(16313342460160448)*a^(16) + (17865248849562285)/(65253369840641792)*a^(15) + (312500690835135)/(858596971587392)*a^(14) - (12643157579461325)/(65253369840641792)*a^(13) - (12576458574918851)/(16313342460160448)*a^(12) - (76130093324757687)/(65253369840641792)*a^(11) - (30939592571779821)/(65253369840641792)*a^(10) + (4933535487465823)/(16313342460160448)*a^(9) + (105736276496526957)/(65253369840641792)*a^(8) + (43906921601346545)/(65253369840641792)*a^(7) - (238323316992089)/(65253369840641792)*a^(6) - (4962629605715259)/(32626684920320896)*a^(5) + (992250699022595)/(8156671230080224)*a^(4) - (4505905157871957)/(8156671230080224)*a^(3) - (897935594452935)/(4078335615040112)*a^(2) - (893540461088041)/(509791951880014)*a - (351296155357624)/(254895975940007) , (84582887424471)/(65253369840641792)*a^(22) - (198688475982319)/(65253369840641792)*a^(21) + (423024348618549)/(65253369840641792)*a^(20) - (50183852923415)/(16313342460160448)*a^(19) - (1467703146560393)/(65253369840641792)*a^(18) + (1275615250468791)/(65253369840641792)*a^(17) + (901187525606891)/(4078335615040112)*a^(16) + (33034694977990295)/(65253369840641792)*a^(15) + (809128085110515)/(1019583903760028)*a^(14) + (316940254156481)/(577463449917184)*a^(13) - (110197139854363)/(4078335615040112)*a^(12) - (37010444320769341)/(65253369840641792)*a^(11) - (60222588308388595)/(65253369840641792)*a^(10) - (10280129656312735)/(8156671230080224)*a^(9) - (100527757333724009)/(65253369840641792)*a^(8) - (154070786703835869)/(65253369840641792)*a^(7) - (173993107468084427)/(65253369840641792)*a^(6) - (58044841446916609)/(32626684920320896)*a^(5) - (5907730704677395)/(8156671230080224)*a^(4) - (11216228607040407)/(8156671230080224)*a^(3) - (5027399687247489)/(4078335615040112)*a^(2) - (167007312979405)/(254895975940007)*a - (22658979317988)/(254895975940007) , (70544021591959)/(16313342460160448)*a^(22) - (30933613763017)/(1763604590287616)*a^(21) + (3301289553768237)/(65253369840641792)*a^(20) - (3119265126223283)/(32626684920320896)*a^(19) + (1095034427527815)/(16313342460160448)*a^(18) + (538336265782101)/(65253369840641792)*a^(17) + (39650330657533037)/(65253369840641792)*a^(16) + (52453568349848677)/(65253369840641792)*a^(15) + (87297629795178983)/(65253369840641792)*a^(14) - (99277483014700853)/(65253369840641792)*a^(13) - (113995724555664059)/(65253369840641792)*a^(12) - (310458402474490815)/(65253369840641792)*a^(11) - (51586703338026749)/(65253369840641792)*a^(10) + (33307814562674279)/(16313342460160448)*a^(9) + (21164374593697685)/(4078335615040112)*a^(8) + (60433150954862887)/(65253369840641792)*a^(7) + (81190067859297651)/(65253369840641792)*a^(6) - (96046027361403173)/(32626684920320896)*a^(5) - (8546978102417559)/(8156671230080224)*a^(4) + (21711080994369147)/(8156671230080224)*a^(3) - (22398284422863569)/(4078335615040112)*a^(2) - (1483824538183630)/(254895975940007)*a - (647062584179066)/(254895975940007) , (22581079455851)/(65253369840641792)*a^(22) - (46577474177481)/(32626684920320896)*a^(21) + (379677810469955)/(65253369840641792)*a^(20) - (492040360601095)/(32626684920320896)*a^(19) + (1400648204659733)/(65253369840641792)*a^(18) - (303717769713757)/(16313342460160448)*a^(17) + (943854135412219)/(32626684920320896)*a^(16) + (4186917768806761)/(32626684920320896)*a^(15) + (12782592640539911)/(32626684920320896)*a^(14) - (3799544012778139)/(32626684920320896)*a^(13) - (656323481080105)/(1717193943174784)*a^(12) - (55238462166397685)/(32626684920320896)*a^(11) - (62949278876990345)/(65253369840641792)*a^(10) + (3926931539277065)/(8156671230080224)*a^(9) + (166395615146199351)/(65253369840641792)*a^(8) + (1229949104690503)/(858596971587392)*a^(7) + (121138734256406201)/(65253369840641792)*a^(6) - (57211013123231337)/(32626684920320896)*a^(5) - (634785107748651)/(2039167807520056)*a^(4) + (4449543960317457)/(8156671230080224)*a^(3) + (2543286138216935)/(4078335615040112)*a^(2) - (2204384356577251)/(509791951880014)*a - (777820099572)/(2255716601239) ], 9293967260.34, []]