/* 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 + x^30 - 14*x^28 - 103*x^26 + 62*x^24 + 736*x^22 + 1892*x^20 + 4382*x^18 + 7111*x^16 + 4382*x^14 + 1892*x^12 + 736*x^10 + 62*x^8 - 103*x^6 - 14*x^4 + x^2 + 1, 32, 262, [0, 16], 5512695749115635425536000000000000000000000000, [2, 3, 5, 29], [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, a^15, 1/3*a^16 - 1/3*a^14 + 1/3*a^10 - 1/3*a^8 + 1/3*a^6 - 1/3*a^2 + 1/3, 1/3*a^17 - 1/3*a^15 + 1/3*a^11 - 1/3*a^9 + 1/3*a^7 - 1/3*a^3 + 1/3*a, 1/3*a^18 - 1/3*a^14 + 1/3*a^12 + 1/3*a^6 - 1/3*a^4 + 1/3, 1/3*a^19 - 1/3*a^15 + 1/3*a^13 + 1/3*a^7 - 1/3*a^5 + 1/3*a, 1/12*a^20 - 5/12*a^10 + 1/12, 1/12*a^21 - 5/12*a^11 + 1/12*a, 1/12*a^22 - 5/12*a^12 + 1/12*a^2, 1/12*a^23 - 5/12*a^13 + 1/12*a^3, 1/1440*a^24 + 1/96*a^22 + 1/32*a^20 - 41/360*a^18 + 1/24*a^16 - 11/96*a^14 - 419/1440*a^12 - 35/96*a^10 - 7/24*a^8 - 161/360*a^6 + 11/96*a^4 + 11/32*a^2 - 599/1440, 1/1440*a^25 + 1/96*a^23 + 1/32*a^21 - 41/360*a^19 + 1/24*a^17 - 11/96*a^15 - 419/1440*a^13 - 35/96*a^11 - 7/24*a^9 - 161/360*a^7 + 11/96*a^5 + 11/32*a^3 - 599/1440*a, 1/41760*a^26 - 1/6960*a^24 + 35/1392*a^22 - 389/41760*a^20 + 21/290*a^18 - 53/928*a^16 - 3517/20880*a^14 - 761/6960*a^12 - 653/2784*a^10 + 391/2610*a^8 + 881/4640*a^6 - 35/1392*a^4 - 5797/20880*a^2 + 2513/13920, 1/41760*a^27 - 1/6960*a^25 + 35/1392*a^23 - 389/41760*a^21 + 21/290*a^19 - 53/928*a^17 - 3517/20880*a^15 - 761/6960*a^13 - 653/2784*a^11 + 391/2610*a^9 + 881/4640*a^7 - 35/1392*a^5 - 5797/20880*a^3 + 2513/13920*a, 1/187251840*a^28 + 61/6241728*a^26 + 21589/62417280*a^24 - 2103697/93625920*a^22 + 29465/4161152*a^20 + 4520329/62417280*a^18 + 13057283/93625920*a^16 + 1966453/4161152*a^14 + 1974939/10402880*a^12 + 79457851/187251840*a^10 + 1500217/4161152*a^8 - 10249163/31208640*a^6 + 70804351/187251840*a^4 - 233107/6241728*a^2 + 6014539/62417280, 1/187251840*a^29 + 61/6241728*a^27 + 21589/62417280*a^25 - 2103697/93625920*a^23 + 29465/4161152*a^21 + 4520329/62417280*a^19 + 13057283/93625920*a^17 + 1966453/4161152*a^15 + 1974939/10402880*a^13 + 79457851/187251840*a^11 + 1500217/4161152*a^9 - 10249163/31208640*a^7 + 70804351/187251840*a^5 - 233107/6241728*a^3 + 6014539/62417280*a, 1/29024035200*a^30 + 1/468129600*a^28 + 10907/3224892800*a^26 + 289063/2902403520*a^24 + 834797477/29024035200*a^22 + 3838369/333609600*a^20 + 78744139/2902403520*a^18 - 3148591843/29024035200*a^16 - 131615707/4837339200*a^14 + 2496327887/5804807040*a^12 - 4970558263/29024035200*a^10 - 9887309/1612446400*a^8 - 996093481/5804807040*a^6 + 4077201151/14512017600*a^4 + 31126021/312086400*a^2 - 1088448923/2418669600, 1/29024035200*a^31 + 1/468129600*a^29 + 10907/3224892800*a^27 + 289063/2902403520*a^25 + 834797477/29024035200*a^23 + 3838369/333609600*a^21 + 78744139/2902403520*a^19 - 3148591843/29024035200*a^17 - 131615707/4837339200*a^15 + 2496327887/5804807040*a^13 - 4970558263/29024035200*a^11 - 9887309/1612446400*a^9 - 996093481/5804807040*a^7 + 4077201151/14512017600*a^5 + 31126021/312086400*a^3 - 1088448923/2418669600*a], 1, 8, [2, 4], 1, [ (1349327)/(7637904)*a^(30) + (192031)/(1231920)*a^(28) - (18919439)/(7637904)*a^(26) - (1366472867)/(76379040)*a^(24) + (16641793)/(1294560)*a^(22) + (1940310323)/(15275808)*a^(20) + (12229289849)/(38189520)*a^(18) + (28526856001)/(38189520)*a^(16) + (18266570483)/(15275808)*a^(14) + (53282180833)/(76379040)*a^(12) + (461294323)/(1294560)*a^(10) + (1181155003)/(7637904)*a^(8) + (1030608719)/(38189520)*a^(6) - (761364583)/(76379040)*a^(4) - (252679)/(492768)*a^(2) + (7529273)/(76379040) , (753437549)/(4837339200)*a^(30) + (199723943)/(936259200)*a^(28) - (200937167)/(95473800)*a^(26) - (97681228169)/(5804807040)*a^(24) + (663596959)/(190947600)*a^(22) + (3374833595767)/(29024035200)*a^(20) + (1961386685359)/(5804807040)*a^(18) + (5840262715247)/(7256008800)*a^(16) + (40539573422437)/(29024035200)*a^(14) + (342178380383)/(290240352)*a^(12) + (20109847056233)/(29024035200)*a^(10) + (9624918202957)/(29024035200)*a^(8) + (81067030991)/(725600880)*a^(6) + (331988665043)/(29024035200)*a^(4) - (145547671)/(117032400)*a^(2) - (35394589159)/(29024035200) , (172379353)/(4837339200)*a^(30) + (13896151)/(936259200)*a^(28) - (467216543)/(907001100)*a^(26) - (3917610745)/(1160961408)*a^(24) + (31110261769)/(7256008800)*a^(22) + (710042366819)/(29024035200)*a^(20) + (303994918351)/(5804807040)*a^(18) + (872091803479)/(7256008800)*a^(16) + (4967698026809)/(29024035200)*a^(14) + (10460556253)/(362800440)*a^(12) + (15388165999)/(1527580800)*a^(10) + (266539075949)/(29024035200)*a^(8) - (2147311417)/(725600880)*a^(6) - (260234611)/(491932800)*a^(4) + (53512049)/(12319200)*a^(2) + (30254625917)/(29024035200) , (19860983)/(151166850)*a^(30) + (399189)/(3250900)*a^(28) - (3336271687)/(1814002200)*a^(26) - (6483985279)/(483733920)*a^(24) + (21545508811)/(2418669600)*a^(22) + (691263750887)/(7256008800)*a^(20) + (29367445093)/(120933480)*a^(18) + (14255702931)/(25194475)*a^(16) + (6624813686357)/(7256008800)*a^(14) + (89154382223)/(161244640)*a^(12) + (34709227489)/(127298400)*a^(10) + (215127285263)/(1814002200)*a^(8) + (252201859)/(12093348)*a^(6) - (18464609239)/(2418669600)*a^(4) - (4859467)/(12319200)*a^(2) + (179715337)/(2418669600) , (115)/(18848)*a^(31) + (41338)/(1281075)*a^(30) + (24059)/(317376)*a^(29) - (17552)/(812725)*a^(28) + (295)/(43152)*a^(27) - (12965323)/(25194475)*a^(26) - (15535129)/(9838656)*a^(25) - (682929)/(265205)*a^(24) - (230269)/(32364)*a^(23) + (193386523)/(25194475)*a^(22) + (21153565)/(3279552)*a^(21) + (536302137)/(25194475)*a^(20) + (629384111)/(9838656)*a^(19) + (5444508)/(265205)*a^(18) + (53946997)/(307458)*a^(17) + (838982143)/(25194475)*a^(16) + (430129897)/(1093184)*a^(15) - (536052493)/(25194475)*a^(14) + (1539425189)/(2459664)*a^(13) - (73225773)/(265205)*a^(12) + (4804511849)/(9838656)*a^(11) - (5736807612)/(25194475)*a^(10) + (828068995)/(3279552)*a^(9) - (2569458748)/(25194475)*a^(8) + (253854209)/(2459664)*a^(7) - (14095761)/(265205)*a^(6) + (258381239)/(9838656)*a^(5) - (335169527)/(25194475)*a^(4) - (6785)/(6612)*a^(3) + (2503577)/(812725)*a^(2) - (23774599)/(9838656)*a + (16468333)/(75583425) , (226503101)/(2902403520)*a^(31) - (1349327)/(7637904)*a^(30) - (483299)/(37450368)*a^(29) - (192031)/(1231920)*a^(28) - (864907169)/(725600880)*a^(27) + (18919439)/(7637904)*a^(26) - (39276589183)/(5804807040)*a^(25) + (1366472867)/(76379040)*a^(24) + (4158438913)/(290240352)*a^(23) - (16641793)/(1294560)*a^(22) + (305155159973)/(5804807040)*a^(21) - (1940310323)/(15275808)*a^(20) + (461560139357)/(5804807040)*a^(19) - (12229289849)/(38189520)*a^(18) + (47749375063)/(290240352)*a^(17) - (28526856001)/(38189520)*a^(16) + (843303867383)/(5804807040)*a^(15) - (18266570483)/(15275808)*a^(14) - (240482924861)/(725600880)*a^(13) - (53282180833)/(76379040)*a^(12) - (333335065985)/(1160961408)*a^(11) - (461294323)/(1294560)*a^(10) - (35917215223)/(305516160)*a^(9) - (1181155003)/(7637904)*a^(8) - (13127844779)/(181400220)*a^(7) - (1030608719)/(38189520)*a^(6) - (1093778705)/(61103232)*a^(5) + (761364583)/(76379040)*a^(4) + (448709447)/(46812960)*a^(3) + (252679)/(492768)*a^(2) + (1895468255)/(1160961408)*a + (68849767)/(76379040) , (2051447)/(120933480)*a^(31) + (117455431)/(907001100)*a^(30) - (103325)/(1560432)*a^(29) + (23682281)/(234064800)*a^(28) - (32912035)/(96746784)*a^(27) - (703969169)/(381895200)*a^(26) - (9241099)/(15275808)*a^(25) - (18784094437)/(1451201760)*a^(24) + (956902765)/(96746784)*a^(23) + (2219948)/(202275)*a^(22) + (453563327)/(48373392)*a^(21) + (170088447721)/(1814002200)*a^(20) - (229683227)/(7637904)*a^(19) + (325107983609)/(1451201760)*a^(18) - (3149620803)/(32248928)*a^(17) + (3717848292071)/(7256008800)*a^(16) - (27342305449)/(96746784)*a^(15) + (5754581791849)/(7256008800)*a^(14) - (9275605285)/(15275808)*a^(13) + (64799699617)/(181400220)*a^(12) - (23306909891)/(48373392)*a^(11) + (3264415051)/(30745800)*a^(10) - (11926249969)/(48373392)*a^(9) + (233609191939)/(7256008800)*a^(8) - (1605838687)/(15275808)*a^(7) - (28397359543)/(1451201760)*a^(6) - (857963673)/(32248928)*a^(5) - (160304028469)/(7256008800)*a^(4) + (6950445)/(1040288)*a^(3) - (2464259)/(58516200)*a^(2) + (1773300293)/(725600880)*a + (201328969)/(907001100) , (9016238977)/(14512017600)*a^(31) - (39419117)/(1612446400)*a^(30) + (166273511)/(312086400)*a^(29) - (95507917)/(936259200)*a^(28) - (31853375491)/(3628004400)*a^(27) + (2035564483)/(7256008800)*a^(26) - (12557543807)/(200165760)*a^(25) + (21009777007)/(5804807040)*a^(24) + (57505952417)/(1209334800)*a^(23) + (45339636227)/(7256008800)*a^(22) + (221823001823)/(491932800)*a^(21) - (709035523733)/(29024035200)*a^(20) + (1288198139689)/(1160961408)*a^(19) - (118745634097)/(1160961408)*a^(18) + (2064730290423)/(806223200)*a^(17) - (54872906849)/(226750275)*a^(16) + (117588433743127)/(29024035200)*a^(15) - (14057810737763)/(29024035200)*a^(14) + (3110029239809)/(1451201760)*a^(13) - (429318742303)/(725600880)*a^(12) + (8538777281641)/(9674678400)*a^(11) - (425863541833)/(1527580800)*a^(10) + (193135093733)/(491932800)*a^(9) - (3090581343743)/(29024035200)*a^(8) + (977427478)/(45350055)*a^(7) - (61362759899)/(1451201760)*a^(6) - (490379878789)/(9674678400)*a^(5) + (203951585483)/(29024035200)*a^(4) + (922408259)/(117032400)*a^(3) + (3147683)/(424800)*a^(2) + (18166263011)/(29024035200)*a - (14566357579)/(29024035200) , (1117593917)/(3628004400)*a^(30) + (32613749)/(117032400)*a^(28) - (15659276899)/(3628004400)*a^(26) - (4541494031)/(145120176)*a^(24) + (78956888099)/(3628004400)*a^(22) + (201613894289)/(907001100)*a^(20) + (408561177689)/(725600880)*a^(18) + (4762872542159)/(3628004400)*a^(16) + (7650717332891)/(3628004400)*a^(14) + (907375437917)/(725600880)*a^(12) + (30026188469)/(47736900)*a^(10) + (991303196951)/(3628004400)*a^(8) + (34713677201)/(725600880)*a^(6) - (63861731551)/(3628004400)*a^(4) - (5588221)/(6159600)*a^(2) + (627213473)/(3628004400) , (4711005337)/(29024035200)*a^(30) + (62201657)/(468129600)*a^(28) - (3509464411)/(1527580800)*a^(26) - (47305797203)/(2902403520)*a^(24) + (337513409)/(25891200)*a^(22) + (3399844198271)/(29024035200)*a^(20) + (828399670699)/(2902403520)*a^(18) + (19129672088449)/(29024035200)*a^(16) + (15030480988153)/(14512017600)*a^(14) + (3053986232771)/(5804807040)*a^(12) + (108329535251)/(491932800)*a^(10) + (1436698047883)/(14512017600)*a^(8) + (1687409575)/(1160961408)*a^(6) - (240102655843)/(14512017600)*a^(4) + (1647500291)/(936259200)*a^(2) + (40227301)/(83402400) , (7529273)/(76379040)*a^(31) - (1526655901)/(9674678400)*a^(30) - (64129)/(821280)*a^(29) - (54342797)/(312086400)*a^(28) - (1222039)/(795615)*a^(27) + (1107907673)/(509193600)*a^(26) - (195440243)/(25459680)*a^(25) + (95564600689)/(5804807040)*a^(24) + (611095931)/(25459680)*a^(23) - (1334618071)/(169731200)*a^(22) + (1519893047)/(25459680)*a^(21) - (279043897657)/(2418669600)*a^(20) + (1514610967)/(25459680)*a^(19) - (1808001257747)/(5804807040)*a^(18) + (711224549)/(6364920)*a^(17) - (7112638381127)/(9674678400)*a^(16) - (1171017233)/(25459680)*a^(15) - (11870475690283)/(9674678400)*a^(14) - (19446526043)/(25459680)*a^(13) - (5135782952099)/(5804807040)*a^(12) - (4337421813)/(8486560)*a^(11) - (1203665569583)/(2418669600)*a^(10) - (7224940043)/(25459680)*a^(9) - (2231842938463)/(9674678400)*a^(8) - (118174324)/(795615)*a^(7) - (66869864335)/(1160961408)*a^(6) - (945577519)/(25459680)*a^(5) - (50110966097)/(9674678400)*a^(4) + (7053277)/(821280)*a^(3) + (260113987)/(312086400)*a^(2) + (23347259)/(38189520)*a + (17865701213)/(29024035200) , (166856371)/(1000828800)*a^(31) + (329520751)/(14512017600)*a^(30) + (134562949)/(468129600)*a^(29) - (841621)/(936259200)*a^(28) - (64971939023)/(29024035200)*a^(27) - (2496260291)/(7256008800)*a^(26) - (54798792289)/(2902403520)*a^(25) - (68136231)/(33946240)*a^(24) - (50534975077)/(29024035200)*a^(23) + (14062128313)/(3628004400)*a^(22) + (3851195214937)/(29024035200)*a^(21) + (448608691591)/(29024035200)*a^(20) + (233381161375)/(580480704)*a^(19) + (2554620619)/(101838720)*a^(18) + (27314568499343)/(29024035200)*a^(17) + (193811535433)/(3628004400)*a^(16) + (24259255670291)/(14512017600)*a^(15) + (1616794678201)/(29024035200)*a^(14) + (8647238295601)/(5804807040)*a^(13) - (627794031)/(8486560)*a^(12) + (20060320963463)/(29024035200)*a^(11) - (1913738300551)/(29024035200)*a^(10) + (4068791261351)/(14512017600)*a^(9) - (21544123891)/(1000828800)*a^(8) + (394501041949)/(5804807040)*a^(7) - (88105481)/(5091936)*a^(6) - (265065585401)/(14512017600)*a^(5) - (123486939121)/(29024035200)*a^(4) - (9425082623)/(936259200)*a^(3) + (99427967)/(117032400)*a^(2) + (1063139171)/(806223200)*a + (11241886633)/(29024035200) , (115)/(18848)*a^(31) - (8543373751)/(29024035200)*a^(30) + (24059)/(317376)*a^(29) - (159466841)/(468129600)*a^(28) + (295)/(43152)*a^(27) + (39508955909)/(9674678400)*a^(26) - (15535129)/(9838656)*a^(25) + (29959976399)/(967467840)*a^(24) - (230269)/(32364)*a^(23) - (395135903707)/(29024035200)*a^(22) + (21153565)/(3279552)*a^(21) - (710547490457)/(3224892800)*a^(20) + (629384111)/(9838656)*a^(19) - (190145199511)/(322489280)*a^(18) + (53946997)/(307458)*a^(17) - (39808889954287)/(29024035200)*a^(16) + (430129897)/(1093184)*a^(15) - (3683737474551)/(1612446400)*a^(14) + (1539425189)/(2459664)*a^(13) - (3082250764699)/(1934935680)*a^(12) + (4804511849)/(9838656)*a^(11) - (21107715795967)/(29024035200)*a^(10) + (828068995)/(3279552)*a^(9) - (1515322636033)/(4837339200)*a^(8) + (253854209)/(2459664)*a^(7) - (110993591263)/(1934935680)*a^(6) + (258381239)/(9838656)*a^(5) + (292556963509)/(14512017600)*a^(4) - (6785)/(6612)*a^(3) + (1692898709)/(312086400)*a^(2) - (33613255)/(9838656)*a - (3413912081)/(7256008800) , (1022086609)/(7256008800)*a^(31) - (9737657951)/(29024035200)*a^(30) - (2978593)/(58516200)*a^(29) - (9536923)/(32284800)*a^(28) - (15608957183)/(7256008800)*a^(27) + (136879059457)/(29024035200)*a^(26) - (5719440703)/(483733920)*a^(25) + (197199742157)/(5804807040)*a^(24) + (102666451789)/(3628004400)*a^(23) - (715072092617)/(29024035200)*a^(22) + (328894421801)/(3628004400)*a^(21) - (439417476413)/(1814002200)*a^(20) + (15403778327)/(120933480)*a^(19) - (703929131183)/(1160961408)*a^(18) + (1906480578923)/(7256008800)*a^(17) - (40928104945397)/(29024035200)*a^(16) + (44183739293)/(250207200)*a^(15) - (65347893161213)/(29024035200)*a^(14) - (11486543251)/(16124464)*a^(13) - (7435797702199)/(5804807040)*a^(12) - (101900011739)/(190947600)*a^(11) - (58951253063)/(95473800)*a^(10) - (255619647151)/(907001100)*a^(9) - (7990383110693)/(29024035200)*a^(8) - (72262662629)/(483733920)*a^(7) - (3347892689)/(98386560)*a^(6) - (157273627)/(4240800)*a^(5) + (511648249033)/(29024035200)*a^(4) + (69323459)/(6159600)*a^(3) - (57008297)/(49276800)*a^(2) + (311763919)/(250207200)*a + (3252979147)/(9674678400) , (6790193)/(40994400)*a^(31) - (551143)/(226750275)*a^(30) + (2916179)/(29258100)*a^(29) - (345121)/(19505400)*a^(28) - (937045699)/(403111600)*a^(27) + (11496413)/(806223200)*a^(26) - (11673628297)/(725600880)*a^(25) + (34954589)/(76379040)*a^(24) + (117627530707)/(7256008800)*a^(23) + (1196101197)/(806223200)*a^(22) + (135162815293)/(1209334800)*a^(21) - (1357149529)/(604667400)*a^(20) + (97850861467)/(362800440)*a^(19) - (38026352)/(2386845)*a^(18) + (2337789017231)/(3628004400)*a^(17) - (104133265619)/(2418669600)*a^(16) + (63317521967)/(63649200)*a^(15) - (75748591167)/(806223200)*a^(14) + (728492262637)/(1451201760)*a^(13) - (2167209935)/(15275808)*a^(12) + (1484865600221)/(3628004400)*a^(11) - (22237951567)/(201555800)*a^(10) + (58697712607)/(302333700)*a^(9) - (18212781667)/(302333700)*a^(8) + (34852816997)/(725600880)*a^(7) - (1769611273)/(76379040)*a^(6) + (48002540441)/(3628004400)*a^(5) - (14275137359)/(2418669600)*a^(4) + (387667231)/(78021600)*a^(3) + (120935189)/(78021600)*a^(2) - (24569755261)/(7256008800)*a + (164244239)/(302333700) ], 22391784240.2237, [[x^2 - 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