/* 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 - 5*x^15 + 11*x^14 - 13*x^13 - 16*x^12 + 111*x^11 - 221*x^10 + 79*x^9 + 149*x^8 - 585*x^7 + 1190*x^6 - 157*x^5 - 1075*x^4 + 997*x^3 - 255*x^2 - 294*x + 196, 16, 1537, [4, 6], 214501813959024741484449, [3, 17, 59], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, a^12, 1/3*a^13 + 1/3*a^12 + 1/3*a^11 - 1/3*a^10 - 1/3*a^9 - 1/3*a^8 + 1/3*a^7 + 1/3*a^6 - 1/3*a^2 - 1/3*a - 1/3, 1/3*a^14 + 1/3*a^11 - 1/3*a^8 - 1/3*a^6 - 1/3*a^3 + 1/3, 1/11137851193767962197254*a^15 + 711393892444587617953/11137851193767962197254*a^14 + 162269869890717392633/11137851193767962197254*a^13 + 1781457067951997389651/3712617064589320732418*a^12 - 51044103272012514998/1856308532294660366209*a^11 + 3794845202272654881427/11137851193767962197254*a^10 + 1166262511744809132767/3712617064589320732418*a^9 + 1717808965904999349329/3712617064589320732418*a^8 - 1143978412021197915629/11137851193767962197254*a^7 - 813681959385409528607/11137851193767962197254*a^6 - 93481412020136274436/265186933184951480887*a^5 - 997104320033084107813/11137851193767962197254*a^4 + 692092451212850960681/11137851193767962197254*a^3 - 101155569571031058521/11137851193767962197254*a^2 - 3468988004335310994925/11137851193767962197254*a - 231616996919392824896/795560799554854442661], 0, 1, [], 0, [ (5346151197569317369)/(11137851193767962197254)*a^(15) - (6309616004581513475)/(3712617064589320732418)*a^(14) + (13862735764958215091)/(11137851193767962197254)*a^(13) + (11240545488789229789)/(3712617064589320732418)*a^(12) - (97393285155375493217)/(5568925596883981098627)*a^(11) + (402784548800788827019)/(11137851193767962197254)*a^(10) + (12453070382900614393)/(3712617064589320732418)*a^(9) - (2095971298171454958479)/(11137851193767962197254)*a^(8) + (2042995902771366618403)/(11137851193767962197254)*a^(7) - (268159079930084419039)/(11137851193767962197254)*a^(6) - (33524528000849939584)/(265186933184951480887)*a^(5) + (16750753363697774885945)/(11137851193767962197254)*a^(4) - (4792875322270344854983)/(3712617064589320732418)*a^(3) - (8270415521216647861781)/(11137851193767962197254)*a^(2) + (10997324355678228340379)/(11137851193767962197254)*a - (566901558536803366192)/(795560799554854442661) , (3861199773438945353)/(11137851193767962197254)*a^(15) - (1699145780513597743)/(3712617064589320732418)*a^(14) - (45557430495531106427)/(11137851193767962197254)*a^(13) + (60278196654706445395)/(3712617064589320732418)*a^(12) - (200481239938679418085)/(5568925596883981098627)*a^(11) + (409253043268670747465)/(11137851193767962197254)*a^(10) + (276916211014586512771)/(3712617064589320732418)*a^(9) - (3997819384018115029459)/(11137851193767962197254)*a^(8) + (4140720403075398109925)/(11137851193767962197254)*a^(7) - (1240368405926666869529)/(11137851193767962197254)*a^(6) - (21588449882810972532)/(265186933184951480887)*a^(5) + (17915431941937016466397)/(11137851193767962197254)*a^(4) - (5935595969051576098723)/(3712617064589320732418)*a^(3) - (4433406798399459830143)/(11137851193767962197254)*a^(2) + (8479227285520124802583)/(11137851193767962197254)*a - (377295352251344424113)/(795560799554854442661) , (34254052932029025583)/(11137851193767962197254)*a^(15) - (194215313635193313593)/(11137851193767962197254)*a^(14) + (454622888159453997731)/(11137851193767962197254)*a^(13) - (169067838813457375193)/(3712617064589320732418)*a^(12) - (106225416846789195505)/(1856308532294660366209)*a^(11) + (4481609608011432083371)/(11137851193767962197254)*a^(10) - (3025885205335155437157)/(3712617064589320732418)*a^(9) + (941269765897759168795)/(3712617064589320732418)*a^(8) + (11997415237451210852533)/(11137851193767962197254)*a^(7) - (24238250015468282421473)/(11137851193767962197254)*a^(6) + (1001685108439395493944)/(265186933184951480887)*a^(5) - (8967525691361405085667)/(11137851193767962197254)*a^(4) - (80581851747571830799387)/(11137851193767962197254)*a^(3) + (61023492486245816016841)/(11137851193767962197254)*a^(2) + (30689078298155828509391)/(11137851193767962197254)*a - (2044435914632906484377)/(795560799554854442661) , (12568134694690267912)/(5568925596883981098627)*a^(15) - (19242981330073099047)/(1856308532294660366209)*a^(14) + (109721885250142352972)/(5568925596883981098627)*a^(13) - (30274466817411000664)/(1856308532294660366209)*a^(12) - (306374188024008542995)/(5568925596883981098627)*a^(11) + (1371106965385447326790)/(5568925596883981098627)*a^(10) - (740098480715047159179)/(1856308532294660366209)*a^(9) - (436770823237286261279)/(5568925596883981098627)*a^(8) + (2917148354054229373726)/(5568925596883981098627)*a^(7) - (6930019736197014701896)/(5568925596883981098627)*a^(6) + (595177319372299569290)/(265186933184951480887)*a^(5) + (5908276971256879697675)/(5568925596883981098627)*a^(4) - (5395450125567896268173)/(1856308532294660366209)*a^(3) + (8251376536227368560792)/(5568925596883981098627)*a^(2) + (1899860389495709721305)/(5568925596883981098627)*a - (794477927673284543795)/(795560799554854442661) , (7860104705242636729)/(3712617064589320732418)*a^(15) - (119176814222277136739)/(11137851193767962197254)*a^(14) + (271675816023799462189)/(11137851193767962197254)*a^(13) - (379003616078429047283)/(11137851193767962197254)*a^(12) - (93682733520909386171)/(5568925596883981098627)*a^(11) + (2332586062222033093025)/(11137851193767962197254)*a^(10) - (5061495060292484956693)/(11137851193767962197254)*a^(9) + (2652479193508555231141)/(11137851193767962197254)*a^(8) + (1201753941137806299025)/(11137851193767962197254)*a^(7) - (3471439502207683573949)/(3712617064589320732418)*a^(6) + (665174838597763533960)/(265186933184951480887)*a^(5) - (496034158460394555599)/(3712617064589320732418)*a^(4) - (11908071340028094803689)/(11137851193767962197254)*a^(3) + (21523434782094475750613)/(11137851193767962197254)*a^(2) - (5755009649316287834707)/(11137851193767962197254)*a - (126633750661960947746)/(265186933184951480887) , (10568031443376499830)/(1856308532294660366209)*a^(15) - (132950157789191532086)/(5568925596883981098627)*a^(14) + (70699146599130292507)/(1856308532294660366209)*a^(13) - (29384806667899429562)/(1856308532294660366209)*a^(12) - (939925843756118129873)/(5568925596883981098627)*a^(11) + (1085743153237889669359)/(1856308532294660366209)*a^(10) - (1372350986164490706939)/(1856308532294660366209)*a^(9) - (4008570329928546565669)/(5568925596883981098627)*a^(8) + (2954375780010596390791)/(1856308532294660366209)*a^(7) - (16534140891618386611009)/(5568925596883981098627)*a^(6) + (1157456294669019181551)/(265186933184951480887)*a^(5) + (9613225897694984662186)/(1856308532294660366209)*a^(4) - (49520134647927432632368)/(5568925596883981098627)*a^(3) + (4155255391986814370397)/(1856308532294660366209)*a^(2) + (3136373275536216451839)/(1856308532294660366209)*a - (1522469612995652079491)/(795560799554854442661) , (30256740922886296211)/(11137851193767962197254)*a^(15) - (191843654681078305687)/(11137851193767962197254)*a^(14) + (549596993353079190845)/(11137851193767962197254)*a^(13) - (1029887020744656623723)/(11137851193767962197254)*a^(12) + (402866223722035759265)/(5568925596883981098627)*a^(11) + (2180995360296355513693)/(11137851193767962197254)*a^(10) - (8316973674626126235415)/(11137851193767962197254)*a^(9) + (10828189884377592732413)/(11137851193767962197254)*a^(8) - (2624637616573695067223)/(3712617064589320732418)*a^(7) - (195241298306032778519)/(3712617064589320732418)*a^(6) + (898456828941248331735)/(265186933184951480887)*a^(5) - (28177565337299171225225)/(11137851193767962197254)*a^(4) + (6469910820041706525463)/(11137851193767962197254)*a^(3) + (4417807125656832515611)/(11137851193767962197254)*a^(2) - (2379231970011127306475)/(3712617064589320732418)*a + (75907076152602250648)/(265186933184951480887) , (7026202429750476677)/(3712617064589320732418)*a^(15) - (22415062073580841207)/(3712617064589320732418)*a^(14) + (53244116696731921811)/(11137851193767962197254)*a^(13) + (108339710327159877077)/(11137851193767962197254)*a^(12) - (409331806327259238494)/(5568925596883981098627)*a^(11) + (1867538010623335060009)/(11137851193767962197254)*a^(10) - (1169743074059379047939)/(11137851193767962197254)*a^(9) - (5251684132757958726983)/(11137851193767962197254)*a^(8) + (5182243653002523543977)/(11137851193767962197254)*a^(7) - (10457502225189406258645)/(11137851193767962197254)*a^(6) + (188547376637289334633)/(265186933184951480887)*a^(5) + (10128025417236982371437)/(3712617064589320732418)*a^(4) - (6882119726085669544415)/(3712617064589320732418)*a^(3) - (87017796902048059709)/(11137851193767962197254)*a^(2) + (13911481493654062940983)/(11137851193767962197254)*a - (619304442563936668024)/(795560799554854442661) , (31162196143180273548)/(1856308532294660366209)*a^(15) - (385405554381858759979)/(5568925596883981098627)*a^(14) + (654636096752541266323)/(5568925596883981098627)*a^(13) - (459648156457302572168)/(5568925596883981098627)*a^(12) - (781794684795822758247)/(1856308532294660366209)*a^(11) + (9060349253894944761689)/(5568925596883981098627)*a^(10) - (12981055320395133130399)/(5568925596883981098627)*a^(9) - (2075490172496404609969)/(1856308532294660366209)*a^(8) + (14417581401859739846128)/(5568925596883981098627)*a^(7) - (45848917796500999314619)/(5568925596883981098627)*a^(6) + (3546567364646829918539)/(265186933184951480887)*a^(5) + (18392137406869417534696)/(1856308532294660366209)*a^(4) - (74157036758826699764144)/(5568925596883981098627)*a^(3) + (25289739283974568064009)/(5568925596883981098627)*a^(2) + (16830466879024212707204)/(5568925596883981098627)*a - (2088303025066941734255)/(795560799554854442661) ], 587247.177306, [[x^4 - 11*x^2 - 15*x - 3, 1], [x^8 - 4*x^7 - 2*x^6 + 20*x^5 - 10*x^4 - 18*x^3 + 10*x^2 + 3*x - 1, 1], [x^8 - x^7 + 3*x^6 - 23*x^5 + 29*x^4 - 28*x^3 + 62*x^2 - 108*x + 137, 1], [x^8 - x^7 - x^6 - 12*x^4 - 9*x^2 - 27*x + 81, 1]]]