/* 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 - 4*x^15 - 15*x^14 + 66*x^13 + 103*x^12 - 524*x^11 - 225*x^10 + 2200*x^9 - 1068*x^8 - 3038*x^7 + 3306*x^6 - 792*x^5 - 709*x^4 + 3000*x^3 - 2465*x^2 - 1080*x + 1255, 16, 1086, [12, 2], 3295982154256000000000000, [2, 5, 11, 31], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, 1/3*a^12 + 1/3*a^11 - 1/3*a^9 + 1/3*a^8 + 1/3*a^5 - 1/3*a^3 - 1/3*a^2 + 1/3*a - 1/3, 1/3*a^13 - 1/3*a^11 - 1/3*a^10 - 1/3*a^9 - 1/3*a^8 + 1/3*a^6 - 1/3*a^5 - 1/3*a^4 - 1/3*a^2 + 1/3*a + 1/3, 1/3*a^14 - 1/3*a^10 + 1/3*a^9 + 1/3*a^8 + 1/3*a^7 - 1/3*a^6 + 1/3*a^3 - 1/3*a - 1/3, 1/285811023*a^15 + 40466393/285811023*a^14 + 6462510/95270341*a^13 + 39862438/285811023*a^12 + 9234975/95270341*a^11 - 14101459/285811023*a^10 + 92904815/285811023*a^9 + 85217584/285811023*a^8 + 69952966/285811023*a^7 + 97310668/285811023*a^6 - 24847751/285811023*a^5 + 37266667/285811023*a^4 + 80881009/285811023*a^3 - 99790448/285811023*a^2 + 36719527/285811023*a + 9468039/95270341], 0, 1, [], 1, [ (81546071814)/(95270341)*a^(15) - (212121591295)/(95270341)*a^(14) - (1519901270346)/(95270341)*a^(13) + (3256082272906)/(95270341)*a^(12) + (12953792744912)/(95270341)*a^(11) - (24611060581384)/(95270341)*a^(10) - (52773463312234)/(95270341)*a^(9) + (105584685238782)/(95270341)*a^(8) + (60599038277658)/(95270341)*a^(7) - (162975368284432)/(95270341)*a^(6) + (41623729166640)/(95270341)*a^(5) - (6361186921617)/(95270341)*a^(4) - (66713327554258)/(95270341)*a^(3) + (151323837804456)/(95270341)*a^(2) + (10658404794020)/(95270341)*a - (73163167112103)/(95270341) , (503618991203)/(285811023)*a^(15) - (436759949518)/(95270341)*a^(14) - (9386506476704)/(285811023)*a^(13) + (20114299855522)/(285811023)*a^(12) + (79999478383339)/(285811023)*a^(11) - (152040489903740)/(285811023)*a^(10) - (108639551274365)/(95270341)*a^(9) + (652277507553866)/(285811023)*a^(8) + (374223386185606)/(285811023)*a^(7) - (1006879286793308)/(285811023)*a^(6) + (85711831565338)/(95270341)*a^(5) - (39175193344400)/(285811023)*a^(4) - (412020505385809)/(285811023)*a^(3) + (934895376020015)/(285811023)*a^(2) + (21919992903709)/(95270341)*a - (150697928142192)/(95270341) , (539581933409)/(285811023)*a^(15) - (1403987431718)/(285811023)*a^(14) - (10056627502948)/(285811023)*a^(13) + (21553544358095)/(285811023)*a^(12) + (85710726381925)/(285811023)*a^(11) - (162922631777815)/(285811023)*a^(10) - (349185723189421)/(285811023)*a^(9) + (232986956205512)/(95270341)*a^(8) + (400913199914057)/(285811023)*a^(7) - (1078947025778231)/(285811023)*a^(6) + (91850080097178)/(95270341)*a^(5) - (13985137988866)/(95270341)*a^(4) - (441423873839401)/(285811023)*a^(3) + (333937793684736)/(95270341)*a^(2) + (70409892851074)/(285811023)*a - (484474477487641)/(285811023) , (64318714087)/(285811023)*a^(15) - (166976187938)/(285811023)*a^(14) - (1199078965589)/(285811023)*a^(13) + (853726859878)/(95270341)*a^(12) + (10218615263341)/(285811023)*a^(11) - (19350052315705)/(285811023)*a^(10) - (41624061955823)/(285811023)*a^(9) + (83013199868182)/(285811023)*a^(8) + (15938809474810)/(95270341)*a^(7) - (42690179060823)/(95270341)*a^(6) + (32753925987179)/(285811023)*a^(5) - (1716169232433)/(95270341)*a^(4) - (52597198330793)/(285811023)*a^(3) + (118908853871290)/(285811023)*a^(2) + (8469564094199)/(285811023)*a - (19131644473341)/(95270341) , (265603962012)/(95270341)*a^(15) - (2073347412574)/(285811023)*a^(14) - (14850616797235)/(285811023)*a^(13) + (10609759880207)/(95270341)*a^(12) + (126567362144065)/(285811023)*a^(11) - (240596034093337)/(285811023)*a^(10) - (171874518435552)/(95270341)*a^(9) + (344059887739553)/(95270341)*a^(8) + (591935534499572)/(285811023)*a^(7) - (531083072718997)/(95270341)*a^(6) + (407006831085871)/(285811023)*a^(5) - (62075099342123)/(285811023)*a^(4) - (651755173664134)/(285811023)*a^(3) + (1479347793177808)/(285811023)*a^(2) + (34628612507832)/(95270341)*a - (238451611072468)/(95270341) , (169622842319)/(95270341)*a^(15) - (1323631508377)/(285811023)*a^(14) - (9484741623281)/(285811023)*a^(13) + (20317803418273)/(285811023)*a^(12) + (26945785678338)/(95270341)*a^(11) - (51190870548320)/(95270341)*a^(10) - (109779107602155)/(95270341)*a^(9) + (658860064343681)/(285811023)*a^(8) + (378224348264429)/(285811023)*a^(7) - (1017051757082140)/(285811023)*a^(6) + (86558537938329)/(95270341)*a^(5) - (39580908887242)/(285811023)*a^(4) - (416386655303273)/(285811023)*a^(3) + (944336538863872)/(285811023)*a^(2) + (22189722505165)/(95270341)*a - (456632162905991)/(285811023) , (322957046266)/(285811023)*a^(15) - (840136389919)/(285811023)*a^(14) - (6019787534066)/(285811023)*a^(13) + (4299086212441)/(95270341)*a^(12) + (51309143404522)/(285811023)*a^(11) - (97490309377328)/(285811023)*a^(10) - (209061537797839)/(285811023)*a^(9) + (418277701007480)/(285811023)*a^(8) + (240207990326047)/(285811023)*a^(7) - (645842821058842)/(285811023)*a^(6) + (164680033012940)/(285811023)*a^(5) - (8274667175531)/(95270341)*a^(4) - (264459791357755)/(285811023)*a^(3) + (599669721593464)/(285811023)*a^(2) + (42368101194925)/(285811023)*a - (290126731236991)/(285811023) , (122231797604)/(285811023)*a^(15) - (106028445137)/(95270341)*a^(14) - (2277766629584)/(285811023)*a^(13) + (1627552877409)/(95270341)*a^(12) + (6469910749543)/(95270341)*a^(11) - (36904699488473)/(285811023)*a^(10) - (79050663285716)/(285811023)*a^(9) + (158301699133483)/(285811023)*a^(8) + (90626796282784)/(285811023)*a^(7) - (244202620554104)/(285811023)*a^(6) + (62589404554781)/(285811023)*a^(5) - (9780726648737)/(285811023)*a^(4) - (33261334409402)/(95270341)*a^(3) + (75581501158599)/(95270341)*a^(2) + (15792173785181)/(285811023)*a - (109514686205741)/(285811023) , (109287685675)/(285811023)*a^(15) - (94618508153)/(95270341)*a^(14) - (2037586531075)/(285811023)*a^(13) + (4355235270460)/(285811023)*a^(12) + (17367549826114)/(285811023)*a^(11) - (32910448499830)/(285811023)*a^(10) - (70767294117347)/(285811023)*a^(9) + (47067978677991)/(95270341)*a^(8) + (81392537027036)/(285811023)*a^(7) - (217985752266601)/(285811023)*a^(6) + (55553186023274)/(285811023)*a^(5) - (8495322172885)/(285811023)*a^(4) - (89545184060791)/(285811023)*a^(3) + (202396930156316)/(285811023)*a^(2) + (14493197621321)/(285811023)*a - (97828852574048)/(285811023) , (194210976664)/(285811023)*a^(15) - (505184229650)/(285811023)*a^(14) - (3619761814040)/(285811023)*a^(13) + (7754501100284)/(285811023)*a^(12) + (10283283234883)/(95270341)*a^(11) - (58611937183258)/(285811023)*a^(10) - (125677371834142)/(285811023)*a^(9) + (83817179323589)/(95270341)*a^(8) + (48097729597029)/(95270341)*a^(7) - (129370423046207)/(95270341)*a^(6) + (99157163932327)/(285811023)*a^(5) - (5060132597789)/(95270341)*a^(4) - (158853747457531)/(285811023)*a^(3) + (360362654388668)/(285811023)*a^(2) + (25358091265819)/(285811023)*a - (174217095762284)/(285811023) , (639164889487)/(285811023)*a^(15) - (1662987987406)/(285811023)*a^(14) - (3970995288456)/(95270341)*a^(13) + (25529543242100)/(285811023)*a^(12) + (101534379649357)/(285811023)*a^(11) - (192977607494605)/(285811023)*a^(10) - (413668796337155)/(285811023)*a^(9) + (827920747732226)/(285811023)*a^(8) + (475057846596712)/(285811023)*a^(7) - (1278125953061627)/(285811023)*a^(6) + (326254332325127)/(285811023)*a^(5) - (49511971046294)/(285811023)*a^(4) - (174349943382864)/(95270341)*a^(3) + (395584020825620)/(95270341)*a^(2) + (83542198609196)/(285811023)*a - (573994538220724)/(285811023) , (121996866557)/(285811023)*a^(15) - (317667367837)/(285811023)*a^(14) - (2273436517262)/(285811023)*a^(13) + (1625927834831)/(95270341)*a^(12) + (6458462180062)/(95270341)*a^(11) - (36875360934019)/(285811023)*a^(10) - (26309962235058)/(95270341)*a^(9) + (52730502917993)/(95270341)*a^(8) + (30185555826526)/(95270341)*a^(7) - (244171862864164)/(285811023)*a^(6) + (62417135379860)/(285811023)*a^(5) - (9507571726334)/(285811023)*a^(4) - (99736291333306)/(285811023)*a^(3) + (75573228831576)/(95270341)*a^(2) + (5272002049484)/(95270341)*a - (109650711221449)/(285811023) , (852510660766)/(285811023)*a^(15) - (2217499107491)/(285811023)*a^(14) - (15889851735625)/(285811023)*a^(13) + (34038655246778)/(285811023)*a^(12) + (135427642264262)/(285811023)*a^(11) - (257280691868348)/(285811023)*a^(10) - (551743211740766)/(285811023)*a^(9) + (1103781043777571)/(285811023)*a^(8) + (211215535968641)/(95270341)*a^(7) - (1703818263244322)/(285811023)*a^(6) + (145008317483427)/(95270341)*a^(5) - (66374659408489)/(285811023)*a^(4) - (697566618185266)/(285811023)*a^(3) + (1582007330143561)/(285811023)*a^(2) + (111542428523792)/(285811023)*a - (764933799229474)/(285811023) ], 7315526.50334, [[x^2 - x - 1, 1], [x^4 - x^3 - 14*x^2 + 14*x + 31, 1], [x^4 - 7*x^2 + 11, 1], [x^4 - 15*x^2 + 55, 1], [x^8 - 11*x^6 + 31*x^4 - 11*x^2 + 1, 1]]]