/* 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^28 - 3*x^26 + 18*x^24 + 304*x^22 - 431*x^20 + 627*x^18 + 12915*x^16 - 6007*x^14 + 76379*x^12 - 24573*x^10 + 152173*x^8 - 11756*x^6 + 110547*x^4 - 8906*x^2 + 6241, 28, 2, [0, 14], 792537323068373529244880273632877655015215903801344, [2, 43], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, a^12, a^13, a^14, a^15, a^16, a^17, a^18, a^19, a^20, a^21, a^22, 1/79*a^23 - 26/79*a^21 - 10/79*a^19 - 17/79*a^17 - 21/79*a^15 - 19/79*a^13 + 33/79*a^11 - 7/79*a^9 + 29/79*a^7 - 2/79*a^5 + 2/79*a^3 + 36/79*a, 1/59824093*a^24 + 408957/59824093*a^22 + 1439751/8546299*a^20 + 1682122/8546299*a^18 - 6127419/59824093*a^16 - 23873345/59824093*a^14 - 27757328/59824093*a^12 + 14546737/59824093*a^10 + 16919459/59824093*a^8 + 25292559/59824093*a^6 - 15757338/59824093*a^4 - 28138816/59824093*a^2 + 32748/757267, 1/59824093*a^25 - 348310/59824093*a^23 + 4252457/8546299*a^21 + 2763932/8546299*a^19 + 6746120/59824093*a^17 - 7970738/59824093*a^15 - 13369255/59824093*a^13 - 10443074/59824093*a^11 + 22220328/59824093*a^9 + 3331816/59824093*a^7 - 14242804/59824093*a^5 - 29653350/59824093*a^3 - 24674520/59824093*a, 1/64484380879649266112000958051623*a^26 - 1846688766049374684735/256909883982666398852593458373*a^24 + 8116597678040179047644682410103/64484380879649266112000958051623*a^22 + 1835577246686412892805105628562/9212054411378466587428708293089*a^20 - 7521040500140867073950144623219/64484380879649266112000958051623*a^18 - 15620768505729586407761717743904/64484380879649266112000958051623*a^16 - 27329270793042973961807632781662/64484380879649266112000958051623*a^14 + 24844741773899302045492252878262/64484380879649266112000958051623*a^12 + 11988504890918784700348330870079/64484380879649266112000958051623*a^10 + 8157749178961277644332202332870/64484380879649266112000958051623*a^8 - 8437831942498158985693015813948/64484380879649266112000958051623*a^6 - 29553881544262952442842734858807/64484380879649266112000958051623*a^4 - 23116206775666946277684895206984/64484380879649266112000958051623*a^2 + 2225892109010122591415257427/10332379567320824565294176903, 1/64484380879649266112000958051623*a^27 - 1846688766049374684735/256909883982666398852593458373*a^25 - 45982180143272358937717343267/64484380879649266112000958051623*a^23 + 4517567771518118354967894118955/9212054411378466587428708293089*a^21 + 9620377202044380879872894858858/64484380879649266112000958051623*a^19 - 5825672675909444719862838039860/64484380879649266112000958051623*a^17 + 15116144469510973352420845935862/64484380879649266112000958051623*a^15 - 13519383559562919565445025962577/64484380879649266112000958051623*a^13 + 560893089461952731132971215361/64484380879649266112000958051623*a^11 + 811427306596171378408042554837/64484380879649266112000958051623*a^9 + 12784875688778814671421223544814/64484380879649266112000958051623*a^7 - 13228721827896049629677935352067/64484380879649266112000958051623*a^5 + 25043014387615417021151263337899/64484380879649266112000958051623*a^3 - 278779224350316596151138446999/816257985818345140658239975337*a], 1, 43, [43], 1, [ (76888352081610218960690610)/(9212054411378466587428708293089)*a^(26) - (351973700279761057120212436)/(9212054411378466587428708293089)*a^(24) + (1816677562982898839644220512)/(9212054411378466587428708293089)*a^(22) + (20377166186792356375735944024)/(9212054411378466587428708293089)*a^(20) - (67731825158943134408732344626)/(9212054411378466587428708293089)*a^(18) + (114456413113836419144523080650)/(9212054411378466587428708293089)*a^(16) + (686334783765836218831790574224)/(9212054411378466587428708293089)*a^(14) - (1940215353179487900783866350227)/(9212054411378466587428708293089)*a^(12) + (7996234480349653405477628589664)/(9212054411378466587428708293089)*a^(10) - (19883590654278518461428265281526)/(9212054411378466587428708293089)*a^(8) + (12359815865243058646367180086032)/(9212054411378466587428708293089)*a^(6) - (40389063083942538064741999588246)/(9212054411378466587428708293089)*a^(4) + (4029478811660254950275330798663)/(9212054411378466587428708293089)*a^(2) - (269894281943519899120427328)/(1476054223902974937899168129) , (47393886496559840326235434)/(9212054411378466587428708293089)*a^(26) - (212107200073004062389576814)/(9212054411378466587428708293089)*a^(24) + (988822760994568165089795836)/(9212054411378466587428708293089)*a^(22) + (13355839808495746389017585283)/(9212054411378466587428708293089)*a^(20) - (42847230456948658739168672807)/(9212054411378466587428708293089)*a^(18) + (36587385556612247754466666041)/(9212054411378466587428708293089)*a^(16) + (597726066429389273857349254446)/(9212054411378466587428708293089)*a^(14) - (1191883982279938653465920267291)/(9212054411378466587428708293089)*a^(12) + (2986511971759271737616613201135)/(9212054411378466587428708293089)*a^(10) - (6248755310162413455998080736978)/(9212054411378466587428708293089)*a^(8) + (4727075543175277332579685615675)/(9212054411378466587428708293089)*a^(6) - (11965957960840150361417594835691)/(9212054411378466587428708293089)*a^(4) + (1246129765894721654095350142359)/(9212054411378466587428708293089)*a^(2) - (1221042000067609777855021743)/(1476054223902974937899168129) , (236760291430019604975427076)/(9212054411378466587428708293089)*a^(26) + (37282032782697950709434187)/(9212054411378466587428708293089)*a^(24) + (1531563359109117472167276534)/(9212054411378466587428708293089)*a^(22) + (86223144136453450154076656231)/(9212054411378466587428708293089)*a^(20) + (118879750774069729411215317173)/(9212054411378466587428708293089)*a^(18) - (334493024578017406172323773969)/(9212054411378466587428708293089)*a^(16) + (3538451637968873135276399876465)/(9212054411378466587428708293089)*a^(14) + (8356557235735779559491778958900)/(9212054411378466587428708293089)*a^(12) + (6943076414941491048055451834305)/(9212054411378466587428708293089)*a^(10) + (45564672811460193325909034731187)/(9212054411378466587428708293089)*a^(8) - (10362870431124814760412659769600)/(9212054411378466587428708293089)*a^(6) + (80094880085891014251155429384791)/(9212054411378466587428708293089)*a^(4) - (7230076660463689156829710816510)/(9212054411378466587428708293089)*a^(2) + (43864359215485232280115465)/(1476054223902974937899168129) , (30330916363162751312863591)/(9212054411378466587428708293089)*a^(26) - (349849226914181519639044148)/(9212054411378466587428708293089)*a^(24) + (1404517260830096753078327297)/(9212054411378466587428708293089)*a^(22) + (4056580420913071052584250102)/(9212054411378466587428708293089)*a^(20) - (89997342370430035949701819663)/(9212054411378466587428708293089)*a^(18) + (153189340148843344283122503756)/(9212054411378466587428708293089)*a^(16) + (106218420688649546330591107424)/(9212054411378466587428708293089)*a^(14) - (3499500337736124871761906508688)/(9212054411378466587428708293089)*a^(12) + (5280951341808383889405537440050)/(9212054411378466587428708293089)*a^(10) - (24393632703610229506017550136633)/(9212054411378466587428708293089)*a^(8) + (12256881069204281674845489006112)/(9212054411378466587428708293089)*a^(6) - (46693673455479219566808750246440)/(9212054411378466587428708293089)*a^(4) + (4545980328054747680198755900065)/(9212054411378466587428708293089)*a^(2) - (13429125034638027155832415)/(3424719777037064821111759) , (215366249384052943275280415)/(9212054411378466587428708293089)*a^(26) - (472233135129882913807526116)/(9212054411378466587428708293089)*a^(24) + (2912590160320224393910759908)/(9212054411378466587428708293089)*a^(22) + (69731529549364607235093119548)/(9212054411378466587428708293089)*a^(20) - (46689871844386468305557803822)/(9212054411378466587428708293089)*a^(18) - (79955051204156784191120464563)/(9212054411378466587428708293089)*a^(16) + (3032192755323602368169048389636)/(9212054411378466587428708293089)*a^(14) + (960675504947962552569905608605)/(9212054411378466587428708293089)*a^(12) + (9241388986662141787090661536964)/(9212054411378466587428708293089)*a^(10) + (8232372555516431652272782788771)/(9212054411378466587428708293089)*a^(8) + (5170211580756588290411370220972)/(9212054411378466587428708293089)*a^(6) + (13161902149407121305022667046347)/(9212054411378466587428708293089)*a^(4) - (832100677146646100413647587377)/(9212054411378466587428708293089)*a^(2) - (3764401060134232559454590332)/(1476054223902974937899168129) , (17509646028783207652653616)/(9212054411378466587428708293089)*a^(26) - (665975447415284850853068041)/(9212054411378466587428708293089)*a^(24) + (2193341188370004026336365874)/(9212054411378466587428708293089)*a^(22) - (5542006143459492343556317388)/(9212054411378466587428708293089)*a^(20) - (194133392167898504514384981718)/(9212054411378466587428708293089)*a^(18) + (291268375383386520877333904182)/(9212054411378466587428708293089)*a^(16) - (84012006324261986995793062556)/(9212054411378466587428708293089)*a^(14) - (8109190496345357285185811852108)/(9212054411378466587428708293089)*a^(12) + (5468872535307043305118047705716)/(9212054411378466587428708293089)*a^(10) - (43729602291564514288446130736782)/(9212054411378466587428708293089)*a^(8) + (20081839430700534544613496731166)/(9212054411378466587428708293089)*a^(6) - (79962981453960459688875199607553)/(9212054411378466587428708293089)*a^(4) + (7726779874827064090640399061942)/(9212054411378466587428708293089)*a^(2) - (10044766146468465290896602068)/(1476054223902974937899168129) , (14571747081007383027344253774)/(64484380879649266112000958051623)*a^(27) + (4008835477685532372324396528)/(64484380879649266112000958051623)*a^(26) - (42691769024581790614727997702)/(64484380879649266112000958051623)*a^(25) - (14273091781307710707562081692)/(64484380879649266112000958051623)*a^(24) + (257938042436451611233649100107)/(64484380879649266112000958051623)*a^(23) + (80864749198771765875801765820)/(64484380879649266112000958051623)*a^(22) + (636130636658053323308195834303)/(9212054411378466587428708293089)*a^(21) + (167858388010816629611193415078)/(9212054411378466587428708293089)*a^(20) - (5993788517270646943478225081991)/(64484380879649266112000958051623)*a^(19) - (2386680597953129032310541138502)/(64484380879649266112000958051623)*a^(18) + (8313782964259444716352253739988)/(64484380879649266112000958051623)*a^(17) + (4132906306288968755545253243361)/(64484380879649266112000958051623)*a^(16) + (189665247974837356410827711535710)/(64484380879649266112000958051623)*a^(15) + (50278614888415977759669159712220)/(64484380879649266112000958051623)*a^(14) - (75177679807545442712337464615991)/(64484380879649266112000958051623)*a^(13) - (54063066638236954283513726221738)/(64484380879649266112000958051623)*a^(12) + (155593760681722856941750911072713)/(9212054411378466587428708293089)*a^(11) + (346670537462189636759790430753738)/(64484380879649266112000958051623)*a^(10) - (260765075283121478266344498750760)/(64484380879649266112000958051623)*a^(9) - (247114338586740408416168097610782)/(64484380879649266112000958051623)*a^(8) + (2105382299057341344334494524625061)/(64484380879649266112000958051623)*a^(7) + (760041205890037335685864649029150)/(64484380879649266112000958051623)*a^(6) + (22975121506352137200299117576066)/(64484380879649266112000958051623)*a^(5) - (285537796170465293315444540153866)/(64484380879649266112000958051623)*a^(4) + (1420328737573511428856531271492053)/(64484380879649266112000958051623)*a^(3) + (525799764781957156865063283997878)/(64484380879649266112000958051623)*a^(2) - (929325681190419378211973132628)/(816257985818345140658239975337)*a - (23526144501979326831417743953)/(10332379567320824565294176903) , (1602880353686193778887476669)/(64484380879649266112000958051623)*a^(27) - (7229119189738458339114445558)/(64484380879649266112000958051623)*a^(26) - (5681121122979042501980006)/(36701411997523771264656208339)*a^(25) + (3124232961552284758176128608)/(9212054411378466587428708293089)*a^(24) + (40801767470332984193719997968)/(64484380879649266112000958051623)*a^(23) - (128941520391635657877800407678)/(64484380879649266112000958051623)*a^(22) + (58057112497604403118204963826)/(9212054411378466587428708293089)*a^(21) - (314279093256986319713348422568)/(9212054411378466587428708293089)*a^(20) - (2330687846863088589099574289877)/(64484380879649266112000958051623)*a^(19) + (3200467712104366719076436257490)/(64484380879649266112000958051623)*a^(18) + (2169513625882115131520533383897)/(64484380879649266112000958051623)*a^(17) - (4086469924077064111409582923640)/(64484380879649266112000958051623)*a^(16) + (2786453839092459141522649416876)/(9212054411378466587428708293089)*a^(15) - (13450915721946101180984204034604)/(9212054411378466587428708293089)*a^(14) - (11272370340985089465456295910616)/(9212054411378466587428708293089)*a^(13) + (6581125790323703458391218771632)/(9212054411378466587428708293089)*a^(12) + (106913913628270007464715442501810)/(64484380879649266112000958051623)*a^(11) - (530736122361794070759013079187032)/(64484380879649266112000958051623)*a^(10) - (55584858711573684651164420978347)/(9212054411378466587428708293089)*a^(9) + (25285704398058506679299003961719)/(9212054411378466587428708293089)*a^(8) + (108078492779255724477559571778379)/(64484380879649266112000958051623)*a^(7) - (1009875677341440405863806060519400)/(64484380879649266112000958051623)*a^(6) - (93128964454033992213018516586451)/(9212054411378466587428708293089)*a^(5) + (2434025635441840272371420907430)/(9212054411378466587428708293089)*a^(4) - (118946084018132068570778387321320)/(64484380879649266112000958051623)*a^(3) - (667962629051174299594247810358378)/(64484380879649266112000958051623)*a^(2) - (5808582534188970309565070085252)/(816257985818345140658239975337)*a - (20923022423704567406139780005)/(10332379567320824565294176903) , (1656009483820129391481112694)/(64484380879649266112000958051623)*a^(27) + (3202623550539436205776353327)/(64484380879649266112000958051623)*a^(26) - (7871599088663478529012042213)/(64484380879649266112000958051623)*a^(25) - (8754705619369606222832082400)/(64484380879649266112000958051623)*a^(24) + (41761590215676979819726106098)/(64484380879649266112000958051623)*a^(23) + (54490367737176045614662791303)/(64484380879649266112000958051623)*a^(22) + (63565832881321540520252657501)/(9212054411378466587428708293089)*a^(21) + (141808978835031692815264927986)/(9212054411378466587428708293089)*a^(20) - (1552628348007725476801658644217)/(64484380879649266112000958051623)*a^(19) - (1137975323931341061600438135793)/(64484380879649266112000958051623)*a^(18) + (3346248415866512618765722475887)/(64484380879649266112000958051623)*a^(17) + (1487466367850431262160810074570)/(64484380879649266112000958051623)*a^(16) + (19184105562484922736451679242600)/(64484380879649266112000958051623)*a^(15) + (42747395066604736050639887709858)/(64484380879649266112000958051623)*a^(14) - 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