/* 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 + 72*x^18 + 2148*x^16 + 34469*x^14 + 323346*x^12 + 1806187*x^10 + 5857425*x^8 + 10134540*x^6 + 7361131*x^4 + 395769*x^2 + 4489, 20, 324, [0, 10], 63416710432928568752221553366630662144, [2, 67, 401], [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, 1/13407099062898414799182629*a^18 + 2224376137812982362251076/13407099062898414799182629*a^16 + 6076271389555516996119793/13407099062898414799182629*a^14 - 2358119850552293387998351/13407099062898414799182629*a^12 - 3772717226525341995264824/13407099062898414799182629*a^10 - 1003160241075187254570144/13407099062898414799182629*a^8 + 2602419145163809266113218/13407099062898414799182629*a^6 - 1390101619400031004062887/13407099062898414799182629*a^4 - 5101371628079819540936583/13407099062898414799182629*a^2 - 6487806373729156805301/200105956162662907450487, 1/13407099062898414799182629*a^19 + 2224376137812982362251076/13407099062898414799182629*a^17 + 6076271389555516996119793/13407099062898414799182629*a^15 - 2358119850552293387998351/13407099062898414799182629*a^13 - 3772717226525341995264824/13407099062898414799182629*a^11 - 1003160241075187254570144/13407099062898414799182629*a^9 + 2602419145163809266113218/13407099062898414799182629*a^7 - 1390101619400031004062887/13407099062898414799182629*a^5 - 5101371628079819540936583/13407099062898414799182629*a^3 - 6487806373729156805301/200105956162662907450487*a], 1, 16288, [4, 4072], 1, [ (17323997711523397669)/(582917350560800643442723)*a^(18) + (1215123120779116449566)/(582917350560800643442723)*a^(16) + (34964358075166325100113)/(582917350560800643442723)*a^(14) + (533057725502363935892753)/(582917350560800643442723)*a^(12) + (4640433504075828507816749)/(582917350560800643442723)*a^(10) + (23162550188612350572916163)/(582917350560800643442723)*a^(8) + (63034975909415023810158615)/(582917350560800643442723)*a^(6) + (81834269552193075487207038)/(582917350560800643442723)*a^(4) + (35596470611036068213673236)/(582917350560800643442723)*a^(2) + (25805900900697963788860)/(8700258963594039454369) , (17323997711523397669)/(582917350560800643442723)*a^(18) + (1215123120779116449566)/(582917350560800643442723)*a^(16) + (34964358075166325100113)/(582917350560800643442723)*a^(14) + (533057725502363935892753)/(582917350560800643442723)*a^(12) + (4640433504075828507816749)/(582917350560800643442723)*a^(10) + (23162550188612350572916163)/(582917350560800643442723)*a^(8) + (63034975909415023810158615)/(582917350560800643442723)*a^(6) + (81834269552193075487207038)/(582917350560800643442723)*a^(4) + (35596470611036068213673236)/(582917350560800643442723)*a^(2) + (34506159864292003243229)/(8700258963594039454369) , (511430894878348507469)/(13407099062898414799182629)*a^(18) + (35696281024938325859938)/(13407099062898414799182629)*a^(16) + (1020632465175167798845516)/(13407099062898414799182629)*a^(14) + (15430006625301528493609885)/(13407099062898414799182629)*a^(12) + (132787571346492586029173570)/(13407099062898414799182629)*a^(10) + (652022167697057482658017338)/(13407099062898414799182629)*a^(8) + (1730651087040017402550861074)/(13407099062898414799182629)*a^(6) + (2148746241344604980279925904)/(13407099062898414799182629)*a^(4) + (817555830269502417720584294)/(13407099062898414799182629)*a^(2) - (210994262573235319371182)/(200105956162662907450487) , (112978947513310361082)/(13407099062898414799182629)*a^(18) + (7748449247018647519920)/(13407099062898414799182629)*a^(16) + (216452229446342321542917)/(13407099062898414799182629)*a^(14) + (3169678938747157968076566)/(13407099062898414799182629)*a^(12) + (26057600752748530349388343)/(13407099062898414799182629)*a^(10) + (119283513358973419480945589)/(13407099062898414799182629)*a^(8) + (280846641123471854917212929)/(13407099062898414799182629)*a^(6) + (266558041644164244074164030)/(13407099062898414799182629)*a^(4) - (1162993784327151193900134)/(13407099062898414799182629)*a^(2) - (804529983289288486514962)/(200105956162662907450487) , (22438374324110676782)/(582917350560800643442723)*a^(18) + (1597261698796315522908)/(582917350560800643442723)*a^(16) + (46948437124551880920627)/(582917350560800643442723)*a^(14) + (738609422717312901084076)/(582917350560800643442723)*a^(12) + (6744419172680234311914175)/(582917350560800643442723)*a^(10) + (36291513210029438078336352)/(582917350560800643442723)*a^(8) + (111696391546823827050126869)/(582917350560800643442723)*a^(6) + (179522160830817511987997771)/(582917350560800643442723)*a^(4) + (116605543724230470752491366)/(582917350560800643442723)*a^(2) + (23729104304360644695758)/(8700258963594039454369) , (76386589033753804459)/(13407099062898414799182629)*a^(18) + (5336097422496198175287)/(13407099062898414799182629)*a^(16) + (151588276522277860291098)/(13407099062898414799182629)*a^(14) + (2243614057402058297704176)/(13407099062898414799182629)*a^(12) + (18315020050841761413779192)/(13407099062898414799182629)*a^(10) + (78974763692937288828167321)/(13407099062898414799182629)*a^(8) + (142894365315338573668009690)/(13407099062898414799182629)*a^(6) - (32187360900761378720379995)/(13407099062898414799182629)*a^(4) - (280248649014889425316241135)/(13407099062898414799182629)*a^(2) - (155155226833372452506928)/(200105956162662907450487) , (194017251123261224058)/(13407099062898414799182629)*a^(18) + (14125284716891776862153)/(13407099062898414799182629)*a^(16) + (427222094658145644162920)/(13407099062898414799182629)*a^(14) + (6971303093345884497104605)/(13407099062898414799182629)*a^(12) + (66706690428743094908019990)/(13407099062898414799182629)*a^(10) + (380940913185530301452831668)/(13407099062898414799182629)*a^(8) + (1262106924975741048187279532)/(13407099062898414799182629)*a^(6) + (2214634138507600660797806864)/(13407099062898414799182629)*a^(4) + (1582960032588581833076575855)/(13407099062898414799182629)*a^(2) + (197290363776195023252700)/(200105956162662907450487) , (403103661941235204904)/(13407099062898414799182629)*a^(18) + (28988569825296609506964)/(13407099062898414799182629)*a^(16) + (863361824418350939631504)/(13407099062898414799182629)*a^(14) + (13818337783751038756857182)/(13407099062898414799182629)*a^(12) + (129064040218896858824637682)/(13407099062898414799182629)*a^(10) + (715421290471703656320790507)/(13407099062898414799182629)*a^(8) + (2288170364453476167235705058)/(13407099062898414799182629)*a^(6) + (3862451657464638531649784703)/(13407099062898414799182629)*a^(4) + (2683090499441627978501201552)/(13407099062898414799182629)*a^(2) + (1550405338452246221967883)/(200105956162662907450487) , (643353006996926528142)/(13407099062898414799182629)*a^(18) + (44966632208134136703950)/(13407099062898414799182629)*a^(16) + (1287035275029721575244222)/(13407099062898414799182629)*a^(14) + (19458419548025897138055020)/(13407099062898414799182629)*a^(12) + (167039401579515884955199137)/(13407099062898414799182629)*a^(10) + (812903544819803523232714147)/(13407099062898414799182629)*a^(8) + (2100956665758211125173956509)/(13407099062898414799182629)*a^(6) + (2397863237267503024180889291)/(13407099062898414799182629)*a^(4) + (612415847209168628696592839)/(13407099062898414799182629)*a^(2) + (141434782047661782380596)/(200105956162662907450487) ], 4253434.60225, [[x^5 - x^4 - 5*x^3 + 4*x^2 + 3*x - 1, 1], [x^10 - 2*x^9 - 14*x^8 + 26*x^7 + 62*x^6 - 110*x^5 - 85*x^4 + 170*x^3 + 8*x^2 - 84*x + 27, 1]]]