/* 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^20 - 64*x^18 + 1244*x^16 - 6262*x^14 - 20928*x^12 + 216742*x^10 - 261295*x^8 - 616048*x^6 + 352190*x^4 + 96316*x^2 + 4913, 20, 514, [12, 4], 38251599236941169123840379965550626865152, [2, 17, 37], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, 1/2*a^10 - 1/2*a^4 - 1/2, 1/2*a^11 - 1/2*a^5 - 1/2*a, 1/2*a^12 - 1/2*a^6 - 1/2*a^2, 1/2*a^13 - 1/2*a^7 - 1/2*a^3, 1/2*a^14 - 1/2*a^8 - 1/2*a^4, 1/4*a^15 - 1/4*a^12 - 1/4*a^10 + 1/4*a^9 - 1/2*a^8 - 1/2*a^7 + 1/4*a^6 - 1/4*a^5 + 1/4*a^4 + 1/4*a^2 - 1/2*a - 1/4, 1/252932*a^16 + 17953/126466*a^14 - 1/4*a^13 - 11609/63233*a^12 - 1/4*a^11 + 40097/252932*a^10 - 1/2*a^9 - 23589/63233*a^8 + 1/4*a^7 + 124231/252932*a^6 + 1/4*a^5 - 1323/3418*a^4 + 1/4*a^3 - 44239/126466*a^2 - 1/4*a + 10405/63233, 1/252932*a^17 - 27327/252932*a^15 - 1/4*a^14 - 11609/63233*a^13 + 40097/252932*a^11 - 1/4*a^10 + 95343/252932*a^9 - 1/4*a^8 - 2235/252932*a^7 - 937/6836*a^5 - 44239/126466*a^3 - 1/2*a^2 - 42423/126466*a + 1/4, 1/1329149207641755919588*a^18 + 11296960850977/17961475778942647562*a^16 - 42097524763567605435/664574603820877959794*a^14 - 1/4*a^13 - 49069351185774167337/332287301910438979897*a^12 - 92043491175807884409/1329149207641755919588*a^10 - 1/2*a^9 - 410841741399278206781/1329149207641755919588*a^8 - 1/4*a^7 - 110131585025698316485/1329149207641755919588*a^6 - 1/2*a^5 - 517203118387215310851/1329149207641755919588*a^4 - 1/4*a^3 - 222568422163580905447/1329149207641755919588*a^2 + 302456850705355010399/1329149207641755919588, 1/22595536529909850632996*a^19 + 21437853881436585/11297768264954925316498*a^17 - 236152918192929400323/22595536529909850632996*a^15 - 1/4*a^14 + 127465996186314569409/5648884132477462658249*a^13 - 1/4*a^12 - 4387547765099664257971/22595536529909850632996*a^11 - 1/4*a^10 - 1025765821441906012967/11297768264954925316498*a^9 + 1/4*a^8 - 3526963406624966564375/22595536529909850632996*a^7 - 1/4*a^6 - 909028779881378385426/5648884132477462658249*a^5 - 1/2*a^4 + 1374436942120733420089/22595536529909850632996*a^3 + 1/4*a^2 - 9910192344765373973253/22595536529909850632996*a + 1/4], 0, 2, [2], 1, [ (1134133401545)/(194433763552041533)*a^(18) - (143832130993363)/(388867527104083066)*a^(16) + (1368227363431775)/(194433763552041533)*a^(14) - (12560405805953535)/(388867527104083066)*a^(12) - (27712831548262648)/(194433763552041533)*a^(10) + (230428748600974654)/(194433763552041533)*a^(8) - (152278742727297396)/(194433763552041533)*a^(6) - (1660191817379594645)/(388867527104083066)*a^(4) - (343731673625369073)/(388867527104083066)*a^(2) + (144725814843137789)/(388867527104083066) , (37644105994057348)/(332287301910438979897)*a^(18) - (2398001906701047018)/(332287301910438979897)*a^(16) + (46194002477077758432)/(332287301910438979897)*a^(14) - (226611499402253697372)/(332287301910438979897)*a^(12) - (781919872748375870856)/(332287301910438979897)*a^(10) + (7828738982631602324385)/(332287301910438979897)*a^(8) - (9668060734077370705508)/(332287301910438979897)*a^(6) - (20748815325234131321832)/(332287301910438979897)*a^(4) + (14476531896217958869092)/(332287301910438979897)*a^(2) + (2060243429954182619266)/(332287301910438979897) , (53764471958278)/(25560561685418383069)*a^(18) - (3194471698262755)/(25560561685418383069)*a^(16) + (49836322574552662)/(25560561685418383069)*a^(14) + (43277120790001378)/(25560561685418383069)*a^(12) - (3775519088494948088)/(25560561685418383069)*a^(10) + (6921618253845603082)/(25560561685418383069)*a^(8) + (76236460742772617574)/(25560561685418383069)*a^(6) - (151815626068822196407)/(25560561685418383069)*a^(4) - (315646925771314488706)/(25560561685418383069)*a^(2) - (21144194192631397888)/(25560561685418383069) , (61615093716510791)/(332287301910438979897)*a^(18) - (7863160634399816851)/(664574603820877959794)*a^(16) + (151938965811503703451)/(664574603820877959794)*a^(14) - (751014945912539042209)/(664574603820877959794)*a^(12) - (35032881601160226074)/(8980737889471323781)*a^(10) + (26098450823022802200651)/(664574603820877959794)*a^(8) - (15691980320100125684621)/(332287301910438979897)*a^(6) - (21516089177405132707)/(194433763552041533)*a^(4) + (50540831497603185069503)/(664574603820877959794)*a^(2) + (3788344266399214051363)/(664574603820877959794) , (169529539990574280)/(332287301910438979897)*a^(18) - (10797063964444766069)/(332287301910438979897)*a^(16) + (207867287464770057248)/(332287301910438979897)*a^(14) - (1016536881944054033847)/(332287301910438979897)*a^(12) - (3553598357581974001432)/(332287301910438979897)*a^(10) + (35225600698205942755969)/(332287301910438979897)*a^(8) - (42477367029085494352230)/(332287301910438979897)*a^(6) - (95160426810331248786214)/(332287301910438979897)*a^(4) + (61367662469548077405582)/(332287301910438979897)*a^(2) + (10525949124691740543055)/(332287301910438979897) , (156731980698041826)/(332287301910438979897)*a^(18) - (9985135871620888748)/(332287301910438979897)*a^(16) + (192434586011755886654)/(332287301910438979897)*a^(14) - (947150127199731204979)/(332287301910438979897)*a^(12) - (3210363684120603208216)/(332287301910438979897)*a^(10) + (32547432375650987709392)/(332287301910438979897)*a^(8) - (41613479755813707147144)/(332287301910438979897)*a^(6) - (82934824160531835531629)/(332287301910438979897)*a^(4) + (64531599188270327735124)/(332287301910438979897)*a^(2) + (4620556315440764975347)/(332287301910438979897) , (19300728626982818447)/(11297768264954925316498)*a^(19) + (1134133401545)/(388867527104083066)*a^(18) - (1236568349847775365997)/(11297768264954925316498)*a^(17) - (143832130993363)/(777735054208166132)*a^(16) + (48189824483641904916397)/(22595536529909850632996)*a^(15) + (1368227363431775)/(388867527104083066)*a^(14) - (245037210347625511849427)/(22595536529909850632996)*a^(13) - (12560405805953535)/(777735054208166132)*a^(12) - (790831975293897410550543)/(22595536529909850632996)*a^(11) - (13856415774131324)/(194433763552041533)*a^(10) + (8420361779265106737218521)/(22595536529909850632996)*a^(9) + (115214374300487327)/(194433763552041533)*a^(8) - (10670894515064889871148187)/(22595536529909850632996)*a^(7) - (76139371363648698)/(194433763552041533)*a^(6) - (5758249412052349015418432)/(5648884132477462658249)*a^(5) - (1660191817379594645)/(777735054208166132)*a^(4) + (15222085071092642263847129)/(22595536529909850632996)*a^(3) - (343731673625369073)/(777735054208166132)*a^(2) + (2689836345833737430858921)/(22595536529909850632996)*a - (244141712260945277)/(777735054208166132) , (19300728626982818447)/(11297768264954925316498)*a^(19) - (1134133401545)/(388867527104083066)*a^(18) - (1236568349847775365997)/(11297768264954925316498)*a^(17) + (143832130993363)/(777735054208166132)*a^(16) + (48189824483641904916397)/(22595536529909850632996)*a^(15) - (1368227363431775)/(388867527104083066)*a^(14) - (245037210347625511849427)/(22595536529909850632996)*a^(13) + (12560405805953535)/(777735054208166132)*a^(12) - (790831975293897410550543)/(22595536529909850632996)*a^(11) + (13856415774131324)/(194433763552041533)*a^(10) + (8420361779265106737218521)/(22595536529909850632996)*a^(9) - (115214374300487327)/(194433763552041533)*a^(8) - (10670894515064889871148187)/(22595536529909850632996)*a^(7) + (76139371363648698)/(194433763552041533)*a^(6) - (5758249412052349015418432)/(5648884132477462658249)*a^(5) + (1660191817379594645)/(777735054208166132)*a^(4) + (15222085071092642263847129)/(22595536529909850632996)*a^(3) + (343731673625369073)/(777735054208166132)*a^(2) + (2689836345833737430858921)/(22595536529909850632996)*a + (244141712260945277)/(777735054208166132) , (6760711724118568391)/(11297768264954925316498)*a^(19) - (85214395766341515)/(1329149207641755919588)*a^(18) - (864567065419386188109)/(22595536529909850632996)*a^(17) + (5764730019056072655)/(1329149207641755919588)*a^(16) + (16782195525571232902585)/(22595536529909850632996)*a^(15) - (124274763614215044229)/(1329149207641755919588)*a^(14) - (42215852579488069866401)/(11297768264954925316498)*a^(13) + (412472683736640641187)/(664574603820877959794)*a^(12) - (138004090801459009577095)/(11297768264954925316498)*a^(11) + (1335791819529590015577)/(1329149207641755919588)*a^(10) + (2897991263823950941768937)/(22595536529909850632996)*a^(9) - (13404742018973653351533)/(664574603820877959794)*a^(8) - (3712617648850676626996583)/(22595536529909850632996)*a^(7) + (11257112589073600807765)/(332287301910438979897)*a^(6) - (3834562623584110608787645)/(11297768264954925316498)*a^(5) + (76012228124960149441065)/(1329149207641755919588)*a^(4) + (1368297036749457262157020)/(5648884132477462658249)*a^(3) - (59983634829589900564465)/(1329149207641755919588)*a^(2) + (622697428713873665898921)/(22595536529909850632996)*a - (2506806158257202949959)/(664574603820877959794) , (6760711724118568391)/(11297768264954925316498)*a^(19) + (85214395766341515)/(1329149207641755919588)*a^(18) - (864567065419386188109)/(22595536529909850632996)*a^(17) - (5764730019056072655)/(1329149207641755919588)*a^(16) + (16782195525571232902585)/(22595536529909850632996)*a^(15) + (124274763614215044229)/(1329149207641755919588)*a^(14) - (42215852579488069866401)/(11297768264954925316498)*a^(13) - (412472683736640641187)/(664574603820877959794)*a^(12) - (138004090801459009577095)/(11297768264954925316498)*a^(11) - (1335791819529590015577)/(1329149207641755919588)*a^(10) + (2897991263823950941768937)/(22595536529909850632996)*a^(9) + (13404742018973653351533)/(664574603820877959794)*a^(8) - (3712617648850676626996583)/(22595536529909850632996)*a^(7) - (11257112589073600807765)/(332287301910438979897)*a^(6) - (3834562623584110608787645)/(11297768264954925316498)*a^(5) - (76012228124960149441065)/(1329149207641755919588)*a^(4) + (1368297036749457262157020)/(5648884132477462658249)*a^(3) + (59983634829589900564465)/(1329149207641755919588)*a^(2) + (622697428713873665898921)/(22595536529909850632996)*a + (2506806158257202949959)/(664574603820877959794) , (63344011132609608)/(332287301910438979897)*a^(18) - (4093474863460147769)/(332287301910438979897)*a^(16) + (81231500941320201182)/(332287301910438979897)*a^(14) - (880481818669321611125)/(664574603820877959794)*a^(12) - (2332487358810189277353)/(664574603820877959794)*a^(10) + (14686680849960531605447)/(332287301910438979897)*a^(8) - (45139109256033439044429)/(664574603820877959794)*a^(6) - (71153837806750950580687)/(664574603820877959794)*a^(4) + (77707390573202726310257)/(664574603820877959794)*a^(2) + (6407120165696515717021)/(664574603820877959794) , (10423393593115246019)/(22595536529909850632996)*a^(19) - (45858521315628265)/(1329149207641755919588)*a^(18) - (167052277658900580142)/(5648884132477462658249)*a^(17) + (2989662876231598459)/(1329149207641755919588)*a^(16) + (13035722589658891304877)/(22595536529909850632996)*a^(15) - (60306832109716107559)/(1329149207641755919588)*a^(14) - (16632514175821091532251)/(5648884132477462658249)*a^(13) + (341174511020831513465)/(1329149207641755919588)*a^(12) - (53277628895054085346207)/(5648884132477462658249)*a^(11) + (832632798954995671011)/(1329149207641755919588)*a^(10) + (15436314903459648688471)/(152672544121012504277)*a^(9) - (2816476127774048787438)/(332287301910438979897)*a^(8) - (2909099995889231963576153)/(22595536529909850632996)*a^(7) + (17462592327074735549209)/(1329149207641755919588)*a^(6) - (6259479696798451804965087)/(22595536529909850632996)*a^(5) + (27238213607586475937783)/(1329149207641755919588)*a^(4) + (4201507428561329814282185)/(22595536529909850632996)*a^(3) - (7549824000125037967931)/(332287301910438979897)*a^(2) + (202878728911805460113771)/(5648884132477462658249)*a - (626738874001787828305)/(332287301910438979897) , (972584920840701019)/(22595536529909850632996)*a^(19) + (162823034215501089)/(1329149207641755919588)*a^(18) - (57659544828805654259)/(22595536529909850632996)*a^(17) - (4865466842084064923)/(664574603820877959794)*a^(16) + (943495805998949362381)/(22595536529909850632996)*a^(15) + (81121390119138840485)/(664574603820877959794)*a^(14) - (1970758001726950434553)/(22595536529909850632996)*a^(13) - (96453447306869638724)/(332287301910438979897)*a^(12) - (6018009911509135220955)/(5648884132477462658249)*a^(11) - (2096706573574310388019)/(664574603820877959794)*a^(10) + (20582932634103602884838)/(5648884132477462658249)*a^(9) + (16328599470345392176911)/(1329149207641755919588)*a^(8) - (2195959701007271041805)/(22595536529909850632996)*a^(7) + (1755154346627015446981)/(1329149207641755919588)*a^(6) - (5953324070856421186735)/(11297768264954925316498)*a^(5) - (7431653201949364601293)/(332287301910438979897)*a^(4) + (39863620208205592113231)/(5648884132477462658249)*a^(3) + (13973194112393046021027)/(1329149207641755919588)*a^(2) - (104261002337923634149261)/(22595536529909850632996)*a + (2375726258980924077277)/(664574603820877959794) , (341429965153351981)/(1738118194608450048692)*a^(19) + (112141922307906025)/(664574603820877959794)*a^(18) - (5484124411697904774)/(434529548652112512173)*a^(17) - (14248206655063443037)/(1329149207641755919588)*a^(16) + (107503422837760028513)/(434529548652112512173)*a^(15) + (272907504930831995609)/(1329149207641755919588)*a^(14) - (2234054366535529193507)/(1738118194608450048692)*a^(13) - (328181078462771279998)/(332287301910438979897)*a^(12) - (1692446411614315300693)/(434529548652112512173)*a^(11) - (4713927264992552158467)/(1329149207641755919588)*a^(10) + (76023686861589455460067)/(1738118194608450048692)*a^(9) + (45377366151357862362077)/(1329149207641755919588)*a^(8) - (25653013469669100241028)/(434529548652112512173)*a^(7) - (54879713810863527535607)/(1329149207641755919588)*a^(6) - (50038313686992367985022)/(434529548652112512173)*a^(5) - (115191203045491936354283)/(1329149207641755919588)*a^(4) + (36172752470796667101148)/(434529548652112512173)*a^(3) + (22256682329280512144321)/(332287301910438979897)*a^(2) + (2486891356147314988395)/(869059097304225024346)*a + (2954286898923002346490)/(332287301910438979897) , (19170122421858421307)/(11297768264954925316498)*a^(19) + (918726737429250871)/(664574603820877959794)*a^(18) - (607774669945767552372)/(5648884132477462658249)*a^(17) - (29045162642878649820)/(332287301910438979897)*a^(16) + (46253911108375416344177)/(22595536529909850632996)*a^(15) + (549195584450717834062)/(332287301910438979897)*a^(14) - (53133760959358142557358)/(5648884132477462658249)*a^(13) - (9845333775410118975861)/(1329149207641755919588)*a^(12) - (465405787990301796437461)/(11297768264954925316498)*a^(11) - (45508236953270739046021)/(1329149207641755919588)*a^(10) + (7755351851750810335594159)/(22595536529909850632996)*a^(9) + (90543784968441480275242)/(332287301910438979897)*a^(8) - (1327727143578279467245542)/(5648884132477462658249)*a^(7) - (217813492174589499671005)/(1329149207641755919588)*a^(6) - (26719754079810286652088111)/(22595536529909850632996)*a^(5) - (1254626596558389450192055)/(1329149207641755919588)*a^(4) - (1792265034338535092229667)/(11297768264954925316498)*a^(3) - (230540670251277017163097)/(1329149207641755919588)*a^(2) + (470814408705314867832)/(5648884132477462658249)*a - (8292418380129960164825)/(1329149207641755919588) ], 12316530469600, [[x^2 - 2, 1], [x^5 - x^4 - 8*x^3 + 3*x^2 + 13*x + 3, 1], [x^10 - 2*x^9 - 25*x^8 + 38*x^7 + 180*x^6 - 200*x^5 - 373*x^4 + 374*x^3 + 143*x^2 - 142*x + 23, 1]]]