/* 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 + 4*x^21 - 14*x^20 + 25*x^19 - 6*x^18 - 14*x^17 - 26*x^16 + 31*x^15 + 48*x^14 - 62*x^13 + 19*x^12 + 19*x^11 + 24*x^10 - 17*x^9 + 34*x^8 + 40*x^7 - 228*x^6 + 76*x^5 + 4*x^4 + 28*x^3 + 45*x^2 + 49*x + 1, 23, 2, [1, 11], -1523249425950439235855871175083439, [1039], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, 1/3*a^8 - 1/3, 1/3*a^9 - 1/3*a, 1/3*a^10 - 1/3*a^2, 1/3*a^11 - 1/3*a^3, 1/3*a^12 - 1/3*a^4, 1/3*a^13 - 1/3*a^5, 1/3*a^14 - 1/3*a^6, 1/3*a^15 - 1/3*a^7, 1/9*a^16 + 1/9*a^8 - 2/9, 1/9*a^17 + 1/9*a^9 - 2/9*a, 1/9*a^18 + 1/9*a^10 - 2/9*a^2, 1/27*a^19 + 1/27*a^17 + 1/27*a^16 - 1/9*a^15 + 1/9*a^14 - 1/9*a^12 - 2/27*a^11 - 2/27*a^9 + 1/27*a^8 + 4/9*a^7 - 4/9*a^6 + 1/3*a^5 - 2/9*a^4 + 10/27*a^3 - 1/3*a^2 + 10/27*a - 11/27, 1/1647*a^20 - 1/549*a^19 + 85/1647*a^18 - 59/1647*a^17 + 14/549*a^16 - 65/549*a^15 - 7/61*a^14 + 41/549*a^13 - 209/1647*a^12 + 68/549*a^11 - 107/1647*a^10 - 257/1647*a^9 - 14/549*a^8 - 145/549*a^7 - 83/183*a^6 - 233/549*a^5 + 28/1647*a^4 + 83/549*a^3 + 31/1647*a^2 - 611/1647*a + 34/183, 1/1684881*a^21 - 175/1684881*a^20 - 4151/561627*a^19 + 719/561627*a^18 - 36719/1684881*a^17 + 56021/1684881*a^16 - 16099/187209*a^15 + 57115/561627*a^14 + 205921/1684881*a^13 + 124724/1684881*a^12 + 22225/561627*a^11 + 13586/187209*a^10 + 61120/1684881*a^9 + 129521/1684881*a^8 - 71395/187209*a^7 + 91517/561627*a^6 - 308513/1684881*a^5 - 731626/1684881*a^4 + 161272/561627*a^3 - 250190/561627*a^2 - 388946/1684881*a - 435895/1684881, 1/27918564098931*a^22 + 784448/9306188032977*a^21 - 2349680683/27918564098931*a^20 - 23447370737/3102062677659*a^19 + 1370586264214/27918564098931*a^18 + 331475931283/9306188032977*a^17 - 172682317417/27918564098931*a^16 - 828516859133/9306188032977*a^15 - 3899339361131/27918564098931*a^14 - 699736799495/9306188032977*a^13 + 5709962494/34767825777*a^12 + 156855724351/9306188032977*a^11 + 1688941533211/27918564098931*a^10 + 75603573679/3102062677659*a^9 + 3776769126722/27918564098931*a^8 - 661738837027/9306188032977*a^7 - 9968983470590/27918564098931*a^6 + 1022530562671/3102062677659*a^5 + 5743185482693/27918564098931*a^4 + 476765817470/9306188032977*a^3 + 6400961280025/27918564098931*a^2 + 95511075958/846017093907*a + 3517882628618/27918564098931], 0, 1, [], 1, [ (293377085095)/(27918564098931)*a^(22) - (364133333233)/(27918564098931)*a^(21) + (5910013252)/(282005697969)*a^(20) - (176278104253)/(846017093907)*a^(19) + (884147400773)/(2538051281721)*a^(18) - (4069011187765)/(27918564098931)*a^(17) - (1645476101926)/(3102062677659)*a^(16) - (770103242009)/(9306188032977)*a^(15) + (24182084610436)/(27918564098931)*a^(14) + (16515267325412)/(27918564098931)*a^(13) - (68867213809)/(42494009283)*a^(12) + (1824885869690)/(9306188032977)*a^(11) + (27681350169958)/(27918564098931)*a^(10) - (1072236664289)/(2538051281721)*a^(9) - (4046614697341)/(3102062677659)*a^(8) + (1619631878603)/(9306188032977)*a^(7) + (8679033177004)/(27918564098931)*a^(6) - (110762712906313)/(27918564098931)*a^(5) + (582613842115)/(344673630851)*a^(4) + (9400559743862)/(3102062677659)*a^(3) + (5892399823000)/(27918564098931)*a^(2) + (40977770348732)/(27918564098931)*a + (895056629564)/(1034020892553) , (44019546343)/(27918564098931)*a^(22) - (11477141821)/(3102062677659)*a^(21) + (182578888853)/(27918564098931)*a^(20) - (325945072676)/(9306188032977)*a^(19) + (2480032789672)/(27918564098931)*a^(18) - (1031091422807)/(9306188032977)*a^(17) - (1176789443851)/(27918564098931)*a^(16) + (483282737038)/(9306188032977)*a^(15) + (5198118651496)/(27918564098931)*a^(14) - (74894675212)/(300199613967)*a^(13) - (180810114880)/(382446083547)*a^(12) + (7099108794077)/(9306188032977)*a^(11) + (7761892006186)/(27918564098931)*a^(10) - (1893830832505)/(3102062677659)*a^(9) - (16887841384234)/(27918564098931)*a^(8) + (5860816923905)/(9306188032977)*a^(7) + (3917999600947)/(27918564098931)*a^(6) - (774081795448)/(846017093907)*a^(5) + (11070956824745)/(27918564098931)*a^(4) - (2834132792647)/(3102062677659)*a^(3) - (13293676709597)/(27918564098931)*a^(2) + (5773387480556)/(9306188032977)*a + (17346357793679)/(27918564098931) , (473690774699)/(27918564098931)*a^(22) + (18743478977)/(3102062677659)*a^(21) + (1696936380124)/(27918564098931)*a^(20) - (2091376841252)/(9306188032977)*a^(19) + (8208410773592)/(27918564098931)*a^(18) + (809636671432)/(9306188032977)*a^(17) - (10617228874430)/(27918564098931)*a^(16) - (5710372582960)/(9306188032977)*a^(15) + (6176284381067)/(27918564098931)*a^(14) + (1007507844059)/(846017093907)*a^(13) - (255949971230)/(382446083547)*a^(12) - (971707529608)/(3102062677659)*a^(11) + (5024160964169)/(27918564098931)*a^(10) + (1372512795722)/(9306188032977)*a^(9) - (2641207327628)/(27918564098931)*a^(8) - (1513087660061)/(9306188032977)*a^(7) + (5855882143559)/(27918564098931)*a^(6) - (44237642417215)/(9306188032977)*a^(5) - (3331205839018)/(2538051281721)*a^(4) + (3458344823891)/(9306188032977)*a^(3) + (6053116949153)/(27918564098931)*a^(2) + (561366094843)/(344673630851)*a + (28363542363157)/(27918564098931) , (1687004474)/(27918564098931)*a^(22) - (5950435289)/(457681378671)*a^(21) + (7211194067)/(846017093907)*a^(20) - (21001925)/(447391377)*a^(19) + (550207336813)/(2538051281721)*a^(18) - (11762739199148)/(27918564098931)*a^(17) + (602755179395)/(3102062677659)*a^(16) + (2409866554421)/(9306188032977)*a^(15) + (5895772327301)/(27918564098931)*a^(14) - (19363576944551)/(27918564098931)*a^(13) - (82389992057)/(127482027849)*a^(12) + (13293520930126)/(9306188032977)*a^(11) - (5834801002864)/(27918564098931)*a^(10) - (621556252606)/(2538051281721)*a^(9) - (971425175042)/(3102062677659)*a^(8) + (4758085226998)/(9306188032977)*a^(7) + (27396931592)/(900598841901)*a^(6) - (8460153164255)/(27918564098931)*a^(5) + (25691344493851)/(9306188032977)*a^(4) - (9533695317793)/(3102062677659)*a^(3) - (37459295284492)/(27918564098931)*a^(2) - (14362658623847)/(27918564098931)*a - (1559229915013)/(3102062677659) , (105846277865)/(3102062677659)*a^(22) - (475475902786)/(27918564098931)*a^(21) + (3895578708118)/(27918564098931)*a^(20) - (164637278227)/(300199613967)*a^(19) + (10216119817280)/(9306188032977)*a^(18) - (19089749878693)/(27918564098931)*a^(17) - (737080288729)/(2538051281721)*a^(16) - (33839374981)/(50853486519)*a^(15) + (1107574833940)/(846017093907)*a^(14) + (30400791858683)/(27918564098931)*a^(13) - (992862431810)/(382446083547)*a^(12) + (1364342995345)/(846017093907)*a^(11) - (263212384805)/(9306188032977)*a^(10) + (19826916165488)/(27918564098931)*a^(9) - (15366336129497)/(27918564098931)*a^(8) + (1376270624530)/(1034020892553)*a^(7) - (26521650371)/(300199613967)*a^(6) - (222051251430394)/(27918564098931)*a^(5) + (175216576742506)/(27918564098931)*a^(4) - (2273428829663)/(846017093907)*a^(3) + (2274211313609)/(1034020892553)*a^(2) + (35301528967334)/(27918564098931)*a + (22302249445744)/(27918564098931) , (40507386518)/(27918564098931)*a^(22) + (324158344799)/(27918564098931)*a^(21) - (154495062025)/(27918564098931)*a^(20) + (61700004874)/(3102062677659)*a^(19) - (4902546962320)/(27918564098931)*a^(18) + (11543926469078)/(27918564098931)*a^(17) - (8195540256103)/(27918564098931)*a^(16) - (2186807883418)/(9306188032977)*a^(15) - (93462183154)/(900598841901)*a^(14) + (18910124303219)/(27918564098931)*a^(13) + (172251754244)/(382446083547)*a^(12) - (11642106646231)/(9306188032977)*a^(11) + (13759015050860)/(27918564098931)*a^(10) - (4418769286201)/(27918564098931)*a^(9) + (1037901095201)/(27918564098931)*a^(8) + (1997517331924)/(9306188032977)*a^(7) + (22290207072050)/(27918564098931)*a^(6) - (349430616011)/(2538051281721)*a^(5) - (105975995441599)/(27918564098931)*a^(4) + (24873725424736)/(9306188032977)*a^(3) - (10927631019067)/(27918564098931)*a^(2) + (3598173506657)/(27918564098931)*a + (30125781048458)/(27918564098931) , (50114129)/(11589275259)*a^(22) - (225005978)/(127482027849)*a^(21) + (2913163265)/(127482027849)*a^(20) - (8545777835)/(127482027849)*a^(19) + (19921351319)/(127482027849)*a^(18) - (6101659480)/(42494009283)*a^(17) + (10497802610)/(127482027849)*a^(16) - (5433105806)/(42494009283)*a^(15) + (8790521419)/(127482027849)*a^(14) + (3269043955)/(127482027849)*a^(13) - (29142274672)/(127482027849)*a^(12) + (41824881454)/(127482027849)*a^(11) - (38742564148)/(127482027849)*a^(10) + (2655568496)/(14164669761)*a^(9) + (52850776700)/(127482027849)*a^(8) + (20368427735)/(42494009283)*a^(7) - (11408859317)/(127482027849)*a^(6) - (171597375935)/(127482027849)*a^(5) - (7645184398)/(127482027849)*a^(4) - (194364921869)/(127482027849)*a^(3) + (71309156120)/(127482027849)*a^(2) + (45495363772)/(42494009283)*a + (80331419588)/(127482027849) , (8435549215)/(382446083547)*a^(22) - (4598980492)/(382446083547)*a^(21) + (11633922617)/(127482027849)*a^(20) - (44422197070)/(127482027849)*a^(19) + (278464897210)/(382446083547)*a^(18) - (173611019800)/(382446083547)*a^(17) - (12651183334)/(42494009283)*a^(16) - (2338394533)/(11589275259)*a^(15) + (193750957)/(202245417)*a^(14) + (100001888543)/(382446083547)*a^(13) - (277980512941)/(127482027849)*a^(12) + (87635594449)/(42494009283)*a^(11) + (21170301671)/(34767825777)*a^(10) - (365250650305)/(382446083547)*a^(9) - (58605261632)/(42494009283)*a^(8) + (28507940974)/(11589275259)*a^(7) + (546855783118)/(382446083547)*a^(6) - (2760843618133)/(382446083547)*a^(5) + (410631313139)/(127482027849)*a^(4) - (54112638908)/(127482027849)*a^(3) + (134678165)/(34767825777)*a^(2) + (135811215437)/(382446083547)*a + (40219910512)/(42494009283) , (7239087247)/(382446083547)*a^(22) + (13917425)/(12336970437)*a^(21) + (10129654637)/(127482027849)*a^(20) - (1222066917)/(4721556587)*a^(19) + (181407260032)/(382446083547)*a^(18) - (48599676397)/(382446083547)*a^(17) - (24264685919)/(127482027849)*a^(16) - (64340758760)/(127482027849)*a^(15) + (191619753124)/(382446083547)*a^(14) + (319387460318)/(382446083547)*a^(13) - (118283100418)/(127482027849)*a^(12) + (20635535230)/(127482027849)*a^(11) + (171716692957)/(382446083547)*a^(10) + (20670815003)/(382446083547)*a^(9) + (103433682937)/(127482027849)*a^(8) - (40155599239)/(127482027849)*a^(7) + (628348048498)/(382446083547)*a^(6) - (1951193662543)/(382446083547)*a^(5) + (360626391428)/(127482027849)*a^(4) - (221972742820)/(127482027849)*a^(3) + (420028577482)/(382446083547)*a^(2) + (28717233332)/(382446083547)*a + (98868545002)/(127482027849) , (125327129)/(17096487507)*a^(22) - (255437993)/(17096487507)*a^(21) + (149066161)/(5698829169)*a^(20) - (956583223)/(5698829169)*a^(19) + (6428641610)/(17096487507)*a^(18) - (6891242915)/(17096487507)*a^(17) - (231980483)/(5698829169)*a^(16) - (493147009)/(5698829169)*a^(15) + (11374643462)/(17096487507)*a^(14) - (380744891)/(17096487507)*a^(13) - (93474512)/(78066153)*a^(12) + (5054555788)/(5698829169)*a^(11) - (1428894295)/(17096487507)*a^(10) + (4525855039)/(17096487507)*a^(9) - (448817458)/(518075379)*a^(8) + (1134640147)/(5698829169)*a^(7) - (5465262943)/(17096487507)*a^(6) - (35410692770)/(17096487507)*a^(5) + (20393367271)/(5698829169)*a^(4) - (2806096019)/(1899609723)*a^(3) + (6493359254)/(17096487507)*a^(2) - (5825789063)/(17096487507)*a + (30193717)/(183833199) , a ], 55921894.4803, []]