/* 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 + 37*x^18 - 46*x^17 - 81*x^16 + 358*x^15 - 434*x^14 - 60*x^13 + 775*x^12 - 1046*x^11 + 945*x^10 - 638*x^9 - 310*x^8 + 1564*x^7 - 1908*x^6 + 1168*x^5 - 339*x^4 - 2*x^3 + 34*x^2 - 10*x + 1, 20, 992, [10, 5], -46465044146768981515042816, [2, 83, 983], [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, 1/79466828994587*a^19 - 11893475983701/79466828994587*a^18 - 24752755017878/79466828994587*a^17 + 6110979710191/79466828994587*a^16 - 23358254679770/79466828994587*a^15 + 16153272280511/79466828994587*a^14 - 35980684878877/79466828994587*a^13 + 596728462442/79466828994587*a^12 - 21433346706705/79466828994587*a^11 - 5285486757478/79466828994587*a^10 - 39590458715731/79466828994587*a^9 - 30486361318449/79466828994587*a^8 + 37308626838636/79466828994587*a^7 + 26932184008665/79466828994587*a^6 + 36258139904194/79466828994587*a^5 - 971853980715/79466828994587*a^4 + 10393727901332/79466828994587*a^3 + 28173862227789/79466828994587*a^2 - 11858306134933/79466828994587*a + 14837668315245/79466828994587], 0, 1, [], 1, [ (251638753801584)/(79466828994587)*a^(19) - (2384655655902600)/(79466828994587)*a^(18) + (8058800484145831)/(79466828994587)*a^(17) - (7315249786307002)/(79466828994587)*a^(16) - (24386975537460324)/(79466828994587)*a^(15) + (77559365482049822)/(79466828994587)*a^(14) - (68185642323253028)/(79466828994587)*a^(13) - (52662994377754191)/(79466828994587)*a^(12) + (169405475856954262)/(79466828994587)*a^(11) - (173352444177440416)/(79466828994587)*a^(10) + (142599310908534167)/(79466828994587)*a^(9) - (81928796009690107)/(79466828994587)*a^(8) - (123615331377047191)/(79466828994587)*a^(7) + (331115755689963523)/(79466828994587)*a^(6) - (304201406631084430)/(79466828994587)*a^(5) + (126124756224191197)/(79466828994587)*a^(4) - (11960823869670483)/(79466828994587)*a^(3) - (8834200795332546)/(79466828994587)*a^(2) + (3639912134689383)/(79466828994587)*a - (456035224199458)/(79466828994587) , (31078693754638)/(79466828994587)*a^(19) - (316135203430779)/(79466828994587)*a^(18) + (1202528245615865)/(79466828994587)*a^(17) - (1620488493917888)/(79466828994587)*a^(16) - (2290547022007074)/(79466828994587)*a^(15) + (11571841353187252)/(79466828994587)*a^(14) - (15361934502572408)/(79466828994587)*a^(13) + (335021414496322)/(79466828994587)*a^(12) + (24607822547340400)/(79466828994587)*a^(11) - (36860461233148409)/(79466828994587)*a^(10) + (34854109001071873)/(79466828994587)*a^(9) - (24076891392436783)/(79466828994587)*a^(8) - (7271609181413251)/(79466828994587)*a^(7) + (50658739613045955)/(79466828994587)*a^(6) - (67672274416197842)/(79466828994587)*a^(5) + (46202595406157604)/(79466828994587)*a^(4) - (15383109411515977)/(79466828994587)*a^(3) + (11492208796582)/(79466828994587)*a^(2) + (1743031047537237)/(79466828994587)*a - (381125634211816)/(79466828994587) , (225716410369388)/(79466828994587)*a^(19) - (2209870914418894)/(79466828994587)*a^(18) + (7888667473009850)/(79466828994587)*a^(17) - (8730175861240821)/(79466828994587)*a^(16) - (20127650606823829)/(79466828994587)*a^(15) + (76671890660516560)/(79466828994587)*a^(14) - (82003588027306024)/(79466828994587)*a^(13) - (30976724882818269)/(79466828994587)*a^(12) + (169316336431171868)/(79466828994587)*a^(11) - (201211840476202985)/(79466828994587)*a^(10) + (170125029496650716)/(79466828994587)*a^(9) - (106523234890950063)/(79466828994587)*a^(8) - (93201447365312590)/(79466828994587)*a^(7) + (334377379530906061)/(79466828994587)*a^(6) - (361445621474764546)/(79466828994587)*a^(5) + (185908769092462897)/(79466828994587)*a^(4) - (33996772319655522)/(79466828994587)*a^(3) - (9423324877791740)/(79466828994587)*a^(2) + (5716619956435124)/(79466828994587)*a - (879438232226867)/(79466828994587) , (195445918163259)/(79466828994587)*a^(19) - (1861859802842732)/(79466828994587)*a^(18) + (6342880232268900)/(79466828994587)*a^(17) - (5929207895306034)/(79466828994587)*a^(16) - (18801837113161577)/(79466828994587)*a^(15) + (61118100585298197)/(79466828994587)*a^(14) - (55191806470152742)/(79466828994587)*a^(13) - (39338610685630418)/(79466828994587)*a^(12) + (133440159733655010)/(79466828994587)*a^(11) - (139373959434041960)/(79466828994587)*a^(10) + (115667843397481817)/(79466828994587)*a^(9) - (67653907333765156)/(79466828994587)*a^(8) - (94548653788817362)/(79466828994587)*a^(7) + (261359529610464664)/(79466828994587)*a^(6) - (245461097406559216)/(79466828994587)*a^(5) + (106146039955853872)/(79466828994587)*a^(4) - (12439536663050680)/(79466828994587)*a^(3) - (6782976843254347)/(79466828994587)*a^(2) + (3163982206798119)/(79466828994587)*a - (371228809548925)/(79466828994587) , (294949951739601)/(79466828994587)*a^(19) - (2833931318177446)/(79466828994587)*a^(18) + (9806272483078846)/(79466828994587)*a^(17) - (9740706909098777)/(79466828994587)*a^(16) - (27735450254791531)/(79466828994587)*a^(15) + (94959202154956251)/(79466828994587)*a^(14) - (91062883517486102)/(79466828994587)*a^(13) - (54010157206416691)/(79466828994587)*a^(12) + (209161457502206367)/(79466828994587)*a^(11) - (227207725907886096)/(79466828994587)*a^(10) + (187572375670611869)/(79466828994587)*a^(9) - (112311731920781091)/(79466828994587)*a^(8) - (136571670686876753)/(79466828994587)*a^(7) + (409970806924163381)/(79466828994587)*a^(6) - (403041885948770951)/(79466828994587)*a^(5) + (182607080640410141)/(79466828994587)*a^(4) - (23314088746384210)/(79466828994587)*a^(3) - (11545404022134505)/(79466828994587)*a^(2) + (5164894631388892)/(79466828994587)*a - (704742503061770)/(79466828994587) , (1347010656475071)/(79466828994587)*a^(19) - (13074831006974861)/(79466828994587)*a^(18) + (46002576005267933)/(79466828994587)*a^(17) - (48451284521131153)/(79466828994587)*a^(16) - (123419882632414625)/(79466828994587)*a^(15) + (446251786736862132)/(79466828994587)*a^(14) - (453643451854008622)/(79466828994587)*a^(13) - (215083968941541928)/(79466828994587)*a^(12) + (982807830847786360)/(79466828994587)*a^(11) - (1120823937005796894)/(79466828994587)*a^(10) + (941012940415935395)/(79466828994587)*a^(9) - (579591267149784750)/(79466828994587)*a^(8) - (590190027058726414)/(79466828994587)*a^(7) + (1936160147179631407)/(79466828994587)*a^(6) - (2001892292358021516)/(79466828994587)*a^(5) + (980022556121635106)/(79466828994587)*a^(4) - (161840595316457050)/(79466828994587)*a^(3) - (53546014442453920)/(79466828994587)*a^(2) + (30398052152499666)/(79466828994587)*a - (4370794105425489)/(79466828994587) , (272462910428665)/(79466828994587)*a^(19) - (2681635248603492)/(79466828994587)*a^(18) + (9623673443773258)/(79466828994587)*a^(17) - (10711889060751230)/(79466828994587)*a^(16) - (24664112677666480)/(79466828994587)*a^(15) + (94076571384728739)/(79466828994587)*a^(14) - (99837801179569733)/(79466828994587)*a^(13) - (40384073773541517)/(79466828994587)*a^(12) + (208917776532618222)/(79466828994587)*a^(11) - (242437266200606162)/(79466828994587)*a^(10) + (202210936552020662)/(79466828994587)*a^(9) - (128709047746882350)/(79466828994587)*a^(8) - (116068310119221542)/(79466828994587)*a^(7) + (411702314933095612)/(79466828994587)*a^(6) - (435644100581634736)/(79466828994587)*a^(5) + (216590797039644540)/(79466828994587)*a^(4) - (36932725568252028)/(79466828994587)*a^(3) - (10689965358836195)/(79466828994587)*a^(2) + (6116765402709129)/(79466828994587)*a - (838839332293440)/(79466828994587) , (146871818100893)/(79466828994587)*a^(19) - (1424413721586521)/(79466828994587)*a^(18) + (5027201470488567)/(79466828994587)*a^(17) - (5436716053464096)/(79466828994587)*a^(16) - (12958591499930395)/(79466828994587)*a^(15) + (48424514553435842)/(79466828994587)*a^(14) - (51453021727865466)/(79466828994587)*a^(13) - (19077729081738528)/(79466828994587)*a^(12) + (105574703203871617)/(79466828994587)*a^(11) - (128000111314834651)/(79466828994587)*a^(10) + (110967390407329439)/(79466828994587)*a^(9) - (68548135396647711)/(79466828994587)*a^(8) - (59191090516499718)/(79466828994587)*a^(7) + (209645647199860106)/(79466828994587)*a^(6) - (229319790802795192)/(79466828994587)*a^(5) + (123226650966070681)/(79466828994587)*a^(4) - (25813929633568048)/(79466828994587)*a^(3) - (5782627058656736)/(79466828994587)*a^(2) + (4241418282002935)/(79466828994587)*a - (601102323895707)/(79466828994587) , (148078133638708)/(79466828994587)*a^(19) - (1409517596590925)/(79466828994587)*a^(18) + (4779071012590279)/(79466828994587)*a^(17) - (4303990855634681)/(79466828994587)*a^(16) - (14776858754861136)/(79466828994587)*a^(15) + (46534687601520409)/(79466828994587)*a^(14) - (39609861789620636)/(79466828994587)*a^(13) - (34932428124678163)/(79466828994587)*a^(12) + (103586754298334750)/(79466828994587)*a^(11) - (99207614593051445)/(79466828994587)*a^(10) + (76604985263282430)/(79466828994587)*a^(9) - (43763596524133380)/(79466828994587)*a^(8) - (77380580170377035)/(79466828994587)*a^(7) + (200325159724303275)/(79466828994587)*a^(6) - (173722095145975759)/(79466828994587)*a^(5) + (59380429674339460)/(79466828994587)*a^(4) + (2499840887183838)/(79466828994587)*a^(3) - (5762776963477769)/(79466828994587)*a^(2) + (923476349385957)/(79466828994587)*a - (24173350171476)/(79466828994587) , (85930206205465)/(79466828994587)*a^(19) - (805974331778936)/(79466828994587)*a^(18) + (2668745070463046)/(79466828994587)*a^(17) - (2193337329884691)/(79466828994587)*a^(16) - (8686650142569725)/(79466828994587)*a^(15) + (25742078029750004)/(79466828994587)*a^(14) - (20266810115956754)/(79466828994587)*a^(13) - (21326663910726676)/(79466828994587)*a^(12) + (56669936808603363)/(79466828994587)*a^(11) - (52336929078207730)/(79466828994587)*a^(10) + (40737532302722403)/(79466828994587)*a^(9) - (21629158175043202)/(79466828994587)*a^(8) - (46354178504524961)/(79466828994587)*a^(7) + (109595376844583511)/(79466828994587)*a^(6) - (90430957021439256)/(79466828994587)*a^(5) + (28756614031040874)/(79466828994587)*a^(4) + (2755696006415255)/(79466828994587)*a^(3) - (3833779068152385)/(79466828994587)*a^(2) + (774611825403335)/(79466828994587)*a + (3965599903745)/(79466828994587) , (898337996811833)/(79466828994587)*a^(19) - (8723376735420942)/(79466828994587)*a^(18) + (30719896744978642)/(79466828994587)*a^(17) - (32480277586751515)/(79466828994587)*a^(16) - (82056955361990431)/(79466828994587)*a^(15) + (297918636559192181)/(79466828994587)*a^(14) - (304300877998121997)/(79466828994587)*a^(13) - (141141398939415167)/(79466828994587)*a^(12) + (655821970477166837)/(79466828994587)*a^(11) - (751779431072001635)/(79466828994587)*a^(10) + (632558388081010906)/(79466828994587)*a^(9) - (390095084208356086)/(79466828994587)*a^(8) - (390798707684583799)/(79466828994587)*a^(7) + (1292473729966616707)/(79466828994587)*a^(6) - (1343374989076490673)/(79466828994587)*a^(5) + (662856065062815058)/(79466828994587)*a^(4) - (111908096987221540)/(79466828994587)*a^(3) - (35345147193529949)/(79466828994587)*a^(2) + (20342488516336976)/(79466828994587)*a - (2904963079543769)/(79466828994587) , (240834964811238)/(79466828994587)*a^(19) - (2370478036402635)/(79466828994587)*a^(18) + (8529883066882532)/(79466828994587)*a^(17) - (9670888023113894)/(79466828994587)*a^(16) - (21204576941950035)/(79466828994587)*a^(15) + (82937691767148108)/(79466828994587)*a^(14) - (90796805973918496)/(79466828994587)*a^(13) - (30232637454610920)/(79466828994587)*a^(12) + (182793092737002002)/(79466828994587)*a^(11) - (221843807578815992)/(79466828994587)*a^(10) + (189578037290111923)/(79466828994587)*a^(9) - (120317180306655067)/(79466828994587)*a^(8) - (96477594531691388)/(79466828994587)*a^(7) + (362171492848714652)/(79466828994587)*a^(6) - (399556509389468234)/(79466828994587)*a^(5) + (212323699377851609)/(79466828994587)*a^(4) - (42627403995656427)/(79466828994587)*a^(3) - (9546066275773567)/(79466828994587)*a^(2) + (6767296866054014)/(79466828994587)*a - (1081685349236615)/(79466828994587) , (436360013078902)/(79466828994587)*a^(19) - (4199245557446129)/(79466828994587)*a^(18) + (14565404437049265)/(79466828994587)*a^(17) - (14597012188256406)/(79466828994587)*a^(16) - (40836571759626623)/(79466828994587)*a^(15) + (140919183663881973)/(79466828994587)*a^(14) - (136501774495467178)/(79466828994587)*a^(13) - (77639768946124504)/(79466828994587)*a^(12) + (309639704618609820)/(79466828994587)*a^(11) - (340561922476054636)/(79466828994587)*a^(10) + (283702257140335637)/(79466828994587)*a^(9) - (170428461676949535)/(79466828994587)*a^(8) - (200138231629000505)/(79466828994587)*a^(7) + (608020046147149531)/(79466828994587)*a^(6) - (604769838579590505)/(79466828994587)*a^(5) + (281172100608018905)/(79466828994587)*a^(4) - (39579112417710577)/(79466828994587)*a^(3) - (17360537352943878)/(79466828994587)*a^(2) + (8506830805092157)/(79466828994587)*a - (1091104694110454)/(79466828994587) , a ], 270387.319194, [[x^5 - 6*x^3 + 8*x - 1, 1], [x^10 - 10*x^8 + 34*x^6 - 44*x^4 + 16*x^2 - 1, 1]]]