/* 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 + 6*x^18 - 3*x^17 + 11*x^16 - 4*x^15 + 32*x^14 - 18*x^13 + 52*x^12 - 27*x^11 + 77*x^10 - 50*x^9 + 70*x^8 - 44*x^7 + 53*x^6 - 24*x^5 + 30*x^4 - 27*x^3 + 7*x^2 - 2*x + 1, 20, 174, [0, 10], 54320086096828525390625, [5, 13, 41], [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, 1/7*a^18 + 1/7*a^17 - 3/7*a^16 - 3/7*a^15 + 3/7*a^14 - 1/7*a^13 + 1/7*a^11 - 1/7*a^10 - 2/7*a^8 + 3/7*a^6 + 3/7*a^4 - 1/7*a^3 - 2/7*a^2 + 3/7, 1/954153880759121*a^19 + 7328833107142/136307697251303*a^18 - 272982321462960/954153880759121*a^17 - 29256956833333/136307697251303*a^16 - 326558077876423/954153880759121*a^15 + 391599725471776/954153880759121*a^14 - 40844251575112/954153880759121*a^13 - 125098059064068/954153880759121*a^12 - 414317166761815/954153880759121*a^11 - 346860234631364/954153880759121*a^10 - 95970386665596/954153880759121*a^9 + 227804907959064/954153880759121*a^8 + 404632233072847/954153880759121*a^7 - 341030604756845/954153880759121*a^6 - 212469584531054/954153880759121*a^5 - 438794628078468/954153880759121*a^4 + 206428529135940/954153880759121*a^3 + 86229213312181/954153880759121*a^2 + 429421687076686/954153880759121*a + 30242605278344/954153880759121], 0, 1, [], 0, [ (991658626030)/(8917325988403)*a^(19) - (3419042274532)/(8917325988403)*a^(18) + (7872122978870)/(8917325988403)*a^(17) - (9871803417355)/(8917325988403)*a^(16) + (1354263542277)/(1273903712629)*a^(15) - (17582140236986)/(8917325988403)*a^(14) + (25709738672616)/(8917325988403)*a^(13) - (62847378862476)/(8917325988403)*a^(12) + (6278590269140)/(1273903712629)*a^(11) - (93696266983258)/(8917325988403)*a^(10) + (57451251482726)/(8917325988403)*a^(9) - (149038257373520)/(8917325988403)*a^(8) + (55389201046857)/(8917325988403)*a^(7) - (118421926795313)/(8917325988403)*a^(6) + (38789066013025)/(8917325988403)*a^(5) - (80219384976223)/(8917325988403)*a^(4) + (11228126674017)/(8917325988403)*a^(3) - (61675480392439)/(8917325988403)*a^(2) + (18959085479151)/(8917325988403)*a + (728329789452)/(8917325988403) , (1460889644344)/(8917325988403)*a^(19) - (3883521750498)/(8917325988403)*a^(18) + (1523377335251)/(1273903712629)*a^(17) - (9913046170761)/(8917325988403)*a^(16) + (18434016798467)/(8917325988403)*a^(15) - (15481228487245)/(8917325988403)*a^(14) + (50086912881434)/(8917325988403)*a^(13) - (56008713604721)/(8917325988403)*a^(12) + (91640555692204)/(8917325988403)*a^(11) - (85337915693945)/(8917325988403)*a^(10) + (133801246922615)/(8917325988403)*a^(9) - (142090030006221)/(8917325988403)*a^(8) + (144513616667971)/(8917325988403)*a^(7) - (121734990480984)/(8917325988403)*a^(6) + (115826373643720)/(8917325988403)*a^(5) - (79521717144971)/(8917325988403)*a^(4) + (65263326541743)/(8917325988403)*a^(3) - (54973465036185)/(8917325988403)*a^(2) + (36427751614091)/(8917325988403)*a - (4204391062654)/(8917325988403) , (194693466583975)/(954153880759121)*a^(19) - (398847288423232)/(954153880759121)*a^(18) + (1272536429052652)/(954153880759121)*a^(17) - (797258871738580)/(954153880759121)*a^(16) + (2652687764154049)/(954153880759121)*a^(15) - (1051246904568408)/(954153880759121)*a^(14) + (1026828282067337)/(136307697251303)*a^(13) - (4026004135898505)/(954153880759121)*a^(12) + (13076298266797232)/(954153880759121)*a^(11) - (963683584588983)/(136307697251303)*a^(10) + (19554284755427768)/(954153880759121)*a^(9) - (1683101906782871)/(136307697251303)*a^(8) + (21024548312873657)/(954153880759121)*a^(7) - (1728313121144992)/(136307697251303)*a^(6) + (16882052575498501)/(954153880759121)*a^(5) - (6933302967614354)/(954153880759121)*a^(4) + (11189062867143773)/(954153880759121)*a^(3) - (871836563291507)/(136307697251303)*a^(2) + (4323941530096131)/(954153880759121)*a - (250694626836163)/(136307697251303) , (168711782600666)/(954153880759121)*a^(19) - (161247211167277)/(954153880759121)*a^(18) + (727611928005117)/(954153880759121)*a^(17) + (466219321054121)/(954153880759121)*a^(16) + (1692052036747493)/(954153880759121)*a^(15) + (179452805581352)/(136307697251303)*a^(14) + (5617842652817991)/(954153880759121)*a^(13) + (2830621304984701)/(954153880759121)*a^(12) + (8107159653042676)/(954153880759121)*a^(11) + (5051871941437651)/(954153880759121)*a^(10) + (12757650609755904)/(954153880759121)*a^(9) + (5407369495846705)/(954153880759121)*a^(8) + (9607937875527808)/(954153880759121)*a^(7) + (5234254605909970)/(954153880759121)*a^(6) + (7342738409509921)/(954153880759121)*a^(5) + (583895477778998)/(136307697251303)*a^(4) + (786854095752616)/(136307697251303)*a^(3) + (1055367086275420)/(954153880759121)*a^(2) - (413585922686246)/(954153880759121)*a - (748058923239540)/(954153880759121) , (204363136465969)/(954153880759121)*a^(19) - (132929569046030)/(954153880759121)*a^(18) + (125625542902403)/(136307697251303)*a^(17) + (700363275018214)/(954153880759121)*a^(16) + (2538872830554457)/(954153880759121)*a^(15) + (2001850889963972)/(954153880759121)*a^(14) + (7590069447787098)/(954153880759121)*a^(13) + (5183813470925878)/(954153880759121)*a^(12) + (12303563347241855)/(954153880759121)*a^(11) + (7621486920886894)/(954153880759121)*a^(10) + (18640507419851531)/(954153880759121)*a^(9) + (9935103496448303)/(954153880759121)*a^(8) + (16065225823488493)/(954153880759121)*a^(7) + (6284139009195260)/(954153880759121)*a^(6) + (12007823931938276)/(954153880759121)*a^(5) + (6951800392833728)/(954153880759121)*a^(4) + (9125364012965525)/(954153880759121)*a^(3) + (1670422461446870)/(954153880759121)*a^(2) - (680462696339901)/(954153880759121)*a - (1223938531489979)/(954153880759121) , (9460355255282)/(954153880759121)*a^(19) - (104375629548802)/(954153880759121)*a^(18) + (30454067426665)/(136307697251303)*a^(17) - (511059631730324)/(954153880759121)*a^(16) + (272473038232508)/(954153880759121)*a^(15) - (957607043784159)/(954153880759121)*a^(14) + (521521737386955)/(954153880759121)*a^(13) - (2952238004430532)/(954153880759121)*a^(12) + (1489061494355556)/(954153880759121)*a^(11) - (4562887828461693)/(954153880759121)*a^(10) + (2047040018281347)/(954153880759121)*a^(9) - (7396005651995407)/(954153880759121)*a^(8) + (3531679318320044)/(954153880759121)*a^(7) - (6563298846547826)/(954153880759121)*a^(6) + (2260659769598954)/(954153880759121)*a^(5) - (5348258869624523)/(954153880759121)*a^(4) + (846132345273224)/(954153880759121)*a^(3) - (2961087264008306)/(954153880759121)*a^(2) + (1365475454685191)/(954153880759121)*a + (194693466583975)/(954153880759121) , (387482538454561)/(954153880759121)*a^(19) - (595230557312284)/(954153880759121)*a^(18) + (284568963132027)/(136307697251303)*a^(17) - (153438005404956)/(954153880759121)*a^(16) + (3894951236887386)/(954153880759121)*a^(15) + (235958600033195)/(954153880759121)*a^(14) + (11998523485640960)/(954153880759121)*a^(13) - (1725583695565831)/(954153880759121)*a^(12) + (17674826072592200)/(954153880759121)*a^(11) - (2471447250316938)/(954153880759121)*a^(10) + (26102684560920414)/(954153880759121)*a^(9) - (8117008609039837)/(954153880759121)*a^(8) + (20171437919221342)/(954153880759121)*a^(7) - (8312267946976664)/(954153880759121)*a^(6) + (14577840694981975)/(954153880759121)*a^(5) - (3757552790518425)/(954153880759121)*a^(4) + (9451390995363234)/(954153880759121)*a^(3) - (6629552276542037)/(954153880759121)*a^(2) - (1172736703680530)/(954153880759121)*a - (922340066807536)/(954153880759121) , (105494727070333)/(954153880759121)*a^(19) - (6515339703213)/(954153880759121)*a^(18) + (371525012139910)/(954153880759121)*a^(17) + (649496258654552)/(954153880759121)*a^(16) + (1383453384602641)/(954153880759121)*a^(15) + (1557219087234226)/(954153880759121)*a^(14) + (4172719296912604)/(954153880759121)*a^(13) + (4442583726248282)/(954153880759121)*a^(12) + (6508826449238467)/(954153880759121)*a^(11) + (6295839691308444)/(954153880759121)*a^(10) + (10186256578634446)/(954153880759121)*a^(9) + (8196813278983400)/(954153880759121)*a^(8) + (8355942992123696)/(954153880759121)*a^(7) + (5121799087582837)/(954153880759121)*a^(6) + (6173701103267744)/(954153880759121)*a^(5) + (4477263609537008)/(954153880759121)*a^(4) + (5357951588410077)/(954153880759121)*a^(3) + (1800268900006095)/(954153880759121)*a^(2) - (145165257880296)/(954153880759121)*a - (1814258735704392)/(954153880759121) , (169131619191644)/(954153880759121)*a^(19) - (52503657924721)/(136307697251303)*a^(18) + (1102350081535967)/(954153880759121)*a^(17) - (98987882940018)/(136307697251303)*a^(16) + (2043840897015305)/(954153880759121)*a^(15) - (820755646763614)/(954153880759121)*a^(14) + (5818009643428917)/(954153880759121)*a^(13) - (3559450540081523)/(954153880759121)*a^(12) + (10293931387186257)/(954153880759121)*a^(11) - (4845433164798649)/(954153880759121)*a^(10) + (15185375932737303)/(954153880759121)*a^(9) - (8731098610620154)/(954153880759121)*a^(8) + (15540961368244947)/(954153880759121)*a^(7) - (6693642849950719)/(954153880759121)*a^(6) + (11234638262966459)/(954153880759121)*a^(5) - (3427547596744280)/(954153880759121)*a^(4) + (6447156947331362)/(954153880759121)*a^(3) - (3168627946702448)/(954153880759121)*a^(2) + (2233274639779433)/(954153880759121)*a + (354874299569232)/(954153880759121) ], 852.798782372, [[x^2 - x - 1, 1], [x^4 - x^3 + 3*x^2 - 2*x + 4, 1], [x^5 - x^4 + x^3 - x^2 + 2*x - 1, 1], [x^10 - x^9 - x^8 - x^6 + 4*x^5 + 2*x^4 - 5*x^3 - x^2 + 2*x - 1, 1]]]