/* 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^12 - 4*x^11 - 62*x^10 + 232*x^9 + 1679*x^8 - 5668*x^7 - 20398*x^6 + 62556*x^5 + 37242*x^4 - 194132*x^3 + 1081520*x^2 - 893952*x + 689057, 12, 1, [0, 6], 1646753279454715263844352, [2, 61], [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, 1/3*a^9 + 1/3*a^7 - 1/3*a^6 + 1/3*a^4 + 1/3*a^3 - 1/3*a + 1/3, 1/7402519347*a^10 + 270407626/7402519347*a^9 + 946349771/7402519347*a^8 + 1239941788/7402519347*a^7 - 3591468503/7402519347*a^6 - 1163401546/7402519347*a^5 + 1188125090/2467506449*a^4 - 1045951274/2467506449*a^3 - 1215930049/7402519347*a^2 + 686887660/2467506449*a - 1156431118/2467506449, 1/34800150355099759011*a^11 - 1033590347/34800150355099759011*a^10 + 512756286996612517/11600050118366586337*a^9 - 316533308908792502/11600050118366586337*a^8 - 16532980991588881886/34800150355099759011*a^7 + 14334203044331423726/34800150355099759011*a^6 + 1787729661432798104/34800150355099759011*a^5 + 1049728550011498131/11600050118366586337*a^4 - 16528212369958869227/34800150355099759011*a^3 + 214902788422729255/11600050118366586337*a^2 - 5277209372413293115/34800150355099759011*a - 244723927931796293/1513050015439119957], 1, 349, [349], 1, [ (244)/(2467506449)*a^(11) + (2610)/(2467506449)*a^(10) - (28098)/(2467506449)*a^(9) - (249441)/(2467506449)*a^(8) + (1336440)/(2467506449)*a^(7) + (9823418)/(2467506449)*a^(6) - (31758568)/(2467506449)*a^(5) - (176535587)/(2467506449)*a^(4) + (347726016)/(2467506449)*a^(3) + (1185700715)/(2467506449)*a^(2) - (1198490624)/(2467506449)*a + (2204425512)/(2467506449) , (16508984833484)/(34800150355099759011)*a^(11) - (598771322495905)/(34800150355099759011)*a^(10) + (1295957387419016)/(34800150355099759011)*a^(9) + (36740554020729457)/(34800150355099759011)*a^(8) - (103127149881529432)/(34800150355099759011)*a^(7) - (1013209344537978881)/(34800150355099759011)*a^(6) + (2672898769396940498)/(34800150355099759011)*a^(5) + (4698776968849219761)/(11600050118366586337)*a^(4) - (10013592745027042244)/(11600050118366586337)*a^(3) - (25167521165395201450)/(11600050118366586337)*a^(2) + (78741257749271679476)/(34800150355099759011)*a + (95891036709219358)/(1513050015439119957) , (269512402444)/(504350005146373319)*a^(11) + (29967457173779)/(1513050015439119957)*a^(10) - (172359495798496)/(1513050015439119957)*a^(9) - (625492432260913)/(504350005146373319)*a^(8) + (8051129158342456)/(1513050015439119957)*a^(7) + (17376869611142281)/(504350005146373319)*a^(6) - (54699415617713970)/(504350005146373319)*a^(5) - (689472680266285687)/(1513050015439119957)*a^(4) + (1434824838242334436)/(1513050015439119957)*a^(3) + (2371204939187717494)/(1513050015439119957)*a^(2) - (899360306204134052)/(504350005146373319)*a + (28914378777503490076)/(1513050015439119957) , (78721309638092)/(34800150355099759011)*a^(11) + (320594186562322)/(34800150355099759011)*a^(10) - (6109472081579096)/(34800150355099759011)*a^(9) - (23013889553713424)/(34800150355099759011)*a^(8) + (65408996877657948)/(11600050118366586337)*a^(7) + (706870761438134533)/(34800150355099759011)*a^(6) - (3056150856000201604)/(34800150355099759011)*a^(5) - (10252529190822177226)/(34800150355099759011)*a^(4) + (19540416194657869552)/(34800150355099759011)*a^(3) + (44085915689911438897)/(34800150355099759011)*a^(2) - (48375157558314234682)/(34800150355099759011)*a + (670172960115780681)/(504350005146373319) , (33485773538444)/(34800150355099759011)*a^(11) + (468054866428042)/(34800150355099759011)*a^(10) - (3551129261362088)/(34800150355099759011)*a^(9) - (30388962393909854)/(34800150355099759011)*a^(8) + (45703218583989692)/(11600050118366586337)*a^(7) + (850902911837100037)/(34800150355099759011)*a^(6) - (2622687728328550516)/(34800150355099759011)*a^(5) - (11199070831553273758)/(34800150355099759011)*a^(4) + (23461082556139804672)/(34800150355099759011)*a^(3) + (41562850230008294305)/(34800150355099759011)*a^(2) - (46511709608352145738)/(34800150355099759011)*a + (6168474936549213783)/(504350005146373319) ], 27056.6931186, [[x^2 - 2, 1], [x^3 - x^2 - 20*x + 9, 1], [x^4 + 4*x^2 + 2, 1], [x^6 - 2*x^5 - 45*x^4 + 66*x^3 + 390*x^2 - 340*x - 599, 1]]]