/* 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 + 16*x^14 - 52*x^13 + 143*x^12 - 316*x^11 + 724*x^10 - 1252*x^9 + 2239*x^8 - 3192*x^7 + 4490*x^6 - 4468*x^5 + 5011*x^4 - 2840*x^3 + 1800*x^2 - 932*x + 3929, 16, 876, [0, 8], 191958112137556655079424, [2, 41, 97], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, a^12, 1/7*a^13 - 2/7*a^12 - 1/7*a^10 + 3/7*a^9 + 3/7*a^8 + 2/7*a^7 + 1/7*a^6 + 2/7*a^5 - 3/7*a^4 - 3/7*a^2 + 3/7*a + 2/7, 1/7*a^14 + 3/7*a^12 - 1/7*a^11 + 1/7*a^10 + 2/7*a^9 + 1/7*a^8 - 2/7*a^7 - 3/7*a^6 + 1/7*a^5 + 1/7*a^4 - 3/7*a^3 - 3/7*a^2 + 1/7*a - 3/7, 1/3046979802783252789594673*a^15 - 101741953892497233524668/3046979802783252789594673*a^14 + 156963360115484933397369/3046979802783252789594673*a^13 - 1296083619027279258418675/3046979802783252789594673*a^12 + 1502476542947771148290622/3046979802783252789594673*a^11 - 241706096849550636833224/3046979802783252789594673*a^10 + 9126945462400931485080/435282828969036112799239*a^9 - 452284697984597508045399/3046979802783252789594673*a^8 + 251578087072796206024566/3046979802783252789594673*a^7 - 941162178021143620759050/3046979802783252789594673*a^6 + 1515706449581269019867657/3046979802783252789594673*a^5 - 3503271531016163029910/11764400782946921967547*a^4 + 407129854899790638288451/3046979802783252789594673*a^3 + 41463844985953108208002/179234106046073693505569*a^2 - 120203501979669346840568/435282828969036112799239*a + 92707349353656217633528/3046979802783252789594673], 1, 24, [24], 1, [ (9542360140814233645)/(3046979802783252789594673)*a^(15) + (1722885855737837908463)/(3046979802783252789594673)*a^(14) - (8023960945255368667385)/(3046979802783252789594673)*a^(13) + (30642769797745516379935)/(3046979802783252789594673)*a^(12) - (13264777443703921772579)/(435282828969036112799239)*a^(11) + (244753120033838537785583)/(3046979802783252789594673)*a^(10) - (524804531019468509399255)/(3046979802783252789594673)*a^(9) + (1095471984712108648106281)/(3046979802783252789594673)*a^(8) - (1766104995231829103805397)/(3046979802783252789594673)*a^(7) + (420823711082998503581283)/(435282828969036112799239)*a^(6) - (3736091699850062764595226)/(3046979802783252789594673)*a^(5) + (114374999662829392004975)/(82350805480628453772829)*a^(4) - (3323957896660928948811758)/(3046979802783252789594673)*a^(3) + (100223231452429617114351)/(179234106046073693505569)*a^(2) + (1221239559437296781386352)/(3046979802783252789594673)*a + (760882276740445844002406)/(3046979802783252789594673) , (193189638953154357188)/(3046979802783252789594673)*a^(15) - (96789643917004772499)/(3046979802783252789594673)*a^(14) - (304126922569413048480)/(3046979802783252789594673)*a^(13) + (179165248336318310911)/(435282828969036112799239)*a^(12) - (9507223348249619835151)/(3046979802783252789594673)*a^(11) + (41118733494773285067040)/(3046979802783252789594673)*a^(10) - (10322431950053006783318)/(435282828969036112799239)*a^(9) + (208476163511349769076315)/(3046979802783252789594673)*a^(8) - (410942635491774057742358)/(3046979802783252789594673)*a^(7) + (590195020946439137142920)/(3046979802783252789594673)*a^(6) - (838311444219535234473250)/(3046979802783252789594673)*a^(5) + (36443287626588913391044)/(82350805480628453772829)*a^(4) - (54053110190948511453184)/(435282828969036112799239)*a^(3) - (21152529120210095778713)/(179234106046073693505569)*a^(2) - (894658266826360877750331)/(3046979802783252789594673)*a - (3805463742342667195594506)/(3046979802783252789594673) , (9542360140814233645)/(3046979802783252789594673)*a^(15) + (1722885855737837908463)/(3046979802783252789594673)*a^(14) - (8023960945255368667385)/(3046979802783252789594673)*a^(13) + (30642769797745516379935)/(3046979802783252789594673)*a^(12) - (13264777443703921772579)/(435282828969036112799239)*a^(11) + (244753120033838537785583)/(3046979802783252789594673)*a^(10) - (524804531019468509399255)/(3046979802783252789594673)*a^(9) + (1095471984712108648106281)/(3046979802783252789594673)*a^(8) - (1766104995231829103805397)/(3046979802783252789594673)*a^(7) + (420823711082998503581283)/(435282828969036112799239)*a^(6) - (3736091699850062764595226)/(3046979802783252789594673)*a^(5) + (114374999662829392004975)/(82350805480628453772829)*a^(4) - (3323957896660928948811758)/(3046979802783252789594673)*a^(3) + (100223231452429617114351)/(179234106046073693505569)*a^(2) + (1221239559437296781386352)/(3046979802783252789594673)*a - (2286097526042806945592267)/(3046979802783252789594673) , (66133515492252147537)/(3046979802783252789594673)*a^(15) - (162446706508829235062)/(435282828969036112799239)*a^(14) + (4560061717433181524468)/(3046979802783252789594673)*a^(13) - (17475279190814545839943)/(3046979802783252789594673)*a^(12) + (55246181095396910863149)/(3046979802783252789594673)*a^(11) - (20791820856358189417159)/(435282828969036112799239)*a^(10) + (45598764483184272307652)/(435282828969036112799239)*a^(9) - (682144162793979618821916)/(3046979802783252789594673)*a^(8) + (1153488610446631395443314)/(3046979802783252789594673)*a^(7) - (1882508052603175617316520)/(3046979802783252789594673)*a^(6) + (2519783572166953762717027)/(3046979802783252789594673)*a^(5) - (80494550139105679229614)/(82350805480628453772829)*a^(4) + (2264872065098766543669394)/(3046979802783252789594673)*a^(3) - (51823138756045687068526)/(179234106046073693505569)*a^(2) - (610162143743782058991357)/(3046979802783252789594673)*a + (3288163238295577589705910)/(3046979802783252789594673) , (471007432999668475)/(803740385856832706303)*a^(15) - (229975257018020405)/(114820055122404672329)*a^(14) + (6026106249173044227)/(803740385856832706303)*a^(13) - (18820089704878643219)/(803740385856832706303)*a^(12) + (50130543567760926369)/(803740385856832706303)*a^(11) - (102991286999466690929)/(803740385856832706303)*a^(10) + (240554271032547308519)/(803740385856832706303)*a^(9) - (388617542162985038798)/(803740385856832706303)*a^(8) + (709734727163513132801)/(803740385856832706303)*a^(7) - (938436103268028758139)/(803740385856832706303)*a^(6) + (1321192556729367178286)/(803740385856832706303)*a^(5) - (30202698141482866156)/(21722713131265748819)*a^(4) + (1263769373715513872260)/(803740385856832706303)*a^(3) - (454269260117850820743)/(803740385856832706303)*a^(2) - (43011792395708409376)/(114820055122404672329)*a + (621161021858755741533)/(803740385856832706303) , (521555107869677124515)/(3046979802783252789594673)*a^(15) - (15328913695323047290)/(3046979802783252789594673)*a^(14) + (3663206619095857151702)/(3046979802783252789594673)*a^(13) - (4219817517809376111358)/(3046979802783252789594673)*a^(12) + (1290460850140514440235)/(3046979802783252789594673)*a^(11) + (19539357533176235688459)/(3046979802783252789594673)*a^(10) - (14588883883015422862461)/(3046979802783252789594673)*a^(9) + (350521804601173686953345)/(3046979802783252789594673)*a^(8) - (157524548010362037653753)/(3046979802783252789594673)*a^(7) + (171897758076443889138964)/(435282828969036112799239)*a^(6) - (1138737010417609356977572)/(3046979802783252789594673)*a^(5) + (50621065528907696214022)/(82350805480628453772829)*a^(4) - (1364908877641973054720145)/(3046979802783252789594673)*a^(3) + (130318697058919282761143)/(179234106046073693505569)*a^(2) + (411602525863466068225606)/(435282828969036112799239)*a - (1526834771531508824771320)/(3046979802783252789594673) , (1857710638216109790784)/(3046979802783252789594673)*a^(15) - (2708937657664521939784)/(3046979802783252789594673)*a^(14) + (15986217525443256062635)/(3046979802783252789594673)*a^(13) - (39327878353545871383653)/(3046979802783252789594673)*a^(12) + (88561192767812334773085)/(3046979802783252789594673)*a^(11) - (144730779530097739075180)/(3046979802783252789594673)*a^(10) + (443679088177661368882592)/(3046979802783252789594673)*a^(9) - (173709741810496091982202)/(3046979802783252789594673)*a^(8) + (1207498457013370835638294)/(3046979802783252789594673)*a^(7) - (19177457281107319236305)/(435282828969036112799239)*a^(6) + (1288157828751879985400866)/(3046979802783252789594673)*a^(5) + (10422417861578249482481)/(82350805480628453772829)*a^(4) + (1347869572849653949461669)/(3046979802783252789594673)*a^(3) + (129012926256817285658957)/(179234106046073693505569)*a^(2) + (408288664418701901466573)/(435282828969036112799239)*a + (265052906954654425607500)/(3046979802783252789594673) ], 2873.19936942, [[x^2 - 2, 1], [x^4 - 2*x^3 - 3*x^2 + 2*x + 1, 1], [x^8 + 8*x^6 - 4*x^5 + 26*x^4 - 8*x^3 + 20*x^2 - 24*x + 28, 1], [x^8 - 4*x^7 + 14*x^5 - 8*x^4 - 12*x^3 + 7*x^2 + 2*x - 1, 1], [x^8 - 4*x^7 + 24*x^6 - 52*x^5 + 183*x^4 - 148*x^3 + 442*x^2 + 216*x + 641, 1]]]