/* 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^21 - x^20 - x^19 + x^18 - x^17 + 6*x^16 - 7*x^15 + 2*x^14 - 4*x^13 + 5*x^12 + 9*x^11 - 17*x^10 + 11*x^9 - 4*x^8 - 3*x^7 + 9*x^6 - 6*x^5 - x^4 + 3*x^3 - x^2 - x + 1, 21, 38, [3, 9], -214407920026380373514939807, [184607], [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, a^19, 1/5358583*a^20 - 2662255/5358583*a^19 - 443760/5358583*a^18 + 399614/5358583*a^17 - 2335469/5358583*a^16 - 395015/5358583*a^15 - 2367113/5358583*a^14 + 1687214/5358583*a^13 + 34779/75473*a^12 - 2062332/5358583*a^11 - 752710/5358583*a^10 - 1207523/5358583*a^9 + 1106327/5358583*a^8 + 230556/5358583*a^7 + 256508/5358583*a^6 - 2348669/5358583*a^5 - 229541/5358583*a^4 - 1718490/5358583*a^3 + 524140/5358583*a^2 + 2635971/5358583*a - 2607503/5358583], 0, 1, [], 1, [ a^(20) - a^(19) - a^(18) + a^(17) - a^(16) + 6*a^(15) - 7*a^(14) + 2*a^(13) - 4*a^(12) + 5*a^(11) + 9*a^(10) - 17*a^(9) + 11*a^(8) - 4*a^(7) - 3*a^(6) + 9*a^(5) - 6*a^(4) - a^(3) + 3*a^(2) - a - 1 , (1042982)/(5358583)*a^(20) - (298385)/(5358583)*a^(19) - (2161444)/(5358583)*a^(18) - (376792)/(5358583)*a^(17) - (1054248)/(5358583)*a^(16) + (6477808)/(5358583)*a^(15) - (1663959)/(5358583)*a^(14) - (3390720)/(5358583)*a^(13) - (37755)/(75473)*a^(12) - (2427743)/(5358583)*a^(11) + (17655527)/(5358583)*a^(10) - (13066845)/(5358583)*a^(9) + (4752558)/(5358583)*a^(8) - (654133)/(5358583)*a^(7) - (10105168)/(5358583)*a^(6) + (8500245)/(5358583)*a^(5) - (12435737)/(5358583)*a^(4) + (6138992)/(5358583)*a^(3) + (2023569)/(5358583)*a^(2) + (1070125)/(5358583)*a - (1366952)/(5358583) , (130375)/(5358583)*a^(20) + (1034)/(5358583)*a^(19) + (1410651)/(5358583)*a^(18) - (1827259)/(5358583)*a^(17) - (1367649)/(5358583)*a^(16) + (1260588)/(5358583)*a^(15) - (845239)/(5358583)*a^(14) + (11410266)/(5358583)*a^(13) - (181188)/(75473)*a^(12) + (6443274)/(5358583)*a^(11) - (13552937)/(5358583)*a^(10) + (15074581)/(5358583)*a^(9) + (11121180)/(5358583)*a^(8) - (18987879)/(5358583)*a^(7) + (15389746)/(5358583)*a^(6) - (18288255)/(5358583)*a^(5) + (11995346)/(5358583)*a^(4) + (4938646)/(5358583)*a^(3) - (3256499)/(5358583)*a^(2) + (2715586)/(5358583)*a + (660478)/(5358583) , (1542060)/(5358583)*a^(20) - (1827259)/(5358583)*a^(19) - (2779334)/(5358583)*a^(18) + (2437006)/(5358583)*a^(17) + (646581)/(5358583)*a^(16) + (10808791)/(5358583)*a^(15) - (11760427)/(5358583)*a^(14) - (5093231)/(5358583)*a^(13) - (35479)/(75473)*a^(12) + (9665001)/(5358583)*a^(11) + (25473945)/(5358583)*a^(10) - (34986459)/(5358583)*a^(9) + (5185327)/(5358583)*a^(8) - (79524)/(5358583)*a^(7) - (3794831)/(5358583)*a^(6) + (24145730)/(5358583)*a^(5) - (15511561)/(5358583)*a^(4) - (2486912)/(5358583)*a^(3) + (4178761)/(5358583)*a^(2) + (2644031)/(5358583)*a - (791887)/(5358583) , (2868683)/(5358583)*a^(20) - (638322)/(5358583)*a^(19) - (5714851)/(5358583)*a^(18) - (1131411)/(5358583)*a^(17) - (1781253)/(5358583)*a^(16) + (17448931)/(5358583)*a^(15) - (3990085)/(5358583)*a^(14) - (9748341)/(5358583)*a^(13) - (172306)/(75473)*a^(12) - (1036108)/(5358583)*a^(11) + (45734831)/(5358583)*a^(10) - (25100604)/(5358583)*a^(9) + (296846)/(5358583)*a^(8) - (7104776)/(5358583)*a^(7) - (21912928)/(5358583)*a^(6) + (22143540)/(5358583)*a^(5) - (1609714)/(5358583)*a^(4) - (3143164)/(5358583)*a^(3) - (89265)/(5358583)*a^(2) + (795743)/(5358583)*a + (66981)/(5358583) , a^(20) - a^(19) - a^(18) + a^(17) - a^(16) + 6*a^(15) - 7*a^(14) + 2*a^(13) - 4*a^(12) + 5*a^(11) + 9*a^(10) - 17*a^(9) + 11*a^(8) - 4*a^(7) - 3*a^(6) + 9*a^(5) - 6*a^(4) - a^(3) + 3*a^(2) - a , (744597)/(5358583)*a^(20) - (1118462)/(5358583)*a^(19) - (1419774)/(5358583)*a^(18) - (11266)/(5358583)*a^(17) + (219916)/(5358583)*a^(16) + (5636915)/(5358583)*a^(15) - (5476684)/(5358583)*a^(14) + (1491323)/(5358583)*a^(13) - (107643)/(75473)*a^(12) + (8268689)/(5358583)*a^(11) + (4663849)/(5358583)*a^(10) - (6720244)/(5358583)*a^(9) + (3517795)/(5358583)*a^(8) - (6976222)/(5358583)*a^(7) - (886593)/(5358583)*a^(6) - (6177845)/(5358583)*a^(5) + (7181974)/(5358583)*a^(4) - (1105377)/(5358583)*a^(3) + (2113107)/(5358583)*a^(2) + (5034613)/(5358583)*a - (1042982)/(5358583) , (4422433)/(5358583)*a^(20) - (1576467)/(5358583)*a^(19) - (3581658)/(5358583)*a^(18) + (108879)/(5358583)*a^(17) - (6145480)/(5358583)*a^(16) + (24272335)/(5358583)*a^(15) - (15578870)/(5358583)*a^(14) + (10538980)/(5358583)*a^(13) - (365272)/(75473)*a^(12) + (8232730)/(5358583)*a^(11) + (33312081)/(5358583)*a^(10) - (34730396)/(5358583)*a^(9) + (40335522)/(5358583)*a^(8) - (18069075)/(5358583)*a^(7) - (17218553)/(5358583)*a^(6) + (20935037)/(5358583)*a^(5) - (10446899)/(5358583)*a^(4) + (5266657)/(5358583)*a^(3) + (11784310)/(5358583)*a^(2) - (4628652)/(5358583)*a - (2814872)/(5358583) , (3326477)/(5358583)*a^(20) - (3527689)/(5358583)*a^(19) - (1781595)/(5358583)*a^(18) + (3095068)/(5358583)*a^(17) - (4920730)/(5358583)*a^(16) + (18052522)/(5358583)*a^(15) - (25388798)/(5358583)*a^(14) + (16619704)/(5358583)*a^(13) - (263387)/(75473)*a^(12) + (20562803)/(5358583)*a^(11) + (11141408)/(5358583)*a^(10) - (46538335)/(5358583)*a^(9) + (46555903)/(5358583)*a^(8) - (13319246)/(5358583)*a^(7) - (11360272)/(5358583)*a^(6) + (15246304)/(5358583)*a^(5) - (13006804)/(5358583)*a^(4) - (7908245)/(5358583)*a^(3) + (12145487)/(5358583)*a^(2) - (4312134)/(5358583)*a - (5136572)/(5358583) , (1772478)/(5358583)*a^(20) - (4152341)/(5358583)*a^(19) - (590208)/(5358583)*a^(18) + (4163969)/(5358583)*a^(17) - (3110269)/(5358583)*a^(16) + (13133359)/(5358583)*a^(15) - (24550172)/(5358583)*a^(14) + (15619903)/(5358583)*a^(13) - (126470)/(75473)*a^(12) + (15749248)/(5358583)*a^(11) + (7362794)/(5358583)*a^(10) - (52391713)/(5358583)*a^(9) + (52556784)/(5358583)*a^(8) - (22253310)/(5358583)*a^(7) - (4904977)/(5358583)*a^(6) + (22546424)/(5358583)*a^(5) - (27392655)/(5358583)*a^(4) + (15050802)/(5358583)*a^(3) + (9084210)/(5358583)*a^(2) - (6855975)/(5358583)*a - (1375015)/(5358583) , (4942191)/(5358583)*a^(20) - (4456999)/(5358583)*a^(19) - (7262252)/(5358583)*a^(18) + (4005211)/(5358583)*a^(17) + (323591)/(5358583)*a^(16) + (31532193)/(5358583)*a^(15) - (32275056)/(5358583)*a^(14) - (5387673)/(5358583)*a^(13) - (315493)/(75473)*a^(12) + (36337560)/(5358583)*a^(11) + (57847063)/(5358583)*a^(10) - (78663202)/(5358583)*a^(9) + (11668326)/(5358583)*a^(8) - (13376673)/(5358583)*a^(7) + (4755803)/(5358583)*a^(6) + (41660497)/(5358583)*a^(5) - (12726065)/(5358583)*a^(4) - (19685740)/(5358583)*a^(3) + (2024127)/(5358583)*a^(2) + (6677841)/(5358583)*a - (1981118)/(5358583) ], 59489.8190642, []]