/* 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 + 12*x^18 - 18*x^17 + 20*x^16 - 23*x^15 + 33*x^14 - 44*x^13 + 47*x^12 - 51*x^11 + 78*x^10 - 122*x^9 + 143*x^8 - 115*x^7 + 61*x^6 - 22*x^5 + 10*x^4 - 9*x^3 + 6*x^2 - 2*x + 1, 20, 412, [0, 10], 695623523818852398025, [5, 23, 47], [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 + 2/5*a^16 + 1/5*a^15 + 2/5*a^14 - 1/5*a^13 + 2/5*a^12 - 1/5*a^9 - 1/5*a^8 - 1/5*a^6 + 1/5*a^5 + 1/5*a^4 + 1/5*a^3 - 2/5*a^2 + 2/5*a + 1/5, 1/26902105*a^19 - 826716/26902105*a^18 + 1853142/26902105*a^17 - 13322124/26902105*a^16 + 2221077/26902105*a^15 + 9008584/26902105*a^14 - 8206148/26902105*a^13 - 167017/5380421*a^12 + 275226/5380421*a^11 + 1309864/26902105*a^10 + 11455339/26902105*a^9 - 1793000/5380421*a^8 - 6627726/26902105*a^7 + 8459511/26902105*a^6 + 13406381/26902105*a^5 + 1900881/26902105*a^4 + 1850773/26902105*a^3 - 2556158/26902105*a^2 + 545226/26902105*a - 2064651/5380421], 0, 1, [], 0, [ (8629478)/(26902105)*a^(19) - (9955291)/(5380421)*a^(18) + (132997148)/(26902105)*a^(17) - (214538581)/(26902105)*a^(16) + (238933399)/(26902105)*a^(15) - (248747342)/(26902105)*a^(14) + (347576328)/(26902105)*a^(13) - (505822539)/(26902105)*a^(12) + (111980523)/(5380421)*a^(11) - (552928958)/(26902105)*a^(10) + (799541394)/(26902105)*a^(9) - (1360398548)/(26902105)*a^(8) + (1727453482)/(26902105)*a^(7) - (279916378)/(5380421)*a^(6) + (623425746)/(26902105)*a^(5) - (93024999)/(26902105)*a^(4) + (6233462)/(26902105)*a^(3) - (19004765)/(5380421)*a^(2) + (58204789)/(26902105)*a - (9622107)/(26902105) , (720502)/(26902105)*a^(19) - (11024627)/(26902105)*a^(18) + (41046134)/(26902105)*a^(17) - (80432773)/(26902105)*a^(16) + (99411044)/(26902105)*a^(15) - (102594707)/(26902105)*a^(14) + (133101129)/(26902105)*a^(13) - (40629816)/(5380421)*a^(12) + (48510865)/(5380421)*a^(11) - (235232722)/(26902105)*a^(10) + (297867228)/(26902105)*a^(9) - (101710215)/(5380421)*a^(8) + (721568513)/(26902105)*a^(7) - (707181638)/(26902105)*a^(6) + (446348272)/(26902105)*a^(5) - (185918023)/(26902105)*a^(4) + (55911616)/(26902105)*a^(3) - (79549331)/(26902105)*a^(2) + (65690452)/(26902105)*a - (6376722)/(5380421) , (3174338)/(26902105)*a^(19) - (7953784)/(26902105)*a^(18) + (9464802)/(26902105)*a^(17) - (9847374)/(26902105)*a^(16) + (4153904)/(5380421)*a^(15) - (7822007)/(5380421)*a^(14) + (37907162)/(26902105)*a^(13) - (26991292)/(26902105)*a^(12) + (9110092)/(5380421)*a^(11) - (92082978)/(26902105)*a^(10) + (112886708)/(26902105)*a^(9) - (81057429)/(26902105)*a^(8) + (94915652)/(26902105)*a^(7) - (140287126)/(26902105)*a^(6) + (154587697)/(26902105)*a^(5) - (81838038)/(26902105)*a^(4) + (11286638)/(26902105)*a^(3) - (20312987)/(26902105)*a^(2) + (27728581)/(26902105)*a - (25008006)/(26902105) , (112974)/(5380421)*a^(19) + (1314755)/(5380421)*a^(18) - (6077644)/(5380421)*a^(17) + (11529554)/(5380421)*a^(16) - (13502021)/(5380421)*a^(15) + (12995403)/(5380421)*a^(14) - (18684589)/(5380421)*a^(13) + (29691550)/(5380421)*a^(12) - (32636701)/(5380421)*a^(11) + (29758878)/(5380421)*a^(10) - (40238312)/(5380421)*a^(9) + (73864934)/(5380421)*a^(8) - (102037079)/(5380421)*a^(7) + (93602325)/(5380421)*a^(6) - (59067774)/(5380421)*a^(5) + (22908405)/(5380421)*a^(4) - (10072421)/(5380421)*a^(3) + (9322862)/(5380421)*a^(2) - (9458326)/(5380421)*a + (645590)/(5380421) , (1850671)/(5380421)*a^(19) - (8191297)/(5380421)*a^(18) + (16628251)/(5380421)*a^(17) - (20125537)/(5380421)*a^(16) + (18702560)/(5380421)*a^(15) - (24904629)/(5380421)*a^(14) + (41460659)/(5380421)*a^(13) - (49268205)/(5380421)*a^(12) + (43830879)/(5380421)*a^(11) - (53645332)/(5380421)*a^(10) + (101956164)/(5380421)*a^(9) - (150895611)/(5380421)*a^(8) + (139960079)/(5380421)*a^(7) - (80496341)/(5380421)*a^(6) + (27511404)/(5380421)*a^(5) - (12984226)/(5380421)*a^(4) + (17431767)/(5380421)*a^(3) - (12208714)/(5380421)*a^(2) + (5933569)/(5380421)*a + (884483)/(5380421) , (255437)/(5380421)*a^(19) - (10076999)/(26902105)*a^(18) + (33293264)/(26902105)*a^(17) - (58732853)/(26902105)*a^(16) + (66049046)/(26902105)*a^(15) - (68366358)/(26902105)*a^(14) + (97279464)/(26902105)*a^(13) - (147832683)/(26902105)*a^(12) + (33136564)/(5380421)*a^(11) - (31412264)/(5380421)*a^(10) + (221683409)/(26902105)*a^(9) - (379213211)/(26902105)*a^(8) + (101390650)/(5380421)*a^(7) - (444863456)/(26902105)*a^(6) + (239643291)/(26902105)*a^(5) - (105993739)/(26902105)*a^(4) + (58340706)/(26902105)*a^(3) - (73170112)/(26902105)*a^(2) + (58045937)/(26902105)*a - (6298359)/(26902105) , (110418)/(5380421)*a^(19) - (5903431)/(26902105)*a^(18) + (19494051)/(26902105)*a^(17) - (40497212)/(26902105)*a^(16) + (57976714)/(26902105)*a^(15) - (68988472)/(26902105)*a^(14) + (83536256)/(26902105)*a^(13) - (112171422)/(26902105)*a^(12) + (27954984)/(5380421)*a^(11) - (30816275)/(5380421)*a^(10) + (182841321)/(26902105)*a^(9) - (274310624)/(26902105)*a^(8) + (78419162)/(5380421)*a^(7) - (434270109)/(26902105)*a^(6) + (350888794)/(26902105)*a^(5) - (214322021)/(26902105)*a^(4) + (72839354)/(26902105)*a^(3) - (14787393)/(26902105)*a^(2) - (31493452)/(26902105)*a + (1123509)/(26902105) , (5814592)/(5380421)*a^(19) - (132604787)/(26902105)*a^(18) + (295380812)/(26902105)*a^(17) - (416023759)/(26902105)*a^(16) + (445308733)/(26902105)*a^(15) - (526859479)/(26902105)*a^(14) + (765317402)/(26902105)*a^(13) - (986295504)/(26902105)*a^(12) + (205963862)/(5380421)*a^(11) - (231514638)/(5380421)*a^(10) + (1844620507)/(26902105)*a^(9) - (2819921348)/(26902105)*a^(8) + (630604173)/(5380421)*a^(7) - (2357123378)/(26902105)*a^(6) + (1058611698)/(26902105)*a^(5) - (229742482)/(26902105)*a^(4) + (81090953)/(26902105)*a^(3) - (171774001)/(26902105)*a^(2) + (134565491)/(26902105)*a - (39965717)/(26902105) , (8117057)/(26902105)*a^(19) - (39823612)/(26902105)*a^(18) + (96959709)/(26902105)*a^(17) - (146764758)/(26902105)*a^(16) + (162944639)/(26902105)*a^(15) - (175042152)/(26902105)*a^(14) + (244445139)/(26902105)*a^(13) - (67916335)/(5380421)*a^(12) + (74330682)/(5380421)*a^(11) - (385817322)/(26902105)*a^(10) + (575902678)/(26902105)*a^(9) - (188742944)/(5380421)*a^(8) + (1146052408)/(26902105)*a^(7) - (886501798)/(26902105)*a^(6) + (375539937)/(26902105)*a^(5) - (8385008)/(26902105)*a^(4) - (31853774)/(26902105)*a^(3) - (16488916)/(26902105)*a^(2) + (45932647)/(26902105)*a - (2945096)/(5380421) ], 86.800744447, [[x^5 - 2*x^4 + 2*x^3 - x^2 + 1, 1], [x^10 - x^9 + x^8 - 2*x^7 + 4*x^6 + x^4 - 2*x^3 + x^2 + x + 1, 1], [x^10 - 3*x^9 + 3*x^8 - 2*x^7 - x^6 + 7*x^5 - 8*x^4 - x^3 + 6*x^2 - 2*x - 1, 1], [x^10 - x^9 + 2*x^8 - 2*x^7 + 4*x^6 - 3*x^5 + 4*x^4 - 2*x^3 + 2*x^2 - x + 1, 1]]]