/* 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 - 10*x^19 + 45*x^18 - 120*x^17 + 215*x^16 - 292*x^15 + 350*x^14 - 400*x^13 + 385*x^12 - 230*x^11 + 11*x^10 + 60*x^9 + 55*x^8 - 140*x^7 + 90*x^6 - 20*x^5 + 25*x^4 - 50*x^3 - 75*x^2 + 100*x - 25, 20, 32, [4, 8], 163840000000000000000000000, [2, 5], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, 1/5*a^10 - 1/5*a^5, 1/5*a^11 - 1/5*a^6, 1/10*a^12 - 1/10*a^10 + 2/5*a^7 - 1/2*a^6 - 2/5*a^5 - 1/2*a^2 - 1/2, 1/10*a^13 - 1/10*a^11 + 2/5*a^8 - 1/2*a^7 - 2/5*a^6 - 1/2*a^3 - 1/2*a, 1/10*a^14 - 1/10*a^10 + 2/5*a^9 - 1/2*a^8 - 1/2*a^6 - 2/5*a^5 - 1/2*a^4 - 1/2, 1/10*a^15 - 1/10*a^11 - 1/2*a^9 - 1/2*a^7 - 2/5*a^6 - 1/10*a^5 - 1/2*a, 1/10*a^16 - 1/2*a^8 + 2/5*a^6 - 1/2, 1/10*a^17 - 1/2*a^9 + 2/5*a^7 - 1/2*a, 1/61850*a^18 - 9/61850*a^17 - 442/30925*a^16 + 1091/61850*a^15 - 917/30925*a^14 + 2309/61850*a^13 + 717/30925*a^12 + 2197/30925*a^11 - 3281/61850*a^10 + 2592/30925*a^9 - 15/1237*a^8 - 1989/6185*a^7 - 80/1237*a^6 - 765/2474*a^5 - 674/6185*a^4 + 1161/2474*a^3 + 557/2474*a^2 + 1203/2474*a + 439/1237, 1/78611350*a^19 + 313/39305675*a^18 + 2838501/78611350*a^17 - 1154009/78611350*a^16 + 1705291/78611350*a^15 - 2807491/78611350*a^14 - 1823673/39305675*a^13 - 1206273/39305675*a^12 + 3808697/39305675*a^11 - 5480001/78611350*a^10 - 765937/1572227*a^9 + 3835803/7861135*a^8 + 3946391/15722270*a^7 + 936715/3144454*a^6 - 6455421/15722270*a^5 - 1038409/3144454*a^4 - 639/2474*a^3 - 395282/1572227*a^2 - 202091/1572227*a - 214798/1572227], 0, 1, [], 0, [ (576)/(6355)*a^(19) - (5472)/(6355)*a^(18) + (23184)/(6355)*a^(17) - (57528)/(6355)*a^(16) + (95076)/(6355)*a^(15) - (120654)/(6355)*a^(14) + (141273)/(6355)*a^(13) - (319527)/(12710)*a^(12) + (142196)/(6355)*a^(11) - (126577)/(12710)*a^(10) - (20542)/(6355)*a^(9) + (17934)/(6355)*a^(8) + (47002)/(6355)*a^(7) - (130801)/(12710)*a^(6) + (5798)/(1271)*a^(5) - (676)/(1271)*a^(4) + 2*a^(3) - (7707)/(2542)*a^(2) - (10249)/(1271)*a + (10249)/(2542) , (884082)/(7861135)*a^(19) - (82873123)/(78611350)*a^(18) + (172810176)/(39305675)*a^(17) - (840843883)/(78611350)*a^(16) + (678507306)/(39305675)*a^(15) - (842863529)/(39305675)*a^(14) + (979919774)/(39305675)*a^(13) - (1104735491)/(39305675)*a^(12) + (955325154)/(39305675)*a^(11) - (734653227)/(78611350)*a^(10) - (208739956)/(39305675)*a^(9) + (47674209)/(15722270)*a^(8) + (15342100)/(1572227)*a^(7) - (94577598)/(7861135)*a^(6) + (35246366)/(7861135)*a^(5) - (5137373)/(7861135)*a^(4) + (3927)/(1237)*a^(3) - (12603995)/(3144454)*a^(2) - (16488171)/(1572227)*a + (15186667)/(3144454) , (5115677)/(78611350)*a^(19) - (24291522)/(39305675)*a^(18) + (205758881)/(78611350)*a^(17) - (509215409)/(78611350)*a^(16) + (416982148)/(39305675)*a^(15) - (1036564573)/(78611350)*a^(14) + (1181671969)/(78611350)*a^(13) - (655585298)/(39305675)*a^(12) + (561375002)/(39305675)*a^(11) - (370592441)/(78611350)*a^(10) - (415825559)/(78611350)*a^(9) + (35075511)/(7861135)*a^(8) + (12595085)/(3144454)*a^(7) - (97653947)/(15722270)*a^(6) + (14153173)/(7861135)*a^(5) + (12956283)/(15722270)*a^(4) + (1163)/(1237)*a^(3) - (3816715)/(1572227)*a^(2) - (11249425)/(1572227)*a + (6283726)/(1572227) , (5271579)/(78611350)*a^(19) - (24676812)/(39305675)*a^(18) + (203848061)/(78611350)*a^(17) - (485156659)/(78611350)*a^(16) + (376895818)/(39305675)*a^(15) - (449801561)/(39305675)*a^(14) + (1053288539)/(78611350)*a^(13) - (1248560181)/(78611350)*a^(12) + (556070052)/(39305675)*a^(11) - (423155721)/(78611350)*a^(10) - (192725217)/(78611350)*a^(9) - (14830751)/(15722270)*a^(8) + (139570591)/(15722270)*a^(7) - (106105657)/(15722270)*a^(6) - (10294468)/(7861135)*a^(5) + (21059302)/(7861135)*a^(4) + (3774)/(1237)*a^(3) - (16452037)/(3144454)*a^(2) - (9279784)/(1572227)*a + (6158737)/(1572227) , (184686)/(7861135)*a^(19) - (18659837)/(78611350)*a^(18) + (42279384)/(39305675)*a^(17) - (226588157)/(78611350)*a^(16) + (203560284)/(39305675)*a^(15) - (276503956)/(39305675)*a^(14) + (661480967)/(78611350)*a^(13) - (379435664)/(39305675)*a^(12) + (751379877)/(78611350)*a^(11) - (498623403)/(78611350)*a^(10) + (57467226)/(39305675)*a^(9) + (631319)/(3144454)*a^(8) + (41442373)/(15722270)*a^(7) - (38957789)/(7861135)*a^(6) + (26405714)/(7861135)*a^(5) - (1134217)/(7861135)*a^(4) - (1669)/(2474)*a^(3) - (2482457)/(3144454)*a^(2) - (1913243)/(3144454)*a + (3044239)/(3144454) , (1774782)/(39305675)*a^(19) - (16326609)/(39305675)*a^(18) + (66675716)/(39305675)*a^(17) - (158215819)/(39305675)*a^(16) + (495298897)/(78611350)*a^(15) - (296704448)/(39305675)*a^(14) + (663253443)/(78611350)*a^(13) - (711135757)/(78611350)*a^(12) + (274955039)/(39305675)*a^(11) - (81884127)/(78611350)*a^(10) - (334515653)/(78611350)*a^(9) + (21177407)/(7861135)*a^(8) + (22258432)/(7861135)*a^(7) - (67570169)/(15722270)*a^(6) + (6271165)/(3144454)*a^(5) - (1392592)/(7861135)*a^(4) + (1899)/(2474)*a^(3) - (4037289)/(3144454)*a^(2) - (7699040)/(1572227)*a + (4627033)/(3144454) , (1200288)/(39305675)*a^(19) - (4566941)/(15722270)*a^(18) + (9684688)/(7861135)*a^(17) - (24109462)/(7861135)*a^(16) + (80263019)/(15722270)*a^(15) - (513042887)/(78611350)*a^(14) + (59701104)/(7861135)*a^(13) - (26504329)/(3144454)*a^(12) + (116443801)/(15722270)*a^(11) - (9859945)/(3144454)*a^(10) - (127763229)/(78611350)*a^(9) + (26949623)/(15722270)*a^(8) + (30178969)/(15722270)*a^(7) - (26783661)/(7861135)*a^(6) + (33297961)/(15722270)*a^(5) - (15969227)/(15722270)*a^(4) + (1654)/(1237)*a^(3) - (3046244)/(1572227)*a^(2) - (6550633)/(3144454)*a + (2150189)/(1572227) , (8678237)/(78611350)*a^(19) - (41213682)/(39305675)*a^(18) + (349151921)/(78611350)*a^(17) - (865026089)/(78611350)*a^(16) + (711004678)/(39305675)*a^(15) - (1782809563)/(78611350)*a^(14) + (1027722737)/(39305675)*a^(13) - (2303238411)/(78611350)*a^(12) + (2025815669)/(78611350)*a^(11) - (410495163)/(39305675)*a^(10) - (464266479)/(78611350)*a^(9) + (7661311)/(1572227)*a^(8) + (14155585)/(1572227)*a^(7) - (101461942)/(7861135)*a^(6) + (39944623)/(7861135)*a^(5) + (8775223)/(15722270)*a^(4) + (3563)/(2474)*a^(3) - (13186323)/(3144454)*a^(2) - (32032409)/(3144454)*a + (14975891)/(3144454) , (484402)/(39305675)*a^(19) - (7794099)/(78611350)*a^(18) + (25915771)/(78611350)*a^(17) - (42366219)/(78611350)*a^(16) + (26258981)/(78611350)*a^(15) + (19830353)/(78611350)*a^(14) - (27678093)/(39305675)*a^(13) + (89949089)/(78611350)*a^(12) - (178211811)/(78611350)*a^(11) + (283519329)/(78611350)*a^(10) - (125890596)/(39305675)*a^(9) + (5623132)/(7861135)*a^(8) + (2104215)/(3144454)*a^(7) + (3345109)/(7861135)*a^(6) - (3313205)/(3144454)*a^(5) + (7596289)/(15722270)*a^(4) - (210)/(1237)*a^(3) + (1583364)/(1572227)*a^(2) - (3649645)/(1572227)*a - (3104449)/(3144454) , (87023)/(1267925)*a^(19) - (1651797)/(2535850)*a^(18) + (6979583)/(2535850)*a^(17) - (8608761)/(1267925)*a^(16) + (14061964)/(1267925)*a^(15) - (17523982)/(1267925)*a^(14) + (40470827)/(2535850)*a^(13) - (22844064)/(1267925)*a^(12) + (39986607)/(2535850)*a^(11) - (14883843)/(2535850)*a^(10) - (11469197)/(2535850)*a^(9) + (184649)/(50717)*a^(8) + (500097)/(101434)*a^(7) - (1649173)/(253585)*a^(6) + (231972)/(253585)*a^(5) + (376457)/(253585)*a^(4) + (4127)/(2474)*a^(3) - (302213)/(101434)*a^(2) - (336776)/(50717)*a + (213201)/(50717) , (181267)/(2535850)*a^(19) - (861828)/(1267925)*a^(18) + (7275999)/(2535850)*a^(17) - (17900041)/(2535850)*a^(16) + (14596877)/(1267925)*a^(15) - (3657021)/(253585)*a^(14) + (42607571)/(2535850)*a^(13) - (47802249)/(2535850)*a^(12) + (20471968)/(1267925)*a^(11) - (15027909)/(2535850)*a^(10) - (10911087)/(2535850)*a^(9) + (359513)/(101434)*a^(8) + (2100743)/(507170)*a^(7) - (2995861)/(507170)*a^(6) + (571012)/(253585)*a^(5) + (22807)/(253585)*a^(4) + (971)/(1237)*a^(3) - (205627)/(101434)*a^(2) - (341624)/(50717)*a + (206892)/(50717) ], 331332.875442, [[x^2 - x - 1, 1], [x^10 + 5*x^8 + 20*x^6 - 4*x^5 + 30*x^4 + 15*x^2 + 20*x - 31, 1]]]