/* 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^20 - 23*x^18 + 173*x^16 - 276*x^14 - 2023*x^12 + 6181*x^10 + 8225*x^8 - 27296*x^6 - 18131*x^4 + 34005*x^2 + 17345, 20, 771, [12, 4], 105354091924918286208204800000000000, [2, 5, 3469], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, 1/2*a^10 - 1/2*a^9 - 1/2*a^8 - 1/2*a^6 - 1/2*a^5 - 1/2*a^4 - 1/2*a^2 - 1/2*a - 1/2, 1/2*a^11 - 1/2*a^8 - 1/2*a^7 - 1/2*a^4 - 1/2*a^3 - 1/2, 1/2*a^12 - 1/2*a^9 - 1/2*a^8 - 1/2*a^5 - 1/2*a^4 - 1/2*a, 1/2*a^13 - 1/2*a^8 - 1/2*a^4 - 1/2*a - 1/2, 1/2*a^14 - 1/2*a^9 - 1/2*a^5 - 1/2*a^2 - 1/2*a, 1/2*a^15 - 1/2*a^9 - 1/2*a^8 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a - 1/2, 1/2*a^16 - 1/2*a^8 - 1/2, 1/2*a^17 - 1/2*a^9 - 1/2*a, 1/824976433207202*a^18 + 159589066285535/824976433207202*a^16 - 183647849584933/824976433207202*a^14 + 71482572127587/824976433207202*a^12 - 56576465977155/824976433207202*a^10 - 107030070644631/412488216603601*a^8 - 128897050877610/412488216603601*a^6 + 192971780998663/824976433207202*a^4 - 26615114345794/412488216603601*a^2 - 244218587843277/824976433207202, 1/824976433207202*a^19 + 159589066285535/824976433207202*a^17 - 183647849584933/824976433207202*a^15 + 71482572127587/824976433207202*a^13 - 56576465977155/824976433207202*a^11 - 107030070644631/412488216603601*a^9 - 128897050877610/412488216603601*a^7 + 192971780998663/824976433207202*a^5 - 26615114345794/412488216603601*a^3 - 244218587843277/824976433207202*a], 0, 2, [2], 1, [ (14692350350)/(412488216603601)*a^(18) - (212176489211)/(412488216603601)*a^(16) + (360903874180)/(412488216603601)*a^(14) + (5182074199400)/(412488216603601)*a^(12) - (8966257455158)/(412488216603601)*a^(10) - (60443987334924)/(412488216603601)*a^(8) + (12059176869364)/(412488216603601)*a^(6) + (274887576206932)/(412488216603601)*a^(4) + (321969610273414)/(412488216603601)*a^(2) - (571605459087798)/(412488216603601) , (284701514215)/(412488216603601)*a^(18) - (14305948888061)/(824976433207202)*a^(16) + (127888416953053)/(824976433207202)*a^(14) - (405123226648729)/(824976433207202)*a^(12) - (238270915860212)/(412488216603601)*a^(10) + (2450893266722036)/(412488216603601)*a^(8) - (2069209952723784)/(412488216603601)*a^(6) - (12175070604733173)/(824976433207202)*a^(4) + (11971065495050631)/(824976433207202)*a^(2) + (5617545120358813)/(824976433207202) , (207177316823)/(412488216603601)*a^(18) - (10433479047353)/(824976433207202)*a^(16) + (91532814458165)/(824976433207202)*a^(14) - (131848492151299)/(412488216603601)*a^(12) - (488217675046083)/(824976433207202)*a^(10) + (1679252003222785)/(412488216603601)*a^(8) - (1255726731245241)/(824976433207202)*a^(6) - (8058677532722725)/(824976433207202)*a^(4) + (2402668518433275)/(412488216603601)*a^(2) + (1645796885600234)/(412488216603601) , (722152467883)/(824976433207202)*a^(18) - (18059024034265)/(824976433207202)*a^(16) + (159650961616931)/(824976433207202)*a^(14) - (491121199780115)/(824976433207202)*a^(12) - (641389443839845)/(824976433207202)*a^(10) + (2949030104119837)/(412488216603601)*a^(8) - (2219526156524628)/(412488216603601)*a^(6) - (14025647597152583)/(824976433207202)*a^(4) + (6346369079247703)/(412488216603601)*a^(2) + (6209154315923209)/(824976433207202) , (284701514215)/(412488216603601)*a^(18) - (14305948888061)/(824976433207202)*a^(16) + (127888416953053)/(824976433207202)*a^(14) - (405123226648729)/(824976433207202)*a^(12) - (238270915860212)/(412488216603601)*a^(10) + (2450893266722036)/(412488216603601)*a^(8) - (2069209952723784)/(412488216603601)*a^(6) - (12175070604733173)/(824976433207202)*a^(4) + (11971065495050631)/(824976433207202)*a^(2) + (4792568687151611)/(824976433207202) , (1618760986005)/(824976433207202)*a^(18) - (40459283711415)/(824976433207202)*a^(16) + (355384511519941)/(824976433207202)*a^(14) - (1056407414649001)/(824976433207202)*a^(12) - (1707544534043393)/(824976433207202)*a^(10) + (6751829556952064)/(412488216603601)*a^(8) - (3856822970917202)/(412488216603601)*a^(6) - (35761354228842555)/(824976433207202)*a^(4) + (12907707065678774)/(412488216603601)*a^(2) + (19836226771747543)/(824976433207202) , (1420573412613)/(824976433207202)*a^(18) - (17891280150742)/(412488216603601)*a^(16) + (318890647830145)/(824976433207202)*a^(14) - (985877453643191)/(824976433207202)*a^(12) - (1348790915942453)/(824976433207202)*a^(10) + (12141015852489291)/(824976433207202)*a^(8) - (4116005026245314)/(412488216603601)*a^(6) - (31116192257238049)/(824976433207202)*a^(4) + (12181771397370928)/(412488216603601)*a^(2) + (8884899852220182)/(412488216603601) , (1968711622731)/(824976433207202)*a^(18) - (47337927865171)/(824976433207202)*a^(16) + (398167583509435)/(824976433207202)*a^(14) - (552485243746990)/(412488216603601)*a^(12) - (1038276423324529)/(412488216603601)*a^(10) + (7194397430645367)/(412488216603601)*a^(8) - (7140913152327777)/(824976433207202)*a^(6) - (38112926326707991)/(824976433207202)*a^(4) + (25745737988322033)/(824976433207202)*a^(2) + (10687611508131643)/(412488216603601) , (360847777491)/(412488216603601)*a^(18) - (8661810973103)/(412488216603601)*a^(16) + (144574194783373)/(824976433207202)*a^(14) - (195637483100204)/(412488216603601)*a^(12) - (768892829292501)/(824976433207202)*a^(10) + (4916906708133269)/(824976433207202)*a^(8) - (1885829207520371)/(824976433207202)*a^(6) - (11586851685496837)/(824976433207202)*a^(4) + (3057854423270946)/(412488216603601)*a^(2) + (2574633932272223)/(824976433207202) , (360258919215)/(824976433207202)*a^(19) - (304960600733)/(824976433207202)*a^(18) - (8423643113243)/(824976433207202)*a^(17) + (6173655123563)/(824976433207202)*a^(16) + (69126739734533)/(824976433207202)*a^(15) - (20288964908979)/(412488216603601)*a^(14) - (95338399509506)/(412488216603601)*a^(13) + (29123620568525)/(412488216603601)*a^(12) - (311229603364875)/(824976433207202)*a^(11) + (168362034605558)/(412488216603601)*a^(10) + (2278778089781627)/(824976433207202)*a^(9) - (953431025180077)/(824976433207202)*a^(8) - (746575043250569)/(412488216603601)*a^(7) - (535195302955027)/(824976433207202)*a^(6) - (2412471951133661)/(412488216603601)*a^(5) + (1045978211387703)/(412488216603601)*a^(4) + (2076923503782320)/(412488216603601)*a^(3) + (299008086546767)/(412488216603601)*a^(2) + (830939395065769)/(824976433207202)*a + (566635569423529)/(824976433207202) , (461186712069)/(824976433207202)*a^(19) - (614758708038)/(412488216603601)*a^(18) - (10522460683991)/(824976433207202)*a^(17) + (13506435251217)/(412488216603601)*a^(16) + (83254247627153)/(824976433207202)*a^(15) - (200683529064215)/(824976433207202)*a^(14) - (209594851645565)/(824976433207202)*a^(13) + (213151843131041)/(412488216603601)*a^(12) - (235740924224104)/(412488216603601)*a^(11) + (1323247474743981)/(824976433207202)*a^(10) + (1428032040374297)/(412488216603601)*a^(9) - (2955739564362272)/(412488216603601)*a^(8) - (1247026905765395)/(824976433207202)*a^(7) + (1021456441687561)/(824976433207202)*a^(6) - (8145313375748047)/(824976433207202)*a^(5) + (6995343072296809)/(412488216603601)*a^(4) + (4375727116503159)/(824976433207202)*a^(3) - (4215464427531499)/(412488216603601)*a^(2) + (5147000221497107)/(824976433207202)*a - (2963580341663799)/(412488216603601) , (259559224558)/(412488216603601)*a^(19) - (554621083965)/(412488216603601)*a^(18) - (6500492779441)/(412488216603601)*a^(17) + (11622871347182)/(412488216603601)*a^(16) + (58138291788306)/(412488216603601)*a^(15) - (160161981897019)/(824976433207202)*a^(14) - (184895955707133)/(412488216603601)*a^(13) + (263724887345057)/(824976433207202)*a^(12) - (432518373204719)/(824976433207202)*a^(11) + (1295752224619359)/(824976433207202)*a^(10) + (4480212726023729)/(824976433207202)*a^(9) - (4225002244037575)/(824976433207202)*a^(8) - (3676792672285099)/(824976433207202)*a^(7) - (1456457004061709)/(824976433207202)*a^(6) - (11629438716861497)/(824976433207202)*a^(5) + (10574466136833357)/(824976433207202)*a^(4) + (11074554681260801)/(824976433207202)*a^(3) - (405316191963588)/(412488216603601)*a^(2) + (8440372695492299)/(824976433207202)*a - (1487080076908186)/(412488216603601) , (517249156716)/(412488216603601)*a^(19) - (734567524411)/(824976433207202)*a^(18) - (12688724369547)/(412488216603601)*a^(17) + (19395891757357)/(824976433207202)*a^(16) + (217078728503097)/(824976433207202)*a^(15) - (180709205124733)/(824976433207202)*a^(14) - (305083673456106)/(412488216603601)*a^(13) + (592876275445441)/(824976433207202)*a^(12) - (1141671821763943)/(824976433207202)*a^(11) + (675638816140307)/(824976433207202)*a^(10) + (7813747531414881)/(824976433207202)*a^(9) - (3551935873544952)/(412488216603601)*a^(8) - (3301190808382885)/(824976433207202)*a^(7) + (2717330920295189)/(412488216603601)*a^(6) - (19837350733986255)/(824976433207202)*a^(5) + (17591213263344729)/(824976433207202)*a^(4) + (5741645833099238)/(412488216603601)*a^(3) - (7926923928631695)/(412488216603601)*a^(2) + (9572144856806283)/(824976433207202)*a - (9767966952633439)/(824976433207202) , (463026064027)/(412488216603601)*a^(19) - (2122027558663)/(824976433207202)*a^(18) - (17306801873259)/(824976433207202)*a^(17) + (38194119832793)/(824976433207202)*a^(16) + (47192172421530)/(412488216603601)*a^(15) - (92848504848878)/(412488216603601)*a^(14) - (23430072941637)/(824976433207202)*a^(13) - (148933203745217)/(824976433207202)*a^(12) - (915605785277293)/(824976433207202)*a^(11) + (2345100284906841)/(824976433207202)*a^(10) + (528099739764932)/(412488216603601)*a^(9) - (256787496311750)/(412488216603601)*a^(8) + (1187665742717245)/(824976433207202)*a^(7) - (3457471855748468)/(412488216603601)*a^(6) - (2892410833013185)/(824976433207202)*a^(5) + (1353368553812633)/(824976433207202)*a^(4) + (1010223903702963)/(824976433207202)*a^(3) + (5843397788396641)/(824976433207202)*a^(2) + (1266397905893763)/(824976433207202)*a + (1015294964808233)/(824976433207202) , (1714582225629)/(824976433207202)*a^(19) - (230782971748)/(412488216603601)*a^(18) - (20672650446831)/(412488216603601)*a^(17) + (4155965755686)/(412488216603601)*a^(16) + (346188628566431)/(824976433207202)*a^(15) - (10509347082718)/(412488216603601)*a^(14) - (462442653679870)/(412488216603601)*a^(13) - (358055140628183)/(824976433207202)*a^(12) - (2047899288284145)/(824976433207202)*a^(11) + (937210032750699)/(412488216603601)*a^(10) + (6229146887067206)/(412488216603601)*a^(9) + (1089886028020956)/(412488216603601)*a^(8) - (1491773275492012)/(412488216603601)*a^(7) - (9516107580257206)/(412488216603601)*a^(6) - (17166350028910359)/(412488216603601)*a^(5) - (4020633070743514)/(412488216603601)*a^(4) + (4524839056101801)/(412488216603601)*a^(3) + (21716999447664241)/(412488216603601)*a^(2) + (5795325982528187)/(412488216603601)*a + (20565900853638727)/(824976433207202) ], 14875799020.2, [[x^2 - x - 1, 1], [x^10 - 3*x^9 - 7*x^8 + 20*x^7 + 21*x^6 - 41*x^5 - 33*x^4 + 22*x^3 + 17*x^2 - x - 1, 1]]]