/* 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^15 - 6*x^14 + 29*x^13 - 119*x^12 + 396*x^11 - 1132*x^10 + 2906*x^9 - 6522*x^8 + 13105*x^7 - 24007*x^6 + 38721*x^5 - 52199*x^4 + 52599*x^3 - 37137*x^2 + 14859*x - 2421, 15, 2, [1, 7], -8450344007000266933623879, [3, 1213], [1, a, a^2, a^3, a^4, a^5, 1/3*a^6 + 1/3*a^4 + 1/3*a^2, 1/3*a^7 + 1/3*a^5 + 1/3*a^3, 1/3*a^8 - 1/3*a^2, 1/9*a^9 - 1/3*a^5 - 4/9*a^3 - 1/3*a, 1/9*a^10 - 1/9*a^4, 1/9*a^11 - 1/9*a^5, 1/9*a^12 - 1/9*a^6, 1/81*a^13 + 4/81*a^12 - 4/81*a^11 - 1/81*a^10 + 1/27*a^9 - 1/27*a^8 + 2/81*a^7 + 8/81*a^6 + 25/81*a^5 - 32/81*a^4 - 4/9*a^3 - 1/27*a^2 - 1/9*a + 1/9, 1/300775241343710331*a^14 + 552779285442629/300775241343710331*a^13 + 549848504754818/33419471260412259*a^12 - 27017080172585/942869095121349*a^11 - 884867963771006/27343203758519121*a^10 + 398355002683082/33419471260412259*a^9 - 1654418639651207/27343203758519121*a^8 + 1276475409501634/300775241343710331*a^7 + 4296757354831004/100258413781236777*a^6 - 16096503895896796/300775241343710331*a^5 - 66919588537724816/300775241343710331*a^4 + 10088668923281891/100258413781236777*a^3 + 4988107917544460/100258413781236777*a^2 - 2781404904652334/11139823753470753*a - 9300966731360576/33419471260412259], 0, 7, [7], 1, [ (110098422693676)/(300775241343710331)*a^(14) - (871031322155096)/(300775241343710331)*a^(13) + (3630608138006948)/(300775241343710331)*a^(12) - (48421391659897)/(942869095121349)*a^(11) + (1548141371357011)/(9114401252839707)*a^(10) - (46739439218471179)/(100258413781236777)*a^(9) + (31919802361336198)/(27343203758519121)*a^(8) - (780930812464370998)/(300775241343710331)*a^(7) + (1480915738092105775)/(300775241343710331)*a^(6) - (2626777449160446914)/(300775241343710331)*a^(5) + (1401726280812980453)/(100258413781236777)*a^(4) - (1631884309182364267)/(100258413781236777)*a^(3) + (143919088318635451)/(11139823753470753)*a^(2) - (156901359798663512)/(33419471260412259)*a + (6748107152864120)/(11139823753470753) , (5620461917299355)/(300775241343710331)*a^(14) - (10303977298598044)/(100258413781236777)*a^(13) + (147003105161776385)/(300775241343710331)*a^(12) - (619440588067219)/(314289698373783)*a^(11) + (174374686491072862)/(27343203758519121)*a^(10) - (1786020423290547424)/(100258413781236777)*a^(9) + (1229127984832397216)/(27343203758519121)*a^(8) - (9845869966165439780)/(100258413781236777)*a^(7) + (58013982431120579038)/(300775241343710331)*a^(6) - (34710989485467228344)/(100258413781236777)*a^(5) + (162227113201246627090)/(300775241343710331)*a^(4) - (68831225943433748975)/(100258413781236777)*a^(3) + (61362155191399196621)/(100258413781236777)*a^(2) - (12012822268158156626)/(33419471260412259)*a + (2664998704405551958)/(33419471260412259) , (643609340621560)/(300775241343710331)*a^(14) - (1043150172760163)/(100258413781236777)*a^(13) + (14828806958167009)/(300775241343710331)*a^(12) - (61075729864892)/(314289698373783)*a^(11) + (16592391911796770)/(27343203758519121)*a^(10) - (165954409709640917)/(100258413781236777)*a^(9) + (112024686662504215)/(27343203758519121)*a^(8) - (867208045055122003)/(100258413781236777)*a^(7) + (4992565381708883120)/(300775241343710331)*a^(6) - (2915240804905267315)/(100258413781236777)*a^(5) + (13001332341975669446)/(300775241343710331)*a^(4) - (5117675369093630347)/(100258413781236777)*a^(3) + (3716972101746133288)/(100258413781236777)*a^(2) - (516455859589245427)/(33419471260412259)*a - (120979521837871858)/(33419471260412259) , (10158945711497582)/(100258413781236777)*a^(14) - (18632810838619385)/(33419471260412259)*a^(13) + (266711214839052884)/(100258413781236777)*a^(12) - (1124034285765524)/(104763232791261)*a^(11) + (316850721387881797)/(9114401252839707)*a^(10) - (3252059128786868492)/(33419471260412259)*a^(9) + (2239694053814910716)/(9114401252839707)*a^(8) - (17970829842465039610)/(33419471260412259)*a^(7) + (106092560097931469962)/(100258413781236777)*a^(6) - (63543207776483023102)/(33419471260412259)*a^(5) + (297602397084439733641)/(100258413781236777)*a^(4) - (126866017218586518331)/(33419471260412259)*a^(3) + (114164610415350868181)/(33419471260412259)*a^(2) - (22643863010549005906)/(11139823753470753)*a + (5222583921219001543)/(11139823753470753) , (133902148977308)/(300775241343710331)*a^(14) - (214882211894551)/(100258413781236777)*a^(13) + (3079590334771475)/(300775241343710331)*a^(12) - (12789276307789)/(314289698373783)*a^(11) + (3438425836221790)/(27343203758519121)*a^(10) - (34417258530987223)/(100258413781236777)*a^(9) + (23290053147849128)/(27343203758519121)*a^(8) - (178416259044089936)/(100258413781236777)*a^(7) + (1036121992360687699)/(300775241343710331)*a^(6) - (609703293379237895)/(100258413781236777)*a^(5) + (2694952597847008618)/(300775241343710331)*a^(4) - (1059317744206266008)/(100258413781236777)*a^(3) + (825780126554143790)/(100258413781236777)*a^(2) - (162036713950564076)/(33419471260412259)*a + (45402369709558831)/(33419471260412259) , (1833182810608438)/(300775241343710331)*a^(14) - (501888842885077)/(33419471260412259)*a^(13) + (20312405482752133)/(300775241343710331)*a^(12) - (72102218808298)/(314289698373783)*a^(11) + (11908510837787249)/(27343203758519121)*a^(10) - (77492263439300522)/(100258413781236777)*a^(9) + (33907281350900713)/(27343203758519121)*a^(8) + (30330921667086352)/(33419471260412259)*a^(7) - (1609259576771171770)/(300775241343710331)*a^(6) + (1426911614014455967)/(100258413781236777)*a^(5) - (13789469165990927308)/(300775241343710331)*a^(4) + (9521787192745753730)/(100258413781236777)*a^(3) - (14540611501559974112)/(100258413781236777)*a^(2) + (3102231382147341419)/(33419471260412259)*a - (666180398098358662)/(33419471260412259) , (1609768755298397)/(300775241343710331)*a^(14) - (8058288262557266)/(300775241343710331)*a^(13) + (4221857314469239)/(33419471260412259)*a^(12) - (470658427720621)/(942869095121349)*a^(11) + (42865259311198703)/(27343203758519121)*a^(10) - (142830646697844793)/(33419471260412259)*a^(9) + (289770262742703401)/(27343203758519121)*a^(8) - (6743014093069011592)/(300775241343710331)*a^(7) + (4311087280420100320)/(100258413781236777)*a^(6) - (22689517094689646804)/(300775241343710331)*a^(5) + (33797156736280365854)/(300775241343710331)*a^(4) - (13315051144692208607)/(100258413781236777)*a^(3) + (9700616397993363595)/(100258413781236777)*a^(2) - (445386519790130912)/(11139823753470753)*a - (290522377300301935)/(33419471260412259) ], 4974627.527237572, [[x^3 - x^2 - 2*x + 24, 1], [x^5 - x^4 + x^3 + 12*x^2 + 21*x + 9, 1]]]