/* 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 - 7*x^20 + 23*x^19 - 46*x^18 + 59*x^17 - 38*x^16 - 51*x^15 + 276*x^14 - 725*x^13 + 1392*x^12 - 2056*x^11 + 2397*x^10 - 2311*x^9 + 1987*x^8 - 1615*x^7 + 1208*x^6 - 783*x^5 + 436*x^4 - 201*x^3 + 66*x^2 - 12*x + 1, 21, 57, [3, 9], -167297208611536987435565056, [2, 17, 31], [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, 1/10469140576711793*a^20 - 4426045903477700/10469140576711793*a^19 - 986992814227005/10469140576711793*a^18 + 3061961504645862/10469140576711793*a^17 - 3153141725062210/10469140576711793*a^16 - 3090345112081209/10469140576711793*a^15 + 2109216742209358/10469140576711793*a^14 + 1819219261424086/10469140576711793*a^13 - 1022136428830169/10469140576711793*a^12 + 2815404300173073/10469140576711793*a^11 + 3418014755758907/10469140576711793*a^10 + 4142917979200094/10469140576711793*a^9 + 3889858510707035/10469140576711793*a^8 - 200976020094346/10469140576711793*a^7 - 1468273449753808/10469140576711793*a^6 - 556945127368886/10469140576711793*a^5 - 5110609551584005/10469140576711793*a^4 + 2619923154887991/10469140576711793*a^3 + 1217162681198280/10469140576711793*a^2 - 2253914339511004/10469140576711793*a + 4481276224071919/10469140576711793], 0, 1, [], 1, [ (14214110687511)/(197530954277581)*a^(20) - (174019812778914)/(197530954277581)*a^(19) + (773600421560737)/(197530954277581)*a^(18) - (1910461010165600)/(197530954277581)*a^(17) + (2954617230290121)/(197530954277581)*a^(16) - (2681653548194824)/(197530954277581)*a^(15) - (239559994210908)/(197530954277581)*a^(14) + (8375508473552202)/(197530954277581)*a^(13) - (26384209596901229)/(197530954277581)*a^(12) + (57164072848702274)/(197530954277581)*a^(11) - (93756375434617195)/(197530954277581)*a^(10) + (118767199507540918)/(197530954277581)*a^(9) - (120336916362482063)/(197530954277581)*a^(8) + (105129771303792270)/(197530954277581)*a^(7) - (86487320763299193)/(197530954277581)*a^(6) + (67065539804211428)/(197530954277581)*a^(5) - (44933477867987067)/(197530954277581)*a^(4) + (25565283884854926)/(197530954277581)*a^(3) - (12632828698650703)/(197530954277581)*a^(2) + (4185655437167556)/(197530954277581)*a - (574269762958658)/(197530954277581) , (15345903805727659)/(10469140576711793)*a^(20) - (101763552724782330)/(10469140576711793)*a^(19) + (313602075639805312)/(10469140576711793)*a^(18) - (579243593872674182)/(10469140576711793)*a^(17) + (660603228075946915)/(10469140576711793)*a^(16) - (286567337563043017)/(10469140576711793)*a^(15) - (942085575616079511)/(10469140576711793)*a^(14) + (3899760858631525659)/(10469140576711793)*a^(13) - (9575582646681318697)/(10469140576711793)*a^(12) + (17429806064940468525)/(10469140576711793)*a^(11) - (24194272925892423157)/(10469140576711793)*a^(10) + (26254474084659735824)/(10469140576711793)*a^(9) - (23673453704338776332)/(10469140576711793)*a^(8) + (19598080929106424173)/(10469140576711793)*a^(7) - (15686951886356681696)/(10469140576711793)*a^(6) + (11231236806554640059)/(10469140576711793)*a^(5) - (6668615187793890509)/(10469140576711793)*a^(4) + (3396979252944160628)/(10469140576711793)*a^(3) - (1361518504378726604)/(10469140576711793)*a^(2) + (284712515148244655)/(10469140576711793)*a - (1880277749845670)/(10469140576711793) , (83669028763494)/(197530954277581)*a^(20) - (509604161449513)/(197530954277581)*a^(19) + (1435479567086169)/(197530954277581)*a^(18) - (2386612360269813)/(197530954277581)*a^(17) + (2319086781900923)/(197530954277581)*a^(16) - (313545452772371)/(197530954277581)*a^(15) - (5313668395658009)/(197530954277581)*a^(14) + (18412220507916624)/(197530954277581)*a^(13) - (42307010855518719)/(197530954277581)*a^(12) + (72276006906701406)/(197530954277581)*a^(11) - (93037746474679641)/(197530954277581)*a^(10) + (93045296825546334)/(197530954277581)*a^(9) - (78812722209633462)/(197530954277581)*a^(8) + (64148313141039384)/(197530954277581)*a^(7) - (50689652286459395)/(197530954277581)*a^(6) + (33720475233262884)/(197530954277581)*a^(5) - (17901609735769595)/(197530954277581)*a^(4) + (8435304400501178)/(197530954277581)*a^(3) - (2512869530944299)/(197530954277581)*a^(2) + (14280416387257)/(197530954277581)*a + (59844318513709)/(197530954277581) , (5730418314592580)/(10469140576711793)*a^(20) - (38442126374126502)/(10469140576711793)*a^(19) + (122198827492429030)/(10469140576711793)*a^(18) - (237244696897626574)/(10469140576711793)*a^(17) + (293409872201020910)/(10469140576711793)*a^(16) - (169597239462253781)/(10469140576711793)*a^(15) - (310034554692030924)/(10469140576711793)*a^(14) + (1495070821711747245)/(10469140576711793)*a^(13) - (3816814073081754272)/(10469140576711793)*a^(12) + (7181344547941553162)/(10469140576711793)*a^(11) - (10391348648458586643)/(10469140576711793)*a^(10) + (11855414102307642834)/(10469140576711793)*a^(9) - (11189299125690822415)/(10469140576711793)*a^(8) + (9462041279583226843)/(10469140576711793)*a^(7) - (7622799905129029015)/(10469140576711793)*a^(6) + (5653514225573076168)/(10469140576711793)*a^(5) - (3589272869741658575)/(10469140576711793)*a^(4) + (1915646362566394173)/(10469140576711793)*a^(3) - (834928892392870794)/(10469140576711793)*a^(2) + (258501957852796218)/(10469140576711793)*a - (33098572078942489)/(10469140576711793) , a - 1 , (6181757264562558)/(10469140576711793)*a^(20) - (43658274923199220)/(10469140576711793)*a^(19) + (144074719036410221)/(10469140576711793)*a^(18) - (288440051335292865)/(10469140576711793)*a^(17) + (368751675429531917)/(10469140576711793)*a^(16) - (233538173596599799)/(10469140576711793)*a^(15) - (327263549361469825)/(10469140576711793)*a^(14) + (1735975324719122151)/(10469140576711793)*a^(13) - (4543509966050207869)/(10469140576711793)*a^(12) + (8709631177257340852)/(10469140576711793)*a^(11) - (12829356590618192502)/(10469140576711793)*a^(10) + (14870939394183697657)/(10469140576711793)*a^(9) - (14201519345051684282)/(10469140576711793)*a^(8) + (12082472840834990464)/(10469140576711793)*a^(7) - (9755713270854569439)/(10469140576711793)*a^(6) + (7271758456306605778)/(10469140576711793)*a^(5) - (4667997265121544578)/(10469140576711793)*a^(4) + (2546893752482206031)/(10469140576711793)*a^(3) - (1136397568415169810)/(10469140576711793)*a^(2) + (339931673328667655)/(10469140576711793)*a - (42000259213294165)/(10469140576711793) , (3042905259039055)/(10469140576711793)*a^(20) - (22400258512536534)/(10469140576711793)*a^(19) + (76542754253547612)/(10469140576711793)*a^(18) - (156410184251372354)/(10469140576711793)*a^(17) + (201183276943525719)/(10469140576711793)*a^(16) - (125880514372061759)/(10469140576711793)*a^(15) - (175766542167896718)/(10469140576711793)*a^(14) + (922767274094203142)/(10469140576711793)*a^(13) - (2425903271525225320)/(10469140576711793)*a^(12) + (4679513943970153615)/(10469140576711793)*a^(11) - (6907105593966114308)/(10469140576711793)*a^(10) + (7935787689839030703)/(10469140576711793)*a^(9) - (7421363462588660119)/(10469140576711793)*a^(8) + (6187650885784415862)/(10469140576711793)*a^(7) - (4984160433372152053)/(10469140576711793)*a^(6) + (3726218250396441949)/(10469140576711793)*a^(5) - (2325224453697697828)/(10469140576711793)*a^(4) + (1205761926537188252)/(10469140576711793)*a^(3) - (525562749298072899)/(10469140576711793)*a^(2) + (126054095761911039)/(10469140576711793)*a + (6349362661929202)/(10469140576711793) , (2880838920080260)/(10469140576711793)*a^(20) - (20572432826822435)/(10469140576711793)*a^(19) + (68923387682662703)/(10469140576711793)*a^(18) - (140636954937983422)/(10469140576711793)*a^(17) + (185142913043043184)/(10469140576711793)*a^(16) - (128037847130669354)/(10469140576711793)*a^(15) - (136119783316663180)/(10469140576711793)*a^(14) + (815967536230649080)/(10469140576711793)*a^(13) - (2188908098369181609)/(10469140576711793)*a^(12) + (4262242576433283879)/(10469140576711793)*a^(11) - (6389623084907634542)/(10469140576711793)*a^(10) + (7575915613725523757)/(10469140576711793)*a^(9) - (7426269037138642678)/(10469140576711793)*a^(8) + (6462372521329777405)/(10469140576711793)*a^(7) - (5275906977245964118)/(10469140576711793)*a^(6) + (3964182051601921477)/(10469140576711793)*a^(5) - (2611164108518504262)/(10469140576711793)*a^(4) + (1493087939194910004)/(10469140576711793)*a^(3) - (701721790920035331)/(10469140576711793)*a^(2) + (234120632637606924)/(10469140576711793)*a - (44641481141189853)/(10469140576711793) , (3292296289302688)/(10469140576711793)*a^(20) - (23851077142234115)/(10469140576711793)*a^(19) + (79180074914778629)/(10469140576711793)*a^(18) - (155713357723046692)/(10469140576711793)*a^(17) + (188989975186499035)/(10469140576711793)*a^(16) - (98420795871198549)/(10469140576711793)*a^(15) - (215432712023136895)/(10469140576711793)*a^(14) + (972574792406036032)/(10469140576711793)*a^(13) - (2467510908406811393)/(10469140576711793)*a^(12) + (4633806699514655397)/(10469140576711793)*a^(11) - (6624547568341354666)/(10469140576711793)*a^(10) + (7314521604427055403)/(10469140576711793)*a^(9) - (6557954120823653765)/(10469140576711793)*a^(8) + (5306543323875042986)/(10469140576711793)*a^(7) - (4221987974765934051)/(10469140576711793)*a^(6) + (3075451683864904751)/(10469140576711793)*a^(5) - (1802503732632680626)/(10469140576711793)*a^(4) + (863950842028116489)/(10469140576711793)*a^(3) - (331601413206027638)/(10469140576711793)*a^(2) + (46802227093988965)/(10469140576711793)*a + (17937443881344663)/(10469140576711793) , (944663849116539)/(10469140576711793)*a^(20) - (5108669015403523)/(10469140576711793)*a^(19) + (12372074813412282)/(10469140576711793)*a^(18) - (16084980307029525)/(10469140576711793)*a^(17) + (8056707628860004)/(10469140576711793)*a^(16) + (13849353271442775)/(10469140576711793)*a^(15) - (61576467465430543)/(10469140576711793)*a^(14) + (166576424214996602)/(10469140576711793)*a^(13) - (338595074714371640)/(10469140576711793)*a^(12) + (497026503059353153)/(10469140576711793)*a^(11) - (505223000001883810)/(10469140576711793)*a^(10) + (351692944644898936)/(10469140576711793)*a^(9) - (200559621940182142)/(10469140576711793)*a^(8) + (152429528001982950)/(10469140576711793)*a^(7) - (101988976341911207)/(10469140576711793)*a^(6) - (8278861356366686)/(10469140576711793)*a^(5) + (57741060635667388)/(10469140576711793)*a^(4) - (30050130072019285)/(10469140576711793)*a^(3) + (10573481604901760)/(10469140576711793)*a^(2) - (20960275174448291)/(10469140576711793)*a + (5135668566166274)/(10469140576711793) , (15271770046685839)/(10469140576711793)*a^(20) - (109042139799859805)/(10469140576711793)*a^(19) + (361428339369839943)/(10469140576711793)*a^(18) - (723244355308046100)/(10469140576711793)*a^(17) + (919531203747021848)/(10469140576711793)*a^(16) - (571747487670354499)/(10469140576711793)*a^(15) - (834225779306420630)/(10469140576711793)*a^(14) + (4354945437823729999)/(10469140576711793)*a^(13) - (11377384949600719894)/(10469140576711793)*a^(12) + (21784481039584203092)/(10469140576711793)*a^(11) - (31997158943445635677)/(10469140576711793)*a^(10) + (36895655195218703562)/(10469140576711793)*a^(9) - (35024245321150442338)/(10469140576711793)*a^(8) + (29711866877998109271)/(10469140576711793)*a^(7) - (24026977414988004373)/(10469140576711793)*a^(6) + (17868630812357532619)/(10469140576711793)*a^(5) - (11353025390551558882)/(10469140576711793)*a^(4) + (6144891423722076347)/(10469140576711793)*a^(3) - (2740346404279128962)/(10469140576711793)*a^(2) + (807011887334535981)/(10469140576711793)*a - (101465032666541621)/(10469140576711793) ], 48967.484032, [[x^3 + x - 1, 1], [x^7 - x^6 + 4*x^5 - 2*x^3 + 2*x^2 - 3*x + 1, 1]]]