/* 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 - 8*x^30 + 44*x^28 - 208*x^26 + 910*x^24 - 2800*x^22 + 7440*x^20 - 17664*x^18 + 35492*x^16 - 44096*x^14 + 49952*x^12 - 50240*x^10 + 37432*x^8 - 5696*x^6 + 864*x^4 - 128*x^2 + 16, 32, 43, [0, 16], 1267650600228229401496703205376000000000000000000000000, [2, 5], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, 1/2*a^8, 1/2*a^9, 1/2*a^10, 1/2*a^11, 1/2*a^12, 1/2*a^13, 1/2*a^14, 1/2*a^15, 1/4*a^16, 1/4*a^17, 1/124*a^18 + 15/124*a^16 + 2/31*a^14 - 1/31*a^12 + 1/62*a^10 - 13/62*a^8 + 11/31*a^6 + 10/31*a^4 - 5/31*a^2 - 13/31, 1/124*a^19 + 15/124*a^17 + 2/31*a^15 - 1/31*a^13 + 1/62*a^11 - 13/62*a^9 + 11/31*a^7 + 10/31*a^5 - 5/31*a^3 - 13/31*a, 1/124*a^20 + 3/62*a^10 + 9/31, 1/124*a^21 + 3/62*a^11 + 9/31*a, 1/124*a^22 + 3/62*a^12 + 9/31*a^2, 1/124*a^23 + 3/62*a^13 + 9/31*a^3, 1/248*a^24 - 7/31*a^14 - 11/31*a^4, 1/248*a^25 - 7/31*a^15 - 11/31*a^5, 1/102362248*a^26 + 3173/1651004*a^24 + 85069/51181124*a^22 - 85657/25590562*a^20 + 79539/25590562*a^18 + 411907/51181124*a^16 - 573153/25590562*a^14 - 31366/12795281*a^12 + 3144819/25590562*a^10 + 3841175/25590562*a^8 - 5143468/12795281*a^6 + 3127171/12795281*a^4 - 1006672/12795281*a^2 - 4928301/12795281, 1/102362248*a^27 + 3173/1651004*a^25 + 85069/51181124*a^23 - 85657/25590562*a^21 + 79539/25590562*a^19 + 411907/51181124*a^17 - 573153/25590562*a^15 - 31366/12795281*a^13 + 3144819/25590562*a^11 + 3841175/25590562*a^9 - 5143468/12795281*a^7 + 3127171/12795281*a^5 - 1006672/12795281*a^3 - 4928301/12795281*a, 1/3173229688*a^28 + 15/3173229688*a^26 - 1353545/3173229688*a^24 - 2071545/793307422*a^22 - 4501075/1586614844*a^20 + 1974767/1586614844*a^18 + 44767237/1586614844*a^16 - 122974903/793307422*a^14 + 11094585/396653711*a^12 + 181713821/793307422*a^10 - 35684806/396653711*a^8 + 174213533/396653711*a^6 - 90689607/396653711*a^4 + 125886043/396653711*a^2 + 9949030/396653711, 1/3173229688*a^29 + 15/3173229688*a^27 - 1353545/3173229688*a^25 - 2071545/793307422*a^23 - 4501075/1586614844*a^21 + 1974767/1586614844*a^19 + 44767237/1586614844*a^17 - 122974903/793307422*a^15 + 11094585/396653711*a^13 + 181713821/793307422*a^11 - 35684806/396653711*a^9 + 174213533/396653711*a^7 - 90689607/396653711*a^5 + 125886043/396653711*a^3 + 9949030/396653711*a, 1/3173229688*a^30 + 57208/396653711*a^20 - 54751068/396653711*a^10 - 130294233/396653711, 1/3173229688*a^31 + 57208/396653711*a^21 - 54751068/396653711*a^11 - 130294233/396653711*a], 1, 85, [85], 1, [ (93249)/(793307422)*a^(30) - (1025739)/(1586614844)*a^(28) + (1212237)/(396653711)*a^(26) - (42428295)/(3173229688)*a^(24) + (22194523)/(396653711)*a^(22) - (1398735)/(12795281)*a^(20) + (102946896)/(396653711)*a^(18) - (827398377)/(1586614844)*a^(16) + (256994244)/(396653711)*a^(14) + (521935826)/(396653711)*a^(12) + (292801860)/(396653711)*a^(10) - (436312071)/(793307422)*a^(8) + (33196644)/(396653711)*a^(6) - (5035446)/(396653711)*a^(4) + (2606246504)/(396653711)*a^(2) - (396746960)/(396653711) , (18224637)/(793307422)*a^(30) - (583195333)/(3173229688)*a^(28) + (400942014)/(396653711)*a^(26) - (1895362248)/(396653711)*a^(24) + (8292209835)/(396653711)*a^(22) - (25514491800)/(396653711)*a^(20) + (67794764959)/(396653711)*a^(18) - (160959993984)/(396653711)*a^(16) + (323414408202)/(396653711)*a^(14) - (401816796576)/(396653711)*a^(12) + (455178533712)/(396653711)*a^(10) - (915853891225)/(793307422)*a^(8) + (341092306092)/(396653711)*a^(6) - (51903766176)/(396653711)*a^(4) + (7873043184)/(396653711)*a^(2) - (1166376768)/(396653711) , (449209)/(793307422)*a^(30) - (4941299)/(1586614844)*a^(28) + (5839717)/(396653711)*a^(26) - (204390095)/(3173229688)*a^(24) + (106914249)/(396653711)*a^(22) - (6738135)/(12795281)*a^(20) + (495926736)/(396653711)*a^(18) - (3985831457)/(1586614844)*a^(16) + (1238020004)/(396653711)*a^(14) + (5020239691)/(793307422)*a^(12) + (1410516260)/(396653711)*a^(10) - (2101848911)/(793307422)*a^(8) + (159918404)/(396653711)*a^(6) - (24257286)/(396653711)*a^(4) + (11108202117)/(396653711)*a^(2) - (449209)/(396653711) , (93249)/(793307422)*a^(30) - (1025739)/(1586614844)*a^(28) + (1212237)/(396653711)*a^(26) - (42428295)/(3173229688)*a^(24) + (22194523)/(396653711)*a^(22) - (1398735)/(12795281)*a^(20) + (102946896)/(396653711)*a^(18) - (827398377)/(1586614844)*a^(16) + (256994244)/(396653711)*a^(14) + (521935826)/(396653711)*a^(12) + (292801860)/(396653711)*a^(10) - (436312071)/(793307422)*a^(8) + (33196644)/(396653711)*a^(6) - (5035446)/(396653711)*a^(4) + (2209592793)/(396653711)*a^(2) - (93249)/(396653711) , (5034295)/(793307422)*a^(30) - (84564477)/(1586614844)*a^(28) + (237337793)/(793307422)*a^(26) - (2267119337)/(1586614844)*a^(24) + (2494117535)/(396653711)*a^(22) - (7936436536)/(396653711)*a^(20) + (21428346461)/(396653711)*a^(18) - (51588371800)/(396653711)*a^(16) + (106158527310)/(396653711)*a^(14) - (144446689296)/(396653711)*a^(12) + (165594508058)/(396653711)*a^(10) - (341942244967)/(793307422)*a^(8) + (138438021204)/(396653711)*a^(6) - (45270584043)/(396653711)*a^(4) + (3196904508)/(396653711)*a^(2) - (78301777)/(396653711) , (16338405)/(793307422)*a^(30) - (128443473)/(793307422)*a^(28) + (2803849767)/(3173229688)*a^(26) - (13201004655)/(3173229688)*a^(24) + (7202553475)/(396653711)*a^(22) - (228928125)/(4153442)*a^(20) + (57692024916)/(396653711)*a^(18) - (272263747455)/(793307422)*a^(16) + (270608880396)/(396653711)*a^(14) - (321615446365)/(396653711)*a^(12) + (361260168180)/(396653711)*a^(10) - (715158195447)/(793307422)*a^(8) + (252878246575)/(396653711)*a^(6) - (8265697272)/(396653711)*a^(4) + (3840878360)/(396653711)*a^(2) - (559198520)/(396653711) , (1815749)/(793307422)*a^(30) - (25829739)/(1586614844)*a^(28) + (33681362)/(396653711)*a^(26) - (619260095)/(1586614844)*a^(24) + (666409523)/(396653711)*a^(22) - (1845784785)/(396653711)*a^(20) + (4659820646)/(396653711)*a^(18) - (42139838377)/(1586614844)*a^(16) + (19296310910)/(396653711)*a^(14) - (14523068174)/(396653711)*a^(12) + (15988566360)/(396653711)*a^(10) - (25736392071)/(793307422)*a^(8) + (10252684)/(2076721)*a^(6) + (16817205272)/(396653711)*a^(4) + (2252999793)/(396653711)*a^(2) + (391048462)/(396653711) , (93249)/(793307422)*a^(31) - (4588028)/(396653711)*a^(30) - (1025739)/(1586614844)*a^(29) + (72261441)/(793307422)*a^(28) + (1212237)/(396653711)*a^(27) - (197286598)/(396653711)*a^(26) - (42428295)/(3173229688)*a^(25) + (929075670)/(396653711)*a^(24) + (22194523)/(396653711)*a^(23) - (4055816752)/(396653711)*a^(22) - (1398735)/(12795281)*a^(21) + (12324590215)/(396653711)*a^(20) + (102946896)/(396653711)*a^(19) - (32529118520)/(396653711)*a^(18) - (827398377)/(1586614844)*a^(17) + (307098568663)/(1586614844)*a^(16) + (256994244)/(396653711)*a^(15) - (152707923952)/(396653711)*a^(14) + (521935826)/(396653711)*a^(13) + (181958896466)/(396653711)*a^(12) + (292801860)/(396653711)*a^(11) - (203891964320)/(396653711)*a^(10) - (436312071)/(793307422)*a^(9) + (201854879888)/(396653711)*a^(8) + (33196644)/(396653711)*a^(7) - (143137871736)/(396653711)*a^(6) - (5035446)/(396653711)*a^(5) + (4666024476)/(396653711)*a^(4) + (2606246504)/(396653711)*a^(3) - (697380256)/(396653711)*a^(2) - (93249)/(396653711)*a - (304893151)/(396653711) , (13075084)/(396653711)*a^(31) + (16722861)/(793307422)*a^(30) - (205932573)/(793307422)*a^(29) - (265267503)/(1586614844)*a^(28) + (4497850247)/(3173229688)*a^(27) + (363316308)/(396653711)*a^(26) - (2647704510)/(396653711)*a^(25) - (1713943390)/(396653711)*a^(24) + (11558374256)/(396653711)*a^(23) + (7489613027)/(396653711)*a^(22) - (35122944395)/(396653711)*a^(21) - (22890117215)/(396653711)*a^(20) + (92702345560)/(396653711)*a^(19) + (60604310186)/(396653711)*a^(18) - (875183032653)/(1586614844)*a^(17) - (573712095703)/(1586614844)*a^(16) + (435191095856)/(396653711)*a^(15) + (286633525482)/(396653711)*a^(14) - (518551293898)/(396653711)*a^(13) - (348350853106)/(396653711)*a^(12) + (581056732960)/(396653711)*a^(11) + (392380966000)/(396653711)*a^(10) - (575251395664)/(396653711)*a^(9) - (782555751623)/(793307422)*a^(8) + (407685694490)/(396653711)*a^(7) + (284383874116)/(396653711)*a^(6) - (13297360428)/(396653711)*a^(5) - (26159325116)/(396653711)*a^(4) + (1987412768)/(396653711)*a^(3) + (3957600016)/(396653711)*a^(2) - (261501680)/(396653711)*a - (574756080)/(396653711) , (555795)/(793307422)*a^(31) + (4588028)/(396653711)*a^(30) - (6113745)/(1586614844)*a^(29) - (72261441)/(793307422)*a^(28) + (7225335)/(396653711)*a^(27) + (197286598)/(396653711)*a^(26) - (252886725)/(3173229688)*a^(25) - (929075670)/(396653711)*a^(24) + (529098741)/(1586614844)*a^(23) + (4055816752)/(396653711)*a^(22) - (8336925)/(12795281)*a^(21) - (12324590215)/(396653711)*a^(20) + (613597680)/(396653711)*a^(19) + (32529118520)/(396653711)*a^(18) - (4931569035)/(1586614844)*a^(17) - (307098568663)/(1586614844)*a^(16) + (1531771020)/(396653711)*a^(15) + (152707923952)/(396653711)*a^(14) + (6197252365)/(793307422)*a^(13) - (181958896466)/(396653711)*a^(12) + (1745196300)/(396653711)*a^(11) + (203891964320)/(396653711)*a^(10) - (2600564805)/(793307422)*a^(9) - (201854879888)/(396653711)*a^(8) + (197863020)/(396653711)*a^(7) + (143137871736)/(396653711)*a^(6) - (30012930)/(396653711)*a^(5) - (4666024476)/(396653711)*a^(4) + (13103243014)/(396653711)*a^(3) + (697380256)/(396653711)*a^(2) - (555795)/(396653711)*a + (304893151)/(396653711) , (19588389)/(396653711)*a^(31) + (16722861)/(793307422)*a^(30) - (1234068507)/(3173229688)*a^(29) - (265267503)/(1586614844)*a^(28) + (6738411139)/(3173229688)*a^(27) + (363316308)/(396653711)*a^(26) - (7933297545)/(793307422)*a^(25) - (1713943390)/(396653711)*a^(24) + (17316135876)/(396653711)*a^(23) + (7489613027)/(396653711)*a^(22) - (210477239805)/(1586614844)*a^(21) - (22890117215)/(396653711)*a^(20) + (138881678010)/(396653711)*a^(19) + (60604310186)/(396653711)*a^(18) - (1311165885063)/(1586614844)*a^(17) - (573712095703)/(1586614844)*a^(16) + (651979939476)/(396653711)*a^(15) + (286633525482)/(396653711)*a^(14) - (1553731427091)/(793307422)*a^(13) - (348350853106)/(396653711)*a^(12) + (870508007160)/(396653711)*a^(11) + (392380966000)/(396653711)*a^(10) - (861810762444)/(396653711)*a^(9) - (782555751623)/(793307422)*a^(8) + (610279650906)/(396653711)*a^(7) + (284383874116)/(396653711)*a^(6) - (19921391613)/(396653711)*a^(5) - (26159325116)/(396653711)*a^(4) + (2977435128)/(396653711)*a^(3) + (3957600016)/(396653711)*a^(2) - (391767780)/(396653711)*a - (574756080)/(396653711) , (279747)/(793307422)*a^(31) + (4588028)/(396653711)*a^(30) - (3077217)/(1586614844)*a^(29) - (72261441)/(793307422)*a^(28) + (3636711)/(396653711)*a^(27) + (197286598)/(396653711)*a^(26) - (127284885)/(3173229688)*a^(25) - (929075670)/(396653711)*a^(24) + (66583569)/(396653711)*a^(23) + (4055816752)/(396653711)*a^(22) - (4196205)/(12795281)*a^(21) - (12324590215)/(396653711)*a^(20) + (308840688)/(396653711)*a^(19) + (32529118520)/(396653711)*a^(18) - (2482195131)/(1586614844)*a^(17) - (307098568663)/(1586614844)*a^(16) + (770982732)/(396653711)*a^(15) + (152707923952)/(396653711)*a^(14) + (1565807478)/(396653711)*a^(13) - (181958896466)/(396653711)*a^(12) + (878405580)/(396653711)*a^(11) + (203891964320)/(396653711)*a^(10) - (1308936213)/(793307422)*a^(9) - (201854879888)/(396653711)*a^(8) + (99589932)/(396653711)*a^(7) + (143137871736)/(396653711)*a^(6) - (15106338)/(396653711)*a^(5) - (4666024476)/(396653711)*a^(4) + (7422085801)/(396653711)*a^(3) + (697380256)/(396653711)*a^(2) - (279747)/(396653711)*a + (304893151)/(396653711) , (8836375)/(793307422)*a^(31) + (5449278)/(396653711)*a^(30) - (31810950)/(396653711)*a^(29) - (84663441)/(793307422)*a^(28) + (666262675)/(1586614844)*a^(27) + (229755723)/(396653711)*a^(26) - (6136004913)/(3173229688)*a^(25) - (8628697255)/(3173229688)*a^(24) + (3304804250)/(396653711)*a^(23) + (4700031752)/(396653711)*a^(22) - (9246382800)/(396653711)*a^(21) - (14127014215)/(396653711)*a^(20) + (46753260125)/(793307422)*a^(19) + (37085992270)/(396653711)*a^(18) - (52982904500)/(396653711)*a^(17) - (348411008663)/(1586614844)*a^(16) + (195319857565)/(793307422)*a^(15) + (171747240618)/(396653711)*a^(14) - (77180433800)/(396653711)*a^(13) - (197003900466)/(396653711)*a^(12) + (80518816275)/(396653711)*a^(11) + (219587728820)/(396653711)*a^(10) - (64894338000)/(396653711)*a^(9) - (214504919888)/(396653711)*a^(8) + (9875532700)/(396653711)*a^(7) + (145062937736)/(396653711)*a^(6) + (84541182195)/(396653711)*a^(5) + (12156216242)/(396653711)*a^(4) + (222676650)/(396653711)*a^(3) + (740787256)/(396653711)*a^(2) - (28276400)/(396653711)*a - (97272560)/(396653711) , (87690611)/(3173229688)*a^(31) + (25801661)/(1586614844)*a^(30) - (684674343)/(3173229688)*a^(29) - (406227587)/(3173229688)*a^(28) + (3725870875)/(3173229688)*a^(27) + (1109270355)/(1586614844)*a^(26) - (8758022645)/(1586614844)*a^(25) - (5224533039)/(1586614844)*a^(24) + (9548713343)/(396653711)*a^(23) + (5702318850)/(396653711)*a^(22) - (1860077707)/(25590562)*a^(21) - (69317588335)/(1586614844)*a^(20) + (75899112596)/(396653711)*a^(19) + (183055132725)/(1586614844)*a^(18) - (714724218657)/(1586614844)*a^(17) - (108047941812)/(396653711)*a^(16) + (353729116730)/(396653711)*a^(15) + (430039350745)/(793307422)*a^(14) - (826031947093)/(793307422)*a^(13) - (256706714760)/(396653711)*a^(12) + (926567529425)/(793307422)*a^(11) + (577834554315)/(793307422)*a^(10) - (909867249231)/(793307422)*a^(9) - (573008793683)/(793307422)*a^(8) + (314259397255)/(396653711)*a^(7) + (204758824764)/(396653711)*a^(6) + (6598536737)/(396653711)*a^(5) - (10638385777)/(396653711)*a^(4) + (4176927464)/(396653711)*a^(3) + (4724967978)/(396653711)*a^(2) + (658039167)/(396653711)*a - (130280225)/(396653711) , (861250)/(396653711)*a^(31) + (5449278)/(396653711)*a^(30) - (6201000)/(396653711)*a^(29) - (84663441)/(793307422)*a^(28) + (32469125)/(396653711)*a^(27) + (229755723)/(396653711)*a^(26) - (1196091895)/(3173229688)*a^(25) - (8628697255)/(3173229688)*a^(24) + (644215000)/(396653711)*a^(23) + (4700031752)/(396653711)*a^(22) - (1802424000)/(396653711)*a^(21) - (14127014215)/(396653711)*a^(20) + (4556873750)/(396653711)*a^(19) + (37085992270)/(396653711)*a^(18) - (10328110000)/(396653711)*a^(17) - (348411008663)/(1586614844)*a^(16) + (19039316666)/(396653711)*a^(15) + (171747240618)/(396653711)*a^(14) - (15045004000)/(396653711)*a^(13) - (197003900466)/(396653711)*a^(12) + (15695764500)/(396653711)*a^(11) + (219587728820)/(396653711)*a^(10) - (12650040000)/(396653711)*a^(9) - (214504919888)/(396653711)*a^(8) + (1925066000)/(396653711)*a^(7) + (145062937736)/(396653711)*a^(6) + (16822240718)/(396653711)*a^(5) + (12156216242)/(396653711)*a^(4) + (43407000)/(396653711)*a^(3) + (740787256)/(396653711)*a^(2) - (5512000)/(396653711)*a - (97272560)/(396653711) ], 2660439411454.7925, [[x^2 - x - 1, 1], [x^2 - 2, 1], [x^2 - 10, 1], [x^4 - x^3 + x^2 - x + 1, 1], [x^4 - 6*x^2 + 4, 1], [x^4 + 10*x^2 + 20, 1], [x^4 - 20*x^2 + 50, 1], [x^4 - 4*x^2 + 2, 1], [x^4 + 20*x^2 + 90, 1], [x^4 + 20*x^2 + 10, 1], [x^8 + 2*x^6 + 4*x^4 + 8*x^2 + 16, 1], [x^8 - 12*x^6 + 30*x^4 - 24*x^2 + 4, 1], [x^8 + 20*x^6 + 110*x^4 + 200*x^2 + 100, 1], [x^8 - 40*x^6 + 500*x^4 - 2000*x^2 + 2450, 1], [x^8 - 40*x^6 + 500*x^4 - 2000*x^2 + 50, 1], [x^8 + 8*x^6 + 20*x^4 + 16*x^2 + 2, 1], [x^8 + 40*x^6 + 500*x^4 + 2000*x^2 + 1250, 1], [x^16 + 4*x^14 + 14*x^12 + 48*x^10 + 164*x^8 + 96*x^6 + 56*x^4 + 32*x^2 + 16, 1], [x^16 - 40*x^14 + 620*x^12 - 4800*x^10 + 19950*x^8 - 44000*x^6 + 47000*x^4 - 20000*x^2 + 2500, 1], [x^16 + 24*x^14 + 204*x^12 + 768*x^10 + 1390*x^8 + 1248*x^6 + 536*x^4 + 96*x^2 + 4, 1]]]