/* 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 - 6*x^15 - 2*x^14 + 76*x^13 - 118*x^12 - 194*x^11 + 618*x^10 - 346*x^9 - 266*x^8 + 350*x^7 - 216*x^6 + 62*x^5 + 123*x^4 - 70*x^3 - 20*x^2 + 8*x + 1, 16, 1379, [14, 1], -4810420224000000000000, [2, 3, 5, 179], [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^7 - 1/3*a^6 + 1/3*a^5 + 1/3*a^4 + 1/3*a^2 + 1/3*a + 1/3, 1/3*a^13 - 1/3*a^11 + 1/3*a^10 + 1/3*a^8 - 1/3*a^6 - 1/3*a^4 + 1/3*a^3 - 1/3, 1/3*a^14 - 1/3*a^11 - 1/3*a^9 + 1/3*a^8 + 1/3*a^7 - 1/3*a^6 - 1/3*a^4 + 1/3*a^2 + 1/3, 1/126249537*a^15 + 17422016/126249537*a^14 + 7922153/126249537*a^13 + 16269395/126249537*a^12 - 23724658/126249537*a^11 - 40279124/126249537*a^10 + 748709/126249537*a^9 + 6672770/126249537*a^8 + 4997155/126249537*a^7 + 41961572/126249537*a^6 - 46349173/126249537*a^5 - 552065/3079257*a^4 + 143408/1026419*a^3 - 58778572/126249537*a^2 - 59604533/126249537*a - 16030129/42083179], 0, 1, [], 1, [ (266646)/(1026419)*a^(15) - (1983362)/(1026419)*a^(14) + (1102916)/(1026419)*a^(13) + (23565536)/(1026419)*a^(12) - (53417754)/(1026419)*a^(11) - (42641446)/(1026419)*a^(10) + (235788046)/(1026419)*a^(9) - (189002025)/(1026419)*a^(8) - (50387726)/(1026419)*a^(7) + (117620692)/(1026419)*a^(6) - (100443978)/(1026419)*a^(5) + (57878517)/(1026419)*a^(4) + (31386270)/(1026419)*a^(3) - (26596028)/(1026419)*a^(2) - (2433948)/(1026419)*a + (714462)/(1026419) , (20799764)/(126249537)*a^(15) - (56514160)/(126249537)*a^(14) - (341676527)/(126249537)*a^(13) + (344287341)/(42083179)*a^(12) + (1542484553)/(126249537)*a^(11) - (6239537791)/(126249537)*a^(10) + (258448442)/(126249537)*a^(9) + (12490178104)/(126249537)*a^(8) - (10983689597)/(126249537)*a^(7) + (727987090)/(126249537)*a^(6) + (1444549826)/(42083179)*a^(5) - (148162961)/(3079257)*a^(4) + (28647181)/(1026419)*a^(3) + (900521368)/(126249537)*a^(2) - (1044682184)/(126249537)*a + (22968494)/(42083179) , (8705415)/(42083179)*a^(15) - (180201631)/(126249537)*a^(14) + (10395548)/(42083179)*a^(13) + (2226133306)/(126249537)*a^(12) - (4170217489)/(126249537)*a^(11) - (1699523524)/(42083179)*a^(10) + (19339732664)/(126249537)*a^(9) - (4113652389)/(42083179)*a^(8) - (4376254355)/(126249537)*a^(7) + (2572122938)/(42083179)*a^(6) - (8353443329)/(126249537)*a^(5) + (93039901)/(3079257)*a^(4) + (19230620)/(1026419)*a^(3) - (300581072)/(42083179)*a^(2) + (20142097)/(126249537)*a - (29165643)/(42083179) , (33878932)/(126249537)*a^(15) - (183357464)/(126249537)*a^(14) - (48197712)/(42083179)*a^(13) + (2386194289)/(126249537)*a^(12) - (2984861267)/(126249537)*a^(11) - (6781660030)/(126249537)*a^(10) + (17836757150)/(126249537)*a^(9) - (7883160680)/(126249537)*a^(8) - (10687147982)/(126249537)*a^(7) + (3937076832)/(42083179)*a^(6) - (5646065219)/(126249537)*a^(5) + (21079973)/(3079257)*a^(4) + (113998247)/(3079257)*a^(3) - (856576483)/(42083179)*a^(2) - (243942834)/(42083179)*a + (27151846)/(42083179) , (30472405)/(126249537)*a^(15) - (190573924)/(126249537)*a^(14) + (12509711)/(126249537)*a^(13) + (747506167)/(42083179)*a^(12) - (1498335558)/(42083179)*a^(11) - (3780859220)/(126249537)*a^(10) + (6926100837)/(42083179)*a^(9) - (6511577759)/(42083179)*a^(8) - (827957003)/(42083179)*a^(7) + (12769858426)/(126249537)*a^(6) - (3404948117)/(42083179)*a^(5) + (50456560)/(1026419)*a^(4) + (14948673)/(1026419)*a^(3) - (970541440)/(42083179)*a^(2) + (81705146)/(126249537)*a + (178582540)/(126249537) , (46916009)/(126249537)*a^(15) - (236715791)/(126249537)*a^(14) - (310489883)/(126249537)*a^(13) + (3258995329)/(126249537)*a^(12) - (2627732936)/(126249537)*a^(11) - (11338108363)/(126249537)*a^(10) + (19598181106)/(126249537)*a^(9) + (149220937)/(126249537)*a^(8) - (15359943952)/(126249537)*a^(7) + (8444355904)/(126249537)*a^(6) - (4019793851)/(126249537)*a^(5) - (55123060)/(3079257)*a^(4) + (47877801)/(1026419)*a^(3) - (1221848)/(126249537)*a^(2) - (1024540087)/(126249537)*a - (48280328)/(42083179) , (53597222)/(126249537)*a^(15) - (300467686)/(126249537)*a^(14) - (206017859)/(126249537)*a^(13) + (1310474317)/(42083179)*a^(12) - (5027899189)/(126249537)*a^(11) - (11484435649)/(126249537)*a^(10) + (29260378100)/(126249537)*a^(9) - (10757070971)/(126249537)*a^(8) - (17181379895)/(126249537)*a^(7) + (15195332206)/(126249537)*a^(6) - (2673653272)/(42083179)*a^(5) + (25472590)/(3079257)*a^(4) + (60033451)/(1026419)*a^(3) - (2370790076)/(126249537)*a^(2) - (1344057788)/(126249537)*a + (52261436)/(42083179) , (8027434)/(126249537)*a^(15) - (103520176)/(126249537)*a^(14) + (61883647)/(42083179)*a^(13) + (1230204694)/(126249537)*a^(12) - (1271286106)/(42083179)*a^(11) - (2171936992)/(126249537)*a^(10) + (15968232304)/(126249537)*a^(9) - (10537747288)/(126249537)*a^(8) - (7855074688)/(126249537)*a^(7) + (8343806267)/(126249537)*a^(6) - (4806266447)/(126249537)*a^(5) + (17205907)/(1026419)*a^(4) + (98212883)/(3079257)*a^(3) - (1811072792)/(126249537)*a^(2) - (300518647)/(42083179)*a + (186156859)/(126249537) , (8705415)/(42083179)*a^(15) - (180201631)/(126249537)*a^(14) + (10395548)/(42083179)*a^(13) + (2226133306)/(126249537)*a^(12) - (4170217489)/(126249537)*a^(11) - (1699523524)/(42083179)*a^(10) + (19339732664)/(126249537)*a^(9) - (4113652389)/(42083179)*a^(8) - (4376254355)/(126249537)*a^(7) + (2572122938)/(42083179)*a^(6) - (8353443329)/(126249537)*a^(5) + (93039901)/(3079257)*a^(4) + (19230620)/(1026419)*a^(3) - (300581072)/(42083179)*a^(2) + (20142097)/(126249537)*a - (71248822)/(42083179) , (38211899)/(126249537)*a^(15) - (264028445)/(126249537)*a^(14) + (28631330)/(42083179)*a^(13) + (3141781385)/(126249537)*a^(12) - (2208598008)/(42083179)*a^(11) - (5727215441)/(126249537)*a^(10) + (29769583658)/(126249537)*a^(9) - (25156521998)/(126249537)*a^(8) - (4588387685)/(126249537)*a^(7) + (16402663297)/(126249537)*a^(6) - (14531712121)/(126249537)*a^(5) + (65980292)/(1026419)*a^(4) + (63835189)/(3079257)*a^(3) - (3602777566)/(126249537)*a^(2) + (48967282)/(42083179)*a + (209054945)/(126249537) , (17256635)/(42083179)*a^(15) - (100104623)/(42083179)*a^(14) - (171877613)/(126249537)*a^(13) + (3914498854)/(126249537)*a^(12) - (1725037046)/(42083179)*a^(11) - (11310646403)/(126249537)*a^(10) + (28792928668)/(126249537)*a^(9) - (10884928780)/(126249537)*a^(8) - (13656163858)/(126249537)*a^(7) + (12896110660)/(126249537)*a^(6) - (10331921807)/(126249537)*a^(5) + (18177773)/(1026419)*a^(4) + (144413579)/(3079257)*a^(3) - (1407210638)/(126249537)*a^(2) - (232783832)/(126249537)*a - (27663516)/(42083179) , (16973589)/(42083179)*a^(15) - (285806312)/(126249537)*a^(14) - (218951756)/(126249537)*a^(13) + (3808553569)/(126249537)*a^(12) - (4463421844)/(126249537)*a^(11) - (11921666720)/(126249537)*a^(10) + (8922086129)/(42083179)*a^(9) - (2064988144)/(42083179)*a^(8) - (5472944771)/(42083179)*a^(7) + (3776012179)/(42083179)*a^(6) - (7614783962)/(126249537)*a^(5) + (19077877)/(3079257)*a^(4) + (157154918)/(3079257)*a^(3) - (854267344)/(126249537)*a^(2) - (819475967)/(126249537)*a - (204863150)/(126249537) , (6041103)/(42083179)*a^(15) - (41852786)/(126249537)*a^(14) - (354610424)/(126249537)*a^(13) + (909992641)/(126249537)*a^(12) + (2106961898)/(126249537)*a^(11) - (6676768862)/(126249537)*a^(10) - (745223757)/(42083179)*a^(9) + (5684094881)/(42083179)*a^(8) - (3407048005)/(42083179)*a^(7) - (1046436193)/(42083179)*a^(6) + (4739825332)/(126249537)*a^(5) - (154557674)/(3079257)*a^(4) + (62996108)/(3079257)*a^(3) + (2417044100)/(126249537)*a^(2) - (520100363)/(126249537)*a - (166492439)/(126249537) , (4895734)/(42083179)*a^(15) + (130229)/(42083179)*a^(14) - (113967394)/(42083179)*a^(13) + (65433754)/(126249537)*a^(12) + (2823515614)/(126249537)*a^(11) - (370456687)/(42083179)*a^(10) - (9573481652)/(126249537)*a^(9) + (5306118598)/(126249537)*a^(8) + (10629449585)/(126249537)*a^(7) - (6368933704)/(126249537)*a^(6) + (656693047)/(126249537)*a^(5) - (1930339)/(3079257)*a^(4) - (40874875)/(1026419)*a^(3) + (1742103172)/(126249537)*a^(2) + (1246565158)/(126249537)*a - (51334535)/(126249537) ], 205339.151919, [[x^2 - x - 1, 1], [x^2 - 15, 1], [x^2 - 3, 1], [x^4 - 5*x^2 + 5, 1], [x^4 - x^3 - 4*x^2 + 4*x + 1, 1], [x^4 - 2*x^3 - 7*x^2 + 8*x + 1, 1], [x^8 - 7*x^6 + 14*x^4 - 8*x^2 + 1, 1]]]