/* 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 - 3*x^19 + 7*x^18 - 5*x^17 + 4*x^16 + 11*x^15 - 9*x^14 + 21*x^13 + 18*x^12 - 9*x^11 + 49*x^10 - 9*x^9 + 18*x^8 + 21*x^7 - 9*x^6 + 11*x^5 + 4*x^4 - 5*x^3 + 7*x^2 - 3*x + 1, 20, 48, [0, 10], 540541632640000000000, [2, 5, 61], [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, 1/11*a^17 + 5/11*a^16 - 5/11*a^15 + 4/11*a^14 + 4/11*a^13 - 5/11*a^12 - 1/11*a^10 + 5/11*a^9 - 5/11*a^8 + 1/11*a^7 + 5/11*a^5 - 4/11*a^4 - 4/11*a^3 + 5/11*a^2 - 5/11*a - 1/11, 1/121319*a^18 + 684/121319*a^17 - 37420/121319*a^16 - 32717/121319*a^15 - 39256/121319*a^14 - 58471/121319*a^13 - 39915/121319*a^12 - 1349/2959*a^11 + 48584/121319*a^10 - 29478/121319*a^9 + 26526/121319*a^8 + 265/2959*a^7 + 48317/121319*a^6 + 7703/121319*a^5 + 37947/121319*a^4 + 33457/121319*a^3 - 37420/121319*a^2 - 32403/121319*a + 55146/121319, 1/121319*a^19 + 2058/121319*a^17 - 46775/121319*a^16 + 27505/121319*a^15 - 4723/11029*a^14 + 7211/121319*a^13 - 39195/121319*a^12 + 28412/121319*a^11 - 41586/121319*a^10 + 39495/121319*a^9 - 45359/121319*a^8 + 39174/121319*a^7 - 42357/121319*a^6 - 25217/121319*a^5 - 107/269*a^4 + 3670/11029*a^3 - 46461/121319*a^2 + 28450/121319*a - 11713/121319], 0, 1, [], 0, [ (66041)/(121319)*a^(19) - (85293)/(121319)*a^(18) + (170444)/(121319)*a^(17) + (29488)/(11029)*a^(16) + (21080)/(121319)*a^(15) + (944045)/(121319)*a^(14) + (879360)/(121319)*a^(13) + (850739)/(121319)*a^(12) + (3172754)/(121319)*a^(11) + (2482847)/(121319)*a^(10) + (3015868)/(121319)*a^(9) + (4661064)/(121319)*a^(8) + (2557554)/(121319)*a^(7) + (2848432)/(121319)*a^(6) + (2710759)/(121319)*a^(5) + (650999)/(121319)*a^(4) + (956995)/(121319)*a^(3) + (558331)/(121319)*a^(2) - (19963)/(121319)*a + (204201)/(121319) , (31585)/(121319)*a^(19) - (94507)/(121319)*a^(18) + (204736)/(121319)*a^(17) - (127938)/(121319)*a^(16) + (6697)/(11029)*a^(15) + (288670)/(121319)*a^(14) - (250329)/(121319)*a^(13) + (448312)/(121319)*a^(12) + (418882)/(121319)*a^(11) - (393081)/(121319)*a^(10) + (881883)/(121319)*a^(9) - (648608)/(121319)*a^(8) + (92002)/(121319)*a^(7) - (272748)/(121319)*a^(6) - (67622)/(11029)*a^(5) - (123208)/(121319)*a^(4) - (434089)/(121319)*a^(3) - (279725)/(121319)*a^(2) + (3656)/(121319)*a - (18466)/(11029) , (2043)/(121319)*a^(19) - (1472)/(11029)*a^(18) + (22291)/(121319)*a^(17) - (34689)/(121319)*a^(16) - (3220)/(11029)*a^(15) - (31175)/(121319)*a^(14) - (168121)/(121319)*a^(13) - (99826)/(121319)*a^(12) - (200934)/(121319)*a^(11) - (539848)/(121319)*a^(10) - (424267)/(121319)*a^(9) - (69036)/(11029)*a^(8) - (680241)/(121319)*a^(7) - (482813)/(121319)*a^(6) - (62335)/(11029)*a^(5) - (432156)/(121319)*a^(4) - (221825)/(121319)*a^(3) - (242420)/(121319)*a^(2) - (34779)/(121319)*a - (145269)/(121319) , (96475)/(121319)*a^(19) - (321367)/(121319)*a^(18) + (700290)/(121319)*a^(17) - (538148)/(121319)*a^(16) + (174885)/(121319)*a^(15) + (91478)/(11029)*a^(14) - (1338410)/(121319)*a^(13) + (1396947)/(121319)*a^(12) + (1220117)/(121319)*a^(11) - (2573052)/(121319)*a^(10) + (2922085)/(121319)*a^(9) - (2616227)/(121319)*a^(8) - (1068996)/(121319)*a^(7) + (247092)/(121319)*a^(6) - (57249)/(2959)*a^(5) - (39501)/(11029)*a^(4) - (10248)/(121319)*a^(3) - (696067)/(121319)*a^(2) + (382680)/(121319)*a - (246557)/(121319) , (19698)/(121319)*a^(19) - (159072)/(121319)*a^(18) + (32334)/(11029)*a^(17) - (583177)/(121319)*a^(16) + (98259)/(121319)*a^(15) + (20609)/(121319)*a^(14) - (1476786)/(121319)*a^(13) + (360601)/(121319)*a^(12) - (1381431)/(121319)*a^(11) - (3337747)/(121319)*a^(10) - (121751)/(121319)*a^(9) - (4911017)/(121319)*a^(8) - (2174052)/(121319)*a^(7) - (1816425)/(121319)*a^(6) - (3307751)/(121319)*a^(5) - (419172)/(121319)*a^(4) - (760566)/(121319)*a^(3) - (827912)/(121319)*a^(2) + (307201)/(121319)*a - (386675)/(121319) , a , (8914)/(11029)*a^(19) - (290874)/(121319)*a^(18) + (620487)/(121319)*a^(17) - (290771)/(121319)*a^(16) - (3643)/(121319)*a^(15) + (1314292)/(121319)*a^(14) - (856956)/(121319)*a^(13) + (1302787)/(121319)*a^(12) + (2447226)/(121319)*a^(11) - (1543496)/(121319)*a^(10) + (3535194)/(121319)*a^(9) + (495903)/(121319)*a^(8) - (175248)/(121319)*a^(7) + (2306926)/(121319)*a^(6) - (395063)/(121319)*a^(5) + (73688)/(121319)*a^(4) + (857396)/(121319)*a^(3) - (316841)/(121319)*a^(2) + (231080)/(121319)*a - (49823)/(121319) , (125545)/(121319)*a^(19) - (383902)/(121319)*a^(18) + (833924)/(121319)*a^(17) - (518305)/(121319)*a^(16) + (198772)/(121319)*a^(15) + (1402789)/(121319)*a^(14) - (116470)/(11029)*a^(13) + (1890808)/(121319)*a^(12) + (204791)/(11029)*a^(11) - (204107)/(11029)*a^(10) + (4387304)/(121319)*a^(9) - (1591230)/(121319)*a^(8) - (243237)/(121319)*a^(7) + (1597561)/(121319)*a^(6) - (2014487)/(121319)*a^(5) - (128010)/(121319)*a^(4) + (524162)/(121319)*a^(3) - (889807)/(121319)*a^(2) + (598630)/(121319)*a - (208424)/(121319) , (47071)/(121319)*a^(19) - (200235)/(121319)*a^(18) + (476040)/(121319)*a^(17) - (545206)/(121319)*a^(16) + (219997)/(121319)*a^(15) + (533672)/(121319)*a^(14) - (1250355)/(121319)*a^(13) + (1069741)/(121319)*a^(12) + (13936)/(11029)*a^(11) - (2372305)/(121319)*a^(10) + (2253815)/(121319)*a^(9) - (2613839)/(121319)*a^(8) - (834211)/(121319)*a^(7) + (405854)/(121319)*a^(6) - (1927912)/(121319)*a^(5) - (213330)/(121319)*a^(4) + (75732)/(121319)*a^(3) - (808468)/(121319)*a^(2) + (268790)/(121319)*a - (181090)/(121319) ], 75.025557452, [[x^2 - x - 1, 1], [x^4 - 2*x^3 + 6*x^2 - 5*x + 5, 1], [x^10 - x^9 - x^8 + 4*x^7 - 3*x^6 - 3*x^5 + 7*x^4 - 2*x^3 - 3*x^2 + 3*x - 1, 5]]]