/* 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 - 2*x^19 + x^18 - 3*x^17 + 6*x^16 - x^15 + 3*x^14 - 11*x^13 - x^12 + 6*x^11 + 7*x^10 - 5*x^9 + 9*x^8 - 16*x^7 - x^6 + x^5 + 8*x^4 + 4*x^3 + 7*x^2 - 3*x + 1, 20, 53, [0, 10], 682047345811660860416, [2, 7, 11], [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, a^15, a^16, a^17, a^18, 1/7318797294937*a^19 - 1410639547654/7318797294937*a^18 - 390299120196/7318797294937*a^17 + 1624629629653/7318797294937*a^16 + 769075695028/7318797294937*a^15 + 1892297014608/7318797294937*a^14 - 2075855182967/7318797294937*a^13 + 3218462238322/7318797294937*a^12 - 2340064898349/7318797294937*a^11 + 387515972805/7318797294937*a^10 - 3103520983785/7318797294937*a^9 - 2368183457789/7318797294937*a^8 + 696462083350/7318797294937*a^7 - 475763897942/7318797294937*a^6 - 2157400529077/7318797294937*a^5 - 2312566444157/7318797294937*a^4 - 773286184942/7318797294937*a^3 + 2887929273923/7318797294937*a^2 + 1542057169862/7318797294937*a + 1066398384319/7318797294937], 0, 1, [], 0, [ (2106215076653)/(7318797294937)*a^(19) - (4584523748496)/(7318797294937)*a^(18) + (2341536757477)/(7318797294937)*a^(17) - (5579517260742)/(7318797294937)*a^(16) + (12609847207926)/(7318797294937)*a^(15) - (1895050340710)/(7318797294937)*a^(14) + (2845250513083)/(7318797294937)*a^(13) - (21659253142772)/(7318797294937)*a^(12) - (2388328919342)/(7318797294937)*a^(11) + (19757118415479)/(7318797294937)*a^(10) + (10032415022443)/(7318797294937)*a^(9) - (11899710633383)/(7318797294937)*a^(8) + (18371436508419)/(7318797294937)*a^(7) - (36044244464268)/(7318797294937)*a^(6) - (1930390784297)/(7318797294937)*a^(5) + (11816936507882)/(7318797294937)*a^(4) + (10828375627315)/(7318797294937)*a^(3) + (7553756687004)/(7318797294937)*a^(2) + (13025644109670)/(7318797294937)*a - (3583074871221)/(7318797294937) , (1575063113903)/(7318797294937)*a^(19) - (2124250172305)/(7318797294937)*a^(18) - (841253068699)/(7318797294937)*a^(17) - (2712472715483)/(7318797294937)*a^(16) + (5459915654218)/(7318797294937)*a^(15) + (5905304600938)/(7318797294937)*a^(14) + (84273292878)/(7318797294937)*a^(13) - (11262887351996)/(7318797294937)*a^(12) - (14193966104692)/(7318797294937)*a^(11) + (14727421444450)/(7318797294937)*a^(10) + (12259974644961)/(7318797294937)*a^(9) - (4450847808615)/(7318797294937)*a^(8) + (7265041045023)/(7318797294937)*a^(7) - (9463981934319)/(7318797294937)*a^(6) - (19370229116326)/(7318797294937)*a^(5) + (4171160877881)/(7318797294937)*a^(4) + (9322872223434)/(7318797294937)*a^(3) + (16739336144664)/(7318797294937)*a^(2) + (8250754264433)/(7318797294937)*a + (1280811137671)/(7318797294937) , (385853941635)/(7318797294937)*a^(19) - (422785868063)/(7318797294937)*a^(18) + (195299734775)/(7318797294937)*a^(17) - (1539098410995)/(7318797294937)*a^(16) + (1454302134857)/(7318797294937)*a^(15) - (159667304620)/(7318797294937)*a^(14) + (3906466635892)/(7318797294937)*a^(13) - (3381830646422)/(7318797294937)*a^(12) - (1161582511379)/(7318797294937)*a^(11) - (5244575519896)/(7318797294937)*a^(10) + (3081700759260)/(7318797294937)*a^(9) + (1831697618834)/(7318797294937)*a^(8) + (9928988502929)/(7318797294937)*a^(7) - (3152210625795)/(7318797294937)*a^(6) - (7928101691864)/(7318797294937)*a^(5) - (6963984056903)/(7318797294937)*a^(4) + (1630525561115)/(7318797294937)*a^(3) + (2725051955247)/(7318797294937)*a^(2) + (13170573316858)/(7318797294937)*a + (6108870975866)/(7318797294937) , (1502146542462)/(7318797294937)*a^(19) - (2114075817261)/(7318797294937)*a^(18) - (84101538792)/(7318797294937)*a^(17) - (4370683425570)/(7318797294937)*a^(16) + (6696150553323)/(7318797294937)*a^(15) + (4197261632137)/(7318797294937)*a^(14) + (5029978871414)/(7318797294937)*a^(13) - (14435966629516)/(7318797294937)*a^(12) - (13992749861060)/(7318797294937)*a^(11) + (6705265995858)/(7318797294937)*a^(10) + (18161887171938)/(7318797294937)*a^(9) + (6272867379371)/(7318797294937)*a^(8) + (5730371471389)/(7318797294937)*a^(7) - (22911232576548)/(7318797294937)*a^(6) - (12923372677827)/(7318797294937)*a^(5) + (2925839897055)/(7318797294937)*a^(4) + (10850872252409)/(7318797294937)*a^(3) + (18206174842068)/(7318797294937)*a^(2) + (12170998920654)/(7318797294937)*a - (1862428255597)/(7318797294937) , (1276071209298)/(7318797294937)*a^(19) - (2009033949317)/(7318797294937)*a^(18) + (331055936591)/(7318797294937)*a^(17) - (3855827112444)/(7318797294937)*a^(16) + (7153710309456)/(7318797294937)*a^(15) + (363871939408)/(7318797294937)*a^(14) + (5994111973458)/(7318797294937)*a^(13) - (15872433965020)/(7318797294937)*a^(12) - (3469195770293)/(7318797294937)*a^(11) + (2402285854808)/(7318797294937)*a^(10) + (16865300850941)/(7318797294937)*a^(9) - (5957249791935)/(7318797294937)*a^(8) + (11052100605773)/(7318797294937)*a^(7) - (14573436761160)/(7318797294937)*a^(6) - (6504408337271)/(7318797294937)*a^(5) - (8130284144190)/(7318797294937)*a^(4) + (13828114233335)/(7318797294937)*a^(3) + (4381025078667)/(7318797294937)*a^(2) + (15814584688647)/(7318797294937)*a - (2712072861533)/(7318797294937) , (1116357147027)/(7318797294937)*a^(19) - (1470722247067)/(7318797294937)*a^(18) - (430601883587)/(7318797294937)*a^(17) - (2921555522479)/(7318797294937)*a^(16) + (5207787319646)/(7318797294937)*a^(15) + (2921772079039)/(7318797294937)*a^(14) + (4081463105331)/(7318797294937)*a^(13) - (12651825800880)/(7318797294937)*a^(12) - (8500949166336)/(7318797294937)*a^(11) + (3073720095302)/(7318797294937)*a^(10) + (16976378472586)/(7318797294937)*a^(9) - (80347822047)/(7318797294937)*a^(8) + (6215314410966)/(7318797294937)*a^(7) - (12868472086278)/(7318797294937)*a^(6) - (14080994735612)/(7318797294937)*a^(5) - (5138363723663)/(7318797294937)*a^(4) + (14349070953872)/(7318797294937)*a^(3) + (12473753847211)/(7318797294937)*a^(2) + (13522790633328)/(7318797294937)*a - (1115143000129)/(7318797294937) , (2299679184624)/(7318797294937)*a^(19) - (3529666032577)/(7318797294937)*a^(18) + (395855169313)/(7318797294937)*a^(17) - (6659013286166)/(7318797294937)*a^(16) + (11391616201287)/(7318797294937)*a^(15) + (3450688600957)/(7318797294937)*a^(14) + (7935553442551)/(7318797294937)*a^(13) - (24397373819874)/(7318797294937)*a^(12) - (13711536237294)/(7318797294937)*a^(11) + (10208658661310)/(7318797294937)*a^(10) + (26945503313214)/(7318797294937)*a^(9) - (2544142523632)/(7318797294937)*a^(8) + (11672205681572)/(7318797294937)*a^(7) - (32735874403983)/(7318797294937)*a^(6) - (12113141404582)/(7318797294937)*a^(5) + (923295038153)/(7318797294937)*a^(4) + (21167869019196)/(7318797294937)*a^(3) + (16059665364905)/(7318797294937)*a^(2) + (21922765551135)/(7318797294937)*a - (5397460544715)/(7318797294937) , (636567273296)/(7318797294937)*a^(19) - (1178351227650)/(7318797294937)*a^(18) - (283502569980)/(7318797294937)*a^(17) - (766982121942)/(7318797294937)*a^(16) + (4160955301312)/(7318797294937)*a^(15) + (1314589751840)/(7318797294937)*a^(14) - (1938566683843)/(7318797294937)*a^(13) - (9799329433089)/(7318797294937)*a^(12) - (1854180251097)/(7318797294937)*a^(11) + (12994615475292)/(7318797294937)*a^(10) + (12364037481681)/(7318797294937)*a^(9) - (10837648749084)/(7318797294937)*a^(8) - (8639488848372)/(7318797294937)*a^(7) - (7419981061377)/(7318797294937)*a^(6) + (1560573715595)/(7318797294937)*a^(5) + (10258045414837)/(7318797294937)*a^(4) + (11340214549058)/(7318797294937)*a^(3) + (1478915311480)/(7318797294937)*a^(2) - (7883441203917)/(7318797294937)*a - (3676123184321)/(7318797294937) , (1318135993969)/(7318797294937)*a^(19) - (2012933247783)/(7318797294937)*a^(18) + (435102521240)/(7318797294937)*a^(17) - (4157965303004)/(7318797294937)*a^(16) + (6212098972939)/(7318797294937)*a^(15) + (2233206184812)/(7318797294937)*a^(14) + (5013851656476)/(7318797294937)*a^(13) - (12089360487025)/(7318797294937)*a^(12) - (9865619736591)/(7318797294937)*a^(11) + (5430805075041)/(7318797294937)*a^(10) + (11367883523744)/(7318797294937)*a^(9) + (4520560918571)/(7318797294937)*a^(8) + (6296678413903)/(7318797294937)*a^(7) - (18952840846028)/(7318797294937)*a^(6) - (5833106520361)/(7318797294937)*a^(5) + (236776028583)/(7318797294937)*a^(4) + (6130347134914)/(7318797294937)*a^(3) + (13596043089389)/(7318797294937)*a^(2) + (13569212362923)/(7318797294937)*a + (1445953083920)/(7318797294937) ], 87.3510823497, [[x^2 - x + 2, 1], [x^4 - x^3 + x^2 + 4*x + 2, 1], [x^10 - 3*x^9 + 7*x^8 - 12*x^7 + 15*x^6 - 15*x^5 + 12*x^4 - 7*x^3 + 4*x^2 - 2*x + 1, 1]]]