/* 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 - 4*x^14 + 34*x^13 - 41*x^12 - 88*x^11 + 294*x^10 - 134*x^9 - 434*x^8 + 480*x^7 - 60*x^6 - 80*x^5 + 170*x^4 - 300*x^3 + 50*x^2 + 150*x + 25, 16, 797, [8, 4], 3251736576000000000000, [2, 3, 5, 11], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, 1/5*a^12 - 2/5*a^11 + 1/5*a^10 - 1/5*a^9 - 1/5*a^8 + 2/5*a^7 - 1/5*a^6 + 1/5*a^5 + 1/5*a^4, 1/5*a^13 + 2/5*a^11 + 1/5*a^10 + 2/5*a^9 - 2/5*a^7 - 1/5*a^6 - 2/5*a^5 + 2/5*a^4, 1/5*a^14 + 2/5*a^9 - 2/5*a^4, 1/8017848344215207945*a^15 + 9628132803820060/1603569668843041589*a^14 + 78996214508948893/1603569668843041589*a^13 + 576207996843619928/8017848344215207945*a^12 + 1265362936575019649/8017848344215207945*a^11 - 633562836891952027/1603569668843041589*a^10 - 3662585178439682803/8017848344215207945*a^9 - 3563991534682520588/8017848344215207945*a^8 - 1288230046706163934/8017848344215207945*a^7 + 1872501547501180607/8017848344215207945*a^6 + 3926355898339326911/8017848344215207945*a^5 - 8094263632828628/90088183642867505*a^4 + 151540998955503036/1603569668843041589*a^3 + 479256857760161610/1603569668843041589*a^2 + 243129916270678962/1603569668843041589*a - 234144849083579260/1603569668843041589], 0, 1, [], 1, [ (2683979334)/(631404647095)*a^(15) - (383744352)/(631404647095)*a^(14) - (18178836558)/(631404647095)*a^(13) + (73376301297)/(631404647095)*a^(12) + (8367483728)/(126280929419)*a^(11) - (389679592008)/(631404647095)*a^(10) + (455420977208)/(631404647095)*a^(9) + (784015326748)/(631404647095)*a^(8) - (357057032214)/(126280929419)*a^(7) + (222284978506)/(631404647095)*a^(6) + (283211219756)/(126280929419)*a^(5) - (363391765111)/(126280929419)*a^(4) + (181739665020)/(126280929419)*a^(3) - (22438409660)/(126280929419)*a^(2) - (140799300080)/(126280929419)*a + (179524099257)/(126280929419) , (101930715708878056)/(8017848344215207945)*a^(15) - (244435897548985443)/(8017848344215207945)*a^(14) - (256818938462416222)/(8017848344215207945)*a^(13) + (3500147760751387659)/(8017848344215207945)*a^(12) - (5826252288645392147)/(8017848344215207945)*a^(11) - (5043674242257079706)/(8017848344215207945)*a^(10) + (30889302523415577171)/(8017848344215207945)*a^(9) - (31047783533737801174)/(8017848344215207945)*a^(8) - (20414160621455313298)/(8017848344215207945)*a^(7) + (56638690372356890528)/(8017848344215207945)*a^(6) - (47870050932813157414)/(8017848344215207945)*a^(5) + (231548569240990459)/(90088183642867505)*a^(4) + (1002656347452066557)/(1603569668843041589)*a^(3) - (6491346260473803219)/(1603569668843041589)*a^(2) + (4747137359289634894)/(1603569668843041589)*a - (123112282176682958)/(1603569668843041589) , (179458870720077158)/(8017848344215207945)*a^(15) - (422865656859833876)/(8017848344215207945)*a^(14) - (572677897169492018)/(8017848344215207945)*a^(13) + (6304948123186625783)/(8017848344215207945)*a^(12) - (9562479209468841257)/(8017848344215207945)*a^(11) - (12535100515321240539)/(8017848344215207945)*a^(10) + (57089107283526376114)/(8017848344215207945)*a^(9) - (43452510224524739203)/(8017848344215207945)*a^(8) - (63407261526483094133)/(8017848344215207945)*a^(7) + (21293791975727656180)/(1603569668843041589)*a^(6) - (43676184898018505162)/(8017848344215207945)*a^(5) - (5440020783024359)/(90088183642867505)*a^(4) + (4578762267019823527)/(1603569668843041589)*a^(3) - (10660390110879942762)/(1603569668843041589)*a^(2) + (5312890831055972327)/(1603569668843041589)*a + (2153269851247425998)/(1603569668843041589) , (213541197098302112)/(8017848344215207945)*a^(15) - (427738608035345588)/(8017848344215207945)*a^(14) - (803520598861532516)/(8017848344215207945)*a^(13) + (1447342404448358158)/(1603569668843041589)*a^(12) - (9031209635650687417)/(8017848344215207945)*a^(11) - (17483419926542979987)/(8017848344215207945)*a^(10) + (62872239138554736762)/(8017848344215207945)*a^(9) - (6699349138974561363)/(1603569668843041589)*a^(8) - (86077581959654375303)/(8017848344215207945)*a^(7) + (109291630340533204986)/(8017848344215207945)*a^(6) - (25694494235531490982)/(8017848344215207945)*a^(5) - (264681889054386204)/(90088183642867505)*a^(4) + (6886570863239407147)/(1603569668843041589)*a^(3) - (10945322707697186222)/(1603569668843041589)*a^(2) + (3524960634141797847)/(1603569668843041589)*a + (2829374569656550176)/(1603569668843041589) , (101930715708878056)/(8017848344215207945)*a^(15) - (244435897548985443)/(8017848344215207945)*a^(14) - (256818938462416222)/(8017848344215207945)*a^(13) + (3500147760751387659)/(8017848344215207945)*a^(12) - (5826252288645392147)/(8017848344215207945)*a^(11) - (5043674242257079706)/(8017848344215207945)*a^(10) + (30889302523415577171)/(8017848344215207945)*a^(9) - (31047783533737801174)/(8017848344215207945)*a^(8) - (20414160621455313298)/(8017848344215207945)*a^(7) + (56638690372356890528)/(8017848344215207945)*a^(6) - (47870050932813157414)/(8017848344215207945)*a^(5) + (231548569240990459)/(90088183642867505)*a^(4) + (1002656347452066557)/(1603569668843041589)*a^(3) - (6491346260473803219)/(1603569668843041589)*a^(2) + (4747137359289634894)/(1603569668843041589)*a - (1726681951019724547)/(1603569668843041589) , (25913120317619071)/(1603569668843041589)*a^(15) - (263701591832871856)/(8017848344215207945)*a^(14) - (512849919352219481)/(8017848344215207945)*a^(13) + (4415078856836751164)/(8017848344215207945)*a^(12) - (1085032530494321415)/(1603569668843041589)*a^(11) - (11244207860727412582)/(8017848344215207945)*a^(10) + (38143192466174981067)/(8017848344215207945)*a^(9) - (18029934190349519179)/(8017848344215207945)*a^(8) - (10909349322527048121)/(1603569668843041589)*a^(7) + (61216157781807431707)/(8017848344215207945)*a^(6) - (10365754663957363214)/(8017848344215207945)*a^(5) - (19717299609363559)/(90088183642867505)*a^(4) + (4893719196690731257)/(1603569668843041589)*a^(3) - (9376647802124211106)/(1603569668843041589)*a^(2) + (577854926304621574)/(1603569668843041589)*a + (5304914458847468182)/(1603569668843041589) , (71081670124984466)/(8017848344215207945)*a^(15) - (280697602426055319)/(8017848344215207945)*a^(14) - (115734704822281663)/(8017848344215207945)*a^(13) + (3005636729233632974)/(8017848344215207945)*a^(12) - (7025686741310441709)/(8017848344215207945)*a^(11) - (3337777201534037427)/(8017848344215207945)*a^(10) + (32340804977943835237)/(8017848344215207945)*a^(9) - (39048216338889254989)/(8017848344215207945)*a^(8) - (25827183722914975101)/(8017848344215207945)*a^(7) + (75261043011742487789)/(8017848344215207945)*a^(6) - (38764866036517236917)/(8017848344215207945)*a^(5) + (194046130892120979)/(90088183642867505)*a^(4) + (3495093037564679782)/(1603569668843041589)*a^(3) - (10249069170367015128)/(1603569668843041589)*a^(2) + (6121705884592568557)/(1603569668843041589)*a + (3009033226008488204)/(1603569668843041589) , (84034951283962738)/(8017848344215207945)*a^(15) - (272698769321093798)/(8017848344215207945)*a^(14) - (105114514457628958)/(8017848344215207945)*a^(13) + (3211032658718513142)/(8017848344215207945)*a^(12) - (1420424604821558434)/(1603569668843041589)*a^(11) - (450307711295703105)/(1603569668843041589)*a^(10) + (32560751837424174321)/(8017848344215207945)*a^(9) - (44449602876705361027)/(8017848344215207945)*a^(8) - (2844843918944230891)/(1603569668843041589)*a^(7) + (81240212495962607556)/(8017848344215207945)*a^(6) - (68136049256938734388)/(8017848344215207945)*a^(5) + (129999581517439173)/(90088183642867505)*a^(4) + (4647404447749395590)/(1603569668843041589)*a^(3) - (6296136538380993860)/(1603569668843041589)*a^(2) + (6776212699517606756)/(1603569668843041589)*a - (632706559836113515)/(1603569668843041589) , (225235473919399)/(131440136790413245)*a^(15) - (320169923813055)/(26288027358082649)*a^(14) + (104000365595582)/(131440136790413245)*a^(13) + (12721008269842792)/(131440136790413245)*a^(12) - (8457991505320070)/(26288027358082649)*a^(11) - (5532643570898003)/(131440136790413245)*a^(10) + (163346911922466912)/(131440136790413245)*a^(9) - (259602812907075717)/(131440136790413245)*a^(8) - (22140632812226075)/(26288027358082649)*a^(7) + (439207438337745776)/(131440136790413245)*a^(6) - (53978163674776164)/(26288027358082649)*a^(5) + (1238256464475869)/(1476855469555205)*a^(4) + (18090236058655900)/(26288027358082649)*a^(3) - (25672775224113891)/(26288027358082649)*a^(2) + (37699832144854130)/(26288027358082649)*a + (13757768672644548)/(26288027358082649) , (299223401145237777)/(8017848344215207945)*a^(15) - (617745112220845271)/(8017848344215207945)*a^(14) - (1148493490194365433)/(8017848344215207945)*a^(13) + (10314564446387304023)/(8017848344215207945)*a^(12) - (13147052615874747642)/(8017848344215207945)*a^(11) - (25410476226257773811)/(8017848344215207945)*a^(10) + (91975164093209304664)/(8017848344215207945)*a^(9) - (50853499975518190298)/(8017848344215207945)*a^(8) - (128070498906939905798)/(8017848344215207945)*a^(7) + (34457641045182206885)/(1603569668843041589)*a^(6) - (10337803128460504773)/(1603569668843041589)*a^(5) - (338316496503916509)/(90088183642867505)*a^(4) + (15953135999426072962)/(1603569668843041589)*a^(3) - (24239716322495779171)/(1603569668843041589)*a^(2) + (8036467640050200429)/(1603569668843041589)*a + (6115179824197828865)/(1603569668843041589) , (404098249331525493)/(8017848344215207945)*a^(15) - (733364379422364137)/(8017848344215207945)*a^(14) - (1603776673697777426)/(8017848344215207945)*a^(13) + (13267425532072334259)/(8017848344215207945)*a^(12) - (2945831469484288193)/(1603569668843041589)*a^(11) - (33892235885773968536)/(8017848344215207945)*a^(10) + (21916777616633332215)/(1603569668843041589)*a^(9) - (45878872645694943504)/(8017848344215207945)*a^(8) - (30516715345648509608)/(1603569668843041589)*a^(7) + (162699078983781748062)/(8017848344215207945)*a^(6) - (7524961896718610746)/(1603569668843041589)*a^(5) - (77366355093277686)/(90088183642867505)*a^(4) + (11184749296770226221)/(1603569668843041589)*a^(3) - (22879620760166738239)/(1603569668843041589)*a^(2) + (3022553357870099148)/(1603569668843041589)*a + (5748813461414237127)/(1603569668843041589) ], 51814.529161, [[x^2 - x - 1, 1], [x^2 - 3, 1], [x^2 - 15, 1], [x^4 - x^3 - 4*x^2 + 4*x + 1, 1], [x^4 - 5*x^2 + 5, 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]]]