/* 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^19 - 6*x^18 + 18*x^17 - 22*x^16 - 38*x^15 + 219*x^14 - 403*x^13 + 380*x^12 - 536*x^11 + 1378*x^10 - 1608*x^9 + 691*x^8 - 1073*x^7 + 1881*x^6 - 757*x^5 + 716*x^4 - 1464*x^3 + 513*x^2 - 10*x + 295, 19, 2, [1, 9], -47312447868976594992787109375, [5, 307], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, 1/5*a^10 - 2/5*a^6 + 1/5*a^2, 1/5*a^11 - 2/5*a^7 + 1/5*a^3, 1/5*a^12 - 2/5*a^8 + 1/5*a^4, 1/5*a^13 - 2/5*a^9 + 1/5*a^5, 1/25*a^14 + 1/25*a^13 - 1/25*a^12 + 1/25*a^11 + 1/25*a^10 - 7/25*a^9 - 8/25*a^8 + 3/25*a^7 + 1/5*a^6 + 6/25*a^5 - 1/25*a^4 + 11/25*a^3 + 3/25*a^2 - 2/5*a - 1/5, 1/25*a^15 - 2/25*a^13 + 2/25*a^12 + 2/25*a^10 - 1/25*a^9 + 11/25*a^8 + 2/25*a^7 + 6/25*a^6 - 7/25*a^5 + 12/25*a^4 - 8/25*a^3 - 3/25*a^2 + 1/5*a + 1/5, 1/25*a^16 - 1/25*a^13 - 2/25*a^12 - 1/25*a^11 + 1/25*a^10 + 7/25*a^9 + 11/25*a^8 - 3/25*a^7 + 3/25*a^6 - 6/25*a^5 - 2/5*a^4 - 11/25*a^3 + 11/25*a^2 + 2/5*a - 2/5, 1/2125*a^17 - 2/425*a^16 - 1/2125*a^15 - 23/2125*a^14 + 198/2125*a^13 - 151/2125*a^12 - 91/2125*a^11 + 48/2125*a^10 - 22/125*a^9 + 382/2125*a^8 - 18/85*a^7 - 752/2125*a^6 + 172/425*a^5 - 541/2125*a^4 + 307/2125*a^3 - 213/2125*a^2 - 39/425*a - 84/425, 1/276668931032258445625*a^18 + 1077543578953981/16274643001897555625*a^17 + 3530321274886689859/276668931032258445625*a^16 + 84004114088477411/11066757241290337825*a^15 - 4368765847203168238/276668931032258445625*a^14 + 1563967919821888408/55333786206451689125*a^13 - 23864274021734750333/276668931032258445625*a^12 - 26137678161754615334/276668931032258445625*a^11 + 17508476690343105892/276668931032258445625*a^10 + 16891746580759516752/39524133004608349375*a^9 - 84064749096527828396/276668931032258445625*a^8 - 128668278579884908777/276668931032258445625*a^7 - 23201001116058074789/276668931032258445625*a^6 + 16072981228172406117/39524133004608349375*a^5 + 18662799322598935704/55333786206451689125*a^4 + 114846639972906045301/276668931032258445625*a^3 - 27640445204467188881/276668931032258445625*a^2 + 13055438820250404513/55333786206451689125*a + 8117422455413795502/55333786206451689125], 0, 1, [], 1, [ (38836110632229689)/(16274643001897555625)*a^(18) - (3486702838655447779)/(276668931032258445625)*a^(17) + (9346889722026734092)/(276668931032258445625)*a^(16) - (1414138494526544109)/(55333786206451689125)*a^(15) - (33514291397877596479)/(276668931032258445625)*a^(14) + (25541486052854788056)/(55333786206451689125)*a^(13) - (174091344044191843974)/(276668931032258445625)*a^(12) + (80395369689183950888)/(276668931032258445625)*a^(11) - (173778536516840522244)/(276668931032258445625)*a^(10) + (5685163483894957433)/(2324949000271079375)*a^(9) - (651087940601544302383)/(276668931032258445625)*a^(8) + (47598622788236375474)/(276668931032258445625)*a^(7) - (326282722945897854097)/(276668931032258445625)*a^(6) + (107911869081793181171)/(39524133004608349375)*a^(5) - (28092086988329104087)/(55333786206451689125)*a^(4) - (131614807826006778972)/(276668931032258445625)*a^(3) - (185810924522992947013)/(276668931032258445625)*a^(2) + (2115316702158742189)/(55333786206451689125)*a + (27808658728344242071)/(55333786206451689125) , (135605421218946397)/(276668931032258445625)*a^(18) - (1172382595615596086)/(276668931032258445625)*a^(17) + (4605834121833714948)/(276668931032258445625)*a^(16) - (114314917431239262)/(3254928600379511125)*a^(15) + (3505377868835022604)/(276668931032258445625)*a^(14) + (8515818312808394773)/(55333786206451689125)*a^(13) - (136413897284921374121)/(276668931032258445625)*a^(12) + (208390724465616587007)/(276668931032258445625)*a^(11) - (220155508982441257466)/(276668931032258445625)*a^(10) + (51509374802439568629)/(39524133004608349375)*a^(9) - (694292913398280993647)/(276668931032258445625)*a^(8) + (811506659605421792956)/(276668931032258445625)*a^(7) - (31175846151757923394)/(16274643001897555625)*a^(6) + (63400024306019468624)/(39524133004608349375)*a^(5) - (8356048589415159043)/(3254928600379511125)*a^(4) + (620735638137974454587)/(276668931032258445625)*a^(3) - (354694930106597631592)/(276668931032258445625)*a^(2) + (104998857518897503606)/(55333786206451689125)*a - (63710393945686105861)/(55333786206451689125) , (88326478000551809)/(55333786206451689125)*a^(18) - (475698082248431873)/(55333786206451689125)*a^(17) + (1442716860051686871)/(55333786206451689125)*a^(16) - (110887228148277467)/(3254928600379511125)*a^(15) - (2091398227166686964)/(55333786206451689125)*a^(14) + (15222365986290357557)/(55333786206451689125)*a^(13) - (31726981181911158011)/(55333786206451689125)*a^(12) + (8746537190896566321)/(11066757241290337825)*a^(11) - (14946050337405563267)/(11066757241290337825)*a^(10) + (3698128655930078003)/(1580965320184333975)*a^(9) - (140886339479145236381)/(55333786206451689125)*a^(8) + (144651412119171684687)/(55333786206451689125)*a^(7) - (10587194149054869202)/(3254928600379511125)*a^(6) + (21831885549024127393)/(7904826600921669875)*a^(5) - (6227563829007001102)/(3254928600379511125)*a^(4) + (109085423536117919817)/(55333786206451689125)*a^(3) - (99897337484848577396)/(55333786206451689125)*a^(2) + (15858959605163519326)/(11066757241290337825)*a - (8230629796811672163)/(11066757241290337825) , (2125007217334543672)/(276668931032258445625)*a^(18) - (14277260366850214291)/(276668931032258445625)*a^(17) + (45040581998095490423)/(276668931032258445625)*a^(16) - (712405049738325749)/(3254928600379511125)*a^(15) - (89707371818436175406)/(276668931032258445625)*a^(14) + (23101598358754638922)/(11066757241290337825)*a^(13) - (1109333431874485081216)/(276668931032258445625)*a^(12) + (898366663550755176237)/(276668931032258445625)*a^(11) - (692410027748358161306)/(276668931032258445625)*a^(10) + (387305563873798917289)/(39524133004608349375)*a^(9) - (4459846714579116401757)/(276668931032258445625)*a^(8) + (1533264420714897272481)/(276668931032258445625)*a^(7) + (16504008400711075311)/(16274643001897555625)*a^(6) + (429668586713604655799)/(39524133004608349375)*a^(5) - (9292001882693219744)/(650985720075902225)*a^(4) + (1692765957479432237027)/(276668931032258445625)*a^(3) - (897510284081172221427)/(276668931032258445625)*a^(2) + (155742066000252458726)/(55333786206451689125)*a - (51524042145573871766)/(55333786206451689125) , (129858332705474487)/(55333786206451689125)*a^(18) - (122366840768780213)/(11066757241290337825)*a^(17) + (1518234951321806918)/(55333786206451689125)*a^(16) - (616207373440626951)/(55333786206451689125)*a^(15) - (7129480946995009649)/(55333786206451689125)*a^(14) + (23302079323773765878)/(55333786206451689125)*a^(13) - (28632340538235043012)/(55333786206451689125)*a^(12) + (10715174171312201331)/(55333786206451689125)*a^(11) - (19211917304541259568)/(55333786206451689125)*a^(10) + (7193223510988053477)/(7904826600921669875)*a^(9) + (342971876467878920)/(442670289651613513)*a^(8) - (149311187472391930859)/(55333786206451689125)*a^(7) + (29367574708610875426)/(11066757241290337825)*a^(6) - (36000893015584621106)/(7904826600921669875)*a^(5) + (313770494034661874649)/(55333786206451689125)*a^(4) - (204620198459051316601)/(55333786206451689125)*a^(3) + (42026020610122786556)/(11066757241290337825)*a^(2) - (17949755541406384693)/(11066757241290337825)*a + (1921865413786188942)/(2213351448258067565) , (1284670813380196559)/(276668931032258445625)*a^(18) - (8830766397516513827)/(276668931032258445625)*a^(17) + (28799171687411226231)/(276668931032258445625)*a^(16) - (8248916640350058951)/(55333786206451689125)*a^(15) - (49166454159402387182)/(276668931032258445625)*a^(14) + (14632820962219137648)/(11066757241290337825)*a^(13) - (745538079838772702227)/(276668931032258445625)*a^(12) + (660088177793249563539)/(276668931032258445625)*a^(11) - (428761009915752461707)/(276668931032258445625)*a^(10) + (217603654291573977708)/(39524133004608349375)*a^(9) - (165836106335608960462)/(16274643001897555625)*a^(8) + (1238150775721512704682)/(276668931032258445625)*a^(7) + (524901894159756431289)/(276668931032258445625)*a^(6) + (153912917402827964203)/(39524133004608349375)*a^(5) - (86500817265074813801)/(11066757241290337825)*a^(4) + (1142412927296185382794)/(276668931032258445625)*a^(3) - (26208434601515749532)/(16274643001897555625)*a^(2) - (16627352700924257303)/(55333786206451689125)*a + (22402356590994786698)/(55333786206451689125) , (207263642676288677)/(276668931032258445625)*a^(18) - (1499231378990502656)/(276668931032258445625)*a^(17) + (5243981585351859468)/(276668931032258445625)*a^(16) - (118182397532532269)/(3254928600379511125)*a^(15) + (1701156891289317904)/(276668931032258445625)*a^(14) + (1773294371842152156)/(11066757241290337825)*a^(13) - (134061853603855893281)/(276668931032258445625)*a^(12) + (223785922580624848817)/(276668931032258445625)*a^(11) - (358790606603250470746)/(276668931032258445625)*a^(10) + (87861602792669930149)/(39524133004608349375)*a^(9) - (793451171410493062062)/(276668931032258445625)*a^(8) + (752401748300957400196)/(276668931032258445625)*a^(7) - (48485349231397144749)/(16274643001897555625)*a^(6) + (119831557165136268709)/(39524133004608349375)*a^(5) - (185048925455284666)/(130197144015180445)*a^(4) + (129303036315505651757)/(276668931032258445625)*a^(3) - (335635979349454354107)/(276668931032258445625)*a^(2) + (16801463973458303091)/(55333786206451689125)*a + (7203402381424799169)/(55333786206451689125) , (243087734568811171)/(276668931032258445625)*a^(18) - (6099589719428938)/(276668931032258445625)*a^(17) - (2130380795033428986)/(276668931032258445625)*a^(16) + (2034752280025881511)/(55333786206451689125)*a^(15) - (14044920152356034383)/(276668931032258445625)*a^(14) - (9143559587272849)/(130197144015180445)*a^(13) + (119691726856455005412)/(276668931032258445625)*a^(12) - (137008330374689541434)/(276668931032258445625)*a^(11) - (50568860760675309858)/(276668931032258445625)*a^(10) - (15331098278296749723)/(39524133004608349375)*a^(9) + (699923087646545197324)/(276668931032258445625)*a^(8) - (142997490311366036267)/(276668931032258445625)*a^(7) - (362052576246314740334)/(276668931032258445625)*a^(6) - (83144549605419464268)/(39524133004608349375)*a^(5) + (1801657326079655433)/(2213351448258067565)*a^(4) + (147850745932994061961)/(276668931032258445625)*a^(3) + (635251382767627021289)/(276668931032258445625)*a^(2) + (42224160018800970993)/(55333786206451689125)*a + (28216431565889813137)/(55333786206451689125) , (409143521616765433)/(276668931032258445625)*a^(18) - (1493935757459734004)/(276668931032258445625)*a^(17) + (743721322806197472)/(276668931032258445625)*a^(16) + (2481364903138748999)/(55333786206451689125)*a^(15) - (46629504725861643119)/(276668931032258445625)*a^(14) + (11195253198636555792)/(55333786206451689125)*a^(13) + (95808406235960186256)/(276668931032258445625)*a^(12) - (382374906780617814277)/(276668931032258445625)*a^(11) + (296367994799859304376)/(276668931032258445625)*a^(10) + (10905225547613266281)/(39524133004608349375)*a^(9) + (762491223990870404067)/(276668931032258445625)*a^(8) - (1916366152099116437191)/(276668931032258445625)*a^(7) + (567082104157783312528)/(276668931032258445625)*a^(6) + (40367592938655613736)/(39524133004608349375)*a^(5) + (298178637356445840586)/(55333786206451689125)*a^(4) - (1155600718549339012357)/(276668931032258445625)*a^(3) + (129383696882652156087)/(276668931032258445625)*a^(2) - (193996749940115431241)/(55333786206451689125)*a + (119473368449009913946)/(55333786206451689125) ], 26027741.7153, []]