/* 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^32 + 7*x^30 + 23*x^28 + 38*x^26 + 11*x^24 - 94*x^22 - 186*x^20 - 24*x^18 + 385*x^16 - 96*x^14 - 2976*x^12 - 6016*x^10 + 2816*x^8 + 38912*x^6 + 94208*x^4 + 114688*x^2 + 65536, 32, 96908, [0, 16], 111539154030155436264757885742310633531656776974336, [2, 3, 89, 1327], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, 1/3*a^12 + 1/3*a^10 - 1/3*a^6 + 1/3*a^2 + 1/3, 1/3*a^13 + 1/3*a^11 - 1/3*a^7 + 1/3*a^3 + 1/3*a, 1/3*a^14 - 1/3*a^10 - 1/3*a^8 + 1/3*a^6 + 1/3*a^4 - 1/3, 1/3*a^15 - 1/3*a^11 - 1/3*a^9 + 1/3*a^7 + 1/3*a^5 - 1/3*a, 1/3*a^16 + 1/3*a^8 + 1/3, 1/6*a^17 - 1/6*a^15 - 1/6*a^13 - 1/6*a^9 + 1/3*a^5 + 1/3*a^3 + 1/6*a, 1/12*a^18 - 1/12*a^16 - 1/12*a^14 - 1/6*a^12 + 1/4*a^10 - 1/2*a^8 - 1/6*a^6 - 1/3*a^4 + 5/12*a^2 + 1/3, 1/24*a^19 - 1/24*a^17 - 1/24*a^15 - 1/12*a^13 + 1/8*a^11 - 1/4*a^9 - 1/12*a^7 + 1/3*a^5 - 7/24*a^3 - 1/3*a, 1/48*a^20 - 1/48*a^18 - 1/48*a^16 - 1/24*a^14 - 5/48*a^12 + 5/24*a^10 + 11/24*a^8 - 1/6*a^6 + 17/48*a^4 + 1/6*a^2 + 1/3, 1/96*a^21 - 1/96*a^19 - 1/96*a^17 + 7/48*a^15 - 5/96*a^13 + 7/16*a^11 - 7/16*a^9 - 5/12*a^7 + 11/32*a^5 - 5/12*a^3, 1/192*a^22 - 1/192*a^20 - 1/192*a^18 + 7/96*a^16 - 5/192*a^14 + 5/96*a^12 + 11/96*a^10 + 7/24*a^8 + 65/192*a^6 - 5/24*a^4 + 1/3*a^2 + 1/3, 1/384*a^23 - 1/384*a^21 - 1/384*a^19 + 7/192*a^17 - 5/384*a^15 - 9/64*a^13 + 25/64*a^11 + 7/48*a^9 + 43/128*a^7 + 19/48*a^5 - 1/2*a, 1/2304*a^24 - 1/2304*a^22 - 17/2304*a^20 + 47/1152*a^18 - 53/2304*a^16 - 107/1152*a^14 + 115/1152*a^12 + 139/288*a^10 + 673/2304*a^8 - 61/288*a^6 + 7/144*a^4 + 2/9*a^2 - 2/9, 1/4608*a^25 - 1/4608*a^23 - 17/4608*a^21 + 47/2304*a^19 - 53/4608*a^17 - 107/2304*a^15 - 269/2304*a^13 + 43/576*a^11 - 1631/4608*a^9 + 35/576*a^7 - 137/288*a^5 + 4/9*a^3 - 5/18*a, 1/9216*a^26 - 1/9216*a^24 - 17/9216*a^22 + 47/4608*a^20 - 53/9216*a^18 + 661/4608*a^16 - 269/4608*a^14 + 43/1152*a^12 + 2977/9216*a^10 - 349/1152*a^8 - 137/576*a^6 + 2/9*a^4 + 13/36*a^2 - 1/3, 1/18432*a^27 - 1/18432*a^25 - 17/18432*a^23 + 47/9216*a^21 - 53/18432*a^19 + 661/9216*a^17 - 269/9216*a^15 + 43/2304*a^13 + 2977/18432*a^11 + 803/2304*a^9 + 439/1152*a^7 + 1/9*a^5 - 23/72*a^3 - 1/6*a, 1/6746112*a^28 + 121/2248704*a^26 - 317/6746112*a^24 + 3257/3373056*a^22 + 3803/749568*a^20 - 76057/3373056*a^18 + 189871/3373056*a^16 + 1193/70272*a^14 + 89921/6746112*a^12 + 527425/1686528*a^10 + 6311/15616*a^8 - 22805/105408*a^6 + 2575/26352*a^4 - 431/2196*a^2 + 553/1647, 1/13492224*a^29 + 121/4497408*a^27 - 317/13492224*a^25 + 3257/6746112*a^23 + 3803/1499136*a^21 - 76057/6746112*a^19 + 189871/6746112*a^17 + 1193/140544*a^15 - 2158783/13492224*a^13 + 1651777/3373056*a^11 - 9305/31232*a^9 - 93077/210816*a^7 + 2575/52704*a^5 + 1033/4392*a^3 - 1643/3294*a, 1/1969864704*a^30 - 137/1969864704*a^28 + 64135/1969864704*a^26 + 18091/984932352*a^24 - 2180405/1969864704*a^22 + 5726105/984932352*a^20 + 13104481/328310784*a^18 + 4764025/246233088*a^16 + 220845377/1969864704*a^14 - 1613989/41038848*a^12 - 477989/30779136*a^10 - 447275/1923696*a^8 - 219485/3847392*a^6 - 554663/1923696*a^4 + 21421/120231*a^2 + 34819/120231, 1/3939729408*a^31 - 137/3939729408*a^29 + 64135/3939729408*a^27 + 18091/1969864704*a^25 - 2180405/3939729408*a^23 + 5726105/1969864704*a^21 + 13104481/656621568*a^19 + 4764025/492466176*a^17 + 220845377/3939729408*a^15 + 12065627/82077696*a^13 - 20997413/61558272*a^11 + 1476421/3847392*a^9 + 2345443/7694784*a^7 + 1369033/3847392*a^5 - 58733/240462*a^3 + 37448/120231*a], 1, 18, [3, 6], 1, [ (125015)/(1969864704)*a^(31) - (1642879)/(1969864704)*a^(29) - (8427127)/(1969864704)*a^(27) - (7974151)/(984932352)*a^(25) - (4425691)/(1969864704)*a^(23) + (20003167)/(984932352)*a^(21) + (14819299)/(328310784)*a^(19) - (426463)/(246233088)*a^(17) - (250786073)/(1969864704)*a^(15) - (291593)/(3419904)*a^(13) + (158447311)/(246233088)*a^(11) + (45748283)/(30779136)*a^(9) + (4264409)/(15389568)*a^(7) - (27712013)/(3847392)*a^(5) - (17617691)/(961848)*a^(3) - (4364753)/(240462)*a + 1 , (15307)/(13492224)*a^(30) + (40033)/(13492224)*a^(28) - (1919)/(13492224)*a^(26) - (93029)/(6746112)*a^(24) - (351815)/(13492224)*a^(22) - (39919)/(6746112)*a^(20) + (22731)/(249856)*a^(18) + (50665)/(421632)*a^(16) - (2694853)/(13492224)*a^(14) - (926465)/(1124352)*a^(12) - (357757)/(1686528)*a^(10) + (625183)/(210816)*a^(8) + (879691)/(105408)*a^(6) + (138263)/(26352)*a^(4) - (108703)/(6588)*a^(2) - (54463)/(1647) , (331849)/(1313243136)*a^(31) - (19572127)/(3939729408)*a^(29) - (3507253)/(145915904)*a^(27) - (87419777)/(1969864704)*a^(25) - (40122175)/(3939729408)*a^(23) + (75659963)/(656621568)*a^(21) + (493193365)/(1969864704)*a^(19) - (5292779)/(246233088)*a^(17) - (923076695)/(1313243136)*a^(15) - (364232111)/(984932352)*a^(13) + (446566981)/(123116544)*a^(11) + (82967927)/(10259712)*a^(9) + (9159731)/(15389568)*a^(7) - (19824899)/(480924)*a^(5) - (10893079)/(106872)*a^(3) - (11870576)/(120231)*a , (2882689)/(1969864704)*a^(30) + (16600055)/(1969864704)*a^(28) + (39722695)/(1969864704)*a^(26) + (5808377)/(328310784)*a^(24) - (55205557)/(1969864704)*a^(22) - (103592647)/(984932352)*a^(20) - (79603837)/(984932352)*a^(18) + (45479297)/(246233088)*a^(16) + (605258177)/(1969864704)*a^(14) - (107661895)/(123116544)*a^(12) - (51732167)/(15389568)*a^(10) - (82037399)/(30779136)*a^(8) + (3233963)/(284992)*a^(6) + (40339909)/(961848)*a^(4) + (30153451)/(480924)*a^(2) + (4475792)/(120231) , (1433)/(26984448)*a^(30) + (11615)/(26984448)*a^(28) + (42239)/(26984448)*a^(26) + (24491)/(13492224)*a^(24) - (22909)/(26984448)*a^(22) - (100127)/(13492224)*a^(20) - (41215)/(4497408)*a^(18) + (24509)/(3373056)*a^(16) + (979897)/(26984448)*a^(14) - (16529)/(562176)*a^(12) - (421723)/(1686528)*a^(10) - (131959)/(421632)*a^(8) + (48061)/(105408)*a^(6) + (68837)/(26352)*a^(4) + (18157)/(3294)*a^(2) + (5666)/(1647) , (317671)/(218873856)*a^(30) + (7959391)/(656621568)*a^(28) + (23323783)/(656621568)*a^(26) + (14208673)/(328310784)*a^(24) - (5732395)/(218873856)*a^(22) - (19757075)/(109436928)*a^(20) - (72335965)/(328310784)*a^(18) + (3087593)/(13679616)*a^(16) + (52579213)/(72957952)*a^(14) - (130788733)/(164155392)*a^(12) - (78826535)/(13679616)*a^(10) - (12486361)/(1709952)*a^(8) + (16062065)/(1282464)*a^(6) + (11116919)/(160308)*a^(4) + (20022257)/(160308)*a^(2) + (411542)/(4453) , (1304891)/(1969864704)*a^(30) + (1430191)/(656621568)*a^(28) + (3846077)/(1969864704)*a^(26) - (4025063)/(984932352)*a^(24) - (3069439)/(218873856)*a^(22) - (12499373)/(984932352)*a^(20) + (30440273)/(984932352)*a^(18) + (5738113)/(82077696)*a^(16) - (131329541)/(1969864704)*a^(14) - (55378387)/(123116544)*a^(12) - (258083)/(569984)*a^(10) + (32562305)/(30779136)*a^(8) + (9189521)/(1923696)*a^(6) + (356893)/(53436)*a^(4) - (277615)/(480924)*a^(2) - (133480)/(13359) , (4103)/(13492224)*a^(30) + (6215)/(13492224)*a^(28) - (21421)/(13492224)*a^(26) - (22013)/(3373056)*a^(24) - (107431)/(13492224)*a^(22) + (4313)/(843264)*a^(20) + (10397)/(249856)*a^(18) + (126187)/(3373056)*a^(16) - (1312313)/(13492224)*a^(14) - (568727)/(2248704)*a^(12) + (270991)/(1686528)*a^(10) + (543985)/(421632)*a^(8) + (118747)/(52704)*a^(6) - (4075)/(3294)*a^(4) - (18116)/(1647)*a^(2) - (27002)/(1647) , (5640785)/(3939729408)*a^(31) + (1535795)/(656621568)*a^(30) + (3759575)/(437747712)*a^(29) + (21280943)/(1969864704)*a^(28) + (83051087)/(3939729408)*a^(27) + (13452133)/(656621568)*a^(26) + (38590183)/(1969864704)*a^(25) + (7054339)/(984932352)*a^(24) - (35383687)/(1313243136)*a^(23) - (95943709)/(1969864704)*a^(22) - (3554039)/(32292864)*a^(21) - (36409357)/(328310784)*a^(20) - (179296933)/(1969864704)*a^(19) - (8130605)/(984932352)*a^(18) + (3378565)/(18239488)*a^(17) + (69595049)/(246233088)*a^(16) + (1324424785)/(3939729408)*a^(15) + (111870739)/(656621568)*a^(14) - (418769921)/(492466176)*a^(13) - (93274759)/(61558272)*a^(12) - (4505167)/(1282464)*a^(11) - (445348123)/(123116544)*a^(10) - (45963679)/(15389568)*a^(9) - (4293671)/(10259712)*a^(8) + (172937615)/(15389568)*a^(7) + (137887793)/(7694784)*a^(6) + (13989317)/(320616)*a^(5) + (89567075)/(1923696)*a^(4) + (32268829)/(480924)*a^(3) + (2046935)/(40077)*a^(2) + (3267649)/(80154)*a + (1422863)/(120231) , (274373)/(437747712)*a^(31) + (111823)/(218873856)*a^(30) + (14199323)/(3939729408)*a^(29) + (7837249)/(1969864704)*a^(28) + (11107513)/(1313243136)*a^(27) + (7586459)/(656621568)*a^(26) + (13206247)/(1969864704)*a^(25) + (13726397)/(984932352)*a^(24) - (50458705)/(3939729408)*a^(23) - (16918355)/(1969864704)*a^(22) - (3244169)/(72957952)*a^(21) - (6338249)/(109436928)*a^(20) - (55597049)/(1969864704)*a^(19) - (71042203)/(984932352)*a^(18) + (40724537)/(492466176)*a^(17) + (17258359)/(246233088)*a^(16) + (157874255)/(1313243136)*a^(15) + (148603885)/(656621568)*a^(14) - (24475031)/(61558272)*a^(13) - (31735957)/(123116544)*a^(12) - (174423773)/(123116544)*a^(11) - (112963345)/(61558272)*a^(10) - (6727183)/(6839808)*a^(9) - (3997429)/(1709952)*a^(8) + (78294473)/(15389568)*a^(7) + (31904479)/(7694784)*a^(6) + (67808147)/(3847392)*a^(5) + (43083463)/(1923696)*a^(4) + (2723293)/(106872)*a^(3) + (1091321)/(26718)*a^(2) + (3150197)/(240462)*a + (3707758)/(120231) , (1896289)/(3939729408)*a^(31) - (166777)/(123116544)*a^(30) + (4645067)/(3939729408)*a^(29) - (312575)/(41038848)*a^(28) - (1198877)/(3939729408)*a^(27) - (1084133)/(61558272)*a^(26) - (4089005)/(656621568)*a^(25) - (1711483)/(123116544)*a^(24) - (44268589)/(3939729408)*a^(23) + (561349)/(20519424)*a^(22) - (3794425)/(1969864704)*a^(21) + (5678761)/(61558272)*a^(20) + (81901103)/(1969864704)*a^(19) + (7226755)/(123116544)*a^(18) + (6616433)/(123116544)*a^(17) - (399975)/(2279936)*a^(16) - (340012639)/(3939729408)*a^(15) - (30469847)/(123116544)*a^(14) - (349957231)/(984932352)*a^(13) + (51823753)/(61558272)*a^(12) - (349291)/(4036608)*a^(11) + (120730301)/(41038848)*a^(10) + (19678903)/(15389568)*a^(9) + (58941239)/(30779136)*a^(8) + (4420133)/(1282464)*a^(7) - (83169475)/(7694784)*a^(6) + (6983249)/(3847392)*a^(5) - (23687873)/(641232)*a^(4) - (3828343)/(480924)*a^(3) - (25209781)/(480924)*a^(2) - (1791242)/(120231)*a - (1100725)/(40077) , (106297)/(328310784)*a^(31) - (1119625)/(246233088)*a^(30) + (224995)/(36478976)*a^(29) - (13156565)/(492466176)*a^(28) + (122299)/(5382144)*a^(27) - (31702583)/(492466176)*a^(26) + (5760751)/(164155392)*a^(25) - (28129813)/(492466176)*a^(24) - (916081)/(328310784)*a^(23) + (5431811)/(61558272)*a^(22) - (18410297)/(164155392)*a^(21) + (165376735)/(492466176)*a^(20) - (10432069)/(54718464)*a^(19) + (21072469)/(82077696)*a^(18) + (3218099)/(41038848)*a^(17) - (145666781)/(246233088)*a^(16) + (185605729)/(328310784)*a^(15) - (244737485)/(246233088)*a^(14) - (476709)/(9119744)*a^(13) + (449203139)/(164155392)*a^(12) - (290125609)/(82077696)*a^(11) + (663229973)/(61558272)*a^(10) - (127659667)/(20519424)*a^(9) + (263328325)/(30779136)*a^(8) + (18475325)/(5129856)*a^(7) - (276711301)/(7694784)*a^(6) + (53165503)/(1282464)*a^(5) - (32235343)/(240462)*a^(4) + (3145863)/(35624)*a^(3) - (48339967)/(240462)*a^(2) + (3094799)/(40077)*a - (14229944)/(120231) , (994057)/(492466176)*a^(31) + (2376403)/(984932352)*a^(30) + (13568579)/(984932352)*a^(29) + (8573645)/(984932352)*a^(28) + (35967317)/(984932352)*a^(27) + (10209349)/(984932352)*a^(26) + (38170795)/(984932352)*a^(25) - (1780301)/(164155392)*a^(24) - (2357179)/(61558272)*a^(23) - (51561367)/(984932352)*a^(22) - (184531309)/(984932352)*a^(21) - (30956233)/(492466176)*a^(20) - (31105517)/(164155392)*a^(19) + (44905637)/(492466176)*a^(18) + (138840299)/(492466176)*a^(17) + (33476483)/(123116544)*a^(16) + (323181161)/(492466176)*a^(15) - (118746205)/(984932352)*a^(14) - (42444353)/(36478976)*a^(13) - (203924363)/(123116544)*a^(12) - (1481777491)/(246233088)*a^(11) - (256115033)/(123116544)*a^(10) - (191558213)/(30779136)*a^(9) + (5515535)/(1923696)*a^(8) + (252336631)/(15389568)*a^(7) + (15404861)/(854976)*a^(6) + (142014865)/(1923696)*a^(5) + (56829961)/(1923696)*a^(4) + (29137301)/(240462)*a^(3) + (4294607)/(480924)*a^(2) + (9869107)/(120231)*a - (3475739)/(120231) , (866651)/(492466176)*a^(31) - (319589)/(656621568)*a^(30) + (2836093)/(328310784)*a^(29) + (819397)/(656621568)*a^(28) + (17280661)/(984932352)*a^(27) + (7056677)/(656621568)*a^(26) + (8888959)/(984932352)*a^(25) + (2628319)/(109436928)*a^(24) - (23345)/(641232)*a^(23) + (910417)/(72957952)*a^(22) - (93314213)/(984932352)*a^(21) - (15904585)/(328310784)*a^(20) - (12809321)/(492466176)*a^(19) - (4995215)/(36478976)*a^(18) + (36042493)/(164155392)*a^(17) - (247299)/(9119744)*a^(16) + (86191999)/(492466176)*a^(15) + (236942939)/(656621568)*a^(14) - (1134146147)/(984932352)*a^(13) + (11132399)/(27359232)*a^(12) - (62530759)/(20519424)*a^(11) - (10347481)/(6839808)*a^(10) - (57076505)/(61558272)*a^(9) - (186995)/(42048)*a^(8) + (105509291)/(7694784)*a^(7) - (960173)/(320616)*a^(6) + (49710419)/(1282464)*a^(5) + (10501151)/(641232)*a^(4) + (5622404)/(120231)*a^(3) + (2677099)/(53436)*a^(2) + (148877)/(8906)*a + (727247)/(13359) , (2219269)/(3939729408)*a^(31) - (2998487)/(1969864704)*a^(30) + (18408739)/(3939729408)*a^(29) - (16726525)/(1969864704)*a^(28) + (52259587)/(3939729408)*a^(27) - (622649)/(32292864)*a^(26) + (30875767)/(1969864704)*a^(25) - (571349)/(36478976)*a^(24) - (42754841)/(3939729408)*a^(23) + (60095771)/(1969864704)*a^(22) - (133784923)/(1969864704)*a^(21) + (100052447)/(984932352)*a^(20) - (5729403)/(72957952)*a^(19) + (64771967)/(984932352)*a^(18) + (42939661)/(492466176)*a^(17) - (3040429)/(15389568)*a^(16) + (1055669093)/(3939729408)*a^(15) - (541733047)/(1969864704)*a^(14) - (13776277)/(41038848)*a^(13) + (463001633)/(492466176)*a^(12) - (531305993)/(246233088)*a^(11) + (201631699)/(61558272)*a^(10) - (160940873)/(61558272)*a^(9) + (547433)/(240462)*a^(8) + (38159989)/(7694784)*a^(7) - (2561563)/(213744)*a^(6) + (100809313)/(3847392)*a^(5) - (79751881)/(1923696)*a^(4) + (43801897)/(961848)*a^(3) - (28148657)/(480924)*a^(2) + (3967043)/(120231)*a - (3858610)/(120231) ], 382220804260.19714, [[x^2 + 1, 1], [x^2 - x + 1, 1], [x^2 - 3, 1], [x^4 - x^3 - 4*x^2 + 2*x + 1, 1], [x^4 - x^2 + 1, 1], [x^8 + 20*x^6 + 118*x^4 + 189*x^2 + 89, 1], [x^8 - 13*x^6 + 49*x^4 - 45*x^2 + 9, 1], [x^8 - x^7 + 4*x^6 - 4*x^5 + 9*x^4 - 8*x^3 + 16*x^2 - 8*x + 16, 1], [x^8 + 9*x^6 + 22*x^4 + 12*x^2 + 1, 1], [x^8 - 9*x^6 - x^5 + 22*x^4 + x^3 - 15*x^2 - x + 1, 1], [x^8 - 3*x^7 + 3*x^6 + 3*x^5 - 11*x^4 + 6*x^3 + 12*x^2 - 24*x + 16, 1], [x^8 - 23*x^6 + 190*x^4 - 660*x^2 + 801, 1], [x^16 + 2*x^14 + 25*x^12 + 11*x^10 + 114*x^8 - 107*x^6 + 343*x^4 + 163*x^2 + 25, 1], [x^16 + 18*x^14 + 125*x^12 + 427*x^10 + 758*x^8 + 681*x^6 + 271*x^4 + 31*x^2 + 1, 1], [x^16 - 18*x^14 + 89*x^12 - 25*x^10 + 562*x^8 - 2527*x^6 - 3065*x^4 + 32307*x^2 + 71289, 1], [x^16 + 3*x^14 + 5*x^12 + 15*x^10 + 45*x^8 + 60*x^6 + 80*x^4 + 192*x^2 + 256, 1], [x^16 - 25*x^14 + 243*x^12 - 1174*x^10 + 3019*x^8 - 4134*x^6 + 2862*x^4 - 864*x^2 + 81, 1], [x^16 - 7*x^14 + 26*x^12 - 72*x^10 + 161*x^8 - 288*x^6 + 416*x^4 - 448*x^2 + 256, 1], [x^16 - x^15 - 3*x^14 + 4*x^13 + 3*x^12 - 6*x^11 + 4*x^10 + 4*x^9 - 15*x^8 + 8*x^7 + 16*x^6 - 48*x^5 + 48*x^4 + 128*x^3 - 192*x^2 - 128*x + 256, 1]]]