/* 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 + 3*x^14 + 24*x^13 - 101*x^12 + 118*x^11 - 22*x^10 - 75*x^9 + 317*x^8 + 233*x^7 - 201*x^6 - 1090*x^5 - 817*x^4 - 124*x^3 + 505*x^2 + 705*x + 239, 16, 817, [8, 4], 193497104236838597191936, [2, 17, 67], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, 1/34*a^12 - 1/2*a^11 + 7/17*a^10 + 8/17*a^9 + 7/17*a^8 + 15/34*a^7 - 13/34*a^6 + 5/17*a^5 + 5/34*a^4 + 7/34*a^3 + 3/34*a^2 - 5/34*a + 1/34, 1/34*a^13 - 3/34*a^11 + 8/17*a^10 + 7/17*a^9 + 15/34*a^8 + 2/17*a^7 - 7/34*a^6 + 5/34*a^5 - 5/17*a^4 - 7/17*a^3 + 6/17*a^2 - 8/17*a - 1/2, 1/34*a^14 - 1/34*a^11 - 6/17*a^10 - 5/34*a^9 + 6/17*a^8 + 2/17*a^7 - 7/17*a^5 + 1/34*a^4 - 1/34*a^3 - 7/34*a^2 + 1/17*a + 3/34, 1/12555781018540274722*a^15 + 39380938527320423/6277890509270137361*a^14 - 111794022958083609/12555781018540274722*a^13 - 6177830576578694/6277890509270137361*a^12 - 879975783298591319/6277890509270137361*a^11 - 4573004859447069135/12555781018540274722*a^10 + 17796176557918059/6277890509270137361*a^9 - 334342432629244011/738575354031780866*a^8 - 5054084117961286885/12555781018540274722*a^7 - 1510844948951584789/6277890509270137361*a^6 - 3018677973449342975/6277890509270137361*a^5 - 149969881244088993/369287677015890433*a^4 + 66567637565851991/369287677015890433*a^3 + 4897584007943236745/12555781018540274722*a^2 + 1106817164590274928/6277890509270137361*a + 2146343647338065981/6277890509270137361], 0, 1, [], 1, [ (22522394228884069)/(12555781018540274722)*a^(15) - (6126896507077043)/(738575354031780866)*a^(14) + (134563326512459225)/(12555781018540274722)*a^(13) + (408195540615692641)/(12555781018540274722)*a^(12) - (1178986689567943573)/(6277890509270137361)*a^(11) + (3997574438753900055)/(12555781018540274722)*a^(10) - (4071395896420957131)/(12555781018540274722)*a^(9) + (5372576763149537097)/(12555781018540274722)*a^(8) - (1200024923550716438)/(6277890509270137361)*a^(7) + (597551025260960643)/(738575354031780866)*a^(6) - (2933174005669638624)/(6277890509270137361)*a^(5) - (17462508659862522791)/(6277890509270137361)*a^(4) - (1047194590088533627)/(6277890509270137361)*a^(3) + (2101580400100425119)/(12555781018540274722)*a^(2) + (1209084595382716255)/(738575354031780866)*a - (1323188697721053796)/(6277890509270137361) , (55399319788022111)/(6277890509270137361)*a^(15) - (257259346564616109)/(6277890509270137361)*a^(14) + (37404148152192091)/(738575354031780866)*a^(13) + (1159046914363213586)/(6277890509270137361)*a^(12) - (12634081571010671923)/(12555781018540274722)*a^(11) + (10229725473315079957)/(6277890509270137361)*a^(10) - (6871678576111161512)/(6277890509270137361)*a^(9) + (791500386395271041)/(12555781018540274722)*a^(8) + (15877452906568866655)/(6277890509270137361)*a^(7) + (9512260860864612775)/(12555781018540274722)*a^(6) - (32697762620044979271)/(12555781018540274722)*a^(5) - (57139116916324033684)/(6277890509270137361)*a^(4) - (12872210904759259353)/(6277890509270137361)*a^(3) + (11416031627114353018)/(6277890509270137361)*a^(2) + (35279954734190009343)/(6277890509270137361)*a + (42497080796973953535)/(12555781018540274722) , (44016837403332856)/(6277890509270137361)*a^(15) - (381804216988953025)/(12555781018540274722)*a^(14) + (430997226279983501)/(12555781018540274722)*a^(13) + (1844085729227617179)/(12555781018540274722)*a^(12) - (9420526481197299871)/(12555781018540274722)*a^(11) + (7174396595831480561)/(6277890509270137361)*a^(10) - (9990556550721982023)/(12555781018540274722)*a^(9) + (539106689024298845)/(12555781018540274722)*a^(8) + (24146844482539742689)/(12555781018540274722)*a^(7) + (5161265490875453790)/(6277890509270137361)*a^(6) - (10197667504697119109)/(12555781018540274722)*a^(5) - (43930707802353871276)/(6277890509270137361)*a^(4) - (12825866331487320286)/(6277890509270137361)*a^(3) - (6243475293363505757)/(6277890509270137361)*a^(2) + (35887113382025513607)/(12555781018540274722)*a + (37109503790708209903)/(12555781018540274722) , (30785531072415735)/(6277890509270137361)*a^(15) - (161039700965597992)/(6277890509270137361)*a^(14) + (518926382800496149)/(12555781018540274722)*a^(13) + (1038599009800050693)/(12555781018540274722)*a^(12) - (3828453073522902199)/(6277890509270137361)*a^(11) + (7728871035801041884)/(6277890509270137361)*a^(10) - (7651713200002887023)/(6277890509270137361)*a^(9) + (8161507663797259089)/(12555781018540274722)*a^(8) + (16112796115602339453)/(12555781018540274722)*a^(7) - (2749488176498608083)/(6277890509270137361)*a^(6) - (15346778701481426889)/(12555781018540274722)*a^(5) - (66109261791426664799)/(12555781018540274722)*a^(4) + (10979721013907904731)/(12555781018540274722)*a^(3) - (2792012592086012213)/(12555781018540274722)*a^(2) + (45269295854088721351)/(12555781018540274722)*a + (8581592953038326562)/(6277890509270137361) , (63561399088563946)/(6277890509270137361)*a^(15) - (555499552036581145)/(12555781018540274722)*a^(14) + (595793186983773279)/(12555781018540274722)*a^(13) + (2815993660539316865)/(12555781018540274722)*a^(12) - (13865177097790195457)/(12555781018540274722)*a^(11) + (10110609250821292402)/(6277890509270137361)*a^(10) - (10710275682421838187)/(12555781018540274722)*a^(9) - (4876035178517052705)/(12555781018540274722)*a^(8) + (39388719690794370589)/(12555781018540274722)*a^(7) + (7607451342277748066)/(6277890509270137361)*a^(6) - (28102627183147826727)/(12555781018540274722)*a^(5) - (63405182748489378389)/(6277890509270137361)*a^(4) - (22701694353189485000)/(6277890509270137361)*a^(3) + (7232189514918230580)/(6277890509270137361)*a^(2) + (64308852583746763959)/(12555781018540274722)*a + (45883895005090234765)/(12555781018540274722) , (55399319788022111)/(6277890509270137361)*a^(15) - (257259346564616109)/(6277890509270137361)*a^(14) + (37404148152192091)/(738575354031780866)*a^(13) + (1159046914363213586)/(6277890509270137361)*a^(12) - (12634081571010671923)/(12555781018540274722)*a^(11) + (10229725473315079957)/(6277890509270137361)*a^(10) - (6871678576111161512)/(6277890509270137361)*a^(9) + (791500386395271041)/(12555781018540274722)*a^(8) + (15877452906568866655)/(6277890509270137361)*a^(7) + (9512260860864612775)/(12555781018540274722)*a^(6) - (32697762620044979271)/(12555781018540274722)*a^(5) - (57139116916324033684)/(6277890509270137361)*a^(4) - (12872210904759259353)/(6277890509270137361)*a^(3) + (11416031627114353018)/(6277890509270137361)*a^(2) + (35279954734190009343)/(6277890509270137361)*a + (29941299778433678813)/(12555781018540274722) , (142635922653546467)/(12555781018540274722)*a^(15) - (635414546645591415)/(12555781018540274722)*a^(14) + (700270138087433293)/(12555781018540274722)*a^(13) + (3175773948726097879)/(12555781018540274722)*a^(12) - (7961146141674670217)/(6277890509270137361)*a^(11) + (23708678284371011875)/(12555781018540274722)*a^(10) - (12205834743578090339)/(12555781018540274722)*a^(9) - (7587230899772590573)/(12555781018540274722)*a^(8) + (25030492551204826470)/(6277890509270137361)*a^(7) + (9815912268146015369)/(12555781018540274722)*a^(6) - (18177141319686337091)/(6277890509270137361)*a^(5) - (71301438246183892794)/(6277890509270137361)*a^(4) - (23239913792666438668)/(6277890509270137361)*a^(3) + (25851821087777932393)/(12555781018540274722)*a^(2) + (79247525552853824141)/(12555781018540274722)*a + (37335568351818985941)/(6277890509270137361) , (20253368245106553)/(12555781018540274722)*a^(15) - (89233046582747831)/(12555781018540274722)*a^(14) + (140116414191053127)/(12555781018540274722)*a^(13) + (273524506216809077)/(12555781018540274722)*a^(12) - (1019251319576565754)/(6277890509270137361)*a^(11) + (4208387213349480039)/(12555781018540274722)*a^(10) - (6308463239998664621)/(12555781018540274722)*a^(9) + (5826978662605995501)/(12555781018540274722)*a^(8) + (1161464907134764234)/(6277890509270137361)*a^(7) - (3076876916032777653)/(12555781018540274722)*a^(6) + (7208383643625703840)/(6277890509270137361)*a^(5) - (9809258210100759093)/(6277890509270137361)*a^(4) - (222965805921188440)/(369287677015890433)*a^(3) - (3665278471522937219)/(12555781018540274722)*a^(2) + (2848953011061799805)/(12555781018540274722)*a + (2382971885422286447)/(6277890509270137361) , (5325288592382659)/(12555781018540274722)*a^(15) + (3445656853414615)/(738575354031780866)*a^(14) - (269959172330565591)/(12555781018540274722)*a^(13) + (19251720351402881)/(738575354031780866)*a^(12) + (624214931355253289)/(6277890509270137361)*a^(11) - (6595007329263743735)/(12555781018540274722)*a^(10) + (457395251552870673)/(738575354031780866)*a^(9) - (4086643754573195809)/(12555781018540274722)*a^(8) - (731936098323117384)/(6277890509270137361)*a^(7) + (16547605804992343409)/(12555781018540274722)*a^(6) + (15764653085301488435)/(6277890509270137361)*a^(5) - (5734513716755779615)/(6277890509270137361)*a^(4) - (26009350867795500079)/(6277890509270137361)*a^(3) - (45813516173246811413)/(12555781018540274722)*a^(2) - (24701026128186023589)/(12555781018540274722)*a - (3591342682418686763)/(6277890509270137361) , (142639236052368033)/(12555781018540274722)*a^(15) - (308393045562553737)/(6277890509270137361)*a^(14) + (796231830003836957)/(12555781018540274722)*a^(13) + (1357072725855250297)/(6277890509270137361)*a^(12) - (7554180376607989352)/(6277890509270137361)*a^(11) + (25265812352044857325)/(12555781018540274722)*a^(10) - (11754557315581634180)/(6277890509270137361)*a^(9) + (6723899770149708017)/(12555781018540274722)*a^(8) + (32581839032404565699)/(12555781018540274722)*a^(7) + (4500458545199155120)/(6277890509270137361)*a^(6) - (1370369808214085425)/(6277890509270137361)*a^(5) - (50024921332665206777)/(6277890509270137361)*a^(4) - (113394513113815360)/(6277890509270137361)*a^(3) + (19067667049085863565)/(12555781018540274722)*a^(2) + (37578539195893157683)/(6277890509270137361)*a + (20115225656959963046)/(6277890509270137361) , (523270280553304385)/(12555781018540274722)*a^(15) - (2386422341334024299)/(12555781018540274722)*a^(14) + (2915245234563354837)/(12555781018540274722)*a^(13) + (10857252538684774377)/(12555781018540274722)*a^(12) - (29436631347051647419)/(6277890509270137361)*a^(11) + (95060814302046130663)/(12555781018540274722)*a^(10) - (66468489966096138341)/(12555781018540274722)*a^(9) + (247517040511225593)/(12555781018540274722)*a^(8) + (83958711022946635865)/(6277890509270137361)*a^(7) + (24610775348013412691)/(12555781018540274722)*a^(6) - (55713594417212810270)/(6277890509270137361)*a^(5) - (252710998806372291821)/(6277890509270137361)*a^(4) - (4887010159583896310)/(369287677015890433)*a^(3) - (2528698112893194419)/(12555781018540274722)*a^(2) + (252318411548705566409)/(12555781018540274722)*a + (120026286130126577834)/(6277890509270137361) ], 462901.867367, [[x^2 - x - 4, 1], [x^4 - x^3 - 6*x^2 + x + 1, 1], [x^8 - x^7 - 7*x^6 + 6*x^5 + 15*x^4 - 10*x^3 - 10*x^2 + 4*x + 1, 1]]]