/* 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 - 6*x^19 + 8*x^18 + 12*x^17 - 60*x^16 + 176*x^15 - 418*x^14 + 626*x^13 - 563*x^12 + 414*x^11 - 164*x^10 - 688*x^9 + 1168*x^8 - 212*x^7 - 462*x^6 + 62*x^5 + 40*x^4 + 110*x^3 - 26*x^2 - 20*x + 1, 20, 804, [8, 6], 17546689939912502804480000000, [2, 5, 3803], [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, 1/9277948252534903273*a^19 - 3785171149659656205/9277948252534903273*a^18 + 48001240652698228/104246609579043857*a^17 - 1478826687327954134/9277948252534903273*a^16 - 4328135533512390578/9277948252534903273*a^15 + 1378585927867821187/9277948252534903273*a^14 + 1115749962531700856/9277948252534903273*a^13 + 3447828097979063863/9277948252534903273*a^12 + 920117435181507488/9277948252534903273*a^11 + 1711663347193282839/9277948252534903273*a^10 - 1402808489995316747/9277948252534903273*a^9 + 152022501024391134/9277948252534903273*a^8 + 2652341001222957125/9277948252534903273*a^7 - 4357829117258442500/9277948252534903273*a^6 - 496611562977233040/9277948252534903273*a^5 + 2587135668556561977/9277948252534903273*a^4 + 1560334295955797489/9277948252534903273*a^3 - 432117390634641214/9277948252534903273*a^2 + 2768115399286177858/9277948252534903273*a + 4550262317770049610/9277948252534903273], 0, 1, [], 1, [ (105768841821120876156)/(9277948252534903273)*a^(19) - (508232969458254664962)/(9277948252534903273)*a^(18) + (2686925746055200650)/(104246609579043857)*a^(17) + (1553202098211443392576)/(9277948252534903273)*a^(16) - (4487118161550740676392)/(9277948252534903273)*a^(15) + (13256006878934790117204)/(9277948252534903273)*a^(14) - (28390113557933563938596)/(9277948252534903273)*a^(13) + (32344152528314655538192)/(9277948252534903273)*a^(12) - (21039054399687069641012)/(9277948252534903273)*a^(11) + (18878982005810383229954)/(9277948252534903273)*a^(10) + (4972842388435160055610)/(9277948252534903273)*a^(9) - (66634882846829244597756)/(9277948252534903273)*a^(8) + (43800233899970772634978)/(9277948252534903273)*a^(7) + (29758447436593072280750)/(9277948252534903273)*a^(6) - (12898360707715127185040)/(9277948252534903273)*a^(5) - (9044542986913682780639)/(9277948252534903273)*a^(4) - (6679298563418320672430)/(9277948252534903273)*a^(3) + (3698595746607704152796)/(9277948252534903273)*a^(2) + (1693799823462835555276)/(9277948252534903273)*a - (70300045430520497750)/(9277948252534903273) , (55290170374255842312)/(9277948252534903273)*a^(19) - (264203314682184614733)/(9277948252534903273)*a^(18) + (1312666373538695384)/(104246609579043857)*a^(17) + (821158640684609661862)/(9277948252534903273)*a^(16) - (2329947635466429648402)/(9277948252534903273)*a^(15) + (6855072539297650168708)/(9277948252534903273)*a^(14) - (14603320251629121175513)/(9277948252534903273)*a^(13) + (16343663990403351794823)/(9277948252534903273)*a^(12) - (10150544816859041377441)/(9277948252534903273)*a^(11) + (8992596923980247821812)/(9277948252534903273)*a^(10) + (3463372250095301687763)/(9277948252534903273)*a^(9) - (35379252563840726190980)/(9277948252534903273)*a^(8) + (22357900120413906122179)/(9277948252534903273)*a^(7) + (16535550350786833868058)/(9277948252534903273)*a^(6) - (6935289484701305044348)/(9277948252534903273)*a^(5) - (4854448458103714912241)/(9277948252534903273)*a^(4) - (3579674717903840824433)/(9277948252534903273)*a^(3) + (1963801647818383175721)/(9277948252534903273)*a^(2) + (928006174829437126289)/(9277948252534903273)*a - (44025912218016833945)/(9277948252534903273) , (73591304482101804608)/(9277948252534903273)*a^(19) - (353132433860293589836)/(9277948252534903273)*a^(18) + (1842989311978613500)/(104246609579043857)*a^(17) + (1081810421114032219905)/(9277948252534903273)*a^(16) - (3114430304073630700750)/(9277948252534903273)*a^(15) + (9202274227167840498218)/(9277948252534903273)*a^(14) - (19693062069942091717324)/(9277948252534903273)*a^(13) + (22373843624357880635551)/(9277948252534903273)*a^(12) - (14495539710821877259190)/(9277948252534903273)*a^(11) + (13055433133607545203188)/(9277948252534903273)*a^(10) + (3531093821605258257964)/(9277948252534903273)*a^(9) - (46332436462812112870582)/(9277948252534903273)*a^(8) + (30145528261512896732548)/(9277948252534903273)*a^(7) + (20907879226303786144294)/(9277948252534903273)*a^(6) - (8772351013055546433686)/(9277948252534903273)*a^(5) - (6347573728979210126266)/(9277948252534903273)*a^(4) - (4701557944046998142772)/(9277948252534903273)*a^(3) + (2519648111631437472716)/(9277948252534903273)*a^(2) + (1164892843238565836372)/(9277948252534903273)*a - (50869024613275182134)/(9277948252534903273) , (57066497950999363793)/(9277948252534903273)*a^(19) - (272442976049009945913)/(9277948252534903273)*a^(18) + (1336329975297866633)/(104246609579043857)*a^(17) + (850883159817926565465)/(9277948252534903273)*a^(16) - (2405350131430416809350)/(9277948252534903273)*a^(15) + (7061334662863137912713)/(9277948252534903273)*a^(14) - (15016211014770888227730)/(9277948252534903273)*a^(13) + (16716559746440637373874)/(9277948252534903273)*a^(12) - (10186985369322895205725)/(9277948252534903273)*a^(11) + (8876770753162757699761)/(9277948252534903273)*a^(10) + (4033933737742233396102)/(9277948252534903273)*a^(9) - (36930976424153835827342)/(9277948252534903273)*a^(8) + (23253241899542734165661)/(9277948252534903273)*a^(7) + (17226710472362272617020)/(9277948252534903273)*a^(6) - (7442755439703707379511)/(9277948252534903273)*a^(5) - (4838940955275164739326)/(9277948252534903273)*a^(4) - (3724113702177043756041)/(9277948252534903273)*a^(3) + (2023569818114219727474)/(9277948252534903273)*a^(2) + (937155304259909172498)/(9277948252534903273)*a - (60284437368130876046)/(9277948252534903273) , (27217591511715209697)/(9277948252534903273)*a^(19) - (133770416139919510767)/(9277948252534903273)*a^(18) + (864436499940783109)/(104246609579043857)*a^(17) + (386625779284210962348)/(9277948252534903273)*a^(16) - (1188927438528477702573)/(9277948252534903273)*a^(15) + (3544616948683874647037)/(9277948252534903273)*a^(14) - (7737357244031754861365)/(9277948252534903273)*a^(13) + (9320223958783044752939)/(9277948252534903273)*a^(12) - (6819013241476976648251)/(9277948252534903273)*a^(11) + (6283695974931659001275)/(9277948252534903273)*a^(10) - (248039170925261586244)/(9277948252534903273)*a^(9) - (16245271458911842084637)/(9277948252534903273)*a^(8) + (12303566118042576962485)/(9277948252534903273)*a^(7) + (6412541827887957012686)/(9277948252534903273)*a^(6) - (3394091145679703490790)/(9277948252534903273)*a^(5) - (2425177112287745514170)/(9277948252534903273)*a^(4) - (1432965499791379310122)/(9277948252534903273)*a^(3) + (1018479572293849788449)/(9277948252534903273)*a^(2) + (412593099457472443089)/(9277948252534903273)*a - (33358543239885884803)/(9277948252534903273) , (184936139060820326336)/(9277948252534903273)*a^(19) - (890570001749624192505)/(9277948252534903273)*a^(18) + (4810670256016267005)/(104246609579043857)*a^(17) + (2708089722680643038166)/(9277948252534903273)*a^(16) - (7872114170191898118642)/(9277948252534903273)*a^(15) + (23265359880199036192175)/(9277948252534903273)*a^(14) - (49910874553003619026987)/(9277948252534903273)*a^(13) + (57169231351712706917367)/(9277948252534903273)*a^(12) - (37591757921692538940898)/(9277948252534903273)*a^(11) + (33710089333166410310504)/(9277948252534903273)*a^(10) + (7981109933678155176059)/(9277948252534903273)*a^(9) - (116198759834657614491333)/(9277948252534903273)*a^(8) + (77583917991280165249556)/(9277948252534903273)*a^(7) + (51143264211666079966391)/(9277948252534903273)*a^(6) - (22880704509239894416040)/(9277948252534903273)*a^(5) - (15734204131507497396036)/(9277948252534903273)*a^(4) - (11472022367562513296138)/(9277948252534903273)*a^(3) + (6550782256981180022757)/(9277948252534903273)*a^(2) + (2889123450189044544668)/(9277948252534903273)*a - (153584382524617510038)/(9277948252534903273) , (139879535375598315331)/(9277948252534903273)*a^(19) - (669002427409745319700)/(9277948252534903273)*a^(18) + (3369020141171508051)/(104246609579043857)*a^(17) + (2069166548988121815928)/(9277948252534903273)*a^(16) - (5898404585864183800711)/(9277948252534903273)*a^(15) + (17383078573155031306490)/(9277948252534903273)*a^(14) - (37080030705290762280578)/(9277948252534903273)*a^(13) + (41702209546151253407095)/(9277948252534903273)*a^(12) - (26300768716007735492714)/(9277948252534903273)*a^(11) + (23479529412296661614613)/(9277948252534903273)*a^(10) + (8029036293943774907386)/(9277948252534903273)*a^(9) - (88857615443929606017315)/(9277948252534903273)*a^(8) + (56566041601250596535045)/(9277948252534903273)*a^(7) + (41174974961786088665551)/(9277948252534903273)*a^(6) - (17217900951753590397868)/(9277948252534903273)*a^(5) - (12179806785401511734181)/(9277948252534903273)*a^(4) - (8999469235564863250495)/(9277948252534903273)*a^(3) + (4845276555396897159443)/(9277948252534903273)*a^(2) + (2340536823713045124017)/(9277948252534903273)*a - (101651801966723314048)/(9277948252534903273) , (105768841821120876156)/(9277948252534903273)*a^(19) - (508232969458254664962)/(9277948252534903273)*a^(18) + (2686925746055200650)/(104246609579043857)*a^(17) + (1553202098211443392576)/(9277948252534903273)*a^(16) - (4487118161550740676392)/(9277948252534903273)*a^(15) + (13256006878934790117204)/(9277948252534903273)*a^(14) - (28390113557933563938596)/(9277948252534903273)*a^(13) + (32344152528314655538192)/(9277948252534903273)*a^(12) - (21039054399687069641012)/(9277948252534903273)*a^(11) + (18878982005810383229954)/(9277948252534903273)*a^(10) + (4972842388435160055610)/(9277948252534903273)*a^(9) - (66634882846829244597756)/(9277948252534903273)*a^(8) + (43800233899970772634978)/(9277948252534903273)*a^(7) + (29758447436593072280750)/(9277948252534903273)*a^(6) - (12898360707715127185040)/(9277948252534903273)*a^(5) - (9044542986913682780639)/(9277948252534903273)*a^(4) - (6679298563418320672430)/(9277948252534903273)*a^(3) + (3698595746607704152796)/(9277948252534903273)*a^(2) + (1703077771715370458549)/(9277948252534903273)*a - (79577993683055401023)/(9277948252534903273) , (120096919626849212801)/(9277948252534903273)*a^(19) - (576847745840699341635)/(9277948252534903273)*a^(18) + (3021566553811443651)/(104246609579043857)*a^(17) + (1772071291684035902159)/(9277948252534903273)*a^(16) - (5099026754996885073460)/(9277948252534903273)*a^(15) + (15024373361734956839210)/(9277948252534903273)*a^(14) - (32136613845851242667147)/(9277948252534903273)*a^(13) + (36439483256448591055271)/(9277948252534903273)*a^(12) - (23296293611935962584447)/(9277948252534903273)*a^(11) + (20646609332198670872836)/(9277948252534903273)*a^(10) + (6427962789118405403226)/(9277948252534903273)*a^(9) - (76410703022670399765172)/(9277948252534903273)*a^(8) + (50032233879581946021988)/(9277948252534903273)*a^(7) + (34475733123185303217601)/(9277948252534903273)*a^(6) - (15358143464861412760849)/(9277948252534903273)*a^(5) - (10301887434259574726374)/(9277948252534903273)*a^(4) - (7582632808891033448837)/(9277948252534903273)*a^(3) + (4319760886029881037603)/(9277948252534903273)*a^(2) + (1962502705528360771049)/(9277948252534903273)*a - (106876528087537894806)/(9277948252534903273) , (69890449772510834063)/(9277948252534903273)*a^(19) - (334098167246213997514)/(9277948252534903273)*a^(18) + (1702699036212902853)/(104246609579043857)*a^(17) + (1021260446265705207084)/(9277948252534903273)*a^(16) - (2933302204934904595500)/(9277948252534903273)*a^(15) + (8705239970529048852379)/(9277948252534903273)*a^(14) - (18619082507664858792390)/(9277948252534903273)*a^(13) + (21161516421475777011876)/(9277948252534903273)*a^(12) - (13944144117082596849400)/(9277948252534903273)*a^(11) + (12928047274533574003349)/(9277948252534903273)*a^(10) + (2753777435073217440470)/(9277948252534903273)*a^(9) - (43027763661588027570406)/(9277948252534903273)*a^(8) + (27360582087770878318399)/(9277948252534903273)*a^(7) + (19831111374939714341338)/(9277948252534903273)*a^(6) - (7429413223105155515121)/(9277948252534903273)*a^(5) - (6281778785648300392421)/(9277948252534903273)*a^(4) - (4398801900919064451881)/(9277948252534903273)*a^(3) + (2233145596449267167665)/(9277948252534903273)*a^(2) + (1137772437240799857999)/(9277948252534903273)*a - (15368071910294029888)/(9277948252534903273) , (139417413441259154343)/(9277948252534903273)*a^(19) - (667870466431595706635)/(9277948252534903273)*a^(18) + (3415910817635565780)/(104246609579043857)*a^(17) + (2060812162967009517775)/(9277948252534903273)*a^(16) - (5898704063056219363721)/(9277948252534903273)*a^(15) + (17373541243644971215628)/(9277948252534903273)*a^(14) - (37083775490658893623811)/(9277948252534903273)*a^(13) + (41818827758975133323700)/(9277948252534903273)*a^(12) - (26427749786252726410898)/(9277948252534903273)*a^(11) + (23363557148607453927853)/(9277948252534903273)*a^(10) + (8161427533093460192102)/(9277948252534903273)*a^(9) - (89000304476774385727094)/(9277948252534903273)*a^(8) + (57492723732138597676702)/(9277948252534903273)*a^(7) + (40358393508261170677469)/(9277948252534903273)*a^(6) - (17649551835205949535912)/(9277948252534903273)*a^(5) - (11815901748344256667841)/(9277948252534903273)*a^(4) - (8917173641627976667677)/(9277948252534903273)*a^(3) + (4976456220874275937313)/(9277948252534903273)*a^(2) + (2239643682322443391496)/(9277948252534903273)*a - (122660675142008180319)/(9277948252534903273) , (66343269661571972212)/(9277948252534903273)*a^(19) - (315546149555949227301)/(9277948252534903273)*a^(18) + (1510436122926543579)/(104246609579043857)*a^(17) + (982469940066420931118)/(9277948252534903273)*a^(16) - (2770424685577130536291)/(9277948252534903273)*a^(15) + (8176685581438513932113)/(9277948252534903273)*a^(14) - (17392620242938335148690)/(9277948252534903273)*a^(13) + (19389956120318636568901)/(9277948252534903273)*a^(12) - (12110871373722444369614)/(9277948252534903273)*a^(11) + (11016742063748124351955)/(9277948252534903273)*a^(10) + (3899202761429302344876)/(9277948252534903273)*a^(9) - (41846237586794025574288)/(9277948252534903273)*a^(8) + (25679878533885956252031)/(9277948252534903273)*a^(7) + (20015053923610897995393)/(9277948252534903273)*a^(6) - (7426367530787013574188)/(9277948252534903273)*a^(5) - (6046069796404317870422)/(9277948252534903273)*a^(4) - (4476064391512111496232)/(9277948252534903273)*a^(3) + (2187832244218930553427)/(9277948252534903273)*a^(2) + (1175445025835624599577)/(9277948252534903273)*a - (4531126108966227965)/(9277948252534903273) , (63258751385088604318)/(9277948252534903273)*a^(19) - (296186683050899041514)/(9277948252534903273)*a^(18) + (1181677815574305997)/(104246609579043857)*a^(17) + (953024097378288735754)/(9277948252534903273)*a^(16) - (2591337407450357976103)/(9277948252534903273)*a^(15) + (7605663122972368171684)/(9277948252534903273)*a^(14) - (15935168728547267041434)/(9277948252534903273)*a^(13) + (17019084619008866315756)/(9277948252534903273)*a^(12) - (9499763324109403103044)/(9277948252534903273)*a^(11) + (8299733981629036002289)/(9277948252534903273)*a^(10) + (6212334204332064744896)/(9277948252534903273)*a^(9) - (41304459829536355302602)/(9277948252534903273)*a^(8) + (23149420571854560447009)/(9277948252534903273)*a^(7) + (20387730030218289594753)/(9277948252534903273)*a^(6) - (7306206205628787586425)/(9277948252534903273)*a^(5) - (5009164218298890218611)/(9277948252534903273)*a^(4) - (4422783975137974326048)/(9277948252534903273)*a^(3) + (1989254219819779608494)/(9277948252534903273)*a^(2) + (1023830132119433616449)/(9277948252534903273)*a - (53695119480292348896)/(9277948252534903273) ], 3349178.82019, [[x^5 - 2*x^3 - x^2 - 2*x - 1, 1], [x^10 + 4*x^8 + x^6 - 11*x^4 + 7*x^2 - 1, 1]]]