/* 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 + 4*x^14 + 15*x^13 + 6*x^12 - 118*x^11 + 317*x^10 - 460*x^9 + 1614*x^8 - 2361*x^7 + 2820*x^6 - 2374*x^5 + 4393*x^4 + 3912*x^3 + 10208*x^2 + 8568*x + 2448, 16, 13, [0, 8], 166101760110563345913601, [17, 47], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, 1/3*a^8 - 1/3*a^7 + 1/3*a^6 - 1/3*a^5 + 1/3*a^4 - 1/3*a^3 + 1/3*a^2 - 1/3*a, 1/3*a^9 - 1/3*a, 1/3*a^10 - 1/3*a^2, 1/3*a^11 - 1/3*a^3, 1/21*a^12 + 1/7*a^10 - 1/7*a^9 + 1/7*a^8 + 1/7*a^7 - 1/7*a^6 - 2/7*a^5 - 1/21*a^4 - 1/7*a^2 - 2/7*a + 2/7, 1/42*a^13 - 2/21*a^11 - 1/14*a^10 - 2/21*a^9 - 2/21*a^8 - 17/42*a^7 + 4/21*a^6 + 1/7*a^5 - 1/6*a^4 - 5/21*a^3 + 4/21*a^2 - 1/42*a, 1/12852*a^14 - 22/3213*a^13 - 1/1071*a^12 + 1147/12852*a^11 + 17/126*a^10 + 263/6426*a^9 + 605/12852*a^8 - 1499/3213*a^7 - 505/6426*a^6 - 6241/12852*a^5 - 1096/3213*a^4 - 1/14*a^3 - 835/12852*a^2 + 1/21*a - 2/21, 1/341958420941083175174904*a^15 + 1158000470252821123/56993070156847195862484*a^14 - 17756938038279349981/2310529871223534967398*a^13 - 5023662135941811290633/341958420941083175174904*a^12 - 3367948612100121423067/42744802617635396896863*a^11 - 10887227512069868189221/170979210470541587587452*a^10 - 463607041132966764295/37995380104564797241656*a^9 + 9419766270793172164723/56993070156847195862484*a^8 - 46522686423373749418685/170979210470541587587452*a^7 - 2865822335855207978975/6705067077276140689704*a^6 - 5027847963849906012115/24425601495791655369636*a^5 + 75024191621151657677077/170979210470541587587452*a^4 - 132815607763620815528083/341958420941083175174904*a^3 + 68070631551445772387959/170979210470541587587452*a^2 - 114885739708574052928/279377794886505862071*a - 99404019747569416300/279377794886505862071], 0, 10, [10], 1, [ (5389143671017339217)/(170979210470541587587452)*a^(15) - (34672680005992623149)/(170979210470541587587452)*a^(14) + (271008000830050525)/(770176623741178322466)*a^(13) + (123284130867144516083)/(170979210470541587587452)*a^(12) - (33711131463735928309)/(18997690052282398620828)*a^(11) - (535493599522946138693)/(85489605235270793793726)*a^(10) + (3889033786427922975235)/(170979210470541587587452)*a^(9) - (3184895446911698030509)/(170979210470541587587452)*a^(8) + (1662528426233578746428)/(42744802617635396896863)*a^(7) - (26177359589011946429099)/(170979210470541587587452)*a^(6) + (22082556624381272641441)/(170979210470541587587452)*a^(5) + (2272863127445087274478)/(14248267539211798965621)*a^(4) + (32685638188988134355695)/(170979210470541587587452)*a^(3) - (12187358547605267545199)/(56993070156847195862484)*a^(2) - (223093740319210834991)/(558755589773011724142)*a + (6341840528339836893)/(93125931628835287357) , (48369350781127955)/(568037244088178031852)*a^(15) - (2021720910639371635)/(3976260708617246222964)*a^(14) + (25229367283473446)/(26866626409575987993)*a^(13) + (337688280264816883)/(233897688742190954292)*a^(12) - (18349497271560238271)/(3976260708617246222964)*a^(11) - (10286266463408285170)/(994065177154311555741)*a^(10) + (231091960358399235083)/(3976260708617246222964)*a^(9) - (348601460246647794407)/(3976260708617246222964)*a^(8) + (8277069982345687365)/(73634457566986041166)*a^(7) - (955731998979666138403)/(3976260708617246222964)*a^(6) + (424998858510915342557)/(1325420236205748740988)*a^(5) + (233362801904384787991)/(1988130354308623111482)*a^(4) - (175393492086427551383)/(568037244088178031852)*a^(3) - (378507681649450554787)/(3976260708617246222964)*a^(2) + (468140420426703487)/(6497158020616415397)*a + (8605754849468700829)/(6497158020616415397) , (3059021719474486468)/(14248267539211798965621)*a^(15) - (147887459824172141015)/(170979210470541587587452)*a^(14) + (139859832482405917)/(330075695889076423914)*a^(13) + (26857554068889147358)/(4749422513070599655207)*a^(12) - (576255174139128271205)/(170979210470541587587452)*a^(11) - (142374145060293940333)/(4749422513070599655207)*a^(10) + (6732136547187945315383)/(85489605235270793793726)*a^(9) - (8737113662511072562015)/(170979210470541587587452)*a^(8) + (9812783342408890276397)/(85489605235270793793726)*a^(7) - (1021719295768237696471)/(12212800747895827684818)*a^(6) - (62613270922499342176177)/(170979210470541587587452)*a^(5) + (113538316355993814803269)/(85489605235270793793726)*a^(4) - (43488933027653541111659)/(28496535078423597931242)*a^(3) + (60830719936430644101551)/(24425601495791655369636)*a^(2) + (344754845922695246231)/(558755589773011724142)*a + (3182316326983198453)/(279377794886505862071) , (702622880077331785)/(56993070156847195862484)*a^(15) + (166358736709802508)/(1583140837690199885069)*a^(14) - (294756906200313035)/(770176623741178322466)*a^(13) - (19274105554525941869)/(56993070156847195862484)*a^(12) + (131388746451809223863)/(28496535078423597931242)*a^(11) + (29103497945109734605)/(14248267539211798965621)*a^(10) - (25305804287950689401)/(1117511179546023448284)*a^(9) + (80231991454952390836)/(4749422513070599655207)*a^(8) + (1005231550372309157636)/(14248267539211798965621)*a^(7) + (298874167939028091927)/(6332563350760799540276)*a^(6) - (33747425680933338053)/(2035466791315971280803)*a^(5) - (6830328890304726310396)/(14248267539211798965621)*a^(4) + (47356459903068909441089)/(56993070156847195862484)*a^(3) + (5853859836140403258020)/(14248267539211798965621)*a^(2) + (574914800715898694921)/(558755589773011724142)*a + (18696969628711154316)/(93125931628835287357) , (1167919956616181539)/(6705067077276140689704)*a^(15) - (625242473247916093)/(1676266769319035172426)*a^(14) - (5641742684722355)/(5033834142099204722)*a^(13) + (40646373750279693877)/(6705067077276140689704)*a^(12) + (4637747437491290315)/(1117511179546023448284)*a^(11) - (95850588650840228281)/(3352533538638070344852)*a^(10) + (112529194115644711247)/(6705067077276140689704)*a^(9) + (22842074406125665309)/(239466681331290738918)*a^(8) - (119996652834554831695)/(3352533538638070344852)*a^(7) + (1886484018965983583861)/(6705067077276140689704)*a^(6) - (1604795812356768007255)/(1676266769319035172426)*a^(5) + (270912095632667826691)/(159644454220860492612)*a^(4) - (5881266598401268161085)/(6705067077276140689704)*a^(3) + (168621009238369046090)/(93125931628835287357)*a^(2) + (37978330797701275069)/(13303704518405041051)*a + (113976280908751064404)/(93125931628835287357) , (53947984055894579)/(568037244088178031852)*a^(15) - (1307022086684815411)/(3976260708617246222964)*a^(14) + (2520824127081206)/(26866626409575987993)*a^(13) + (7649685844766034659)/(3976260708617246222964)*a^(12) + (3221513608883056993)/(3976260708617246222964)*a^(11) - (11400501631402069279)/(994065177154311555741)*a^(10) + (97790039175418740971)/(3976260708617246222964)*a^(9) - (92985344745317407415)/(3976260708617246222964)*a^(8) + (6705041241413928409)/(73634457566986041166)*a^(7) - (289004023577083709179)/(3976260708617246222964)*a^(6) + (35285680416063429185)/(1325420236205748740988)*a^(5) + (248227449914448086011)/(1988130354308623111482)*a^(4) - (60017975974077018071)/(568037244088178031852)*a^(3) + (2948468998886816645501)/(3976260708617246222964)*a^(2) + (1621110179277733429)/(2165719340205471799)*a + (6940382268833623690)/(6497158020616415397) , (293149877006839205)/(1356977860877314187202)*a^(15) - (20819892292966175609)/(24425601495791655369636)*a^(14) + (2214812612872526053)/(2310529871223534967398)*a^(13) + (4920929859208461701)/(1676266769319035172426)*a^(12) + (254182290076448162719)/(170979210470541587587452)*a^(11) - (337240473062741548672)/(14248267539211798965621)*a^(10) + (3051981127257956588110)/(42744802617635396896863)*a^(9) - (18314355521349333814591)/(170979210470541587587452)*a^(8) + (31422057755988439285061)/(85489605235270793793726)*a^(7) - (22419779556046722828455)/(42744802617635396896863)*a^(6) + (128298371232065962736567)/(170979210470541587587452)*a^(5) - (56196463510170015358727)/(85489605235270793793726)*a^(4) + (5886350893413186633770)/(4749422513070599655207)*a^(3) + (61793579798455671374057)/(170979210470541587587452)*a^(2) + (410169472639734618023)/(186251863257670574714)*a + (312626050078591535812)/(279377794886505862071) ], 25496.198852, [[x^2 - x + 200, 1], [x^2 - x - 4, 1], [x^2 - x + 12, 1], [x^4 + 15*x^2 + 256, 1], [x^4 - 2*x^3 + 9*x^2 - 8*x - 1, 2], [x^4 - x^3 + 10*x^2 + x + 1, 2], [x^8 - x^6 - 30*x^5 + 247*x^4 - 784*x^3 + 1400*x^2 - 1504*x + 752, 1], [x^8 - x^7 + 2*x^6 + x^5 - 15*x^4 + 23*x^3 + 6*x^2 - 27*x + 19, 4], [x^8 - x^7 + 8*x^6 - 9*x^5 + 29*x^4 - 23*x^3 + 50*x^2 - 25*x + 51, 4]]]