/* 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^18 - x^17 + 4*x^16 - 20*x^15 + 110*x^14 - 638*x^13 + 3828*x^12 - 10452*x^11 + 27225*x^10 - 60665*x^9 + 120032*x^8 - 195632*x^7 + 494368*x^6 - 886384*x^5 + 698944*x^4 + 424704*x^3 - 566272*x^2 - 573440*x + 1048576, 18, 1, [0, 9], -581652040856250348581103942808504447, [127], [1, a, 1/2*a^2 - 1/2*a, 1/2*a^3 - 1/2*a, 1/8*a^4 - 1/4*a^3 - 1/8*a^2 + 1/4*a, 1/8*a^5 - 1/8*a^3, 1/16*a^6 - 1/16*a^5 - 1/16*a^4 - 3/16*a^3 + 1/4*a, 1/16*a^7 + 3/16*a^3 - 1/4*a, 1/128*a^8 - 1/32*a^7 + 1/64*a^6 - 1/16*a^5 + 1/128*a^4 - 1/32*a^3 - 1/32*a^2 + 1/8*a, 1/128*a^9 + 1/64*a^7 + 1/128*a^5 - 1/32*a^3, 1/256*a^10 - 1/256*a^9 + 3/128*a^7 - 3/256*a^6 + 15/256*a^5 - 3/128*a^4 + 3/64*a^3 + 1/32*a^2 - 1/8*a, 1/512*a^11 + 1/512*a^9 + 15/512*a^7 + 27/512*a^5 + 5/128*a^3 - 1/8*a, 1/2048*a^12 - 1/1024*a^11 - 3/2048*a^10 + 1/1024*a^9 + 7/2048*a^8 - 11/1024*a^7 - 41/2048*a^6 + 7/1024*a^5 + 25/512*a^4 - 47/256*a^3 + 7/32*a^2 - 1/16*a, 1/2048*a^13 + 1/2048*a^11 - 1/512*a^10 + 3/2048*a^9 - 1/256*a^8 + 3/2048*a^7 + 15/512*a^6 - 7/256*a^5 - 3/128*a^4 + 19/128*a^3 - 1/4*a^2 + 1/8*a, 1/8192*a^14 + 1/8192*a^13 - 1/8192*a^12 + 1/8192*a^11 - 11/8192*a^10 - 25/8192*a^9 + 13/8192*a^8 - 53/8192*a^7 - 29/4096*a^6 + 27/2048*a^5 - 41/1024*a^4 + 15/256*a^3 - 5/64*a^2 + 1/16*a, 1/65536*a^15 + 1/32768*a^14 + 1/16384*a^13 - 3/16384*a^12 - 7/32768*a^11 - 5/4096*a^10 + 1/8192*a^9 - 55/16384*a^8 - 1467/65536*a^7 - 857/32768*a^6 - 97/16384*a^5 + 77/8192*a^4 + 61/1024*a^3 - 21/512*a^2 + 1/32*a, 1/131072*a^16 - 1/16384*a^14 - 7/32768*a^13 - 7/65536*a^12 + 1/32768*a^11 + 3/4096*a^10 + 39/32768*a^9 - 331/131072*a^8 - 821/32768*a^7 + 221/8192*a^6 + 21/8192*a^5 - 477/8192*a^4 + 107/512*a^3 + 33/512*a^2 - 7/32*a, 1/123708567156126384128*a^17 - 460082048514963/123708567156126384128*a^16 + 45335281366443/61854283578063192064*a^15 + 542483912833233/15463570894515798016*a^14 - 8727872538041273/61854283578063192064*a^13 + 9213752562820459/61854283578063192064*a^12 - 7126007998981/120809147613404672*a^11 + 22444299684699979/30927141789031596032*a^10 + 463506581055048321/123708567156126384128*a^9 - 258346518559340027/123708567156126384128*a^8 + 1065388015005684425/61854283578063192064*a^7 + 178935744873005689/30927141789031596032*a^6 - 175840133893199215/15463570894515798016*a^5 + 268683859689415/20240276039942144*a^4 - 228430223421775433/966473180907237376*a^3 - 56614400829781787/241618295226809344*a^2 - 4082084364862853/15101143451675584*a - 105200267450820/235955366432431], 1, 200135, [200135], 1, [ (1031892710545601)/(30927141789031596032)*a^(17) - (574208412111893)/(30927141789031596032)*a^(16) + (1407227425804329)/(15463570894515798016)*a^(15) - (1371092511681847)/(1932946361814474752)*a^(14) + (48820452176763035)/(15463570894515798016)*a^(13) - (299481809949124847)/(15463570894515798016)*a^(12) + (226925480635103891)/(1932946361814474752)*a^(11) - (2200772358875330709)/(7731785447257899008)*a^(10) + (21812895505221736937)/(30927141789031596032)*a^(9) - (51845297217065565813)/(30927141789031596032)*a^(8) + (44052393737803599635)/(15463570894515798016)*a^(7) - (34365792254160340029)/(7731785447257899008)*a^(6) + (52311103717539433855)/(3865892723628949504)*a^(5) - (114986325887597961)/(5060069009985536)*a^(4) + (702532717557267921)/(241618295226809344)*a^(3) + (1288064336006173449)/(60404573806702336)*a^(2) - (14407321906412931)/(3775285862918896)*a - (3705942139187511)/(235955366432431) , (16315122788865647)/(61854283578063192064)*a^(17) - (27505905178465749)/(61854283578063192064)*a^(16) - (15108379605948563)/(30927141789031596032)*a^(15) - (16045433372806293)/(7731785447257899008)*a^(14) + (1064111554573769337)/(30927141789031596032)*a^(13) - (5463596670490506003)/(30927141789031596032)*a^(12) + (861447088901545377)/(966473180907237376)*a^(11) - (33491688414265197211)/(15463570894515798016)*a^(10) + (160639477244326201679)/(61854283578063192064)*a^(9) - (215752823689515604493)/(61854283578063192064)*a^(8) + (560616728484737043775)/(30927141789031596032)*a^(7) - (649268963359232332657)/(15463570894515798016)*a^(6) + (270513725993356553511)/(7731785447257899008)*a^(5) + (177988516061956569)/(10120138019971072)*a^(4) - (14120926133917713823)/(483236590453618688)*a^(3) - (2571053503185591189)/(120809147613404672)*a^(2) + (333734987334247049)/(7550571725837792)*a - (1379018859450917)/(235955366432431) , (1194318611654759)/(30927141789031596032)*a^(17) - (427407187611889)/(30927141789031596032)*a^(16) + (2229106132473251)/(15463570894515798016)*a^(15) - (1135804932385687)/(1932946361814474752)*a^(14) + (65748225216148129)/(15463570894515798016)*a^(13) - (317102336361525687)/(15463570894515798016)*a^(12) + (526344244370856177)/(3865892723628949504)*a^(11) - (2399447631801202395)/(7731785447257899008)*a^(10) + (24790284662278017495)/(30927141789031596032)*a^(9) - (54622148427139800041)/(30927141789031596032)*a^(8) + (50349550863579431349)/(15463570894515798016)*a^(7) - (38579000473417314903)/(7731785447257899008)*a^(6) + (57663405488698675161)/(3865892723628949504)*a^(5) - (31038915415281957)/(1265017252496384)*a^(4) + (1065641040264778263)/(241618295226809344)*a^(3) + (690156812756140887)/(30202286903351168)*a^(2) - (12434092922641997)/(1887642931459448)*a - (9384267005615089)/(235955366432431) , (90568579152809)/(15463570894515798016)*a^(17) - (51146350529031)/(15463570894515798016)*a^(16) + (39333354942801)/(1932946361814474752)*a^(15) - (472900726111277)/(3865892723628949504)*a^(14) + (4599778704677627)/(7731785447257899008)*a^(13) - (27971677397322101)/(7731785447257899008)*a^(12) + (83210174019219429)/(3865892723628949504)*a^(11) - (212034727935505293)/(3865892723628949504)*a^(10) + (2253616129561331081)/(15463570894515798016)*a^(9) - (5266121042315598903)/(15463570894515798016)*a^(8) + (2413453654521630703)/(3865892723628949504)*a^(7) - (476564160489347781)/(483236590453618688)*a^(6) + (144382735861392251)/(60404573806702336)*a^(5) - (18006959510199739)/(5060069009985536)*a^(4) + (6469993509270157)/(15101143451675584)*a^(3) + (195103318325374905)/(60404573806702336)*a^(2) - (2241163848478499)/(3775285862918896)*a - (1347971651155199)/(235955366432431) , (1852533278118167)/(30927141789031596032)*a^(17) - (3791621375205235)/(30927141789031596032)*a^(16) - (2645508231347063)/(15463570894515798016)*a^(15) - (1139769030523185)/(3865892723628949504)*a^(14) + (130479304362295685)/(15463570894515798016)*a^(13) - (648316407915312529)/(15463570894515798016)*a^(12) + (788059557647900107)/(3865892723628949504)*a^(11) - (3923358999354188523)/(7731785447257899008)*a^(10) + (14875891287358231151)/(30927141789031596032)*a^(9) - (11961845449721683171)/(30927141789031596032)*a^(8) + (64178482137734769223)/(15463570894515798016)*a^(7) - (79981056207649251989)/(7731785447257899008)*a^(6) + (18411164774134899615)/(3865892723628949504)*a^(5) + (8099185758929077)/(632508626248192)*a^(4) - (1462275863688387359)/(241618295226809344)*a^(3) - (441918790348330465)/(30202286903351168)*a^(2) + (12453463564377469)/(1887642931459448)*a + (2863766544039853)/(235955366432431) , (819707543327173)/(61854283578063192064)*a^(17) - (396692861790259)/(61854283578063192064)*a^(16) + (1146876196439623)/(30927141789031596032)*a^(15) - (1830611911407319)/(7731785447257899008)*a^(14) + (38079754112664475)/(30927141789031596032)*a^(13) - (245249112837535869)/(30927141789031596032)*a^(12) + (175863549524846251)/(3865892723628949504)*a^(11) - (1608121699443080921)/(15463570894515798016)*a^(10) + (16018508722749726933)/(61854283578063192064)*a^(9) - (36181283340564184971)/(61854283578063192064)*a^(8) + (30616550130394185669)/(30927141789031596032)*a^(7) - (25442897360968391427)/(15463570894515798016)*a^(6) + (38582470852763553597)/(7731785447257899008)*a^(5) - (76317034998474631)/(10120138019971072)*a^(4) - (354868067769699285)/(483236590453618688)*a^(3) + (923006980362239943)/(120809147613404672)*a^(2) + (17548910126414637)/(7550571725837792)*a - (2098031973112441)/(235955366432431) , (17482805666210019)/(61854283578063192064)*a^(17) - (6280788725015897)/(61854283578063192064)*a^(16) + (26487065121264957)/(30927141789031596032)*a^(15) - (41720247593010183)/(7731785447257899008)*a^(14) + (818727923594548805)/(30927141789031596032)*a^(13) - (4993462422900942159)/(30927141789031596032)*a^(12) + (3719768649021571691)/(3865892723628949504)*a^(11) - (34739887148924631215)/(15463570894515798016)*a^(10) + (352762589635226566755)/(61854283578063192064)*a^(9) - (791420022187403529969)/(61854283578063192064)*a^(8) + (702341855467154119911)/(30927141789031596032)*a^(7) - (565845614207394629521)/(15463570894515798016)*a^(6) + (824546526223405066199)/(7731785447257899008)*a^(5) - (1737210151166723889)/(10120138019971072)*a^(4) + (12869998881586096337)/(483236590453618688)*a^(3) + (19148233387161629625)/(120809147613404672)*a^(2) - (315348861120914929)/(7550571725837792)*a - (64029662602523013)/(235955366432431) , (3182622194726353)/(30927141789031596032)*a^(17) - (17694759518892101)/(30927141789031596032)*a^(16) - (12079548775618847)/(15463570894515798016)*a^(15) - (9832552118728179)/(1932946361814474752)*a^(14) + (238727665260269371)/(15463570894515798016)*a^(13) - (1337209674246526127)/(15463570894515798016)*a^(12) + (1125538456274361111)/(1932946361814474752)*a^(11) - (15720995097129735101)/(7731785447257899008)*a^(10) + (91290702257684046169)/(30927141789031596032)*a^(9) - (344773452582676408645)/(30927141789031596032)*a^(8) + (257283665066322951675)/(15463570894515798016)*a^(7) - (178539816331016156389)/(7731785447257899008)*a^(6) + (292443976231514434647)/(3865892723628949504)*a^(5) - (835337053042995989)/(5060069009985536)*a^(4) + (3020396071888780185)/(241618295226809344)*a^(3) + (9675746088685503949)/(60404573806702336)*a^(2) + (7275186267707565)/(3775285862918896)*a - (49012773479904805)/(235955366432431) ], 16450307908.7, [[x^2 - x + 32, 1], [x^3 - x^2 - 42*x - 80, 1], [x^6 - x^5 + 11*x^4 + 181*x^3 + 660*x^2 + 972*x + 608, 1], [x^9 - x^8 - 56*x^7 + 118*x^6 + 573*x^5 - 1249*x^4 - 1582*x^3 + 2700*x^2 + 1576*x - 32, 1]]]