/* 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 - 5*x^19 + 11*x^18 - 11*x^17 - x^16 + 16*x^15 - 20*x^14 + 11*x^13 + 5*x^12 - 20*x^11 + 27*x^10 - 2*x^9 - 22*x^8 + 40*x^7 - 9*x^6 - 5*x^5 + 17*x^4 - 7*x^3 + 5*x^2 - 3*x + 1, 20, 1015, [0, 10], 1430869177844446526464, [2, 31, 2617], [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, a^18, 1/272085514565*a^19 - 92853578442/272085514565*a^18 + 15888810470/54417102913*a^17 + 69553206389/272085514565*a^16 + 65420503271/272085514565*a^15 + 7720682619/272085514565*a^14 - 44089421458/272085514565*a^13 + 88201761702/272085514565*a^12 + 78281952096/272085514565*a^11 + 40337167528/272085514565*a^10 + 117992989721/272085514565*a^9 - 128966888769/272085514565*a^8 + 81784740281/272085514565*a^7 - 12603299272/272085514565*a^6 - 26314477145/54417102913*a^5 + 21533092220/54417102913*a^4 - 127958118368/272085514565*a^3 + 103342545059/272085514565*a^2 - 23029136343/272085514565*a - 99283461742/272085514565], 0, 1, [], 0, [ (60133888873)/(272085514565)*a^(19) - (298778534621)/(272085514565)*a^(18) + (125749937816)/(54417102913)*a^(17) - (565943696058)/(272085514565)*a^(16) - (154497353552)/(272085514565)*a^(15) + (880885769627)/(272085514565)*a^(14) - (902910373719)/(272085514565)*a^(13) + (330553090031)/(272085514565)*a^(12) + (537516957093)/(272085514565)*a^(11) - (1245219308116)/(272085514565)*a^(10) + (1311304839963)/(272085514565)*a^(9) + (291306858373)/(272085514565)*a^(8) - (1453679251817)/(272085514565)*a^(7) + (1815058065489)/(272085514565)*a^(6) - (53766486376)/(54417102913)*a^(5) - (188743143152)/(54417102913)*a^(4) + (771328825651)/(272085514565)*a^(3) - (362791202978)/(272085514565)*a^(2) - (395377999964)/(272085514565)*a - (71740030276)/(272085514565) , (73550967561)/(272085514565)*a^(19) - (358776658262)/(272085514565)*a^(18) + (142299674631)/(54417102913)*a^(17) - (436406983611)/(272085514565)*a^(16) - (744471731989)/(272085514565)*a^(15) + (1616685326159)/(272085514565)*a^(14) - (1020982344778)/(272085514565)*a^(13) - (252445519393)/(272085514565)*a^(12) + (1082197170616)/(272085514565)*a^(11) - (1500089405487)/(272085514565)*a^(10) + (1410734894131)/(272085514565)*a^(9) + (1042918876741)/(272085514565)*a^(8) - (2656861552999)/(272085514565)*a^(7) + (2221579545398)/(272085514565)*a^(6) + (272466210976)/(54417102913)*a^(5) - (311271020603)/(54417102913)*a^(4) + (933714806707)/(272085514565)*a^(3) + (450012416949)/(272085514565)*a^(2) + (254296271707)/(272085514565)*a - (173184072872)/(272085514565) , (127984771237)/(272085514565)*a^(19) - (532733281509)/(272085514565)*a^(18) + (193034343081)/(54417102913)*a^(17) - (707180442757)/(272085514565)*a^(16) - (269254360793)/(272085514565)*a^(15) + (983362978913)/(272085514565)*a^(14) - (1092387527761)/(272085514565)*a^(13) + (697932733944)/(272085514565)*a^(12) + (472860699732)/(272085514565)*a^(11) - (1556997933119)/(272085514565)*a^(10) + (1885044705792)/(272085514565)*a^(9) + (911584962807)/(272085514565)*a^(8) - (783999526338)/(272085514565)*a^(7) + (3024738593601)/(272085514565)*a^(6) + (133067493646)/(54417102913)*a^(5) + (232176916716)/(54417102913)*a^(4) + (1645466705109)/(272085514565)*a^(3) + (110315921928)/(272085514565)*a^(2) + (517400587054)/(272085514565)*a - (42132770904)/(272085514565) , (116662206199)/(272085514565)*a^(19) - (487288654348)/(272085514565)*a^(18) + (165299068902)/(54417102913)*a^(17) - (321741318959)/(272085514565)*a^(16) - (1032002613231)/(272085514565)*a^(15) + (1773593005816)/(272085514565)*a^(14) - (1108933642372)/(272085514565)*a^(13) - (147476332167)/(272085514565)*a^(12) + (1228052637539)/(272085514565)*a^(11) - (1687633199978)/(272085514565)*a^(10) + (1470718218004)/(272085514565)*a^(9) + (1831636664369)/(272085514565)*a^(8) - (2309326354126)/(272085514565)*a^(7) + (2863526312377)/(272085514565)*a^(6) + (444385326395)/(54417102913)*a^(5) - (143037990508)/(54417102913)*a^(4) + (1568461147963)/(272085514565)*a^(3) + (482651736191)/(272085514565)*a^(2) + (329093784468)/(272085514565)*a - (89249173098)/(272085514565) , a , (121043780821)/(272085514565)*a^(19) - (511287704607)/(272085514565)*a^(18) + (184359513833)/(54417102913)*a^(17) - (590104834066)/(272085514565)*a^(16) - (576575495099)/(272085514565)*a^(15) + (1431971428944)/(272085514565)*a^(14) - (1265065125243)/(272085514565)*a^(13) + (302517690527)/(272085514565)*a^(12) + (1068191710581)/(272085514565)*a^(11) - (1848794657447)/(272085514565)*a^(10) + (1779139461261)/(272085514565)*a^(9) + (1253660237991)/(272085514565)*a^(8) - (1710299971159)/(272085514565)*a^(7) + (3351618338858)/(272085514565)*a^(6) + (257732785208)/(54417102913)*a^(5) - (61669399591)/(54417102913)*a^(4) + (1803374116507)/(272085514565)*a^(3) + (350551941274)/(272085514565)*a^(2) + (214119567437)/(272085514565)*a - (78800251327)/(272085514565) , (26690513153)/(272085514565)*a^(19) - (57891189996)/(272085514565)*a^(18) - (8758705072)/(54417102913)*a^(17) + (396983275937)/(272085514565)*a^(16) - (738211666602)/(272085514565)*a^(15) + (640294231932)/(272085514565)*a^(14) - (137582305099)/(272085514565)*a^(13) - (463344785969)/(272085514565)*a^(12) + (779464091073)/(272085514565)*a^(11) - (440618909511)/(272085514565)*a^(10) - (142025019307)/(272085514565)*a^(9) + (1278257683113)/(272085514565)*a^(8) - (600593342562)/(272085514565)*a^(7) + (774984880204)/(272085514565)*a^(6) + (350800358432)/(54417102913)*a^(5) - (65585334078)/(54417102913)*a^(4) + (1186031476246)/(272085514565)*a^(3) + (538173228647)/(272085514565)*a^(2) + (253466725256)/(272085514565)*a - (52034880576)/(272085514565) , (8626170245)/(54417102913)*a^(19) - (38281173852)/(54417102913)*a^(18) + (72495427401)/(54417102913)*a^(17) - (51763341159)/(54417102913)*a^(16) - (40385565630)/(54417102913)*a^(15) + (119512886590)/(54417102913)*a^(14) - (123743377065)/(54417102913)*a^(13) + (72331623399)/(54417102913)*a^(12) + (23242877453)/(54417102913)*a^(11) - (127694611450)/(54417102913)*a^(10) + (189634705473)/(54417102913)*a^(9) + (13392752130)/(54417102913)*a^(8) - (126382811347)/(54417102913)*a^(7) + (262934825390)/(54417102913)*a^(6) - (3479156481)/(54417102913)*a^(5) + (50243519052)/(54417102913)*a^(4) + (71244877364)/(54417102913)*a^(3) - (74663797617)/(54417102913)*a^(2) + (163365589771)/(54417102913)*a - (31640793947)/(54417102913) , (279239715169)/(272085514565)*a^(19) - (1352613605393)/(272085514565)*a^(18) + (561297320065)/(54417102913)*a^(17) - (2396198118229)/(272085514565)*a^(16) - (1045895317166)/(272085514565)*a^(15) + (4395077301911)/(272085514565)*a^(14) - (4286021689687)/(272085514565)*a^(13) + (1557249414303)/(272085514565)*a^(12) + (1962963697954)/(272085514565)*a^(11) - (5058150276318)/(272085514565)*a^(10) + (6143952111429)/(272085514565)*a^(9) + (1301238085734)/(272085514565)*a^(8) - (6570577392841)/(272085514565)*a^(7) + (9029785200267)/(272085514565)*a^(6) + (67101723915)/(54417102913)*a^(5) - (427626138192)/(54417102913)*a^(4) + (3454698653708)/(272085514565)*a^(3) - (643793005269)/(272085514565)*a^(2) + (1119472424748)/(272085514565)*a - (636043584023)/(272085514565) ], 130.791344738, [[x^5 + x^3 - 2*x^2 - 1, 1], [x^10 - 3*x^9 + 5*x^8 - 7*x^7 + 9*x^6 - 10*x^5 + 9*x^4 - 7*x^3 + 5*x^2 - 2*x + 1, 1]]]