/* 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^18 - 2*x^17 + 17*x^15 - 17*x^14 + 51*x^13 + 119*x^12 - 476*x^11 + 493*x^10 + 1632*x^9 - 3638*x^8 - 3502*x^7 + 6936*x^6 + 1972*x^5 - 3451*x^4 + 3264*x^3 + 17*x^2 - 750*x + 225, 18, 13, [2, 8], 4768875488962616064464333777, [7, 17], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, 1/3*a^8 + 1/3*a^7 + 1/3*a^6 + 1/3*a^5 + 1/3*a^4 + 1/3*a^3 + 1/3*a^2 + 1/3*a, 1/15*a^9 + 1/15*a^8 - 2/15*a^7 + 7/15*a^6 + 1/15*a^5 - 1/3*a^4 + 7/15*a^3 + 4/15*a^2 + 1/5*a, 1/15*a^10 + 2/15*a^8 - 1/15*a^7 - 1/15*a^6 - 1/15*a^5 + 2/15*a^4 + 2/15*a^3 + 4/15*a^2 + 2/15*a, 1/15*a^11 + 2/15*a^8 - 7/15*a^7 + 1/3*a^6 + 1/3*a^5 + 2/15*a^4 - 1/3*a^3 - 1/15*a^2 - 1/15*a, 1/195*a^12 + 4/195*a^11 + 1/39*a^10 + 4/195*a^9 - 4/65*a^8 + 11/65*a^7 - 17/65*a^6 + 18/65*a^5 + 38/195*a^4 + 8/195*a^3 - 62/195*a^2 - 73/195*a - 3/13, 1/195*a^13 + 2/195*a^11 - 1/65*a^10 - 2/195*a^9 + 29/195*a^8 - 79/195*a^7 - 28/195*a^6 - 7/39*a^5 + 38/195*a^4 - 27/65*a^3 - 7/195*a^2 + 1/15*a - 1/13, 1/975*a^14 - 1/975*a^12 - 1/65*a^11 - 2/65*a^10 - 3/325*a^9 - 32/195*a^8 + 68/975*a^7 + 79/975*a^6 - 397/975*a^5 - 4/25*a^4 + 476/975*a^3 - 217/975*a^2 + 7/195*a - 6/13, 1/4875*a^15 + 2/4875*a^14 - 1/4875*a^13 + 1/1625*a^12 + 4/975*a^11 + 32/1625*a^10 + 97/4875*a^9 - 167/4875*a^8 - 102/325*a^7 + 41/4875*a^6 + 34/75*a^5 - 896/4875*a^4 + 283/975*a^3 + 376/4875*a^2 - 28/65*a - 11/65, 1/102375*a^16 - 1/14625*a^15 + 2/34125*a^14 - 188/102375*a^13 - 1/14625*a^12 + 397/34125*a^11 - 467/102375*a^10 + 562/20475*a^9 + 103/1125*a^8 + 199/2625*a^7 + 341/102375*a^6 + 21514/102375*a^5 + 1249/4875*a^4 - 25009/102375*a^3 + 18841/102375*a^2 - 179/1365*a + 6/35, 1/313358232607875*a^17 + 1404856129/313358232607875*a^16 + 25409243719/313358232607875*a^15 + 155108268703/313358232607875*a^14 + 7330690499/4820895886275*a^13 - 209454488186/313358232607875*a^12 + 41219692024/3443497061625*a^11 - 2913813250412/313358232607875*a^10 - 739245317434/24104479431375*a^9 - 1195848720691/313358232607875*a^8 + 61169396576297/313358232607875*a^7 - 3361738081379/8953092360225*a^6 + 186254065181/777563852625*a^5 + 4692836456396/12534329304315*a^4 + 11845255351616/44765461801125*a^3 + 6362826393968/44765461801125*a^2 + 39793089398/134777734455*a + 351822543028/1392703256035], 0, 1, [], 0, [ (267491154221)/(313358232607875)*a^(17) - (554320101008)/(313358232607875)*a^(16) + (3024157772)/(8034826477125)*a^(15) + (4410102035996)/(313358232607875)*a^(14) - (4945784171834)/(313358232607875)*a^(13) + (5221212374426)/(104452744202625)*a^(12) + (28878812742842)/(313358232607875)*a^(11) - (124888144421648)/(313358232607875)*a^(10) + (154619313560258)/(313358232607875)*a^(9) + (127173194556781)/(104452744202625)*a^(8) - (189554544285202)/(62671646521575)*a^(7) - (728864082056752)/(313358232607875)*a^(6) + (3339024985532)/(673888672275)*a^(5) + (298299557428762)/(313358232607875)*a^(4) - (96387412811423)/(62671646521575)*a^(3) + (166702789556143)/(104452744202625)*a^(2) + (869702132)/(10367518035)*a + (105352959437)/(1392703256035) , (26852169814)/(104452744202625)*a^(17) - (748335121)/(1606965295425)*a^(16) + (89054677)/(278540651207)*a^(15) + (16642535171)/(4178109768105)*a^(14) - (418639133749)/(104452744202625)*a^(13) + (637637760023)/(34817581400875)*a^(12) + (702411857246)/(20890548840525)*a^(11) - (9779770502759)/(104452744202625)*a^(10) + (16619469548726)/(104452744202625)*a^(9) + (11674219472038)/(34817581400875)*a^(8) - (86821478330378)/(104452744202625)*a^(7) - (44792413425889)/(104452744202625)*a^(6) + (4212733718693)/(3369443361375)*a^(5) - (186239610105071)/(104452744202625)*a^(4) - (47853906475451)/(34817581400875)*a^(3) + (29870585912208)/(6963516280175)*a^(2) + (377435310754)/(134777734455)*a - (235949549816)/(278540651207) , (1866495444)/(2678275492375)*a^(17) - (3525882872)/(1790618472045)*a^(16) + (542908405316)/(313358232607875)*a^(15) + (983651001859)/(104452744202625)*a^(14) - (58769033324)/(3443497061625)*a^(13) + (15238950907631)/(313358232607875)*a^(12) + (209746370668)/(6963516280175)*a^(11) - (100905850593602)/(313358232607875)*a^(10) + (24436000630532)/(44765461801125)*a^(9) + (199130168637121)/(313358232607875)*a^(8) - (90526719702429)/(34817581400875)*a^(7) - (327450673007722)/(313358232607875)*a^(6) + (7429546108663)/(1444047154875)*a^(5) - (3938191553056)/(104452744202625)*a^(4) - (980451923850331)/(313358232607875)*a^(3) + (431440007053681)/(313358232607875)*a^(2) - (1540681117)/(10367518035)*a - (19766344656)/(198957608005) , (6514546781)/(2984364120075)*a^(17) - (1126296696743)/(313358232607875)*a^(16) - (73310786482)/(44765461801125)*a^(15) + (1307923556048)/(34817581400875)*a^(14) - (7572254365271)/(313358232607875)*a^(13) + (333735797726)/(3443497061625)*a^(12) + (31753914513379)/(104452744202625)*a^(11) - (297537006932699)/(313358232607875)*a^(10) + (45288040582741)/(62671646521575)*a^(9) + (13869045314626)/(3443497061625)*a^(8) - (702547048953271)/(104452744202625)*a^(7) - (3282448997955433)/(313358232607875)*a^(6) + (132963479145013)/(10108330084125)*a^(5) + (154912548914183)/(14921820600375)*a^(4) - (2366549555916058)/(313358232607875)*a^(3) + (833075483657707)/(313358232607875)*a^(2) + (14369499002)/(3455839345)*a - (1436948785784)/(1392703256035) , (22300096991)/(313358232607875)*a^(17) - (4103331968)/(6963516280175)*a^(16) + (45324708523)/(313358232607875)*a^(15) + (64260550988)/(44765461801125)*a^(14) - (820747973018)/(104452744202625)*a^(13) + (4546157537)/(62671646521575)*a^(12) - (1354891300244)/(62671646521575)*a^(11) - (1033442734417)/(8034826477125)*a^(10) + (2012243428718)/(20890548840525)*a^(9) + (279373679219)/(12534329304315)*a^(8) - (317709990577037)/(313358232607875)*a^(7) + (3691771922719)/(104452744202625)*a^(6) + (25075891523057)/(10108330084125)*a^(5) + (512052411364348)/(313358232607875)*a^(4) + (50683877719487)/(34817581400875)*a^(3) + (181603293265988)/(313358232607875)*a^(2) - (195260071264)/(134777734455)*a + (663259592139)/(1392703256035) , (198283711414)/(44765461801125)*a^(17) - (210911305973)/(24104479431375)*a^(16) + (46614206689)/(44765461801125)*a^(15) + (22523873661376)/(313358232607875)*a^(14) - (22277236822361)/(313358232607875)*a^(13) + (10949302075843)/(44765461801125)*a^(12) + (154317872711356)/(313358232607875)*a^(11) - (24989153950283)/(12534329304315)*a^(10) + (690004447393007)/(313358232607875)*a^(9) + (295597386960308)/(44765461801125)*a^(8) - (184601280432067)/(12534329304315)*a^(7) - (4677126341719147)/(313358232607875)*a^(6) + (50441064043459)/(2021666016825)*a^(5) + (446925952820636)/(44765461801125)*a^(4) - (546668165400368)/(62671646521575)*a^(3) + (3835362135627206)/(313358232607875)*a^(2) + (3656734240)/(26955546891)*a - (1336014646732)/(1392703256035) , (102611790773)/(44765461801125)*a^(17) - (1247721140242)/(313358232607875)*a^(16) - (91490586712)/(44765461801125)*a^(15) + (12699506910422)/(313358232607875)*a^(14) - (10021285421752)/(313358232607875)*a^(13) + (4467451244768)/(44765461801125)*a^(12) + (96227579762948)/(313358232607875)*a^(11) - (5326238868821)/(4820895886275)*a^(10) + (249255361292383)/(313358232607875)*a^(9) + (183998804962573)/(44765461801125)*a^(8) - (2493901373706044)/(313358232607875)*a^(7) - (3311619364724756)/(313358232607875)*a^(6) + (140061372032509)/(10108330084125)*a^(5) + (434246666277283)/(44765461801125)*a^(4) - (1510498143777524)/(313358232607875)*a^(3) + (67748038027324)/(12534329304315)*a^(2) + (54787259903)/(26955546891)*a - (443067397299)/(278540651207) , (29865326492)/(10108330084125)*a^(17) - (50487910931)/(10108330084125)*a^(16) - (86919057)/(44925911485)*a^(15) + (101940060766)/(2021666016825)*a^(14) - (353403781727)/(10108330084125)*a^(13) + (151091910442)/(1123147787125)*a^(12) + (4028475801524)/(10108330084125)*a^(11) - (13213858696307)/(10108330084125)*a^(10) + (10348092343874)/(10108330084125)*a^(9) + (5938044268022)/(1123147787125)*a^(8) - (18762389384314)/(2021666016825)*a^(7) - (5526023087077)/(404333203365)*a^(6) + (2325541038199)/(134777734455)*a^(5) + (25466579290382)/(2021666016825)*a^(4) - (15069981369218)/(2021666016825)*a^(3) + (17143023523844)/(3369443361375)*a^(2) + (17074976701)/(10367518035)*a - (73342427014)/(44925911485) , (34321461198)/(34817581400875)*a^(17) - (27853879909)/(24104479431375)*a^(16) - (60855917056)/(62671646521575)*a^(15) + (327834164102)/(20890548840525)*a^(14) - (1015314300817)/(313358232607875)*a^(13) + (14716490583094)/(313358232607875)*a^(12) + (758858950391)/(4973940200125)*a^(11) - (106521876312907)/(313358232607875)*a^(10) + (2268943877611)/(12534329304315)*a^(9) + (545068490935229)/(313358232607875)*a^(8) - (71719524278144)/(34817581400875)*a^(7) - (238785809927894)/(44765461801125)*a^(6) + (22400248237166)/(10108330084125)*a^(5) + (460437465330616)/(104452744202625)*a^(4) + (38985447426997)/(44765461801125)*a^(3) + (146646828663527)/(44765461801125)*a^(2) + (302754219412)/(134777734455)*a + (1198067645357)/(1392703256035) ], 10997947.525, [[x^2 - x - 4, 1], [x^3 - x^2 + 6*x + 5, 1], [x^6 - x^5 - x^4 + 21*x^3 + 25*x^2 - 13*x - 19, 1], [x^9 - 4*x^8 + 9*x^7 + 2*x^6 - 41*x^5 + 107*x^4 - 123*x^3 + 89*x^2 - 42*x + 9, 1]]]