/* 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^21 + x^19 - 5*x^18 + 8*x^17 - 5*x^16 + 11*x^15 - 40*x^14 + 33*x^13 + 2*x^12 + 62*x^11 - 87*x^10 - 12*x^9 - 43*x^8 + 76*x^7 + 27*x^6 - 15*x^5 - 7*x^4 - 10*x^3 + 2*x^2 + x + 1, 21, 74, [1, 10], 23714597990105054274863104, [2, 11, 41, 461], [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, 1/11*a^19 - 4/11*a^18 + 2/11*a^17 + 3/11*a^16 - 1/11*a^15 - 2/11*a^14 + 1/11*a^13 - 3/11*a^12 - 3/11*a^11 + 4/11*a^10 + 3/11*a^9 - 5/11*a^8 - 4/11*a^7 + 4/11*a^6 - 1/11*a^5 + 4/11*a^4 - 5/11*a^3 - 3/11*a^2 + 3/11, 1/1328791069714559*a^20 + 12286583537248/1328791069714559*a^19 + 191668500441346/1328791069714559*a^18 - 345610731565114/1328791069714559*a^17 + 422414217258764/1328791069714559*a^16 + 488917770915768/1328791069714559*a^15 - 581584913027979/1328791069714559*a^14 - 351668375273832/1328791069714559*a^13 + 161636401398155/1328791069714559*a^12 + 172805438621979/1328791069714559*a^11 + 235695191095/120799188155869*a^10 - 411605789161335/1328791069714559*a^9 + 82949821253362/1328791069714559*a^8 + 300167517426487/1328791069714559*a^7 + 94700910671880/1328791069714559*a^6 - 260498236608982/1328791069714559*a^5 - 89433799389327/1328791069714559*a^4 - 545203816347170/1328791069714559*a^3 - 199115360932769/1328791069714559*a^2 + 65972783522363/1328791069714559*a + 156756481586128/1328791069714559], 0, 1, [], 1, [ (755310368979667)/(1328791069714559)*a^(20) + (53748058787158)/(1328791069714559)*a^(19) + (826826649780458)/(1328791069714559)*a^(18) - (3663567706299074)/(1328791069714559)*a^(17) + (5927269466079651)/(1328791069714559)*a^(16) - (3532528049179428)/(1328791069714559)*a^(15) + (8502516526342150)/(1328791069714559)*a^(14) - (29671849857015174)/(1328791069714559)*a^(13) + (23635398435116282)/(1328791069714559)*a^(12) + (1364797844244218)/(1328791069714559)*a^(11) + (4347450531861202)/(120799188155869)*a^(10) - (62215295398048754)/(1328791069714559)*a^(9) - (9569331827542736)/(1328791069714559)*a^(8) - (34369619076858496)/(1328791069714559)*a^(7) + (54562037704747428)/(1328791069714559)*a^(6) + (20401977937087704)/(1328791069714559)*a^(5) - (10303865935107529)/(1328791069714559)*a^(4) - (4769622848022132)/(1328791069714559)*a^(3) - (7346676033179178)/(1328791069714559)*a^(2) + (1374783357335230)/(1328791069714559)*a + (684626140719557)/(1328791069714559) , (297059834235095)/(1328791069714559)*a^(20) + (360000003954201)/(1328791069714559)*a^(19) + (183746038812464)/(1328791069714559)*a^(18) - (1223258775106103)/(1328791069714559)*a^(17) + (364694720935607)/(1328791069714559)*a^(16) + (1676768613297669)/(1328791069714559)*a^(15) + (751787780176827)/(1328791069714559)*a^(14) - (8032463198992944)/(1328791069714559)*a^(13) - (5638660408090177)/(1328791069714559)*a^(12) + (15484930183647854)/(1328791069714559)*a^(11) + (1643885245060051)/(120799188155869)*a^(10) - (5040008887973216)/(1328791069714559)*a^(9) - (40204488523282910)/(1328791069714559)*a^(8) - (14036786205574362)/(1328791069714559)*a^(7) + (9422324671911306)/(1328791069714559)*a^(6) + (37784769856779962)/(1328791069714559)*a^(5) + (5125106500440533)/(1328791069714559)*a^(4) - (8779464467159853)/(1328791069714559)*a^(3) - (1415742607322069)/(1328791069714559)*a^(2) - (3193688592098684)/(1328791069714559)*a - (150840250017882)/(1328791069714559) , (442527599481139)/(1328791069714559)*a^(20) + (527034342486649)/(1328791069714559)*a^(19) + (515538102398970)/(1328791069714559)*a^(18) - (1634578460545971)/(1328791069714559)*a^(17) + (1044260193710560)/(1328791069714559)*a^(16) + (1679554567391321)/(1328791069714559)*a^(15) + (2567047748295009)/(1328791069714559)*a^(14) - (12250371086601732)/(1328791069714559)*a^(13) - (5501672472117170)/(1328791069714559)*a^(12) + (15668093247361002)/(1328791069714559)*a^(11) + (2658600277022339)/(120799188155869)*a^(10) - (6598373017054438)/(1328791069714559)*a^(9) - (44748350218630926)/(1328791069714559)*a^(8) - (27075911279590718)/(1328791069714559)*a^(7) + (9101131499604072)/(1328791069714559)*a^(6) + (42206743933927642)/(1328791069714559)*a^(5) + (7321561059114114)/(1328791069714559)*a^(4) - (7696253994208519)/(1328791069714559)*a^(3) - (2044533338484327)/(1328791069714559)*a^(2) - (1075331149281236)/(1328791069714559)*a - (318522420098555)/(1328791069714559) , (53748058787158)/(1328791069714559)*a^(20) + (71516280800791)/(1328791069714559)*a^(19) + (112984138599261)/(1328791069714559)*a^(18) - (115213485757685)/(1328791069714559)*a^(17) + (244023795718907)/(1328791069714559)*a^(16) + (194102467565813)/(1328791069714559)*a^(15) + (540564902171506)/(1328791069714559)*a^(14) - (1289843741212729)/(1328791069714559)*a^(13) - (145822893715116)/(1328791069714559)*a^(12) + (992712973733868)/(1328791069714559)*a^(11) + (317882427562025)/(120799188155869)*a^(10) - (505607399786732)/(1328791069714559)*a^(9) - (1891273210732815)/(1328791069714559)*a^(8) - (2841550337707264)/(1328791069714559)*a^(7) + (8597974636695)/(1328791069714559)*a^(6) + (1025789599587476)/(1328791069714559)*a^(5) + (517549734835537)/(1328791069714559)*a^(4) + (206427656617492)/(1328791069714559)*a^(3) - (135837380624104)/(1328791069714559)*a^(2) - (70684228260110)/(1328791069714559)*a - (755310368979667)/(1328791069714559) , (315749009474460)/(1328791069714559)*a^(20) + (483218921332671)/(1328791069714559)*a^(19) + (444323145635316)/(1328791069714559)*a^(18) - (982626167866439)/(1328791069714559)*a^(17) + (294969879507654)/(1328791069714559)*a^(16) + (1785341207712104)/(1328791069714559)*a^(15) + (1535418185581457)/(1328791069714559)*a^(14) - (7320738191678464)/(1328791069714559)*a^(13) - (7789845729176294)/(1328791069714559)*a^(12) + (12788347125937431)/(1328791069714559)*a^(11) + (20483567479633162)/(1328791069714559)*a^(10) + (4610626246069036)/(1328791069714559)*a^(9) - (37093737643354902)/(1328791069714559)*a^(8) - (21255630421802223)/(1328791069714559)*a^(7) - (5402980051928900)/(1328791069714559)*a^(6) + (34255607012061813)/(1328791069714559)*a^(5) + (8541310579718461)/(1328791069714559)*a^(4) + (1659316239884718)/(1328791069714559)*a^(3) - (182234544528305)/(120799188155869)*a^(2) - (2293814668705986)/(1328791069714559)*a - (68182380271880)/(120799188155869) , (275454944961918)/(1328791069714559)*a^(20) - (132304543061547)/(1328791069714559)*a^(19) + (237745114453712)/(1328791069714559)*a^(18) - (1555632522081614)/(1328791069714559)*a^(17) + (2822695413506411)/(1328791069714559)*a^(16) - (2241638586755721)/(1328791069714559)*a^(15) + (3664941017151913)/(1328791069714559)*a^(14) - (12581060586808750)/(1328791069714559)*a^(13) + (13991005181704630)/(1328791069714559)*a^(12) - (2549932456415062)/(1328791069714559)*a^(11) + (17554076769648963)/(1328791069714559)*a^(10) - (33409141725108471)/(1328791069714559)*a^(9) + (4208147666411362)/(1328791069714559)*a^(8) - (888178175816530)/(120799188155869)*a^(7) + (32962815606884789)/(1328791069714559)*a^(6) + (1838477440369184)/(1328791069714559)*a^(5) - (10622252713460417)/(1328791069714559)*a^(4) - (7115311032821652)/(1328791069714559)*a^(3) - (1917849219174019)/(1328791069714559)*a^(2) + (2318429667808957)/(1328791069714559)*a + (1369695343599362)/(1328791069714559) , (683604998634152)/(1328791069714559)*a^(20) - (56110509955374)/(1328791069714559)*a^(19) + (1001186096489160)/(1328791069714559)*a^(18) - (3305143079585337)/(1328791069714559)*a^(17) + (6153812805311263)/(1328791069714559)*a^(16) - (471480857370338)/(120799188155869)*a^(15) + (9651296007847774)/(1328791069714559)*a^(14) - (28488770316366365)/(1328791069714559)*a^(13) + (27765080215474935)/(1328791069714559)*a^(12) - (11219386353694344)/(1328791069714559)*a^(11) + (46857402958407256)/(1328791069714559)*a^(10) - (5390086744107788)/(120799188155869)*a^(9) + (16249121211228934)/(1328791069714559)*a^(8) - (44727023638897742)/(1328791069714559)*a^(7) + (42181664026928065)/(1328791069714559)*a^(6) - (2731384444784418)/(1328791069714559)*a^(5) - (765353918379492)/(1328791069714559)*a^(4) + (9762433403904705)/(1328791069714559)*a^(3) - (6373841666050248)/(1328791069714559)*a^(2) + (3904221934603796)/(1328791069714559)*a - (977766694681552)/(1328791069714559) , (380475925410286)/(1328791069714559)*a^(20) + (220496744457618)/(1328791069714559)*a^(19) + (696306711748832)/(1328791069714559)*a^(18) - (1536995787825967)/(1328791069714559)*a^(17) + (2440181767478307)/(1328791069714559)*a^(16) - (1442226874329497)/(1328791069714559)*a^(15) + (5151154997352500)/(1328791069714559)*a^(14) - (13906328267036300)/(1328791069714559)*a^(13) + (7514682071791716)/(1328791069714559)*a^(12) - (284462633524552)/(120799188155869)*a^(11) + (30436782924335724)/(1328791069714559)*a^(10) - (20039626753408275)/(1328791069714559)*a^(9) - (1706267036537429)/(1328791069714559)*a^(8) - (35507451232530078)/(1328791069714559)*a^(7) + (15042081980540444)/(1328791069714559)*a^(6) + (3028683529923445)/(1328791069714559)*a^(5) + (12247039645820427)/(1328791069714559)*a^(4) + (2961795525837510)/(1328791069714559)*a^(3) + (232296741154899)/(1328791069714559)*a^(2) - (548532157004254)/(1328791069714559)*a - (1329952762942015)/(1328791069714559) , (751910697883090)/(1328791069714559)*a^(20) + (48237792128426)/(1328791069714559)*a^(19) + (596363061463564)/(1328791069714559)*a^(18) - (3681035322164730)/(1328791069714559)*a^(17) + (5565130193500017)/(1328791069714559)*a^(16) - (2598320662376063)/(1328791069714559)*a^(15) + (6564858803903889)/(1328791069714559)*a^(14) - (28367439200430784)/(1328791069714559)*a^(13) + (1885844713845364)/(120799188155869)*a^(12) + (9631586408768552)/(1328791069714559)*a^(11) + (40133995793190719)/(1328791069714559)*a^(10) - (60516334074821554)/(1328791069714559)*a^(9) - (23004013254586575)/(1328791069714559)*a^(8) - (18722283732087182)/(1328791069714559)*a^(7) + (52830166266907842)/(1328791069714559)*a^(6) + (30660580867484723)/(1328791069714559)*a^(5) - (20868582891902662)/(1328791069714559)*a^(4) - (6175580888635998)/(1328791069714559)*a^(3) - (4052893829052338)/(1328791069714559)*a^(2) - (1266238057769328)/(1328791069714559)*a + (1950581266370204)/(1328791069714559) , (698923823931459)/(1328791069714559)*a^(20) + (423494427091323)/(1328791069714559)*a^(19) + (766440923049085)/(1328791069714559)*a^(18) - (3084071119269933)/(1328791069714559)*a^(17) + (3519369943909769)/(1328791069714559)*a^(16) - (556920559768179)/(1328791069714559)*a^(15) + (6063012465526719)/(1328791069714559)*a^(14) - (23818272714378286)/(1328791069714559)*a^(13) + (7051214770129770)/(1328791069714559)*a^(12) + (1101422478949610)/(120799188155869)*a^(11) + (46672856016152657)/(1328791069714559)*a^(10) - (34938413735205326)/(1328791069714559)*a^(9) - (39101231806880707)/(1328791069714559)*a^(8) - (42317190841217724)/(1328791069714559)*a^(7) + (32717176127135683)/(1328791069714559)*a^(6) + (44640333373378815)/(1328791069714559)*a^(5) + (8193778870683525)/(1328791069714559)*a^(4) - (6016063982211093)/(1328791069714559)*a^(3) - (7840746673206841)/(1328791069714559)*a^(2) - (3015813552526661)/(1328791069714559)*a - (1780994581397121)/(1328791069714559) ], 11721.4726991, [[x^3 - x^2 + x + 1, 1], [x^7 - x^5 - x^4 - x^3 + x^2 + x + 1, 1]]]