/* 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 + 16*x^16 - 35*x^15 + 59*x^14 - 73*x^13 + 59*x^12 - 5*x^11 - 79*x^10 + 163*x^9 - 224*x^8 + 229*x^7 - 192*x^6 + 127*x^5 - 59*x^4 + 24*x^3 - 4*x - 1, 18, 838, [2, 8], 254891514450553129009, [7, 97, 1399], [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, 1/8612553139*a^17 + 631857562/8612553139*a^16 + 3426518164/8612553139*a^15 - 3203053914/8612553139*a^14 - 12917791/296984591*a^13 - 2000258920/8612553139*a^12 + 3004105579/8612553139*a^11 - 2169053281/8612553139*a^10 - 7712333/296984591*a^9 + 1417698542/8612553139*a^8 + 3912680889/8612553139*a^7 - 1649932402/8612553139*a^6 - 334580478/8612553139*a^5 + 2026585257/8612553139*a^4 + 406796564/8612553139*a^3 - 1377289051/8612553139*a^2 - 3270739425/8612553139*a + 2210145592/8612553139], 0, 1, [], 0, [ (2032544064)/(8612553139)*a^(17) - (7868245202)/(8612553139)*a^(16) + (23061949809)/(8612553139)*a^(15) - (43779250763)/(8612553139)*a^(14) + (2397363882)/(296984591)*a^(13) - (76619989985)/(8612553139)*a^(12) + (58856805421)/(8612553139)*a^(11) + (241016035)/(8612553139)*a^(10) - (2741642974)/(296984591)*a^(9) + (167729162183)/(8612553139)*a^(8) - (251518953279)/(8612553139)*a^(7) + (265131047054)/(8612553139)*a^(6) - (258558223537)/(8612553139)*a^(5) + (180428912920)/(8612553139)*a^(4) - (108608975835)/(8612553139)*a^(3) + (66395694127)/(8612553139)*a^(2) - (4057851507)/(8612553139)*a + (1819654986)/(8612553139) , (723919132)/(8612553139)*a^(17) - (4563309330)/(8612553139)*a^(16) + (15662062021)/(8612553139)*a^(15) - (37681843805)/(8612553139)*a^(14) + (2279977766)/(296984591)*a^(13) - (87374760978)/(8612553139)*a^(12) + (73082305907)/(8612553139)*a^(11) - (11523639592)/(8612553139)*a^(10) - (3286453247)/(296984591)*a^(9) + (196664549667)/(8612553139)*a^(8) - (263651112688)/(8612553139)*a^(7) + (261306083366)/(8612553139)*a^(6) - (203151073564)/(8612553139)*a^(5) + (127667073370)/(8612553139)*a^(4) - (42663137648)/(8612553139)*a^(3) + (13782802278)/(8612553139)*a^(2) + (7766584103)/(8612553139)*a - (4368537603)/(8612553139) , (1984900030)/(8612553139)*a^(17) - (10306247961)/(8612553139)*a^(16) + (33330617956)/(8612553139)*a^(15) - (74758015556)/(8612553139)*a^(14) + (4429690654)/(296984591)*a^(13) - (165488236544)/(8612553139)*a^(12) + (142364789486)/(8612553139)*a^(11) - (33071385778)/(8612553139)*a^(10) - (5319924449)/(296984591)*a^(9) + (349204326186)/(8612553139)*a^(8) - (506200881989)/(8612553139)*a^(7) + (533800211080)/(8612553139)*a^(6) - (460881077246)/(8612553139)*a^(5) + (317253753120)/(8612553139)*a^(4) - (158403182415)/(8612553139)*a^(3) + (70587370826)/(8612553139)*a^(2) - (5295954418)/(8612553139)*a + (2798979149)/(8612553139) , (4368537603)/(8612553139)*a^(17) - (22566607147)/(8612553139)*a^(16) + (74459910978)/(8612553139)*a^(15) - (168560878126)/(8612553139)*a^(14) + (10187088358)/(296984591)*a^(13) - (385022600233)/(8612553139)*a^(12) + (345118479555)/(8612553139)*a^(11) - (94924993922)/(8612553139)*a^(10) - (11503132105)/(296984591)*a^(9) + (807378773452)/(8612553139)*a^(8) - (1175216972739)/(8612553139)*a^(7) + (1264046223775)/(8612553139)*a^(6) - (1100065303142)/(8612553139)*a^(5) + (757955349145)/(8612553139)*a^(4) - (385410791947)/(8612553139)*a^(3) + (147508040120)/(8612553139)*a^(2) - (13782802278)/(8612553139)*a - (25240734515)/(8612553139) , (2803618405)/(8612553139)*a^(17) - (14385625605)/(8612553139)*a^(16) + (47273405381)/(8612553139)*a^(15) - (105651148342)/(8612553139)*a^(14) + (6261641701)/(296984591)*a^(13) - (228131209437)/(8612553139)*a^(12) + (187695288007)/(8612553139)*a^(11) - (16367291765)/(8612553139)*a^(10) - (8736756813)/(296984591)*a^(9) + (521406656753)/(8612553139)*a^(8) - (700450675624)/(8612553139)*a^(7) + (694063329339)/(8612553139)*a^(6) - (561907754517)/(8612553139)*a^(5) + (348296216181)/(8612553139)*a^(4) - (158856749805)/(8612553139)*a^(3) + (60190639734)/(8612553139)*a^(2) - (1605909689)/(8612553139)*a - (2056353742)/(8612553139) , (1493661585)/(8612553139)*a^(17) - (7567802543)/(8612553139)*a^(16) + (24457034949)/(8612553139)*a^(15) - (55041225761)/(8612553139)*a^(14) + (3313903271)/(296984591)*a^(13) - (127132835533)/(8612553139)*a^(12) + (117435639181)/(8612553139)*a^(11) - (43857803329)/(8612553139)*a^(10) - (3184149479)/(296984591)*a^(9) + (249377171436)/(8612553139)*a^(8) - (388826570619)/(8612553139)*a^(7) + (438257731190)/(8612553139)*a^(6) - (401538249411)/(8612553139)*a^(5) + (293715917154)/(8612553139)*a^(4) - (153555395072)/(8612553139)*a^(3) + (66319549397)/(8612553139)*a^(2) - (3630661574)/(8612553139)*a - (15937064634)/(8612553139) , (835805931)/(8612553139)*a^(17) - (5921004908)/(8612553139)*a^(16) + (20212206380)/(8612553139)*a^(15) - (49448938920)/(8612553139)*a^(14) + (3043056774)/(296984591)*a^(13) - (122004896878)/(8612553139)*a^(12) + (113108677170)/(8612553139)*a^(11) - (41995522561)/(8612553139)*a^(10) - (3208511808)/(296984591)*a^(9) + (242425811086)/(8612553139)*a^(8) - (360311194339)/(8612553139)*a^(7) + (402375477085)/(8612553139)*a^(6) - (337032872229)/(8612553139)*a^(5) + (247312549672)/(8612553139)*a^(4) - (127762181235)/(8612553139)*a^(3) + (45173113284)/(8612553139)*a^(2) - (15064326211)/(8612553139)*a - (12123075905)/(8612553139) , (193392198)/(8612553139)*a^(17) - (2269298659)/(8612553139)*a^(16) + (8971489289)/(8612553139)*a^(15) - (25106611047)/(8612553139)*a^(14) + (1716392372)/(296984591)*a^(13) - (77385049862)/(8612553139)*a^(12) + (86326969587)/(8612553139)*a^(11) - (58422472787)/(8612553139)*a^(10) - (600056783)/(296984591)*a^(9) + (121951209181)/(8612553139)*a^(8) - (218792933762)/(8612553139)*a^(7) + (282946879793)/(8612553139)*a^(6) - (270559464853)/(8612553139)*a^(5) + (221188052101)/(8612553139)*a^(4) - (128060153523)/(8612553139)*a^(3) + (54892032719)/(8612553139)*a^(2) - (25675473102)/(8612553139)*a - (10102415132)/(8612553139) , (2890222961)/(8612553139)*a^(17) - (13291147074)/(8612553139)*a^(16) + (41710270508)/(8612553139)*a^(15) - (87716943199)/(8612553139)*a^(14) + (4989021586)/(296984591)*a^(13) - (170440526946)/(8612553139)*a^(12) + (129048376220)/(8612553139)*a^(11) + (8227994602)/(8612553139)*a^(10) - (7033125959)/(296984591)*a^(9) + (391286694677)/(8612553139)*a^(8) - (522524195191)/(8612553139)*a^(7) + (520191080835)/(8612553139)*a^(6) - (449331425932)/(8612553139)*a^(5) + (295977697009)/(8612553139)*a^(4) - (146794066231)/(8612553139)*a^(3) + (73693491322)/(8612553139)*a^(2) - (7219685899)/(8612553139)*a - (3934824827)/(8612553139) ], 661.987726773, [[x^3 - x^2 - 2*x + 1, 1], [x^9 - 2*x^8 + 3*x^7 - x^6 - 2*x^5 + 5*x^4 - 4*x^3 + 2*x - 1, 1]]]