/* 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 - 30*x^15 + 360*x^12 - 1672*x^9 + 6720*x^6 - 6048*x^3 + 21952, 18, 46, [0, 9], -520986863358984384396363313152, [2, 3, 7], [1, a, a^2, 1/2*a^3, 1/2*a^4, 1/2*a^5, 1/4*a^6, 1/4*a^7, 1/8*a^8 - 1/4*a^5 - 1/2*a^2, 1/24*a^9 - 1/3, 1/24*a^10 - 1/3*a, 1/48*a^11 - 1/6*a^2, 1/336*a^12 + 1/14*a^6 - 1/6*a^3, 1/672*a^13 - 5/56*a^7 + 1/6*a^4 - 1/2*a, 1/2016*a^14 - 1/2016*a^13 - 1/1008*a^12 - 1/144*a^11 - 1/72*a^10 + 1/72*a^9 - 5/168*a^8 + 5/168*a^7 + 5/84*a^6 - 1/9*a^5 + 1/9*a^4 + 2/9*a^3 - 1/9*a^2 + 5/18*a + 2/9, 1/5162976*a^15 + 1423/2581488*a^12 + 4513/322686*a^9 - 71437/645372*a^6 - 1403/23049*a^3 - 1480/23049, 1/10325952*a^16 + 1423/5162976*a^13 - 35729/2581488*a^10 - 71437/1290744*a^7 + 20243/92196*a^4 + 6203/46098*a, 1/72281664*a^17 - 8821/36140832*a^14 + 1/2016*a^13 + 1/1008*a^12 + 1870/376467*a^11 + 1/72*a^10 - 1/72*a^9 + 404909/9035208*a^8 - 5/168*a^7 - 5/84*a^6 + 61219/645372*a^5 - 1/9*a^4 - 2/9*a^3 - 6627/17927*a^2 - 5/18*a - 2/9], 0, 3, [3], 1, [ (3817)/(36140832)*a^(17) + (3127)/(10325952)*a^(16) - (977)/(5162976)*a^(15) - (131191)/(36140832)*a^(14) - (22417)/(2581488)*a^(13) + (7859)/(1290744)*a^(12) + (936323)/(18070416)*a^(11) + (247459)/(2581488)*a^(10) - (52099)/(645372)*a^(9) - (1526593)/(4517604)*a^(8) - (215261)/(645372)*a^(7) + (150607)/(322686)*a^(6) + (867379)/(645372)*a^(5) + (99503)/(92196)*a^(4) - (93565)/(46098)*a^(3) - (780293)/(322686)*a^(2) + (29335)/(23049)*a + (93752)/(23049) , (3817)/(36140832)*a^(17) + (3127)/(10325952)*a^(16) - (977)/(5162976)*a^(15) - (131191)/(36140832)*a^(14) - (22417)/(2581488)*a^(13) + (7859)/(1290744)*a^(12) + (936323)/(18070416)*a^(11) + (247459)/(2581488)*a^(10) - (52099)/(645372)*a^(9) - (1526593)/(4517604)*a^(8) - (215261)/(645372)*a^(7) + (150607)/(322686)*a^(6) + (867379)/(645372)*a^(5) + (99503)/(92196)*a^(4) - (93565)/(46098)*a^(3) - (780293)/(322686)*a^(2) + (29335)/(23049)*a + (70703)/(23049) , (547)/(9035208)*a^(17) - (307)/(2581488)*a^(15) - (28823)/(18070416)*a^(14) + (9823)/(2581488)*a^(12) + (32521)/(2258802)*a^(11) - (58823)/(1290744)*a^(9) - (40823)/(9035208)*a^(8) + (28829)/(161343)*a^(6) - (24671)/(645372)*a^(5) - (6737)/(23049)*a^(3) + (92485)/(322686)*a^(2) + (25175)/(23049) , (215)/(36140832)*a^(17) - (439)/(5162976)*a^(15) - (10433)/(36140832)*a^(14) + (5309)/(2581488)*a^(12) + (71677)/(18070416)*a^(11) - (19021)/(1290744)*a^(9) - (85789)/(9035208)*a^(8) - (31895)/(645372)*a^(6) - (25057)/(161343)*a^(5) + (1277)/(23049)*a^(3) - (10880)/(161343)*a^(2) + (4348)/(23049) , (1973)/(36140832)*a^(17) - (25)/(737568)*a^(15) - (47213)/(36140832)*a^(14) + (2257)/(1290744)*a^(12) + (188491)/(18070416)*a^(11) - (2843)/(92196)*a^(9) + (22483)/(4517604)*a^(8) + (147211)/(645372)*a^(6) + (75557)/(645372)*a^(5) - (8014)/(23049)*a^(3) + (114245)/(322686)*a^(2) + (20827)/(23049) , (1)/(44128)*a^(15) - (65)/(66192)*a^(12) + (125)/(11032)*a^(9) - (123)/(5516)*a^(6) + (53)/(1182)*a^(3) + (96)/(197) , (44801)/(72281664)*a^(17) + (83)/(61464)*a^(16) - (179)/(107562)*a^(15) - (388847)/(18070416)*a^(14) - (9977)/(286832)*a^(13) + (23869)/(430248)*a^(12) + (5313293)/(18070416)*a^(11) + (18451)/(61464)*a^(10) - (304219)/(430248)*a^(9) - (1755004)/(1129401)*a^(8) - (13007)/(215124)*a^(7) + (711797)/(215124)*a^(6) + (1741681)/(645372)*a^(5) + (3989)/(5122)*a^(4) - (33310)/(7683)*a^(3) - (692065)/(161343)*a^(2) + (30635)/(7683)*a + (84778)/(7683) , (44801)/(72281664)*a^(17) - (1619)/(1720992)*a^(16) + (2075)/(860496)*a^(15) - (388847)/(18070416)*a^(14) + (1507)/(53781)*a^(13) - (59119)/(860496)*a^(12) + (5313293)/(18070416)*a^(11) - (130667)/(430248)*a^(10) + (151813)/(215124)*a^(9) - (1755004)/(1129401)*a^(8) + (86665)/(107562)*a^(7) - (368413)/(215124)*a^(6) + (1741681)/(645372)*a^(5) + (4972)/(7683)*a^(4) + (66553)/(15366)*a^(3) - (692065)/(161343)*a^(2) + (14390)/(7683)*a - (62186)/(7683) ], 36855368.88515014, [[x^2 - x + 1, 1], [x^3 - 6*x - 2, 1], [x^6 - 3*x^5 + 12*x^4 - 19*x^3 + 30*x^2 - 21*x + 7, 1], [x^6 - 3*x^3 + 63, 1]]]