/* 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 - 2*x^19 + 6*x^16 - 18*x^15 + 17*x^14 + 4*x^13 + 25*x^12 - 92*x^11 + 92*x^10 - 34*x^9 + 44*x^8 - 140*x^7 + 188*x^6 - 144*x^5 + 88*x^4 - 54*x^3 + 27*x^2 - 8*x + 1, 20, 48, [0, 10], 267622853577068773376, [2, 761], [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, 1/3*a^18 + 1/3*a^16 - 1/3*a^15 - 1/3*a^14 + 1/3*a^12 - 1/3*a^10 - 1/3*a^9 - 1/3*a^8 - 1/3*a^7 - 1/3*a^6 + 1/3*a^5 + 1/3*a^3 + 1/3*a - 1/3, 1/4379139123*a^19 - 119017966/4379139123*a^18 + 1685921074/4379139123*a^17 - 2114361461/4379139123*a^16 + 33058990/1459713041*a^15 + 365282/257596419*a^14 + 114632567/257596419*a^13 - 973911976/4379139123*a^12 - 1115738719/4379139123*a^11 + 537527623/1459713041*a^10 - 379823704/1459713041*a^9 + 493709918/1459713041*a^8 + 230256856/1459713041*a^7 - 1268264551/4379139123*a^6 + 160458095/4379139123*a^5 + 746923456/4379139123*a^4 - 934160479/4379139123*a^3 - 270645920/4379139123*a^2 + 754334224/4379139123*a + 1554696913/4379139123], 0, 1, [], 0, [ (22484982706)/(257596419)*a^(19) - (10267563344)/(85865473)*a^(18) - (18681268559)/(257596419)*a^(17) - (12403016392)/(257596419)*a^(16) + (126129587750)/(257596419)*a^(15) - (108706852533)/(85865473)*a^(14) + (180482208595)/(257596419)*a^(13) + (65016364200)/(85865473)*a^(12) + (686360073866)/(257596419)*a^(11) - (1628730592246)/(257596419)*a^(10) + (1068399829907)/(257596419)*a^(9) - (131443441969)/(257596419)*a^(8) + (919263914954)/(257596419)*a^(7) - (2564824514810)/(257596419)*a^(6) + (880920894703)/(85865473)*a^(5) - (1640266238186)/(257596419)*a^(4) + (331721523585)/(85865473)*a^(3) - (612024660836)/(257596419)*a^(2) + (239459512025)/(257596419)*a - (13024885462)/(85865473) , (69263414900)/(1459713041)*a^(19) - (98990575245)/(1459713041)*a^(18) - (58325263366)/(1459713041)*a^(17) - (31661277263)/(1459713041)*a^(16) + (399712883294)/(1459713041)*a^(15) - (59794785242)/(85865473)*a^(14) + (34595791711)/(85865473)*a^(13) + (635014217009)/(1459713041)*a^(12) + (2089633010243)/(1459713041)*a^(11) - (5196500477196)/(1459713041)*a^(10) + (3342715150435)/(1459713041)*a^(9) - (345642874025)/(1459713041)*a^(8) + (2808495426073)/(1459713041)*a^(7) - (8099927885639)/(1459713041)*a^(6) + (8320217357093)/(1459713041)*a^(5) - (5054769095606)/(1459713041)*a^(4) + (3072299576199)/(1459713041)*a^(3) - (1912378527199)/(1459713041)*a^(2) + (729363743977)/(1459713041)*a - (110382905066)/(1459713041) , (274186238164)/(4379139123)*a^(19) - (310114549069)/(4379139123)*a^(18) - (289820724893)/(4379139123)*a^(17) - (236659651055)/(4379139123)*a^(16) + (488919187375)/(1459713041)*a^(15) - (213678048997)/(257596419)*a^(14) + (82738018919)/(257596419)*a^(13) + (2550755438822)/(4379139123)*a^(12) + (9055463962178)/(4379139123)*a^(11) - (5850080813225)/(1459713041)*a^(10) + (3075300799592)/(1459713041)*a^(9) - (96825647013)/(1459713041)*a^(8) + (3838817430477)/(1459713041)*a^(7) - (28462645152622)/(4379139123)*a^(6) + (25918129239158)/(4379139123)*a^(5) - (15187044858281)/(4379139123)*a^(4) + (9684955053521)/(4379139123)*a^(3) - (5733087900083)/(4379139123)*a^(2) + (1940777253562)/(4379139123)*a - (253833225818)/(4379139123) , (256082710069)/(4379139123)*a^(19) - (243715209961)/(4379139123)*a^(18) - (302541568538)/(4379139123)*a^(17) - (282098082329)/(4379139123)*a^(16) + (434567912183)/(1459713041)*a^(15) - (186927350236)/(257596419)*a^(14) + (46814430611)/(257596419)*a^(13) + (2395193759594)/(4379139123)*a^(12) + (8877549763871)/(4379139123)*a^(11) - (4900271844177)/(1459713041)*a^(10) + (2140885146371)/(1459713041)*a^(9) + (123470246761)/(1459713041)*a^(8) + (3655388509456)/(1459713041)*a^(7) - (24560345888668)/(4379139123)*a^(6) + (20332936581794)/(4379139123)*a^(5) - (11475972626885)/(4379139123)*a^(4) + (7619314371542)/(4379139123)*a^(3) - (4327311695096)/(4379139123)*a^(2) + (1283844712198)/(4379139123)*a - (132245407610)/(4379139123) , (622498112728)/(4379139123)*a^(19) - (284365108256)/(1459713041)*a^(18) - (530709946850)/(4379139123)*a^(17) - (338622627874)/(4379139123)*a^(16) + (3513221362835)/(4379139123)*a^(15) - (176515499718)/(85865473)*a^(14) + (290883354725)/(257596419)*a^(13) + (1843851157256)/(1459713041)*a^(12) + (19047338827496)/(4379139123)*a^(11) - (45218319105220)/(4379139123)*a^(10) + (29036826545753)/(4379139123)*a^(9) - (3191303072413)/(4379139123)*a^(8) + (25466279930543)/(4379139123)*a^(7) - (71087980248518)/(4379139123)*a^(6) + (24183797989670)/(1459713041)*a^(5) - (44502536818610)/(4379139123)*a^(4) + (9044874356995)/(1459713041)*a^(3) - (16724636160620)/(4379139123)*a^(2) + (6417441948464)/(4379139123)*a - (336293108530)/(1459713041) , (12725910013)/(85865473)*a^(19) - (51347100616)/(257596419)*a^(18) - (11139794757)/(85865473)*a^(17) - (22015499563)/(257596419)*a^(16) + (214361547709)/(257596419)*a^(15) - (547133431781)/(257596419)*a^(14) + (97184943316)/(85865473)*a^(13) + (341342269517)/(257596419)*a^(12) + (392634562768)/(85865473)*a^(11) - (2738969182184)/(257596419)*a^(10) + (1726274751118)/(257596419)*a^(9) - (176343190334)/(257596419)*a^(8) + (1566953837377)/(257596419)*a^(7) - (4317828222095)/(257596419)*a^(6) + (4358348967530)/(257596419)*a^(5) - (886503265379)/(85865473)*a^(4) + (1628808176507)/(257596419)*a^(3) - (333736532892)/(85865473)*a^(2) + (379440591935)/(257596419)*a - (58843172087)/(257596419) , (18442726496)/(4379139123)*a^(19) - (28354740428)/(1459713041)*a^(18) + (30422980973)/(4379139123)*a^(17) + (69273759073)/(4379139123)*a^(16) + (183771051676)/(4379139123)*a^(15) - (10931905844)/(85865473)*a^(14) + (49167233317)/(257596419)*a^(13) + (34882336640)/(1459713041)*a^(12) - (9595592843)/(4379139123)*a^(11) - (3514809195605)/(4379139123)*a^(10) + (3908271100021)/(4379139123)*a^(9) - (1031329410416)/(4379139123)*a^(8) + (472927679311)/(4379139123)*a^(7) - (4719920728990)/(4379139123)*a^(6) + (2473909747831)/(1459713041)*a^(5) - (5100166634713)/(4379139123)*a^(4) + (920844359084)/(1459713041)*a^(3) - (1907247864193)/(4379139123)*a^(2) + (944966254459)/(4379139123)*a - (63404147661)/(1459713041) , (86929084073)/(1459713041)*a^(19) - (365572249892)/(4379139123)*a^(18) - (73619934518)/(1459713041)*a^(17) - (130524656357)/(4379139123)*a^(16) + (1489169676638)/(4379139123)*a^(15) - (223555268912)/(257596419)*a^(14) + (42160947849)/(85865473)*a^(13) + (2355354812725)/(4379139123)*a^(12) + (2642107206061)/(1459713041)*a^(11) - (19268860492204)/(4379139123)*a^(10) + (12389354382080)/(4379139123)*a^(9) - (1350072886834)/(4379139123)*a^(8) + (10617772774694)/(4379139123)*a^(7) - (30166750940914)/(4379139123)*a^(6) + (30895127472859)/(4379139123)*a^(5) - (6294115831162)/(1459713041)*a^(4) + (11501845134472)/(4379139123)*a^(3) - (2373386563199)/(1459713041)*a^(2) + (2734532475973)/(4379139123)*a - (424558247398)/(4379139123) , (72693729430)/(4379139123)*a^(19) - (6629273768)/(4379139123)*a^(18) - (128570458199)/(4379139123)*a^(17) - (55594378598)/(1459713041)*a^(16) + (277424279866)/(4379139123)*a^(15) - (35700099206)/(257596419)*a^(14) - (27481249561)/(257596419)*a^(13) + (684883114930)/(4379139123)*a^(12) + (3117542290250)/(4379139123)*a^(11) - (1832402393063)/(4379139123)*a^(10) - (1140985615001)/(4379139123)*a^(9) + (821328236032)/(4379139123)*a^(8) + (3404469309307)/(4379139123)*a^(7) - (1403976336323)/(1459713041)*a^(6) + (511178507752)/(4379139123)*a^(5) + (231512870782)/(4379139123)*a^(4) + (350501921356)/(4379139123)*a^(3) + (134265351574)/(4379139123)*a^(2) - (102433391125)/(1459713041)*a + (86468861213)/(4379139123) ], 99.9526828541, [[x^2 + 1, 1], [x^4 - 9*x^2 - 10*x + 50, 1], [x^10 - 4*x^9 + 8*x^8 - 10*x^7 + 9*x^6 - 6*x^5 + 3*x^4 - x^2 + 1, 5]]]