/* 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 - x^19 + 3*x^18 - 4*x^17 + 5*x^16 - 7*x^15 + 8*x^14 - x^13 + 8*x^12 - 3*x^11 + 3*x^10 + 3*x^9 - 13*x^8 + 17*x^7 + 8*x^6 - 8*x^5 + x^4 + 4*x^3 + 1, 20, 81, [0, 10], 362355421972633207561, [47, 83], [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, 1/5*a^18 - 1/5*a^17 - 1/5*a^16 - 1/5*a^14 - 2/5*a^13 + 2/5*a^12 + 2/5*a^11 - 1/5*a^9 - 2/5*a^8 + 2/5*a^7 - 1/5*a^5 - 2/5*a^4 + 1/5*a^3 - 1/5*a^2 - 1/5, 1/2194608515*a^19 + 74558294/2194608515*a^18 - 1017294346/2194608515*a^17 + 6939284/39901973*a^16 + 856912424/2194608515*a^15 - 994013257/2194608515*a^14 - 586393183/2194608515*a^13 - 382352308/2194608515*a^12 + 9694604/438921703*a^11 - 654463201/2194608515*a^10 + 509560233/2194608515*a^9 + 127710497/2194608515*a^8 - 19417716/438921703*a^7 + 941830149/2194608515*a^6 - 675824012/2194608515*a^5 - 811533444/2194608515*a^4 - 1050222631/2194608515*a^3 + 195415228/438921703*a^2 + 339804044/2194608515*a - 29307092/438921703], 0, 1, [], 0, [ (17167678)/(39901973)*a^(19) - (198448696)/(199509865)*a^(18) + (459542381)/(199509865)*a^(17) - (840311969)/(199509865)*a^(16) + (260122109)/(39901973)*a^(15) - (1849657884)/(199509865)*a^(14) + (2532135297)/(199509865)*a^(13) - (2478167597)/(199509865)*a^(12) + (2760348783)/(199509865)*a^(11) - (578017673)/(39901973)*a^(10) + (2728324706)/(199509865)*a^(9) - (1951319303)/(199509865)*a^(8) + (521684558)/(199509865)*a^(7) + (368598185)/(39901973)*a^(6) - (1381145139)/(199509865)*a^(5) + (302967502)/(199509865)*a^(4) + (53721484)/(199509865)*a^(3) + (280222406)/(199509865)*a^(2) - (56123045)/(39901973)*a + (294207701)/(199509865) , (35747331)/(438921703)*a^(19) - (145326186)/(2194608515)*a^(18) + (403294346)/(2194608515)*a^(17) - (16979709)/(199509865)*a^(16) + (12943137)/(438921703)*a^(15) + (338271231)/(2194608515)*a^(14) - (1035587648)/(2194608515)*a^(13) + (2580202278)/(2194608515)*a^(12) - (2523174922)/(2194608515)*a^(11) + (644125245)/(438921703)*a^(10) - (1462277224)/(2194608515)*a^(9) + (4268504467)/(2194608515)*a^(8) - (4522480687)/(2194608515)*a^(7) + (416180518)/(438921703)*a^(6) + (2431179411)/(2194608515)*a^(5) - (9009900908)/(2194608515)*a^(4) + (6052739344)/(2194608515)*a^(3) + (2462644731)/(2194608515)*a^(2) - (267045956)/(438921703)*a - (225933434)/(2194608515) , (140164190)/(438921703)*a^(19) - (3029118987)/(2194608515)*a^(18) + (5495443702)/(2194608515)*a^(17) - (1056094673)/(199509865)*a^(16) + (3543454491)/(438921703)*a^(15) - (24383649848)/(2194608515)*a^(14) + (34129248594)/(2194608515)*a^(13) - (36148677594)/(2194608515)*a^(12) + (30310058261)/(2194608515)*a^(11) - (7978649180)/(438921703)*a^(10) + (33598390482)/(2194608515)*a^(9) - (25547226321)/(2194608515)*a^(8) + (7023841916)/(2194608515)*a^(7) + (6150886199)/(438921703)*a^(6) - (34791286373)/(2194608515)*a^(5) - (2801703951)/(2194608515)*a^(4) + (9638984958)/(2194608515)*a^(3) + (2035043012)/(2194608515)*a^(2) - (595370537)/(438921703)*a + (2421876982)/(2194608515) , (599914055)/(438921703)*a^(19) - (6328764117)/(2194608515)*a^(18) + (14781313397)/(2194608515)*a^(17) - (2359285278)/(199509865)*a^(16) + (7763200751)/(438921703)*a^(15) - (54448405703)/(2194608515)*a^(14) + (72218992069)/(2194608515)*a^(13) - (65019050674)/(2194608515)*a^(12) + (72818839881)/(2194608515)*a^(11) - (14485773913)/(438921703)*a^(10) + (68365953842)/(2194608515)*a^(9) - (42559432106)/(2194608515)*a^(8) - (5470702269)/(2194608515)*a^(7) + (14242725327)/(438921703)*a^(6) - (43343911258)/(2194608515)*a^(5) - (4552730366)/(2194608515)*a^(4) + (15215114478)/(2194608515)*a^(3) + (4852902172)/(2194608515)*a^(2) - (1309620302)/(438921703)*a + (5352449662)/(2194608515) , (5352449662)/(2194608515)*a^(19) - (8352019937)/(2194608515)*a^(18) + (22386113103)/(2194608515)*a^(17) - (658020219)/(39901973)*a^(16) + (52714386368)/(2194608515)*a^(15) - (76283151389)/(2194608515)*a^(14) + (97268002999)/(2194608515)*a^(13) - (77571441731)/(2194608515)*a^(12) + (21567729594)/(438921703)*a^(11) - (88876188867)/(2194608515)*a^(10) + (88486218551)/(2194608515)*a^(9) - (52308604856)/(2194608515)*a^(8) - (5404482700)/(438921703)*a^(7) + (96462346523)/(2194608515)*a^(6) - (28394029339)/(2194608515)*a^(5) + (524313962)/(2194608515)*a^(4) + (9905180028)/(2194608515)*a^(3) + (1238936834)/(438921703)*a^(2) - (4852902172)/(2194608515)*a + (1309620302)/(438921703) , (2707494034)/(2194608515)*a^(19) - (5555157859)/(2194608515)*a^(18) + (12429096146)/(2194608515)*a^(17) - (400515119)/(39901973)*a^(16) + (31963004506)/(2194608515)*a^(15) - (44760304288)/(2194608515)*a^(14) + (59543687813)/(2194608515)*a^(13) - (50880774287)/(2194608515)*a^(12) + (11611246756)/(438921703)*a^(11) - (61335888844)/(2194608515)*a^(10) + (53948495212)/(2194608515)*a^(9) - (33498872742)/(2194608515)*a^(8) - (1695935381)/(438921703)*a^(7) + (61586534701)/(2194608515)*a^(6) - (26555629888)/(2194608515)*a^(5) - (15417470496)/(2194608515)*a^(4) + (8340201046)/(2194608515)*a^(3) + (2034866506)/(438921703)*a^(2) - (6407575579)/(2194608515)*a + (507156570)/(438921703) , (2529411972)/(2194608515)*a^(19) - (5532330713)/(2194608515)*a^(18) + (12279972399)/(2194608515)*a^(17) - (1995362534)/(199509865)*a^(16) + (32003869343)/(2194608515)*a^(15) - (44568041303)/(2194608515)*a^(14) + (58830908611)/(2194608515)*a^(13) - (51404782113)/(2194608515)*a^(12) + (55323097553)/(2194608515)*a^(11) - (57669217082)/(2194608515)*a^(10) + (50985256052)/(2194608515)*a^(9) - (30691585729)/(2194608515)*a^(8) - (11694648927)/(2194608515)*a^(7) + (65504322668)/(2194608515)*a^(6) - (38687198478)/(2194608515)*a^(5) - (11043805931)/(2194608515)*a^(4) + (15212489607)/(2194608515)*a^(3) + (4352691061)/(2194608515)*a^(2) - (6269809532)/(2194608515)*a + (3185400421)/(2194608515) , (3769389187)/(2194608515)*a^(19) - (5479438171)/(2194608515)*a^(18) + (14363617537)/(2194608515)*a^(17) - (2064386926)/(199509865)*a^(16) + (31905425633)/(2194608515)*a^(15) - (9127974501)/(438921703)*a^(14) + (57768211187)/(2194608515)*a^(13) - (40322926184)/(2194608515)*a^(12) + (61538631897)/(2194608515)*a^(11) - (51031028432)/(2194608515)*a^(10) + (9741648969)/(438921703)*a^(9) - (23774998318)/(2194608515)*a^(8) - (25925501378)/(2194608515)*a^(7) + (65878753533)/(2194608515)*a^(6) - (622046301)/(438921703)*a^(5) - (3489893156)/(438921703)*a^(4) + (5043566969)/(2194608515)*a^(3) + (13483188839)/(2194608515)*a^(2) - (4861363692)/(2194608515)*a + (2302714179)/(2194608515) , (904504175)/(438921703)*a^(19) - (7684902578)/(2194608515)*a^(18) + (19536109453)/(2194608515)*a^(17) - (2933794162)/(199509865)*a^(16) + (9416070745)/(438921703)*a^(15) - (66918843862)/(2194608515)*a^(14) + (86368648006)/(2194608515)*a^(13) - (69506968761)/(2194608515)*a^(12) + (90524548749)/(2194608515)*a^(11) - (15815417419)/(438921703)*a^(10) + (75705925198)/(2194608515)*a^(9) - (42994422364)/(2194608515)*a^(8) - (23685749551)/(2194608515)*a^(7) + (18733010240)/(438921703)*a^(6) - (32577094552)/(2194608515)*a^(5) - (4564214254)/(2194608515)*a^(4) + (12290055387)/(2194608515)*a^(3) + (3849438258)/(2194608515)*a^(2) - (756814606)/(438921703)*a + (5327087823)/(2194608515) ], 59.602445011, [[x^2 - x + 12, 1], [x^5 - 2*x^4 + 2*x^3 - x^2 + 1, 5], [x^10 - 2*x^9 + x^8 - x^7 + 2*x^6 - 3*x^5 + 3*x^4 - 3*x^3 + 4*x^2 - 2*x + 1, 1], [x^10 - 5*x^9 + 15*x^8 - 30*x^7 + 44*x^6 - 48*x^5 + 37*x^4 - 19*x^3 + x^2 + 4*x - 5, 1], [x^10 - x^9 + 6*x^8 - 3*x^7 + 11*x^6 - 3*x^5 + 11*x^4 - 3*x^3 + 6*x^2 - x + 1, 1]]]