/* 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 + 40*x^18 - 75*x^17 + 45*x^16 + 48*x^15 - 5*x^14 - 295*x^13 + 535*x^12 - 285*x^11 - 261*x^10 + 375*x^9 + 50*x^8 - 275*x^7 + 65*x^6 + 92*x^5 - 35*x^4 - 25*x^3 + 10*x^2 + 5*x + 1, 20, 6, [0, 10], 48883259296417236328125, [3, 5], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, 1/3*a^10 + 1/3*a^9 - 1/3*a^8 + 1/3*a^7 + 1/3*a^6 + 1/3*a^5 - 1/3*a + 1/3, 1/3*a^11 + 1/3*a^9 - 1/3*a^8 - 1/3*a^5 - 1/3*a^2 - 1/3*a - 1/3, 1/3*a^12 + 1/3*a^9 + 1/3*a^8 - 1/3*a^7 + 1/3*a^6 - 1/3*a^5 - 1/3*a^3 - 1/3*a^2 - 1/3, 1/3*a^13 + 1/3*a^6 - 1/3*a^5 - 1/3*a^4 - 1/3*a^3 - 1/3, 1/3*a^14 + 1/3*a^7 - 1/3*a^6 - 1/3*a^5 - 1/3*a^4 - 1/3*a, 1/3*a^15 + 1/3*a^8 - 1/3*a^7 - 1/3*a^6 - 1/3*a^5 - 1/3*a^2, 1/9*a^16 + 1/9*a^15 - 1/9*a^13 - 1/9*a^12 - 1/9*a^10 - 4/9*a^9 - 1/3*a^8 - 2/9*a^7 - 2/9*a^6 - 2/9*a^4 - 2/9*a^3 + 1/3*a^2 + 1/9*a - 2/9, 1/27*a^17 - 1/27*a^16 + 1/27*a^15 - 4/27*a^14 + 1/27*a^13 + 2/27*a^12 - 1/27*a^11 + 1/27*a^10 - 10/27*a^9 - 5/27*a^8 - 10/27*a^7 - 2/27*a^6 + 1/27*a^5 + 5/27*a^4 - 2/27*a^3 + 1/27*a^2 - 13/27*a - 2/27, 1/27*a^18 - 1/9*a^15 - 1/9*a^14 + 1/9*a^13 + 1/27*a^12 - 2/9*a^9 + 1/9*a^8 - 1/9*a^7 + 8/27*a^6 - 4/9*a^5 + 1/9*a^4 - 1/27*a^3 - 4/9*a^2 + 1/9*a + 7/27, 1/7209*a^19 + 124/7209*a^18 + 34/2403*a^17 - 8/2403*a^16 + 11/2403*a^15 - 379/2403*a^14 - 173/7209*a^13 + 553/7209*a^12 + 137/2403*a^11 + 374/2403*a^10 - 701/2403*a^9 - 626/2403*a^8 - 88/7209*a^7 - 52/7209*a^6 + 814/2403*a^5 + 2915/7209*a^4 + 2891/7209*a^3 - 728/2403*a^2 + 520/7209*a + 1600/7209], 0, 1, [], 0, [ (3308)/(7209)*a^(19) - (31426)/(7209)*a^(18) + (41272)/(2403)*a^(17) - (9299)/(267)*a^(16) + (9482)/(267)*a^(15) - (34699)/(2403)*a^(14) + (158495)/(7209)*a^(13) - (792883)/(7209)*a^(12) + (546023)/(2403)*a^(11) - (191972)/(801)*a^(10) + (91814)/(801)*a^(9) + (22294)/(2403)*a^(8) - (185639)/(7209)*a^(7) - (80168)/(7209)*a^(6) + (56176)/(2403)*a^(5) - (84791)/(7209)*a^(4) + (31261)/(7209)*a^(3) - (7271)/(2403)*a^(2) + (6554)/(7209)*a + (3797)/(7209) , (3317)/(7209)*a^(19) - (32980)/(7209)*a^(18) + (44515)/(2403)*a^(17) - (29434)/(801)*a^(16) + (7802)/(267)*a^(15) + (26504)/(2403)*a^(14) - (53725)/(7209)*a^(13) - (816208)/(7209)*a^(12) + (605195)/(2403)*a^(11) - (159166)/(801)*a^(10) - (38449)/(801)*a^(9) + (485512)/(2403)*a^(8) - (725504)/(7209)*a^(7) - (381545)/(7209)*a^(6) + (145204)/(2403)*a^(5) - (17705)/(7209)*a^(4) - (101852)/(7209)*a^(3) + (17416)/(2403)*a^(2) - (5587)/(7209)*a - (1294)/(7209) , (3311)/(7209)*a^(19) - (28384)/(7209)*a^(18) + (30338)/(2403)*a^(17) - (36634)/(2403)*a^(16) - (13241)/(2403)*a^(15) + (52897)/(2403)*a^(14) + (173729)/(7209)*a^(13) - (744232)/(7209)*a^(12) + (227458)/(2403)*a^(11) + (82204)/(2403)*a^(10) - (292078)/(2403)*a^(9) + (76664)/(2403)*a^(8) + (545677)/(7209)*a^(7) - (283511)/(7209)*a^(6) - (52009)/(2403)*a^(5) + (102844)/(7209)*a^(4) + (45808)/(7209)*a^(3) - (6340)/(2403)*a^(2) - (24460)/(7209)*a - (5020)/(7209) , (734)/(7209)*a^(19) - (15250)/(7209)*a^(18) + (33233)/(2403)*a^(17) - (100390)/(2403)*a^(16) + (140506)/(2403)*a^(15) - (41624)/(2403)*a^(14) - (210286)/(7209)*a^(13) - (482941)/(7209)*a^(12) + (709051)/(2403)*a^(11) - (918974)/(2403)*a^(10) + (323846)/(2403)*a^(9) + (438170)/(2403)*a^(8) - (1214027)/(7209)*a^(7) - (321989)/(7209)*a^(6) + (235424)/(2403)*a^(5) - (135230)/(7209)*a^(4) - (173138)/(7209)*a^(3) + (20741)/(2403)*a^(2) + (38852)/(7209)*a - (400)/(7209) , (287)/(801)*a^(19) - (2237)/(801)*a^(18) + (18491)/(2403)*a^(17) - (14879)/(2403)*a^(16) - (17956)/(2403)*a^(15) + (16063)/(2403)*a^(14) + (72746)/(2403)*a^(13) - (139391)/(2403)*a^(12) + (55543)/(2403)*a^(11) + (95177)/(2403)*a^(10) - (73403)/(2403)*a^(9) - (101644)/(2403)*a^(8) + (81406)/(2403)*a^(7) + (82943)/(2403)*a^(6) - (62986)/(2403)*a^(5) - (31046)/(2403)*a^(4) + (31238)/(2403)*a^(3) + (7889)/(2403)*a^(2) - (13745)/(2403)*a - (3235)/(2403) , (3673)/(7209)*a^(19) - (31022)/(7209)*a^(18) + (32500)/(2403)*a^(17) - (37661)/(2403)*a^(16) - (16201)/(2403)*a^(15) + (52670)/(2403)*a^(14) + (212830)/(7209)*a^(13) - (783812)/(7209)*a^(12) + (219113)/(2403)*a^(11) + (101981)/(2403)*a^(10) - (285782)/(2403)*a^(9) + (43894)/(2403)*a^(8) + (525035)/(7209)*a^(7) - (93808)/(7209)*a^(6) - (94829)/(2403)*a^(5) + (98351)/(7209)*a^(4) + (89765)/(7209)*a^(3) - (11420)/(2403)*a^(2) - (38072)/(7209)*a - (1205)/(7209) , (3602)/(7209)*a^(19) - (27277)/(7209)*a^(18) + (21631)/(2403)*a^(17) + (289)/(267)*a^(16) - (28949)/(801)*a^(15) + (94442)/(2403)*a^(14) + (287858)/(7209)*a^(13) - (666613)/(7209)*a^(12) - (71320)/(2403)*a^(11) + (188665)/(801)*a^(10) - (185945)/(801)*a^(9) - (57887)/(2403)*a^(8) + (1030840)/(7209)*a^(7) + (29767)/(7209)*a^(6) - (192050)/(2403)*a^(5) + (109792)/(7209)*a^(4) + (153373)/(7209)*a^(3) - (7169)/(2403)*a^(2) - (72856)/(7209)*a - (12277)/(7209) , (7834)/(7209)*a^(19) - (67748)/(7209)*a^(18) + (24913)/(801)*a^(17) - (103612)/(2403)*a^(16) + (16309)/(2403)*a^(15) + (20158)/(801)*a^(14) + (482479)/(7209)*a^(13) - (1712678)/(7209)*a^(12) + (208826)/(801)*a^(11) - (126611)/(2403)*a^(10) - (272140)/(2403)*a^(9) - (198)/(89)*a^(8) + (899525)/(7209)*a^(7) - (182554)/(7209)*a^(6) - (43720)/(801)*a^(5) + (68219)/(7209)*a^(4) + (181379)/(7209)*a^(3) - (5855)/(801)*a^(2) - (44528)/(7209)*a - (9260)/(7209) , (5155)/(7209)*a^(19) - (44300)/(7209)*a^(18) + (16267)/(801)*a^(17) - (67228)/(2403)*a^(16) + (3928)/(2403)*a^(15) + (22630)/(801)*a^(14) + (182593)/(7209)*a^(13) - (1097147)/(7209)*a^(12) + (148607)/(801)*a^(11) - (44537)/(2403)*a^(10) - (390520)/(2403)*a^(9) + (29491)/(267)*a^(8) + (401561)/(7209)*a^(7) - (580717)/(7209)*a^(6) - (772)/(801)*a^(5) + (236093)/(7209)*a^(4) - (46225)/(7209)*a^(3) - (4472)/(801)*a^(2) + (3391)/(7209)*a + (1705)/(7209) ], 6025.48578502, [[x^2 - x - 1, 1], [x^4 - x^3 + x^2 - x + 1, 1], [x^5 - 5*x^2 - 3, 1], [x^10 - 5*x^7 + 10*x^6 + 9*x^5 - 10*x^4 - 5*x^3 - 1, 1]]]