/* 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 - 5*x^17 + 5*x^16 + 10*x^15 - 19*x^14 + 7*x^13 - 18*x^12 + 34*x^11 + 21*x^10 - 70*x^9 + 22*x^8 + 14*x^7 + 11*x^6 - 7*x^5 - 20*x^4 + 13*x^3 - x^2 + 4*x - 1, 18, 6, [6, 6], 110730297608000000000, [2, 5, 7], [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, 1/61668538231*a^17 + 17625470048/61668538231*a^16 - 22926492839/61668538231*a^15 - 16185322443/61668538231*a^14 + 22119042450/61668538231*a^13 + 8294293274/61668538231*a^12 + 10064486282/61668538231*a^11 + 15931590811/61668538231*a^10 + 2163650743/61668538231*a^9 - 28778891729/61668538231*a^8 + 6174380026/61668538231*a^7 - 28525476316/61668538231*a^6 + 14193776766/61668538231*a^5 - 27541996467/61668538231*a^4 - 5729903377/61668538231*a^3 + 25794475256/61668538231*a^2 - 10134542531/61668538231*a + 5843535590/61668538231], 0, 1, [], 0, [ (66333386)/(868570961)*a^(17) - (365100676)/(868570961)*a^(16) + (424782055)/(868570961)*a^(15) + (736147223)/(868570961)*a^(14) - (1438653166)/(868570961)*a^(13) + (217555210)/(868570961)*a^(12) - (1436873251)/(868570961)*a^(11) + (3300398656)/(868570961)*a^(10) + (1691614404)/(868570961)*a^(9) - (5027777039)/(868570961)*a^(8) + (89117094)/(868570961)*a^(7) + (601678269)/(868570961)*a^(6) + (2853428308)/(868570961)*a^(5) - (243960638)/(868570961)*a^(4) - (1102729541)/(868570961)*a^(3) - (390313163)/(868570961)*a^(2) - (197091379)/(868570961)*a + (618787545)/(868570961) , (12406323785)/(61668538231)*a^(17) - (78445147492)/(61668538231)*a^(16) + (146790642704)/(61668538231)*a^(15) + (36341879418)/(61668538231)*a^(14) - (419519635254)/(61668538231)*a^(13) + (440261663389)/(61668538231)*a^(12) - (296092333498)/(61668538231)*a^(11) + (623447330334)/(61668538231)*a^(10) - (326951187338)/(61668538231)*a^(9) - (1202447737694)/(61668538231)*a^(8) + (1563855559074)/(61668538231)*a^(7) - (83422204366)/(61668538231)*a^(6) - (516007960274)/(61668538231)*a^(5) - (132271637372)/(61668538231)*a^(4) + (64021991156)/(61668538231)*a^(3) + (373337388120)/(61668538231)*a^(2) - (238167704413)/(61668538231)*a + (8441030223)/(61668538231) , (14780290404)/(61668538231)*a^(17) - (66999898817)/(61668538231)*a^(16) + (42240891166)/(61668538231)*a^(15) + (170667555932)/(61668538231)*a^(14) - (205598109058)/(61668538231)*a^(13) - (6102098936)/(61668538231)*a^(12) - (242635557243)/(61668538231)*a^(11) + (410161850969)/(61668538231)*a^(10) + (464318368965)/(61668538231)*a^(9) - (841982199940)/(61668538231)*a^(8) - (70148382466)/(61668538231)*a^(7) + (230431652179)/(61668538231)*a^(6) + (325446898396)/(61668538231)*a^(5) - (143184517136)/(61668538231)*a^(4) - (287578631055)/(61668538231)*a^(3) + (201942524318)/(61668538231)*a^(2) - (74189178139)/(61668538231)*a + (40347204817)/(61668538231) , (740709126)/(61668538231)*a^(17) - (14126466159)/(61668538231)*a^(16) + (53966245793)/(61668538231)*a^(15) - (46023488259)/(61668538231)*a^(14) - (83053956562)/(61668538231)*a^(13) + (162619968092)/(61668538231)*a^(12) - (154833786292)/(61668538231)*a^(11) + (302775854306)/(61668538231)*a^(10) - (323887853668)/(61668538231)*a^(9) - (131534560128)/(61668538231)*a^(8) + (483334042283)/(61668538231)*a^(7) - (335809301200)/(61668538231)*a^(6) + (194068015663)/(61668538231)*a^(5) - (86321924081)/(61668538231)*a^(4) - (54775230431)/(61668538231)*a^(3) + (96053870198)/(61668538231)*a^(2) - (33302290670)/(61668538231)*a + (44210249457)/(61668538231) , (6240487172)/(61668538231)*a^(17) - (30744188929)/(61668538231)*a^(16) + (24979044753)/(61668538231)*a^(15) + (77707347607)/(61668538231)*a^(14) - (102299517473)/(61668538231)*a^(13) - (34915842456)/(61668538231)*a^(12) - (82023331144)/(61668538231)*a^(11) + (270526615488)/(61668538231)*a^(10) + (146824282986)/(61668538231)*a^(9) - (407821807615)/(61668538231)*a^(8) - (190417085065)/(61668538231)*a^(7) + (324919728549)/(61668538231)*a^(6) + (278589177914)/(61668538231)*a^(5) - (192502790489)/(61668538231)*a^(4) - (176517467011)/(61668538231)*a^(3) + (7444342587)/(61668538231)*a^(2) + (123519427610)/(61668538231)*a + (4799878054)/(61668538231) , (7011462952)/(61668538231)*a^(17) - (39650432351)/(61668538231)*a^(16) + (58681575584)/(61668538231)*a^(15) + (42877741323)/(61668538231)*a^(14) - (176614609796)/(61668538231)*a^(13) + (161966441339)/(61668538231)*a^(12) - (194329153994)/(61668538231)*a^(11) + (290985741997)/(61668538231)*a^(10) + (38924386723)/(61668538231)*a^(9) - (576139572073)/(61668538231)*a^(8) + (553657408217)/(61668538231)*a^(7) - (158828795966)/(61668538231)*a^(6) - (36470363902)/(61668538231)*a^(5) + (109176916512)/(61668538231)*a^(4) - (169353572797)/(61668538231)*a^(3) + (90852624251)/(61668538231)*a^(2) - (32878389106)/(61668538231)*a + (61236523529)/(61668538231) , (18602741141)/(61668538231)*a^(17) - (77672435685)/(61668538231)*a^(16) + (15995759737)/(61668538231)*a^(15) + (267052719186)/(61668538231)*a^(14) - (217571456434)/(61668538231)*a^(13) - (139781096199)/(61668538231)*a^(12) - (205797113448)/(61668538231)*a^(11) + (291268646143)/(61668538231)*a^(10) + (948581668025)/(61668538231)*a^(9) - (1052824783232)/(61668538231)*a^(8) - (476928632977)/(61668538231)*a^(7) + (568913678735)/(61668538231)*a^(6) + (244182504635)/(61668538231)*a^(5) + (47027562096)/(61668538231)*a^(4) - (400192468084)/(61668538231)*a^(3) + (43290970506)/(61668538231)*a^(2) + (75349484789)/(61668538231)*a + (35523674898)/(61668538231) , (299009394)/(61668538231)*a^(17) - (10501597581)/(61668538231)*a^(16) + (44341701502)/(61668538231)*a^(15) - (38908386767)/(61668538231)*a^(14) - (70245993911)/(61668538231)*a^(13) + (113395694151)/(61668538231)*a^(12) - (65094002633)/(61668538231)*a^(11) + (233229505819)/(61668538231)*a^(10) - (341713156827)/(61668538231)*a^(9) - (34883366253)/(61668538231)*a^(8) + (268412692607)/(61668538231)*a^(7) + (2887214456)/(61668538231)*a^(6) - (58015162437)/(61668538231)*a^(5) - (161444748474)/(61668538231)*a^(4) + (188299090613)/(61668538231)*a^(3) + (12802957753)/(61668538231)*a^(2) + (34263829145)/(61668538231)*a - (48643371682)/(61668538231) , (12406494438)/(61668538231)*a^(17) - (60388724942)/(61668538231)*a^(16) + (47410639939)/(61668538231)*a^(15) + (158006918860)/(61668538231)*a^(14) - (223119381990)/(61668538231)*a^(13) - (23346032449)/(61668538231)*a^(12) - (168436046471)/(61668538231)*a^(11) + (431363395127)/(61668538231)*a^(10) + (437023127616)/(61668538231)*a^(9) - (939267635198)/(61668538231)*a^(8) - (93364611051)/(61668538231)*a^(7) + (381218687581)/(61668538231)*a^(6) + (341093385940)/(61668538231)*a^(5) - (127284906427)/(61668538231)*a^(4) - (376516580906)/(61668538231)*a^(3) + (130990168584)/(61668538231)*a^(2) + (74243132394)/(61668538231)*a + (45056875223)/(61668538231) , (18887217211)/(61668538231)*a^(17) - (77660284872)/(61668538231)*a^(16) + (13461323525)/(61668538231)*a^(15) + (264417819943)/(61668538231)*a^(14) - (208964026585)/(61668538231)*a^(13) - (124538790893)/(61668538231)*a^(12) - (215124556707)/(61668538231)*a^(11) + (273655355406)/(61668538231)*a^(10) + (912258482445)/(61668538231)*a^(9) - (1053311789583)/(61668538231)*a^(8) - (398947384001)/(61668538231)*a^(7) + (544665223832)/(61668538231)*a^(6) + (293408081020)/(61668538231)*a^(5) - (24060277326)/(61668538231)*a^(4) - (458580893714)/(61668538231)*a^(3) + (118588067148)/(61668538231)*a^(2) + (56445502426)/(61668538231)*a + (78247664934)/(61668538231) , (4400975982)/(61668538231)*a^(17) - (20967218299)/(61668538231)*a^(16) + (18003785973)/(61668538231)*a^(15) + (43928512528)/(61668538231)*a^(14) - (70176438885)/(61668538231)*a^(13) + (32465164528)/(61668538231)*a^(12) - (116926920504)/(61668538231)*a^(11) + (140570104132)/(61668538231)*a^(10) + (162079043097)/(61668538231)*a^(9) - (294603025504)/(61668538231)*a^(8) + (108637166908)/(61668538231)*a^(7) - (169080744090)/(61668538231)*a^(6) + (172106351893)/(61668538231)*a^(5) + (102446979771)/(61668538231)*a^(4) - (141335777532)/(61668538231)*a^(3) + (51203659152)/(61668538231)*a^(2) - (133644374423)/(61668538231)*a + (95998652383)/(61668538231) ], 742.586512103, [[x^2 - x - 1, 1], [x^3 - x^2 + 5*x - 13, 1], [x^3 - x^2 - 2*x + 1, 1], [x^6 - 3*x^5 + 8*x^4 - 11*x^3 + 18*x^2 - 13*x + 1, 1], [x^6 - x^5 - 7*x^4 + 2*x^3 + 7*x^2 - 2*x - 1, 1], [x^9 - x^7 - 3*x^6 + 5*x^5 + 2*x^4 - 10*x^3 - 5*x^2 - x - 1, 1]]]