/* 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 - 4*x^20 + 12*x^19 - 22*x^18 + 41*x^17 - 54*x^16 + 79*x^15 - 60*x^14 + 57*x^13 + 46*x^12 - 70*x^11 + 222*x^10 - 182*x^9 + 306*x^8 - 168*x^7 + 207*x^6 - 48*x^5 + 42*x^4 + 5*x^3 - 17*x^2 - 15*x - 1, 21, 9, [3, 9], -65701728236743660173798567, [3, 7], [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, 1/1686610631532830039*a^20 - 730242971566856973/1686610631532830039*a^19 + 499446466947492140/1686610631532830039*a^18 - 252011235784020128/1686610631532830039*a^17 - 503703143872236947/1686610631532830039*a^16 + 188778701101086612/1686610631532830039*a^15 - 190892104258966557/1686610631532830039*a^14 - 527435338438069102/1686610631532830039*a^13 + 518756764211831411/1686610631532830039*a^12 - 730520582785067509/1686610631532830039*a^11 + 8457731965588080/1686610631532830039*a^10 + 75589658619120481/1686610631532830039*a^9 + 379089844465653040/1686610631532830039*a^8 - 488939847116194629/1686610631532830039*a^7 + 824109991569998720/1686610631532830039*a^6 + 665436353342875679/1686610631532830039*a^5 + 311077520254505894/1686610631532830039*a^4 + 468521303771123227/1686610631532830039*a^3 - 128422295764890835/1686610631532830039*a^2 - 762090133636416309/1686610631532830039*a - 644116577167021825/1686610631532830039], 0, 1, [], 1, [ (62424729279289378)/(1686610631532830039)*a^(20) - (208989051738943613)/(1686610631532830039)*a^(19) + (561584997964811994)/(1686610631532830039)*a^(18) - (820912794244445881)/(1686610631532830039)*a^(17) + (1526335911104771323)/(1686610631532830039)*a^(16) - (1635206435706685629)/(1686610631532830039)*a^(15) + (2665358905619867713)/(1686610631532830039)*a^(14) - (841092662798276082)/(1686610631532830039)*a^(13) + (1467052231570229506)/(1686610631532830039)*a^(12) + (3698387377245477218)/(1686610631532830039)*a^(11) - (1090928476808749220)/(1686610631532830039)*a^(10) + (8159176435640409710)/(1686610631532830039)*a^(9) - (1698641384719044503)/(1686610631532830039)*a^(8) + (11084550387975240360)/(1686610631532830039)*a^(7) - (689869407798714786)/(1686610631532830039)*a^(6) + (8323017451825829846)/(1686610631532830039)*a^(5) + (1076455050620952176)/(1686610631532830039)*a^(4) + (5741816797887925921)/(1686610631532830039)*a^(3) - (891693625089508900)/(1686610631532830039)*a^(2) + (2761380351524386958)/(1686610631532830039)*a - (818229422053730189)/(1686610631532830039) , (339417889146668327)/(1686610631532830039)*a^(20) - (1389533762288163549)/(1686610631532830039)*a^(19) + (4202588427657636729)/(1686610631532830039)*a^(18) - (7883723770036288860)/(1686610631532830039)*a^(17) + (14771424582668076296)/(1686610631532830039)*a^(16) - (20102827639988777550)/(1686610631532830039)*a^(15) + (29513194273005904658)/(1686610631532830039)*a^(14) - (24585914020399019059)/(1686610631532830039)*a^(13) + (23678467638657112132)/(1686610631532830039)*a^(12) + (10666887002455983043)/(1686610631532830039)*a^(11) - (22225833734036632389)/(1686610631532830039)*a^(10) + (75874950069010121137)/(1686610631532830039)*a^(9) - (70324575151212207366)/(1686610631532830039)*a^(8) + (114803320327938111248)/(1686610631532830039)*a^(7) - (75234814789149457721)/(1686610631532830039)*a^(6) + (86119864278538914842)/(1686610631532830039)*a^(5) - (32767268582586244587)/(1686610631532830039)*a^(4) + (25085051651272321479)/(1686610631532830039)*a^(3) - (4484859796470918418)/(1686610631532830039)*a^(2) - (3619864286372890412)/(1686610631532830039)*a - (2472090473683085107)/(1686610631532830039) , (307585115089304087)/(1686610631532830039)*a^(20) - (1289578336235123160)/(1686610631532830039)*a^(19) + (3906218017821947706)/(1686610631532830039)*a^(18) - (7363061881800078078)/(1686610631532830039)*a^(17) + (13654796217960213112)/(1686610631532830039)*a^(16) - (18601118150490204317)/(1686610631532830039)*a^(15) + (26980262548547051804)/(1686610631532830039)*a^(14) - (22278994277258570099)/(1686610631532830039)*a^(13) + (20502044621743093246)/(1686610631532830039)*a^(12) + (11422233426200607771)/(1686610631532830039)*a^(11) - (23030854653776303794)/(1686610631532830039)*a^(10) + (71889448991610443773)/(1686610631532830039)*a^(9) - (65438135522556934823)/(1686610631532830039)*a^(8) + (104834195152169477231)/(1686610631532830039)*a^(7) - (65297918214889632815)/(1686610631532830039)*a^(6) + (75104461685361491584)/(1686610631532830039)*a^(5) - (22625593246064983223)/(1686610631532830039)*a^(4) + (18780034611566690424)/(1686610631532830039)*a^(3) + (746960722003413109)/(1686610631532830039)*a^(2) - (4250552008089793431)/(1686610631532830039)*a - (3325923613533764822)/(1686610631532830039) , (19791740076880774)/(1686610631532830039)*a^(20) - (119392068459624453)/(1686610631532830039)*a^(19) + (370913996924709043)/(1686610631532830039)*a^(18) - (815561153038765881)/(1686610631532830039)*a^(17) + (1401684733535503890)/(1686610631532830039)*a^(16) - (2223877707785043216)/(1686610631532830039)*a^(15) + (2833480911034272759)/(1686610631532830039)*a^(14) - (3223002779097158483)/(1686610631532830039)*a^(13) + (1817342493020223875)/(1686610631532830039)*a^(12) - (285469963117155969)/(1686610631532830039)*a^(11) - (4124343931739149818)/(1686610631532830039)*a^(10) + (5634294409372479799)/(1686610631532830039)*a^(9) - (10640421745351280792)/(1686610631532830039)*a^(8) + (8336069174984847648)/(1686610631532830039)*a^(7) - (11244895259058873840)/(1686610631532830039)*a^(6) + (4184805076587895400)/(1686610631532830039)*a^(5) - (5510162768063381099)/(1686610631532830039)*a^(4) + (450549307432661037)/(1686610631532830039)*a^(3) - (2210315579064796565)/(1686610631532830039)*a^(2) - (596430439299824814)/(1686610631532830039)*a - (790774399109551792)/(1686610631532830039) , (97721335297616)/(582192140674087)*a^(20) - (399443896722011)/(582192140674087)*a^(19) + (1192150129799870)/(582192140674087)*a^(18) - (2191855856529709)/(582192140674087)*a^(17) + (4025526892089502)/(582192140674087)*a^(16) - (5334683918333880)/(582192140674087)*a^(15) + (7678085417909481)/(582192140674087)*a^(14) - (5881813826564289)/(582192140674087)*a^(13) + (5219636550838702)/(582192140674087)*a^(12) + (4563269101948937)/(582192140674087)*a^(11) - (7466309621181074)/(582192140674087)*a^(10) + (21427237190044581)/(582192140674087)*a^(9) - (18185482182758373)/(582192140674087)*a^(8) + (28983137159471154)/(582192140674087)*a^(7) - (16584386080686464)/(582192140674087)*a^(6) + (19252709984433579)/(582192140674087)*a^(5) - (4452154857151209)/(582192140674087)*a^(4) + (4203586788469434)/(582192140674087)*a^(3) + (516970772568214)/(582192140674087)*a^(2) - (1127586431591005)/(582192140674087)*a - (808905272281207)/(582192140674087) , (132312536530920822)/(1686610631532830039)*a^(20) - (626683050940856913)/(1686610631532830039)*a^(19) + (2005436393267240188)/(1686610631532830039)*a^(18) - (4168511482907809177)/(1686610631532830039)*a^(17) + (7802463805334834470)/(1686610631532830039)*a^(16) - (11440923323820917814)/(1686610631532830039)*a^(15) + (16260865509160428907)/(1686610631532830039)*a^(14) - (16111627822251319426)/(1686610631532830039)*a^(13) + (14269441630532519850)/(1686610631532830039)*a^(12) + (611110495573340573)/(1686610631532830039)*a^(11) - (13518839106661964357)/(1686610631532830039)*a^(10) + (38147388978386151053)/(1686610631532830039)*a^(9) - (46144629676097874126)/(1686610631532830039)*a^(8) + (61390041858063495340)/(1686610631532830039)*a^(7) - (52328589143159422081)/(1686610631532830039)*a^(6) + (47086010261369493282)/(1686610631532830039)*a^(5) - (26916517404990913599)/(1686610631532830039)*a^(4) + (11812189747096186526)/(1686610631532830039)*a^(3) - (3563311797191447972)/(1686610631532830039)*a^(2) - (3847378167515338123)/(1686610631532830039)*a - (1599932258369695004)/(1686610631532830039) , (114093909132372468)/(1686610631532830039)*a^(20) - (506274586753569166)/(1686610631532830039)*a^(19) + (1591866063632739639)/(1686610631532830039)*a^(18) - (3253771460639225834)/(1686610631532830039)*a^(17) + (6257951289217223157)/(1686610631532830039)*a^(16) - (9255054106944699790)/(1686610631532830039)*a^(15) + (13509787971938030982)/(1686610631532830039)*a^(14) - (13434431761119663193)/(1686610631532830039)*a^(13) + (12953903268566648766)/(1686610631532830039)*a^(12) - (955171869369779779)/(1686610631532830039)*a^(11) - (8395763748090081897)/(1686610631532830039)*a^(10) + (30242358335084032771)/(1686610631532830039)*a^(9) - (37053110498363967553)/(1686610631532830039)*a^(8) + (53576484125995069392)/(1686610631532830039)*a^(7) - (45267281892169534938)/(1686610631532830039)*a^(6) + (43288535240349572708)/(1686610631532830039)*a^(5) - (23395013129307801035)/(1686610631532830039)*a^(4) + (13364741113795643752)/(1686610631532830039)*a^(3) - (2365923386198296204)/(1686610631532830039)*a^(2) - (431231373632308320)/(1686610631532830039)*a - (881385809546955482)/(1686610631532830039) , (593611910598668986)/(1686610631532830039)*a^(20) - (2419241103939191900)/(1686610631532830039)*a^(19) + (7302826892431896535)/(1686610631532830039)*a^(18) - (13520545183161307264)/(1686610631532830039)*a^(17) + (25069771146080016784)/(1686610631532830039)*a^(16) - (33210893412008067204)/(1686610631532830039)*a^(15) + (48292490660368478537)/(1686610631532830039)*a^(14) - (37217850925361362999)/(1686610631532830039)*a^(13) + (34352467805713715659)/(1686610631532830039)*a^(12) + (28136137106904492946)/(1686610631532830039)*a^(11) - (44947362769099187060)/(1686610631532830039)*a^(10) + (136731621301393536767)/(1686610631532830039)*a^(9) - (113833678688022117220)/(1686610631532830039)*a^(8) + (187256112882541133603)/(1686610631532830039)*a^(7) - (102934124523228749808)/(1686610631532830039)*a^(6) + (125061212533307440425)/(1686610631532830039)*a^(5) - (24606883446195036855)/(1686610631532830039)*a^(4) + (22852502449369401019)/(1686610631532830039)*a^(3) + (9288315759543619912)/(1686610631532830039)*a^(2) - (11448335206917870174)/(1686610631532830039)*a - (5967192527938626629)/(1686610631532830039) , (192632719628281376)/(1686610631532830039)*a^(20) - (800634412226365153)/(1686610631532830039)*a^(19) + (2425115220485447429)/(1686610631532830039)*a^(18) - (4538660313460256316)/(1686610631532830039)*a^(17) + (8393174199989360026)/(1686610631532830039)*a^(16) - (11266144873344063072)/(1686610631532830039)*a^(15) + (16284600806926705126)/(1686610631532830039)*a^(14) - (12903040061786688330)/(1686610631532830039)*a^(13) + (11604146978233252232)/(1686610631532830039)*a^(12) + (8797587467468764517)/(1686610631532830039)*a^(11) - (15402584278886436661)/(1686610631532830039)*a^(10) + (45418102845399669284)/(1686610631532830039)*a^(9) - (39377406167593025312)/(1686610631532830039)*a^(8) + (62782225732497174918)/(1686610631532830039)*a^(7) - (35713299989946903712)/(1686610631532830039)*a^(6) + (41252169019761021354)/(1686610631532830039)*a^(5) - (8933894764831753012)/(1686610631532830039)*a^(4) + (7855263951305810607)/(1686610631532830039)*a^(3) + (1915980778714556543)/(1686610631532830039)*a^(2) - (2874386300599843844)/(1686610631532830039)*a - (2746526036586306619)/(1686610631532830039) , (165594182429423560)/(1686610631532830039)*a^(20) - (766978466061014923)/(1686610631532830039)*a^(19) + (2413017876065456334)/(1686610631532830039)*a^(18) - (4856374777393007734)/(1686610631532830039)*a^(17) + (8909002233624290442)/(1686610631532830039)*a^(16) - (12670516701593780125)/(1686610631532830039)*a^(15) + (17898302726235189911)/(1686610631532830039)*a^(14) - (16659465839079108934)/(1686610631532830039)*a^(13) + (14038783683050893459)/(1686610631532830039)*a^(12) + (4341628308625503939)/(1686610631532830039)*a^(11) - (17270730170941429464)/(1686610631532830039)*a^(10) + (45049051650251399939)/(1686610631532830039)*a^(9) - (49122534475370168056)/(1686610631532830039)*a^(8) + (66871572266304043982)/(1686610631532830039)*a^(7) - (51229116277172331286)/(1686610631532830039)*a^(6) + (48468223219763236776)/(1686610631532830039)*a^(5) - (20546330993096874061)/(1686610631532830039)*a^(4) + (10761472156997026183)/(1686610631532830039)*a^(3) - (57133344976478771)/(1686610631532830039)*a^(2) - (1356656228963919744)/(1686610631532830039)*a - (1852699851809350051)/(1686610631532830039) , (242194632905724325)/(1686610631532830039)*a^(20) - (1053223207148443316)/(1686610631532830039)*a^(19) + (3254232319985222552)/(1686610631532830039)*a^(18) - (6380760839970686258)/(1686610631532830039)*a^(17) + (11940065576535591427)/(1686610631532830039)*a^(16) - (16873376000329966041)/(1686610631532830039)*a^(15) + (24424320978802409499)/(1686610631532830039)*a^(14) - (22182815845785652551)/(1686610631532830039)*a^(13) + (20434653742387620321)/(1686610631532830039)*a^(12) + (4970629073146304412)/(1686610631532830039)*a^(11) - (19089174601795872540)/(1686610631532830039)*a^(10) + (60243034613640087984)/(1686610631532830039)*a^(9) - (63715709915000116395)/(1686610631532830039)*a^(8) + (94489832120327583689)/(1686610631532830039)*a^(7) - (70518060628254927665)/(1686610631532830039)*a^(6) + (71584178683006169058)/(1686610631532830039)*a^(5) - (32864754938450113256)/(1686610631532830039)*a^(4) + (18879589734908822344)/(1686610631532830039)*a^(3) - (3959676854491612151)/(1686610631532830039)*a^(2) - (6042472394689894912)/(1686610631532830039)*a - (2011997605816517744)/(1686610631532830039) ], 31647.6272279, [[x^3 - x^2 - 2*x + 1, 1], [x^7 - 3*x^6 + 3*x^5 - 3*x^4 + 3*x^3 - 3*x^2 + 10*x - 9, 1]]]