/* 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 - 3*x^17 + 2*x^16 - 5*x^15 + 15*x^14 - 6*x^13 + 2*x^12 - 29*x^11 + 17*x^10 + 11*x^9 + 17*x^8 - 29*x^7 + 2*x^6 - 6*x^5 + 15*x^4 - 5*x^3 + 2*x^2 - 3*x + 1, 18, 912, [2, 8], 4837319251866194741, [23, 59, 149, 251], [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, 1/649*a^16 - 153/649*a^15 + 4/11*a^14 - 206/649*a^13 + 16/59*a^12 - 240/649*a^11 + 131/649*a^10 + 31/649*a^9 - 221/649*a^8 + 31/649*a^7 + 131/649*a^6 - 240/649*a^5 + 16/59*a^4 - 206/649*a^3 + 4/11*a^2 - 153/649*a + 1/649, 1/649*a^17 + 191/649*a^15 + 207/649*a^14 - 190/649*a^13 + 79/649*a^12 - 245/649*a^11 - 45/649*a^10 - 21/649*a^9 - 34/649*a^8 - 318/649*a^7 - 316/649*a^6 - 200/649*a^5 + 113/649*a^4 - 130/649*a^3 + 260/649*a^2 - 4/59*a + 153/649], 0, 1, [], 0, [ (1143)/(59)*a^(17) - (2806)/(59)*a^(16) + (755)/(59)*a^(15) - (5299)/(59)*a^(14) + (14241)/(59)*a^(13) + (945)/(59)*a^(12) + (2766)/(59)*a^(11) - (31568)/(59)*a^(10) + (2055)/(59)*a^(9) + (13743)/(59)*a^(8) + (26850)/(59)*a^(7) - (18178)/(59)*a^(6) - (7690)/(59)*a^(5) - (11110)/(59)*a^(4) + (10841)/(59)*a^(3) + (351)/(59)*a^(2) + (2488)/(59)*a - (1977)/(59) , a , (7134)/(649)*a^(17) - (17297)/(649)*a^(16) + (4056)/(649)*a^(15) - (32718)/(649)*a^(14) + (8008)/(59)*a^(13) + (8878)/(649)*a^(12) + (16428)/(649)*a^(11) - (197968)/(649)*a^(10) + (7760)/(649)*a^(9) + (89110)/(649)*a^(8) + (172144)/(649)*a^(7) - (112892)/(649)*a^(6) - (4958)/(59)*a^(5) - (69172)/(649)*a^(4) + (69616)/(649)*a^(3) + (4010)/(649)*a^(2) + (14966)/(649)*a - (1170)/(59) , (13470)/(649)*a^(17) - (32492)/(649)*a^(16) + (7858)/(649)*a^(15) - (62944)/(649)*a^(14) + (165417)/(649)*a^(13) + (16391)/(649)*a^(12) + (37353)/(649)*a^(11) - (370224)/(649)*a^(10) + (10474)/(649)*a^(9) + (154223)/(649)*a^(8) + (323138)/(649)*a^(7) - (199931)/(649)*a^(6) - (93112)/(649)*a^(5) - (138285)/(649)*a^(4) + (123427)/(649)*a^(3) + (5860)/(649)*a^(2) + (30945)/(649)*a - (23071)/(649) , (6705)/(649)*a^(17) - (16760)/(649)*a^(16) + (4802)/(649)*a^(15) - (30484)/(649)*a^(14) + (84936)/(649)*a^(13) + (3301)/(649)*a^(12) + (12123)/(649)*a^(11) - (187494)/(649)*a^(10) + (19787)/(649)*a^(9) + (88859)/(649)*a^(8) + (155824)/(649)*a^(7) - (117906)/(649)*a^(6) - (47645)/(649)*a^(5) - (60130)/(649)*a^(4) + (67982)/(649)*a^(3) + (1679)/(649)*a^(2) + (13985)/(649)*a - (12421)/(649) , (8175)/(649)*a^(17) - (19983)/(649)*a^(16) + (5083)/(649)*a^(15) - (37714)/(649)*a^(14) + (101591)/(649)*a^(13) + (8430)/(649)*a^(12) + (19219)/(649)*a^(11) - (226749)/(649)*a^(10) + (11016)/(649)*a^(9) + (100215)/(649)*a^(8) + (195915)/(649)*a^(7) - (127191)/(649)*a^(6) - (58769)/(649)*a^(5) - (82252)/(649)*a^(4) + (76785)/(649)*a^(3) + (4863)/(649)*a^(2) + (18627)/(649)*a - (13990)/(649) , (4869)/(649)*a^(17) - (12306)/(649)*a^(16) + (3925)/(649)*a^(15) - (22670)/(649)*a^(14) + (62710)/(649)*a^(13) + (300)/(649)*a^(12) + (10831)/(649)*a^(11) - (137950)/(649)*a^(10) + (17293)/(649)*a^(9) + (60622)/(649)*a^(8) + (115171)/(649)*a^(7) - (86112)/(649)*a^(6) - (31611)/(649)*a^(5) - (47026)/(649)*a^(4) + (51767)/(649)*a^(3) + (449)/(649)*a^(2) + (11685)/(649)*a - (9805)/(649) , (2865)/(649)*a^(17) - (6697)/(649)*a^(16) + (116)/(59)*a^(15) - (1208)/(59)*a^(14) + (33717)/(649)*a^(13) + (5587)/(649)*a^(12) + 13*a^(11) - (75566)/(649)*a^(10) - (2331)/(649)*a^(9) + (30760)/(649)*a^(8) + (66397)/(649)*a^(7) - (37486)/(649)*a^(6) - (18398)/(649)*a^(5) - (29399)/(649)*a^(4) + (21950)/(649)*a^(3) + (1618)/(649)*a^(2) + (6206)/(649)*a - (4480)/(649) , (8663)/(649)*a^(17) - (1916)/(59)*a^(16) + (5271)/(649)*a^(15) - (40184)/(649)*a^(14) + (107474)/(649)*a^(13) + (9076)/(649)*a^(12) + (21795)/(649)*a^(11) - (240675)/(649)*a^(10) + (11666)/(649)*a^(9) + (104516)/(649)*a^(8) + (208687)/(649)*a^(7) - (136426)/(649)*a^(6) - (62789)/(649)*a^(5) - (85782)/(649)*a^(4) + (84041)/(649)*a^(3) + (3595)/(649)*a^(2) + (1728)/(59)*a - (15703)/(649) ], 67.155663406, [[x^3 - x^2 + 1, 1], [x^9 - 5*x^7 + 8*x^5 - 2*x^4 - 4*x^3 + x^2 - x + 1, 1]]]