/* 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^16 - 2*x^15 - 2*x^14 - 4*x^13 + 35*x^12 - 44*x^11 - 22*x^10 + 174*x^9 - 331*x^8 + 302*x^7 - 62*x^6 - 188*x^5 + 259*x^4 - 150*x^3 + 34*x^2 + 2*x - 1, 16, 388, [8, 4], 4635236761600000000, [2, 5, 29], [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, 1/678271643933*a^15 + 325750529126/678271643933*a^14 - 281507783993/678271643933*a^13 + 6430993347/23388677377*a^12 - 62961570293/678271643933*a^11 + 157343054483/678271643933*a^10 - 301370318331/678271643933*a^9 - 10917822661/52174741841*a^8 + 282971274632/678271643933*a^7 + 228689566757/678271643933*a^6 - 226933075903/678271643933*a^5 + 105485188402/678271643933*a^4 - 305553146047/678271643933*a^3 + 4704375499/678271643933*a^2 - 91615577874/678271643933*a + 191449920772/678271643933], 0, 1, [], 1, [ (6198213978)/(23388677377)*a^(15) - (5887904444)/(23388677377)*a^(14) - (13257134687)/(23388677377)*a^(13) - (42766276629)/(23388677377)*a^(12) + (155615242799)/(23388677377)*a^(11) - (150568464547)/(23388677377)*a^(10) - (155825990287)/(23388677377)*a^(9) + (66115281261)/(1799129029)*a^(8) - (1355523173117)/(23388677377)*a^(7) + (1108761551914)/(23388677377)*a^(6) - (120583326859)/(23388677377)*a^(5) - (868835214110)/(23388677377)*a^(4) + (965014949838)/(23388677377)*a^(3) - (558011971568)/(23388677377)*a^(2) + (111279312232)/(23388677377)*a + (12660653209)/(23388677377) , (215295537473)/(678271643933)*a^(15) - (372436714584)/(678271643933)*a^(14) - (500376276798)/(678271643933)*a^(13) - (33894293774)/(23388677377)*a^(12) + (7187993399723)/(678271643933)*a^(11) - (7856272403500)/(678271643933)*a^(10) - (6447256202087)/(678271643933)*a^(9) + (2761272109470)/(52174741841)*a^(8) - (62668398642699)/(678271643933)*a^(7) + (50937547964153)/(678271643933)*a^(6) - (1616438131376)/(678271643933)*a^(5) - (41668416863384)/(678271643933)*a^(4) + (46775995262537)/(678271643933)*a^(3) - (22662651256152)/(678271643933)*a^(2) + (2096858316404)/(678271643933)*a + (1426841670025)/(678271643933) , (263129898634)/(678271643933)*a^(15) - (234496344453)/(678271643933)*a^(14) - (956857680814)/(678271643933)*a^(13) - (66851738738)/(23388677377)*a^(12) + (7592119526534)/(678271643933)*a^(11) - (1998511812693)/(678271643933)*a^(10) - (12906115721909)/(678271643933)*a^(9) + (2624177017553)/(52174741841)*a^(8) - (42168268255325)/(678271643933)*a^(7) + (9234898076648)/(678271643933)*a^(6) + (26675811700091)/(678271643933)*a^(5) - (35772266344861)/(678271643933)*a^(4) + (17990136194143)/(678271643933)*a^(3) + (5337394214008)/(678271643933)*a^(2) - (4374402576905)/(678271643933)*a - (224980288100)/(678271643933) , (877266619421)/(678271643933)*a^(15) - (998071972483)/(678271643933)*a^(14) - (2420826758732)/(678271643933)*a^(13) - (195057352760)/(23388677377)*a^(12) + (25226271401325)/(678271643933)*a^(11) - (18572320097135)/(678271643933)*a^(10) - (31108407225507)/(678271643933)*a^(9) + (9634306092028)/(52174741841)*a^(8) - (190285279005895)/(678271643933)*a^(7) + (122489796822881)/(678271643933)*a^(6) + (27834203880902)/(678271643933)*a^(5) - (135563863015504)/(678271643933)*a^(4) + (123910704343860)/(678271643933)*a^(3) - (45166525810421)/(678271643933)*a^(2) + (711591078828)/(678271643933)*a + (2357011551253)/(678271643933) , (970226910240)/(678271643933)*a^(15) - (902934460414)/(678271643933)*a^(14) - (2754208147049)/(678271643933)*a^(13) - (236924425455)/(23388677377)*a^(12) + (26135297996515)/(678271643933)*a^(11) - (16109305052049)/(678271643933)*a^(10) - (35298289434420)/(678271643933)*a^(9) + (10058737615889)/(52174741841)*a^(8) - (187451683618100)/(678271643933)*a^(7) + (109157029297686)/(678271643933)*a^(6) + (38509800322211)/(678271643933)*a^(5) - (137386294074522)/(678271643933)*a^(4) + (115447715709399)/(678271643933)*a^(3) - (37467469683746)/(678271643933)*a^(2) - (680721953060)/(678271643933)*a + (2020764770107)/(678271643933) , (197950571324)/(678271643933)*a^(15) - (147247555607)/(678271643933)*a^(14) - (510679969780)/(678271643933)*a^(13) - (52237671862)/(23388677377)*a^(12) + (4837215107775)/(678271643933)*a^(11) - (3084545004948)/(678271643933)*a^(10) - (6198466062343)/(678271643933)*a^(9) + (1934762562670)/(52174741841)*a^(8) - (36256494310615)/(678271643933)*a^(7) + (24041096741816)/(678271643933)*a^(6) + (1842467706756)/(678271643933)*a^(5) - (23858940980195)/(678271643933)*a^(4) + (22855591085619)/(678271643933)*a^(3) - (11730895418676)/(678271643933)*a^(2) + (3844049854985)/(678271643933)*a - (108420032623)/(678271643933) , (455944397989)/(678271643933)*a^(15) - (627470044560)/(678271643933)*a^(14) - (1182108771455)/(678271643933)*a^(13) - (90878946927)/(23388677377)*a^(12) + (13962443932922)/(678271643933)*a^(11) - (12329109585928)/(678271643933)*a^(10) - (14812265499013)/(678271643933)*a^(9) + (5298296159056)/(52174741841)*a^(8) - (112400731168647)/(678271643933)*a^(7) + (82309592856066)/(678271643933)*a^(6) + (3700106750819)/(678271643933)*a^(5) - (73733120841323)/(678271643933)*a^(4) + (77815381741722)/(678271643933)*a^(3) - (34929053944489)/(678271643933)*a^(2) + (4875633402532)/(678271643933)*a + (336958870611)/(678271643933) , (31810130992)/(23388677377)*a^(15) - (28705382796)/(23388677377)*a^(14) - (92377683770)/(23388677377)*a^(13) - (228062366008)/(23388677377)*a^(12) + (854640569490)/(23388677377)*a^(11) - (491523876702)/(23388677377)*a^(10) - (1194725590629)/(23388677377)*a^(9) + (326463403549)/(1799129029)*a^(8) - (5963555210215)/(23388677377)*a^(7) + (3295953077943)/(23388677377)*a^(6) + (1438834455237)/(23388677377)*a^(5) - (4409684802145)/(23388677377)*a^(4) + (3513630806928)/(23388677377)*a^(3) - (1054531044578)/(23388677377)*a^(2) - (45892221407)/(23388677377)*a + (44796697015)/(23388677377) , (315437295909)/(678271643933)*a^(15) + (140507102080)/(678271643933)*a^(14) - (1117837534298)/(678271643933)*a^(13) - (122817085841)/(23388677377)*a^(12) + (4843120406543)/(678271643933)*a^(11) + (4926323319469)/(678271643933)*a^(10) - (14342406776457)/(678271643933)*a^(9) + (1979339785592)/(52174741841)*a^(8) - (9800477665455)/(678271643933)*a^(7) - (26939145469584)/(678271643933)*a^(6) + (35813335040124)/(678271643933)*a^(5) - (19788769839949)/(678271643933)*a^(4) - (11823631040841)/(678271643933)*a^(3) + (18676156314531)/(678271643933)*a^(2) - (5528029569052)/(678271643933)*a + (656750069231)/(678271643933) , (19555858407)/(678271643933)*a^(15) - (374960008113)/(678271643933)*a^(14) + (202983560406)/(678271643933)*a^(13) + (32926801563)/(23388677377)*a^(12) + (3324534477837)/(678271643933)*a^(11) - (9407820343283)/(678271643933)*a^(10) + (2943329305655)/(678271643933)*a^(9) + (1257396011525)/(52174741841)*a^(8) - (48453357776372)/(678271643933)*a^(7) + (61473353771506)/(678271643933)*a^(6) - (26215133514824)/(678271643933)*a^(5) - (21722776568001)/(678271643933)*a^(4) + (47504660669268)/(678271643933)*a^(3) - (34293832977733)/(678271643933)*a^(2) + (8767186855699)/(678271643933)*a - (279484478842)/(678271643933) , (26618958871)/(23388677377)*a^(15) - (23215183555)/(23388677377)*a^(14) - (77261769038)/(23388677377)*a^(13) - (193266866969)/(23388677377)*a^(12) + (707726096307)/(23388677377)*a^(11) - (394836460988)/(23388677377)*a^(10) - (996540006818)/(23388677377)*a^(9) + (270183170523)/(1799129029)*a^(8) - (4923982417901)/(23388677377)*a^(7) + (2698995363125)/(23388677377)*a^(6) + (1197216354102)/(23388677377)*a^(5) - (3642504269006)/(23388677377)*a^(4) + (2926991925974)/(23388677377)*a^(3) - (897489576838)/(23388677377)*a^(2) - (18999307687)/(23388677377)*a + (30822856247)/(23388677377) ], 1661.41008992, [[x^2 - x - 1, 1], [x^4 - x^2 - 1, 1], [x^4 + 3*x^2 - 29, 1], [x^4 - x^3 - 3*x^2 + x + 1, 1], [x^8 - 6*x^4 + 5*x^2 - 1, 2], [x^8 - 2*x^7 - 6*x^5 + 17*x^4 - 10*x^3 - 2*x^2 + 4*x - 1, 2], [x^8 + x^6 - 8*x^4 - 6*x^2 + 1, 1]]]