/* 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 - 20*x^18 + 129*x^16 - 177*x^14 - 1382*x^12 + 7269*x^10 - 16076*x^8 + 19707*x^6 - 13789*x^4 + 5066*x^2 - 727, 20, 303, [14, 3], -18513396751633196101360537305088, [2, 11, 727], [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, a^16, a^17, 1/1342862707*a^18 - 36194839/1342862707*a^16 - 324767669/1342862707*a^14 - 167017192/1342862707*a^12 + 43401208/1342862707*a^10 - 616070292/1342862707*a^8 + 544867220/1342862707*a^6 - 62972811/1342862707*a^4 + 280403868/1342862707*a^2 - 253290513/1342862707, 1/1342862707*a^19 - 36194839/1342862707*a^17 - 324767669/1342862707*a^15 - 167017192/1342862707*a^13 + 43401208/1342862707*a^11 - 616070292/1342862707*a^9 + 544867220/1342862707*a^7 - 62972811/1342862707*a^5 + 280403868/1342862707*a^3 - 253290513/1342862707*a], 0, 1, [], 1, [ (885269231)/(1342862707)*a^(18) - (16092641714)/(1342862707)*a^(16) + (85007995582)/(1342862707)*a^(14) - (3888658011)/(1342862707)*a^(12) - (1222089005304)/(1342862707)*a^(10) + (4223302921067)/(1342862707)*a^(8) - (6688069761999)/(1342862707)*a^(6) + (5594874901733)/(1342862707)*a^(4) - (2338395943917)/(1342862707)*a^(2) + (362549456506)/(1342862707) , (20185709)/(1342862707)*a^(18) - (460044826)/(1342862707)*a^(16) + (3418615406)/(1342862707)*a^(14) - (5580808017)/(1342862707)*a^(12) - (41103854245)/(1342862707)*a^(10) + (198204970833)/(1342862707)*a^(8) - (351027237481)/(1342862707)*a^(6) + (306487659983)/(1342862707)*a^(4) - (130914275390)/(1342862707)*a^(2) + (19254398656)/(1342862707) , (319638811)/(1342862707)*a^(18) - (5479388183)/(1342862707)*a^(16) + (25130357971)/(1342862707)*a^(14) + (22733786385)/(1342862707)*a^(12) - (409476384140)/(1342862707)*a^(10) + (1111313934973)/(1342862707)*a^(8) - (1403800192958)/(1342862707)*a^(6) + (913230092948)/(1342862707)*a^(4) - (288435308293)/(1342862707)*a^(2) + (36479179637)/(1342862707) , (647033488)/(1342862707)*a^(18) - (11859641711)/(1342862707)*a^(16) + (63747161303)/(1342862707)*a^(14) - (9583318493)/(1342862707)*a^(12) - (903651533676)/(1342862707)*a^(10) + (3203598870807)/(1342862707)*a^(8) - (5163602667003)/(1342862707)*a^(6) + (4391210771789)/(1342862707)*a^(4) - (1869432476481)/(1342862707)*a^(2) + (297221229455)/(1342862707) , (114479577)/(1342862707)*a^(18) - (1803741642)/(1342862707)*a^(16) + (6367387926)/(1342862707)*a^(14) + (19217739488)/(1342862707)*a^(12) - (130054572353)/(1342862707)*a^(10) + (206657669246)/(1342862707)*a^(8) - (48274396734)/(1342862707)*a^(6) - (173295637051)/(1342862707)*a^(4) + (164733064310)/(1342862707)*a^(2) - (42210771906)/(1342862707) , (222271468)/(1342862707)*a^(18) - (4292406429)/(1342862707)*a^(16) + (25557187763)/(1342862707)*a^(14) - (19056171931)/(1342862707)*a^(12) - (331872188350)/(1342862707)*a^(10) + (1371371731450)/(1342862707)*a^(8) - (2430396180030)/(1342862707)*a^(6) + (2225489459344)/(1342862707)*a^(4) - (1002963091659)/(1342862707)*a^(2) + (162778426184)/(1342862707) , (308447161)/(1342862707)*a^(18) - (5416511211)/(1342862707)*a^(16) + (26352828838)/(1342862707)*a^(14) + (13545585586)/(1342862707)*a^(12) - (411050422956)/(1342862707)*a^(10) + (1223229123202)/(1342862707)*a^(8) - (1679928607874)/(1342862707)*a^(6) + (1194285562879)/(1342862707)*a^(4) - (413753521906)/(1342862707)*a^(2) + (56531929023)/(1342862707) , (310260399)/(1342862707)*a^(18) - (5544910682)/(1342862707)*a^(16) + (28171401912)/(1342862707)*a^(14) + (5966904288)/(1342862707)*a^(12) - (420856951429)/(1342862707)*a^(10) + (1358622752375)/(1342862707)*a^(8) - (2023389721960)/(1342862707)*a^(6) + (1577266401273)/(1342862707)*a^(4) - (604197934177)/(1342862707)*a^(2) + (83908981260)/(1342862707) , (354550602)/(1342862707)*a^(19) - (674189413)/(1342862707)*a^(18) - (6383724074)/(1342862707)*a^(17) + (11863112257)/(1342862707)*a^(16) + (33097978981)/(1342862707)*a^(15) - (58228336952)/(1342862707)*a^(14) + (1621928334)/(1342862707)*a^(13) - (24355714719)/(1342862707)*a^(12) - (479166393998)/(1342862707)*a^(11) + (888642778138)/(1342862707)*a^(10) + (1628702066415)/(1342862707)*a^(9) - (2740016001388)/(1342862707)*a^(8) - (2577744974095)/(1342862707)*a^(7) + (3981545167053)/(1342862707)*a^(6) + (2175099879510)/(1342862707)*a^(5) - (3088329972458)/(1342862707)*a^(4) - (921679330352)/(1342862707)*a^(3) + (1210114638645)/(1342862707)*a^(2) + (143239101299)/(1342862707)*a - (179718280936)/(1342862707) , (576822070)/(1342862707)*a^(19) - (576822070)/(1342862707)*a^(18) - (10676130503)/(1342862707)*a^(17) + (10676130503)/(1342862707)*a^(16) + (58655166744)/(1342862707)*a^(15) - (58655166744)/(1342862707)*a^(14) - (17434243597)/(1342862707)*a^(13) + (17434243597)/(1342862707)*a^(12) - (811038582348)/(1342862707)*a^(11) + (811038582348)/(1342862707)*a^(10) + (3000073797865)/(1342862707)*a^(9) - (3000073797865)/(1342862707)*a^(8) - (5008141154125)/(1342862707)*a^(7) + (5008141154125)/(1342862707)*a^(6) + (4400589338854)/(1342862707)*a^(5) - (4400589338854)/(1342862707)*a^(4) - (1924642422011)/(1342862707)*a^(3) + (1924642422011)/(1342862707)*a^(2) + (306017527483)/(1342862707)*a - (306017527483)/(1342862707) , (336751045)/(1342862707)*a^(19) + (612972054)/(1342862707)*a^(18) - (6096148071)/(1342862707)*a^(17) - (11076768903)/(1342862707)*a^(16) + (31924575689)/(1342862707)*a^(15) + (57777428666)/(1342862707)*a^(14) + (161567557)/(1342862707)*a^(13) + (1735780799)/(1342862707)*a^(12) - (461926760703)/(1342862707)*a^(11) - (838707719871)/(1342862707)*a^(10) + (1578029400696)/(1342862707)*a^(9) + (2846611087508)/(1342862707)*a^(8) - (2478670576764)/(1342862707)*a^(7) - (4453239306572)/(1342862707)*a^(6) + (2052193822293)/(1342862707)*a^(5) + (3685251669437)/(1342862707)*a^(4) - (838230027349)/(1342862707)*a^(3) - (1521557073178)/(1342862707)*a^(2) + (119224791571)/(1342862707)*a + (230507452420)/(1342862707) , (336751045)/(1342862707)*a^(19) + (281653545)/(1342862707)*a^(18) - (6096148071)/(1342862707)*a^(17) - (4731767354)/(1342862707)*a^(16) + (31924575689)/(1342862707)*a^(15) + (20538339273)/(1342862707)*a^(14) + (161567557)/(1342862707)*a^(13) + (26854233625)/(1342862707)*a^(12) - (461926760703)/(1342862707)*a^(11) - (351132896600)/(1342862707)*a^(10) + (1578029400696)/(1342862707)*a^(9) + (862436298421)/(1342862707)*a^(8) - (2478670576764)/(1342862707)*a^(7) - (953698558146)/(1342862707)*a^(6) + (2052193822293)/(1342862707)*a^(5) + (483836375748)/(1342862707)*a^(4) - (838230027349)/(1342862707)*a^(3) - (74071729900)/(1342862707)*a^(2) + (119224791571)/(1342862707)*a - (8132391454)/(1342862707) , (172933082)/(1342862707)*a^(19) + (559709836)/(1342862707)*a^(18) - (3239756162)/(1342862707)*a^(17) - (10059370615)/(1342862707)*a^(16) + (18262994184)/(1342862707)*a^(15) + (51860949026)/(1342862707)*a^(14) - (8455325447)/(1342862707)*a^(13) + (5137975231)/(1342862707)*a^(12) - (245152347999)/(1342862707)*a^(11) - (758588205785)/(1342862707)*a^(10) + (950008829337)/(1342862707)*a^(9) + (2533358332142)/(1342862707)*a^(8) - (1650165918158)/(1342862707)*a^(7) - (3933270770319)/(1342862707)*a^(6) + (1525298014264)/(1342862707)*a^(5) + (3261625609509)/(1342862707)*a^(4) - (724084759233)/(1342862707)*a^(3) - (1374847702955)/(1342862707)*a^(2) + (137469271490)/(1342862707)*a + (224614778256)/(1342862707) , (9378412)/(1342862707)*a^(19) + (618426634)/(1342862707)*a^(18) + (65522499)/(1342862707)*a^(17) - (11046498383)/(1342862707)*a^(16) - (3041043941)/(1342862707)*a^(15) + (56114098664)/(1342862707)*a^(14) + (16766882097)/(1342862707)*a^(13) + (11304010844)/(1342862707)*a^(12) + (11380567289)/(1342862707)*a^(11) - (833927478847)/(1342862707)*a^(10) - (247308817402)/(1342862707)*a^(9) + (2707412416853)/(1342862707)*a^(8) + (619589529002)/(1342862707)*a^(7) - (4093911503189)/(1342862707)*a^(6) - (664036308325)/(1342862707)*a^(5) + (3297780746264)/(1342862707)*a^(4) + (315762625884)/(1342862707)*a^(3) - (1339306272204)/(1342862707)*a^(2) - (47429801623)/(1342862707)*a + (202494131327)/(1342862707) , (434708299)/(1342862707)*a^(19) - (434708299)/(1342862707)*a^(18) - (7499757854)/(1342862707)*a^(17) + (7499757854)/(1342862707)*a^(16) + (35042628835)/(1342862707)*a^(15) - (35042628835)/(1342862707)*a^(14) + (26395236067)/(1342862707)*a^(13) - (26395236067)/(1342862707)*a^(12) - (557158530858)/(1342862707)*a^(11) + (557158530858)/(1342862707)*a^(10) + (1578836517017)/(1342862707)*a^(9) - (1578836517017)/(1342862707)*a^(8) - (2134671186827)/(1342862707)*a^(7) + (2134671186827)/(1342862707)*a^(6) + (1563709311915)/(1342862707)*a^(5) - (1563709311915)/(1342862707)*a^(4) - (595549126652)/(1342862707)*a^(3) + (595549126652)/(1342862707)*a^(2) + (92428116182)/(1342862707)*a - (91085253475)/(1342862707) , (732642918)/(1342862707)*a^(19) - (826837770)/(1342862707)*a^(18) - (13299126777)/(1342862707)*a^(17) + (14875210152)/(1342862707)*a^(16) + (70123943210)/(1342862707)*a^(15) - (76763573026)/(1342862707)*a^(14) - (3317350216)/(1342862707)*a^(13) - (8072616586)/(1342862707)*a^(12) - (1003740553784)/(1342862707)*a^(11) + (1127859051202)/(1342862707)*a^(10) + (3483367161479)/(1342862707)*a^(9) - (3746898478712)/(1342862707)*a^(8) - (5583436688477)/(1342862707)*a^(7) + (5747720608854)/(1342862707)*a^(6) + (4786923623773)/(1342862707)*a^(5) - (4658031798641)/(1342862707)*a^(4) - (2098932462188)/(1342862707)*a^(3) + (1876582635329)/(1342862707)*a^(2) + (359398324332)/(1342862707)*a - (274271144320)/(1342862707) ], 370267344.661, [[x^5 - x^4 - 4*x^3 + 3*x^2 + 3*x - 1, 1], [x^10 - 2*x^9 - 3*x^8 + 12*x^7 - 7*x^6 - 20*x^5 + 17*x^4 + 16*x^3 - 6*x^2 - 6*x - 1, 1]]]