/* 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 + 2*x^18 + 5*x^17 + 2*x^16 - 10*x^15 - 2*x^14 + 23*x^13 + 19*x^12 - 11*x^11 - 28*x^10 + 8*x^9 + 47*x^8 + 23*x^7 - 13*x^6 - 24*x^5 - 7*x^4 + 11*x^3 + 6*x^2 - 1, 21, 8, [1, 10], 156106141952973043121291857, [23, 71], [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, 1/7*a^17 + 1/7*a^16 - 3/7*a^15 - 1/7*a^14 - 3/7*a^13 + 3/7*a^12 - 1/7*a^11 + 2/7*a^10 + 1/7*a^9 + 1/7*a^8 - 2/7*a^7 - 2/7*a^6 + 1/7*a^5 - 3/7*a^4 - 2/7, 1/7*a^18 + 3/7*a^16 + 2/7*a^15 - 2/7*a^14 - 1/7*a^13 + 3/7*a^12 + 3/7*a^11 - 1/7*a^10 - 3/7*a^8 + 3/7*a^6 + 3/7*a^5 + 3/7*a^4 - 2/7*a + 2/7, 1/7*a^19 - 1/7*a^16 + 2/7*a^14 - 2/7*a^13 + 1/7*a^12 + 2/7*a^11 + 1/7*a^10 + 1/7*a^9 - 3/7*a^8 + 2/7*a^7 + 2/7*a^6 + 2/7*a^4 - 2/7*a^2 + 2/7*a - 1/7, 1/67050907*a^20 + 619012/9578701*a^19 - 2430104/67050907*a^18 - 48420/9578701*a^17 + 1154233/9578701*a^16 + 25935584/67050907*a^15 + 2144834/9578701*a^14 - 21230934/67050907*a^13 + 21553102/67050907*a^12 - 1793716/67050907*a^11 + 25671549/67050907*a^10 - 19772818/67050907*a^9 + 31783945/67050907*a^8 - 1214318/9578701*a^7 - 17854070/67050907*a^6 + 28224926/67050907*a^5 - 23307932/67050907*a^4 + 24879307/67050907*a^3 - 28098866/67050907*a^2 + 7421087/67050907*a - 6164758/67050907], 0, 1, [], 1, [ (12008369)/(67050907)*a^(20) - (33047792)/(67050907)*a^(19) + (22843134)/(67050907)*a^(18) + (26725256)/(67050907)*a^(17) + (10752985)/(67050907)*a^(16) - (53248837)/(67050907)*a^(15) - (97689134)/(67050907)*a^(14) + (191647202)/(67050907)*a^(13) + (24536663)/(9578701)*a^(12) - (227716730)/(67050907)*a^(11) - (219135061)/(67050907)*a^(10) + (9267503)/(9578701)*a^(9) + (448525808)/(67050907)*a^(8) + (72959049)/(67050907)*a^(7) - (447223565)/(67050907)*a^(6) - (73499782)/(67050907)*a^(5) + (56067461)/(67050907)*a^(4) + (166836778)/(67050907)*a^(3) + (49747284)/(67050907)*a^(2) - (140417181)/(67050907)*a - (14278335)/(67050907) , (8887528)/(67050907)*a^(20) - (5276769)/(67050907)*a^(19) - (421194)/(9578701)*a^(18) - (113737)/(67050907)*a^(17) + (55672847)/(67050907)*a^(16) + (46271614)/(67050907)*a^(15) - (44987521)/(67050907)*a^(14) - (6257727)/(9578701)*a^(13) + (132251481)/(67050907)*a^(12) + (274580767)/(67050907)*a^(11) + (123352825)/(67050907)*a^(10) - (30454823)/(9578701)*a^(9) - (38174746)/(67050907)*a^(8) + (46769497)/(9578701)*a^(7) + (451246056)/(67050907)*a^(6) + (192928256)/(67050907)*a^(5) - (144150016)/(67050907)*a^(4) - (48805293)/(67050907)*a^(3) + (2342726)/(9578701)*a^(2) + (14897336)/(67050907)*a + (49451407)/(67050907) , (22489672)/(67050907)*a^(20) - (33432431)/(67050907)*a^(19) + (4118413)/(67050907)*a^(18) + (4704945)/(9578701)*a^(17) + (13135473)/(9578701)*a^(16) + (11894625)/(67050907)*a^(15) - (178824222)/(67050907)*a^(14) + (75382215)/(67050907)*a^(13) + (57463174)/(9578701)*a^(12) + (28982315)/(9578701)*a^(11) - (154429789)/(67050907)*a^(10) - (325116961)/(67050907)*a^(9) + (338096482)/(67050907)*a^(8) + (617147831)/(67050907)*a^(7) + (214770755)/(67050907)*a^(6) + (5561692)/(9578701)*a^(5) - (201381921)/(67050907)*a^(4) - (94581715)/(67050907)*a^(3) - (8593195)/(67050907)*a^(2) + (20566820)/(67050907)*a + (64334063)/(67050907) , (7278451)/(67050907)*a^(20) - (20830646)/(67050907)*a^(19) + (13762131)/(67050907)*a^(18) + (17103208)/(67050907)*a^(17) + (8773211)/(67050907)*a^(16) - (41217677)/(67050907)*a^(15) - (62917751)/(67050907)*a^(14) + (119394070)/(67050907)*a^(13) + (118913021)/(67050907)*a^(12) - (145171162)/(67050907)*a^(11) - (175926347)/(67050907)*a^(10) + (41484117)/(67050907)*a^(9) + (302900347)/(67050907)*a^(8) + (9138292)/(9578701)*a^(7) - (277482844)/(67050907)*a^(6) - (65597912)/(67050907)*a^(5) + (31243986)/(67050907)*a^(4) + (108651232)/(67050907)*a^(3) + (33783481)/(67050907)*a^(2) + (939566)/(67050907)*a + (22369884)/(67050907) , (16040933)/(67050907)*a^(20) - (41707214)/(67050907)*a^(19) + (10888033)/(67050907)*a^(18) + (6152127)/(9578701)*a^(17) + (33238605)/(67050907)*a^(16) - (75185357)/(67050907)*a^(15) - (32488419)/(9578701)*a^(14) + (153244692)/(67050907)*a^(13) + (338544386)/(67050907)*a^(12) - (26362744)/(9578701)*a^(11) - (565116098)/(67050907)*a^(10) - (430299269)/(67050907)*a^(9) + (66111854)/(9578701)*a^(8) + (477109361)/(67050907)*a^(7) - (520337718)/(67050907)*a^(6) - (713627975)/(67050907)*a^(5) - (616159086)/(67050907)*a^(4) - (37045104)/(67050907)*a^(3) + (204717496)/(67050907)*a^(2) - (15170024)/(67050907)*a + (46714978)/(67050907) , (2704416)/(6095537)*a^(20) - (4418462)/(6095537)*a^(19) - (944630)/(6095537)*a^(18) + (6870274)/(6095537)*a^(17) + (10995805)/(6095537)*a^(16) - (4455616)/(6095537)*a^(15) - (29238339)/(6095537)*a^(14) + (11090250)/(6095537)*a^(13) + (66673450)/(6095537)*a^(12) + (13421304)/(6095537)*a^(11) - (64207681)/(6095537)*a^(10) - (55510962)/(6095537)*a^(9) + (73380672)/(6095537)*a^(8) + (113457210)/(6095537)*a^(7) - (13255122)/(6095537)*a^(6) - (77185698)/(6095537)*a^(5) - (39086402)/(6095537)*a^(4) + (26062517)/(6095537)*a^(3) + (6373848)/(870791)*a^(2) + (1071640)/(6095537)*a - (10180248)/(6095537) , (6140432)/(6095537)*a^(20) - (8740339)/(6095537)*a^(19) - (2468645)/(6095537)*a^(18) + (13423290)/(6095537)*a^(17) + (24458515)/(6095537)*a^(16) + (2470403)/(6095537)*a^(15) - (61792193)/(6095537)*a^(14) + (12012998)/(6095537)*a^(13) + (135044531)/(6095537)*a^(12) + (59344066)/(6095537)*a^(11) - (88736094)/(6095537)*a^(10) - (135617077)/(6095537)*a^(9) + (95168233)/(6095537)*a^(8) + (247718587)/(6095537)*a^(7) + (42957654)/(6095537)*a^(6) - (97123202)/(6095537)*a^(5) - (112422672)/(6095537)*a^(4) - (7998726)/(6095537)*a^(3) + (71192463)/(6095537)*a^(2) + (6805847)/(6095537)*a - (4177671)/(6095537) , (3828322)/(9578701)*a^(20) - (783098)/(67050907)*a^(19) - (50059839)/(67050907)*a^(18) + (31748593)/(67050907)*a^(17) + (172749974)/(67050907)*a^(16) + (27007069)/(9578701)*a^(15) - (194958361)/(67050907)*a^(14) - (39187079)/(9578701)*a^(13) + (77224518)/(9578701)*a^(12) + (1027922908)/(67050907)*a^(11) + (37166927)/(9578701)*a^(10) - (846234808)/(67050907)*a^(9) - (442419401)/(67050907)*a^(8) + (1290723344)/(67050907)*a^(7) + (1650909879)/(67050907)*a^(6) + (414358501)/(67050907)*a^(5) - (642490883)/(67050907)*a^(4) - (102421676)/(9578701)*a^(3) - (40422499)/(67050907)*a^(2) + (199562404)/(67050907)*a + (72863269)/(67050907) , (50258345)/(67050907)*a^(20) - (52389220)/(67050907)*a^(19) - (46321008)/(67050907)*a^(18) + (102617090)/(67050907)*a^(17) + (236851423)/(67050907)*a^(16) + (97357357)/(67050907)*a^(15) - (486961026)/(67050907)*a^(14) - (81113764)/(67050907)*a^(13) + (1111087753)/(67050907)*a^(12) + (871424593)/(67050907)*a^(11) - (499848119)/(67050907)*a^(10) - (1294404238)/(67050907)*a^(9) + (327945747)/(67050907)*a^(8) + (2141519764)/(67050907)*a^(7) + (1077104519)/(67050907)*a^(6) - (460370726)/(67050907)*a^(5) - (1098107610)/(67050907)*a^(4) - (546448211)/(67050907)*a^(3) + (329666790)/(67050907)*a^(2) + (248339249)/(67050907)*a + (59141074)/(67050907) , (2705595)/(3944171)*a^(20) - (4028547)/(3944171)*a^(19) - (520180)/(3944171)*a^(18) + (6235961)/(3944171)*a^(17) + (9402754)/(3944171)*a^(16) + (638140)/(3944171)*a^(15) - (24547823)/(3944171)*a^(14) + (1492892)/(563453)*a^(13) + (56010700)/(3944171)*a^(12) + (17008528)/(3944171)*a^(11) - (32749174)/(3944171)*a^(10) - (38609041)/(3944171)*a^(9) + (48598562)/(3944171)*a^(8) + (89856903)/(3944171)*a^(7) + (1156360)/(563453)*a^(6) - (2858385)/(563453)*a^(5) - (21965931)/(3944171)*a^(4) + (149351)/(3944171)*a^(3) + (23578965)/(3944171)*a^(2) - (1889574)/(3944171)*a - (4405369)/(3944171) ], 32527.0761402, [[x^3 - x^2 + 1, 1], [x^7 - x^6 - x^5 + x^4 - x^3 - x^2 + 2*x + 1, 1]]]