/* 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 - 2*x^19 + 14*x^17 - 36*x^16 - 24*x^15 + 76*x^14 - 174*x^13 - 197*x^12 + 210*x^11 + 34*x^10 - 176*x^9 + 19*x^8 - 58*x^7 - 100*x^6 + 16*x^5 + 13*x^4 - 2*x^3 + 10*x^2 + 4*x - 1, 20, 23, [4, 8], 49338146756019243307761664, [2, 11], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, a^12, 1/11*a^13 + 5/11*a^12 - 2/11*a^11 + 1/11*a^10 - 1/11*a^8 + 1/11*a^7 + 3/11*a^5 - 2/11*a^4 + 2/11*a^3 - 2/11*a^2 - 2/11*a + 2/11, 1/11*a^14 - 5/11*a^12 - 5/11*a^10 - 1/11*a^9 - 5/11*a^8 - 5/11*a^7 + 3/11*a^6 + 5/11*a^5 + 1/11*a^4 - 1/11*a^3 - 3/11*a^2 + 1/11*a + 1/11, 1/11*a^15 + 3/11*a^12 - 4/11*a^11 + 4/11*a^10 - 5/11*a^9 + 1/11*a^8 - 3/11*a^7 + 5/11*a^6 + 5/11*a^5 - 4/11*a^3 + 2/11*a^2 + 2/11*a - 1/11, 1/11*a^16 + 3/11*a^12 - 1/11*a^11 + 3/11*a^10 + 1/11*a^9 + 2/11*a^7 + 5/11*a^6 + 2/11*a^5 + 2/11*a^4 - 4/11*a^3 - 3/11*a^2 + 5/11*a + 5/11, 1/11*a^17 - 5/11*a^12 - 2/11*a^11 - 2/11*a^10 + 5/11*a^8 + 2/11*a^7 + 2/11*a^6 + 4/11*a^5 + 2/11*a^4 + 2/11*a^3 + 5/11, 1/121*a^18 + 2/121*a^17 + 4/121*a^16 + 3/121*a^14 - 1/121*a^13 - 6/121*a^12 - 29/121*a^11 - 36/121*a^10 + 39/121*a^9 - 7/121*a^8 - 52/121*a^7 + 26/121*a^6 + 56/121*a^5 - 13/121*a^4 - 18/121*a^3 + 26/121*a^2 + 20/121*a - 47/121, 1/33972148677841*a^19 + 117763882196/33972148677841*a^18 + 413636325220/33972148677841*a^17 + 1222272052372/33972148677841*a^16 - 1145141287155/33972148677841*a^15 + 401611167424/33972148677841*a^14 + 1512310380232/33972148677841*a^13 - 2289135694117/33972148677841*a^12 + 9116397299993/33972148677841*a^11 + 550831379436/3088377152531*a^10 + 745377593097/33972148677841*a^9 + 633333929291/3088377152531*a^8 - 3156794737262/33972148677841*a^7 + 13164755328393/33972148677841*a^6 + 56376942606/3088377152531*a^5 - 958196935655/3088377152531*a^4 + 2860033257896/33972148677841*a^3 + 12325588528600/33972148677841*a^2 + 16534732396230/33972148677841*a - 16485588049519/33972148677841], 0, 1, [], 1, [ (7887087777342)/(33972148677841)*a^(19) - (23742169075395)/(33972148677841)*a^(18) + (17502036723136)/(33972148677841)*a^(17) + (105687996029426)/(33972148677841)*a^(16) - (390798412906527)/(33972148677841)*a^(15) + (115809511800072)/(33972148677841)*a^(14) + (713193674551398)/(33972148677841)*a^(13) - (1937192555563679)/(33972148677841)*a^(12) - (72611012187047)/(33972148677841)*a^(11) + (2819749320642877)/(33972148677841)*a^(10) - (1306514009884737)/(33972148677841)*a^(9) - (1313646863018470)/(33972148677841)*a^(8) + (99328941754875)/(3088377152531)*a^(7) - (499401326713761)/(33972148677841)*a^(6) - (34686834542619)/(33972148677841)*a^(5) + (532436345100947)/(33972148677841)*a^(4) - (31260845957416)/(33972148677841)*a^(3) + (953869028621)/(3088377152531)*a^(2) + (20318190662028)/(33972148677841)*a - (32896131180292)/(33972148677841) , (5023559847238)/(33972148677841)*a^(19) - (12814763501714)/(33972148677841)*a^(18) + (10683038619026)/(33972148677841)*a^(17) + (56560226256602)/(33972148677841)*a^(16) - (211012779029113)/(33972148677841)*a^(15) + (46207899271851)/(33972148677841)*a^(14) + (218992679502350)/(33972148677841)*a^(13) - (96689973512585)/(3088377152531)*a^(12) - (113656304506836)/(33972148677841)*a^(11) + (479361621166475)/(33972148677841)*a^(10) - (715816565416133)/(33972148677841)*a^(9) + (375052624422956)/(33972148677841)*a^(8) + (95941712441398)/(33972148677841)*a^(7) - (89734391006615)/(3088377152531)*a^(6) - (35790811842050)/(33972148677841)*a^(5) - (32657680500839)/(33972148677841)*a^(4) - (43161925200169)/(33972148677841)*a^(3) + (143309667130031)/(33972148677841)*a^(2) + (31538746612081)/(33972148677841)*a + (8583793255866)/(33972148677841) , (7240323236098)/(33972148677841)*a^(19) - (19222403320585)/(33972148677841)*a^(18) + (8104479961979)/(33972148677841)*a^(17) + (104645695157606)/(33972148677841)*a^(16) - (329569294049359)/(33972148677841)*a^(15) - (17406588853833)/(33972148677841)*a^(14) + (715656919094928)/(33972148677841)*a^(13) - (1623322907262300)/(33972148677841)*a^(12) - (639023217014436)/(33972148677841)*a^(11) + (2680121099589048)/(33972148677841)*a^(10) - (671379157565289)/(33972148677841)*a^(9) - (1414467125000757)/(33972148677841)*a^(8) + (883638705933455)/(33972148677841)*a^(7) - (661212219371699)/(33972148677841)*a^(6) - (79796779275244)/(33972148677841)*a^(5) + (711607622346914)/(33972148677841)*a^(4) - (113399380189883)/(33972148677841)*a^(3) + (81411457522852)/(33972148677841)*a^(2) + (43907277463986)/(33972148677841)*a - (51256834104876)/(33972148677841) , (1143870687911)/(33972148677841)*a^(19) + (5499019366268)/(33972148677841)*a^(18) - (20191893381013)/(33972148677841)*a^(17) + (27530321188659)/(33972148677841)*a^(16) + (62315475137659)/(33972148677841)*a^(15) - (369159885335088)/(33972148677841)*a^(14) + (94401991786442)/(33972148677841)*a^(13) + (411022900174791)/(33972148677841)*a^(12) - (1934709527251813)/(33972148677841)*a^(11) - (355584704571483)/(33972148677841)*a^(10) + (2129385109925096)/(33972148677841)*a^(9) - (1093758199751922)/(33972148677841)*a^(8) - (1132579043723098)/(33972148677841)*a^(7) + (733260503788140)/(33972148677841)*a^(6) - (753896611331625)/(33972148677841)*a^(5) - (402443067864337)/(33972148677841)*a^(4) + (294728813424413)/(33972148677841)*a^(3) - (79601434932171)/(33972148677841)*a^(2) - (41752107297101)/(33972148677841)*a + (56944100687612)/(33972148677841) , (13708459747614)/(33972148677841)*a^(19) - (28071475717649)/(33972148677841)*a^(18) + (1708732302495)/(33972148677841)*a^(17) + (16933763327948)/(3088377152531)*a^(16) - (491388203447401)/(33972148677841)*a^(15) - (303042267971239)/(33972148677841)*a^(14) + (976368487801512)/(33972148677841)*a^(13) - (2250937716248817)/(33972148677841)*a^(12) - (2495274307528094)/(33972148677841)*a^(11) + (2546499277724377)/(33972148677841)*a^(10) + (1164731562451488)/(33972148677841)*a^(9) - (1661293509646239)/(33972148677841)*a^(8) - (840829565483151)/(33972148677841)*a^(7) - (950692264338658)/(33972148677841)*a^(6) - (443288211770612)/(33972148677841)*a^(5) + (260596856249530)/(33972148677841)*a^(4) + (295449525632963)/(33972148677841)*a^(3) + (174843227129704)/(33972148677841)*a^(2) + (15484229535595)/(33972148677841)*a - (2380426760873)/(3088377152531) , (3930210462336)/(33972148677841)*a^(19) - (11173744239612)/(33972148677841)*a^(18) + (11269523314625)/(33972148677841)*a^(17) + (44947583903407)/(33972148677841)*a^(16) - (184880468815492)/(33972148677841)*a^(15) + (7727483134892)/(3088377152531)*a^(14) + (205081603905633)/(33972148677841)*a^(13) - (1001038385171817)/(33972148677841)*a^(12) + (95375992377058)/(33972148677841)*a^(11) + (661882113093056)/(33972148677841)*a^(10) - (1216513338824254)/(33972148677841)*a^(9) - (70178316466776)/(33972148677841)*a^(8) + (777086755469088)/(33972148677841)*a^(7) - (599426400367342)/(33972148677841)*a^(6) - (379730328046413)/(33972148677841)*a^(5) - (120157896018187)/(33972148677841)*a^(4) - (163017567373647)/(33972148677841)*a^(3) + (6389163984633)/(33972148677841)*a^(2) + (11243562986352)/(3088377152531)*a + (59499480849233)/(33972148677841) , (674004260629)/(33972148677841)*a^(19) - (3077693091764)/(33972148677841)*a^(18) + (2914200976358)/(33972148677841)*a^(17) + (11561222481887)/(33972148677841)*a^(16) - (51109057416440)/(33972148677841)*a^(15) + (40657602639084)/(33972148677841)*a^(14) + (123447666145924)/(33972148677841)*a^(13) - (276869602108386)/(33972148677841)*a^(12) + (132760755193794)/(33972148677841)*a^(11) + (5108890886919)/(280761559321)*a^(10) - (423124710111222)/(33972148677841)*a^(9) - (32056145925594)/(3088377152531)*a^(8) + (389248605713642)/(33972148677841)*a^(7) + (2793227257378)/(33972148677841)*a^(6) - (198048210128)/(280761559321)*a^(5) + (19301679687769)/(3088377152531)*a^(4) - (74027986206409)/(33972148677841)*a^(3) - (100667828648917)/(33972148677841)*a^(2) + (1321483839209)/(33972148677841)*a - (26896467726445)/(33972148677841) , (12715194846701)/(33972148677841)*a^(19) - (32192342315060)/(33972148677841)*a^(18) + (14157733937779)/(33972148677841)*a^(17) + (174482462084031)/(33972148677841)*a^(16) - (545799903356382)/(33972148677841)*a^(15) - (56333063446428)/(33972148677841)*a^(14) + (1072206875898875)/(33972148677841)*a^(13) - (2629695468874750)/(33972148677841)*a^(12) - (1291678010276450)/(33972148677841)*a^(11) + (3638188604672937)/(33972148677841)*a^(10) - (557727102303080)/(33972148677841)*a^(9) - (2193162919952776)/(33972148677841)*a^(8) + (417428219564090)/(33972148677841)*a^(7) - (669207381018069)/(33972148677841)*a^(6) - (185818185040318)/(33972148677841)*a^(5) + (403234924270542)/(33972148677841)*a^(4) - (10801365727555)/(33972148677841)*a^(3) + (10602102019103)/(33972148677841)*a^(2) - (65912974617014)/(33972148677841)*a - (23296280707608)/(33972148677841) , (8220160487398)/(33972148677841)*a^(19) - (20576164041306)/(33972148677841)*a^(18) + (17030784202246)/(33972148677841)*a^(17) + (93361307515616)/(33972148677841)*a^(16) - (340577921365874)/(33972148677841)*a^(15) + (61210681420079)/(33972148677841)*a^(14) + (359193108876995)/(33972148677841)*a^(13) - (1742850363407740)/(33972148677841)*a^(12) - (349196216834892)/(33972148677841)*a^(11) + (734518254487518)/(33972148677841)*a^(10) - (1252566596893471)/(33972148677841)*a^(9) + (569387845634)/(33972148677841)*a^(8) + (97476210857479)/(33972148677841)*a^(7) - (1144892764410858)/(33972148677841)*a^(6) - (338115558591626)/(33972148677841)*a^(5) - (469713344828328)/(33972148677841)*a^(4) - (212840465341180)/(33972148677841)*a^(3) - (24730121411354)/(33972148677841)*a^(2) - (13412986362258)/(33972148677841)*a + (9838911706090)/(33972148677841) , (2885834382345)/(33972148677841)*a^(19) - (1799134874271)/(33972148677841)*a^(18) - (12167558197340)/(33972148677841)*a^(17) + (53333203456118)/(33972148677841)*a^(16) - (59450364085326)/(33972148677841)*a^(15) - (265567973765542)/(33972148677841)*a^(14) + (334960303227771)/(33972148677841)*a^(13) - (288664864890261)/(33972148677841)*a^(12) - (1590363424329100)/(33972148677841)*a^(11) + (886690435743405)/(33972148677841)*a^(10) + (826615940332794)/(33972148677841)*a^(9) - (1647589990408012)/(33972148677841)*a^(8) + (252417980030999)/(33972148677841)*a^(7) + (286075962494679)/(33972148677841)*a^(6) - (1053195865644313)/(33972148677841)*a^(5) + (107116654351323)/(33972148677841)*a^(4) + (4667927554256)/(3088377152531)*a^(3) - (137926595309680)/(33972148677841)*a^(2) + (81365383790832)/(33972148677841)*a + (36030337921958)/(33972148677841) , (11053159271431)/(33972148677841)*a^(19) - (23194992208676)/(33972148677841)*a^(18) + (776762352813)/(33972148677841)*a^(17) + (157688633364799)/(33972148677841)*a^(16) - (413620068987647)/(33972148677841)*a^(15) - (244264259443873)/(33972148677841)*a^(14) + (915007596820619)/(33972148677841)*a^(13) - (179658469345770)/(3088377152531)*a^(12) - (2079138311574761)/(33972148677841)*a^(11) + (2738144310268628)/(33972148677841)*a^(10) + (421824643650899)/(33972148677841)*a^(9) - (2201335794617648)/(33972148677841)*a^(8) + (142573475533699)/(33972148677841)*a^(7) - (31983513899166)/(3088377152531)*a^(6) - (814345337600310)/(33972148677841)*a^(5) + (169302247665560)/(33972148677841)*a^(4) + (191853711723504)/(33972148677841)*a^(3) + (14646167684626)/(33972148677841)*a^(2) + (86685318107295)/(33972148677841)*a + (49775173052788)/(33972148677841) ], 90919.8145635, [[x^5 - x^4 - 4*x^3 + 3*x^2 + 3*x - 1, 1], [x^10 - x^8 - 4*x^6 + 3*x^4 + 3*x^2 - 1, 1], [x^10 + 2*x^8 - 5*x^6 - 13*x^4 - 7*x^2 - 1, 1], [x^10 - 4*x^8 + 2*x^6 + 5*x^4 - 2*x^2 - 1, 1]]]