/* 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^17 - 2*x^16 - 3*x^14 + 24*x^13 + 18*x^12 - 138*x^10 - 203*x^9 - 75*x^8 + 352*x^7 + 588*x^6 + 384*x^5 + 132*x^4 + 493*x^3 + 1015*x^2 + 874*x + 337, 17, 2, [1, 8], 34895459505131153638432321, [1559], [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, 1/443*a^15 - 22/443*a^14 + 5/443*a^13 + 164/443*a^12 - 115/443*a^11 + 86/443*a^10 + 18/443*a^9 + 190/443*a^8 + 128/443*a^7 + 214/443*a^6 + 197/443*a^5 + 132/443*a^4 + 206/443*a^3 + 169/443*a^2 + 90/443*a + 124/443, 1/6248448141901847587*a^16 - 5917373005460816/6248448141901847587*a^15 + 2591849632023124683/6248448141901847587*a^14 - 1956235081860935964/6248448141901847587*a^13 - 162440894757254489/6248448141901847587*a^12 - 2713326455039835886/6248448141901847587*a^11 - 475841400320734068/6248448141901847587*a^10 + 329526275621675768/6248448141901847587*a^9 + 1853850797561825028/6248448141901847587*a^8 + 667163196984398742/6248448141901847587*a^7 - 1631723818809708979/6248448141901847587*a^6 - 13397811352199677/60664545067008229*a^5 + 1483113705698191815/6248448141901847587*a^4 - 39899010751413071/6248448141901847587*a^3 - 2192669092600096439/6248448141901847587*a^2 + 30175447154931428/60664545067008229*a + 327744773698944580/6248448141901847587], 0, 1, [], 0, [ (80990842300749566)/(6248448141901847587)*a^(16) - (207038702607332822)/(6248448141901847587)*a^(15) + (59899893547021719)/(6248448141901847587)*a^(14) - (58552600370439847)/(6248448141901847587)*a^(13) + (1695989806870677658)/(6248448141901847587)*a^(12) + (745942693082018547)/(6248448141901847587)*a^(11) - (1677482117027015778)/(6248448141901847587)*a^(10) - (9278874293239609004)/(6248448141901847587)*a^(9) - (10165594951264404295)/(6248448141901847587)*a^(8) + (4475363725004744752)/(6248448141901847587)*a^(7) + (25659139559445821894)/(6248448141901847587)*a^(6) + (240389834050884223)/(60664545067008229)*a^(5) + (4912621950821586676)/(6248448141901847587)*a^(4) + (8574387120320074448)/(6248448141901847587)*a^(3) + (46923061101628790642)/(6248448141901847587)*a^(2) + (556555362922707667)/(60664545067008229)*a + (24823424075194341549)/(6248448141901847587) , (101078027180703218)/(6248448141901847587)*a^(16) - (206424164864258062)/(6248448141901847587)*a^(15) - (43262174371635115)/(6248448141901847587)*a^(14) - (186209768087884889)/(6248448141901847587)*a^(13) + (2516491301289683428)/(6248448141901847587)*a^(12) + (1474236170972205887)/(6248448141901847587)*a^(11) - (866706767623910205)/(6248448141901847587)*a^(10) - (14998627018726410681)/(6248448141901847587)*a^(9) - (17032062727040703185)/(6248448141901847587)*a^(8) - (2035228704635073021)/(6248448141901847587)*a^(7) + (43769598661865747330)/(6248448141901847587)*a^(6) + (471165537768921910)/(60664545067008229)*a^(5) + (20565429819890461594)/(6248448141901847587)*a^(4) - (2351485563184660544)/(6248448141901847587)*a^(3) + (57645593211831879531)/(6248448141901847587)*a^(2) + (868896034111915646)/(60664545067008229)*a + (56855573564225289530)/(6248448141901847587) , (42018601240226126)/(6248448141901847587)*a^(16) - (139728971997513232)/(6248448141901847587)*a^(15) + (169003969877897790)/(6248448141901847587)*a^(14) - (231297195650823659)/(6248448141901847587)*a^(13) + (1132362072032383390)/(6248448141901847587)*a^(12) - (636677660975660843)/(6248448141901847587)*a^(11) + (73998567395899421)/(6248448141901847587)*a^(10) - (4077497414188445345)/(6248448141901847587)*a^(9) - (1800632479833554607)/(6248448141901847587)*a^(8) + (2238327052554411065)/(6248448141901847587)*a^(7) + (3659317608970911418)/(6248448141901847587)*a^(6) + (16311924589533519)/(60664545067008229)*a^(5) - (2785061280197955379)/(6248448141901847587)*a^(4) + (24298479104608897719)/(6248448141901847587)*a^(3) + (46060983693464938335)/(6248448141901847587)*a^(2) + (413479103294519568)/(60664545067008229)*a + (12938632562796372990)/(6248448141901847587) , (90936792159424341)/(6248448141901847587)*a^(16) - (287879223103254463)/(6248448141901847587)*a^(15) + (292461913768867146)/(6248448141901847587)*a^(14) - (469071078470986039)/(6248448141901847587)*a^(13) + (2575395248572665870)/(6248448141901847587)*a^(12) - (1154542171175248921)/(6248448141901847587)*a^(11) + (132866978074935910)/(6248448141901847587)*a^(10) - (11979214476430011112)/(6248448141901847587)*a^(9) - (4311978038084249376)/(6248448141901847587)*a^(8) + (3450944027297089927)/(6248448141901847587)*a^(7) + (28998841518477951081)/(6248448141901847587)*a^(6) + (159958118973783898)/(60664545067008229)*a^(5) + (3966485432312233056)/(6248448141901847587)*a^(4) + (2386301911637431555)/(6248448141901847587)*a^(3) + (43734102723056006103)/(6248448141901847587)*a^(2) + (378994620339739508)/(60664545067008229)*a + (17394651884160624286)/(6248448141901847587) , (135512005522248091)/(6248448141901847587)*a^(16) - (366334771125274918)/(6248448141901847587)*a^(15) + (85340159190924792)/(6248448141901847587)*a^(14) + (141259749526722889)/(6248448141901847587)*a^(13) + (2592156241948196807)/(6248448141901847587)*a^(12) + (720850570620599280)/(6248448141901847587)*a^(11) - (3668711022093201472)/(6248448141901847587)*a^(10) - (14621910110099916454)/(6248448141901847587)*a^(9) - (12638364278831705360)/(6248448141901847587)*a^(8) + (12618028252925873149)/(6248448141901847587)*a^(7) + (43298122428615219107)/(6248448141901847587)*a^(6) + (244255781145332833)/(60664545067008229)*a^(5) - (220550207718235434)/(6248448141901847587)*a^(4) + (18834892639889923626)/(6248448141901847587)*a^(3) + (61935563530736757792)/(6248448141901847587)*a^(2) + (549023535502662876)/(60664545067008229)*a + (23315111687297268811)/(6248448141901847587) , (16367588840342296)/(6248448141901847587)*a^(16) - (155850343481931227)/(6248448141901847587)*a^(15) + (439545998361081276)/(6248448141901847587)*a^(14) - (627037162695638659)/(6248448141901847587)*a^(13) + (1220785286454388936)/(6248448141901847587)*a^(12) - (3252694602888279322)/(6248448141901847587)*a^(11) + (2346548111903850894)/(6248448141901847587)*a^(10) - (2431999759149165141)/(6248448141901847587)*a^(9) + (10612097930473589535)/(6248448141901847587)*a^(8) + (3071883437348698008)/(6248448141901847587)*a^(7) - (4941053866227664631)/(6248448141901847587)*a^(6) - (157334752309921397)/(60664545067008229)*a^(5) - (15129841044425463545)/(6248448141901847587)*a^(4) + (11925050582607000098)/(6248448141901847587)*a^(3) - (13132323039341890821)/(6248448141901847587)*a^(2) - (251505993069730319)/(60664545067008229)*a - (30208532389991739793)/(6248448141901847587) , (3612361278219557)/(6248448141901847587)*a^(16) - (16484640156423658)/(6248448141901847587)*a^(15) + (7902084532372006)/(6248448141901847587)*a^(14) + (60599851372291044)/(6248448141901847587)*a^(13) - (45874522449203678)/(6248448141901847587)*a^(12) - (46016843339337698)/(6248448141901847587)*a^(11) - (263744046514979259)/(6248448141901847587)*a^(10) - (74675833825355229)/(6248448141901847587)*a^(9) + (688304895336569269)/(6248448141901847587)*a^(8) + (1333684571328065171)/(6248448141901847587)*a^(7) + (207194130530501850)/(6248448141901847587)*a^(6) - (36868393390341202)/(60664545067008229)*a^(5) - (862512752389190572)/(6248448141901847587)*a^(4) + (3477817967727620307)/(6248448141901847587)*a^(3) + (496279378479547160)/(6248448141901847587)*a^(2) - (48372465352874920)/(60664545067008229)*a - (1965200407297155130)/(6248448141901847587) , (25887509965632056)/(6248448141901847587)*a^(16) - (59816690186326471)/(6248448141901847587)*a^(15) + (15682817067961878)/(6248448141901847587)*a^(14) - (60920396651797855)/(6248448141901847587)*a^(13) + (622116716896067008)/(6248448141901847587)*a^(12) + (224223232629816834)/(6248448141901847587)*a^(11) + (61094088883151600)/(6248448141901847587)*a^(10) - (3773915054640660772)/(6248448141901847587)*a^(9) - (3033225857502625370)/(6248448141901847587)*a^(8) - (1229759707222624980)/(6248448141901847587)*a^(7) + (10455644867502511375)/(6248448141901847587)*a^(6) + (89925060270700030)/(60664545067008229)*a^(5) + (6812342392847169791)/(6248448141901847587)*a^(4) - (227542846451310498)/(6248448141901847587)*a^(3) + (13451714118346107535)/(6248448141901847587)*a^(2) + (170572313094307487)/(60664545067008229)*a + (14391103244549314620)/(6248448141901847587) ], 432952.23952, []]