/* 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^18 - 63*x^16 + 1221*x^14 - 9772*x^12 + 38544*x^10 - 84315*x^8 + 107675*x^6 - 79935*x^4 + 31974*x^2 - 5329, 18, 48, [18, 0], 318184219227442073683553705831694336, [2, 3, 73], [1, a, a^2, a^3, a^4, a^5, 1/2*a^6 - 1/2*a^4 - 1/2, 1/2*a^7 - 1/2*a^5 - 1/2*a, 1/2*a^8 - 1/2*a^4 - 1/2*a^2 - 1/2, 1/2*a^9 - 1/2*a^5 - 1/2*a^3 - 1/2*a, 1/2*a^10 - 1/2*a^2 - 1/2, 1/2*a^11 - 1/2*a^3 - 1/2*a, 1/292*a^12 + 5/146*a^10 + 53/292*a^8 + 5/146*a^6 - 1/2*a^4 + 1/4, 1/292*a^13 + 5/146*a^11 + 53/292*a^9 + 5/146*a^7 - 1/2*a^5 + 1/4*a, 1/292*a^14 - 47/292*a^10 + 16/73*a^8 + 23/146*a^6 + 1/4*a^2 - 1/2, 1/292*a^15 - 47/292*a^11 + 16/73*a^9 + 23/146*a^7 + 1/4*a^3 - 1/2*a, 1/52268*a^16 - 15/13067*a^14 - 33/52268*a^12 - 2602/13067*a^10 + 40/13067*a^8 + 953/26134*a^6 + 87/716*a^4 - 59/358*a^2 + 21/179, 1/52268*a^17 - 15/13067*a^15 - 33/52268*a^13 - 2602/13067*a^11 + 40/13067*a^9 + 953/26134*a^7 + 87/716*a^5 - 59/358*a^3 + 21/179*a], 0, 1, [], 1, [ (5)/(73)*a^(16) - (313)/(73)*a^(14) + (11959)/(146)*a^(12) - (92899)/(146)*a^(10) + (347573)/(146)*a^(8) - (349373)/(73)*a^(6) + 5329*a^(4) - (6205)/(2)*a^(2) + 735 , (5)/(73)*a^(16) - (313)/(73)*a^(14) + (11959)/(146)*a^(12) - (92899)/(146)*a^(10) + (347573)/(146)*a^(8) - (349373)/(73)*a^(6) + 5329*a^(4) - (6205)/(2)*a^(2) + 736 , (427)/(13067)*a^(16) - (26694)/(13067)*a^(14) + (508410)/(13067)*a^(12) - (3925116)/(13067)*a^(10) + (14533668)/(13067)*a^(8) - (28768752)/(13067)*a^(6) + (428443)/(179)*a^(4) - (240663)/(179)*a^(2) + (54305)/(179) , (427)/(13067)*a^(16) - (26694)/(13067)*a^(14) + (508410)/(13067)*a^(12) - (3925116)/(13067)*a^(10) + (14533668)/(13067)*a^(8) - (28768752)/(13067)*a^(6) + (428443)/(179)*a^(4) - (240663)/(179)*a^(2) + (54484)/(179) , (427)/(13067)*a^(16) - (26694)/(13067)*a^(14) + (508410)/(13067)*a^(12) - (3925116)/(13067)*a^(10) + (14533668)/(13067)*a^(8) - (28768752)/(13067)*a^(6) + (428443)/(179)*a^(4) - (240663)/(179)*a^(2) + a + (54484)/(179) , (427)/(13067)*a^(16) - (26694)/(13067)*a^(14) + (508410)/(13067)*a^(12) - (3925116)/(13067)*a^(10) + (14533668)/(13067)*a^(8) - (28768752)/(13067)*a^(6) + (428443)/(179)*a^(4) - (240663)/(179)*a^(2) + a + (54305)/(179) , (32681)/(13067)*a^(16) - (2034787)/(13067)*a^(14) + (76801565)/(26134)*a^(12) - (290948562)/(13067)*a^(10) + (2087288415)/(26134)*a^(8) - (3952919919)/(26134)*a^(6) + (55733641)/(358)*a^(4) - (14717183)/(179)*a^(2) + (3118777)/(179) , (29239)/(26134)*a^(16) - (1823255)/(26134)*a^(14) + (17263348)/(13067)*a^(12) - (131709185)/(13067)*a^(10) + (477873384)/(13067)*a^(8) - (919018204)/(13067)*a^(6) + (13209317)/(179)*a^(4) - (14282387)/(358)*a^(2) + (3111037)/(358) , (73177)/(52268)*a^(16) - (1139899)/(13067)*a^(14) + (43096959)/(26134)*a^(12) - (327611623)/(26134)*a^(10) + (2362215853)/(52268)*a^(8) - (2249718543)/(26134)*a^(6) + (63792105)/(716)*a^(4) - (8463191)/(179)*a^(2) + (7200999)/(716) , (36455)/(52268)*a^(16) - (568663)/(13067)*a^(14) + (10784045)/(13067)*a^(12) - (82519409)/(13067)*a^(10) + (1203747161)/(52268)*a^(8) - (1166202679)/(26134)*a^(6) + (33863283)/(716)*a^(4) - (9268959)/(358)*a^(2) + (4096661)/(716) , (76593)/(52268)*a^(17) - (47509)/(52268)*a^(16) - (4759723)/(52268)*a^(15) + (2954897)/(52268)*a^(14) + (22360434)/(13067)*a^(13) - (27816811)/(26134)*a^(12) - (671850767)/(52268)*a^(11) + (419510441)/(52268)*a^(10) + (2377006875)/(52268)*a^(9) - (1493252931)/(52268)*a^(8) - (2212313833)/(26134)*a^(7) + (1400037943)/(26134)*a^(6) + (61178399)/(716)*a^(5) - (39025037)/(716)*a^(4) - (31640125)/(716)*a^(3) + (20347965)/(716)*a^(2) + (6560007)/(716)*a - (4252991)/(716) , (5768)/(13067)*a^(17) + (447677)/(52268)*a^(16) - (1425669)/(52268)*a^(15) - (27808067)/(52268)*a^(14) + (6613983)/(13067)*a^(13) + (522050881)/(52268)*a^(12) - (193931507)/(52268)*a^(11) - (3913973315)/(52268)*a^(10) + (165682714)/(13067)*a^(9) + (3451753938)/(13067)*a^(8) - (299394877)/(13067)*a^(7) - (6403598147)/(13067)*a^(6) + (8194599)/(358)*a^(5) + (352985857)/(716)*a^(4) - (8628959)/(716)*a^(3) - (182011439)/(716)*a^(2) + (935551)/(358)*a + (18823377)/(358) , (157709)/(52268)*a^(17) - (8670)/(13067)*a^(16) - (4877871)/(26134)*a^(15) + (549019)/(13067)*a^(14) + (90720973)/(26134)*a^(13) - (10746197)/(13067)*a^(12) - (667346677)/(26134)*a^(11) + (174253933)/(26134)*a^(10) + (4566029723)/(52268)*a^(9) - (686403145)/(26134)*a^(8) - (4077375801)/(26134)*a^(7) + (713666458)/(13067)*a^(6) + (107785183)/(716)*a^(5) - (21800557)/(358)*a^(4) - (26622365)/(358)*a^(3) + (6131183)/(179)*a^(2) + (10555575)/(716)*a - (1362298)/(179) , (86035)/(26134)*a^(17) - (96811)/(26134)*a^(16) - (10710661)/(52268)*a^(15) + (12047815)/(52268)*a^(14) + (50505906)/(13067)*a^(13) - (227052429)/(52268)*a^(12) - (1529282993)/(52268)*a^(11) + (1715533649)/(52268)*a^(10) + (2740862641)/(26134)*a^(9) - (6127055251)/(52268)*a^(8) - (5195558141)/(26134)*a^(7) + (2886026858)/(13067)*a^(6) + (73528527)/(358)*a^(5) - (40491983)/(179)*a^(4) - (78247813)/(716)*a^(3) + (85231939)/(716)*a^(2) + (4193967)/(179)*a - (18036885)/(716) , (159983)/(13067)*a^(17) - (159666)/(13067)*a^(16) - (19894091)/(26134)*a^(15) + (9927220)/(13067)*a^(14) + (187139654)/(13067)*a^(13) - (186761685)/(13067)*a^(12) - (1409104961)/(13067)*a^(11) + (19262741)/(179)*a^(10) + (10010319053)/(26134)*a^(9) - (4994275816)/(13067)*a^(8) - (18731030901)/(26134)*a^(7) + (18687561263)/(26134)*a^(6) + (130318462)/(179)*a^(5) - (259981579)/(358)*a^(4) - (135797689)/(358)*a^(3) + (67712779)/(179)*a^(2) + (28392737)/(358)*a - (28308693)/(358) , (125347)/(26134)*a^(17) + (230417)/(52268)*a^(16) - (3898956)/(13067)*a^(15) - (7159351)/(26134)*a^(14) + (146890861)/(26134)*a^(13) + (67266942)/(13067)*a^(12) - (1108804729)/(26134)*a^(11) - (1010646207)/(26134)*a^(10) + (3953764711)/(26134)*a^(9) + (7154579223)/(52268)*a^(8) - (7432061481)/(26134)*a^(7) - (3334108572)/(13067)*a^(6) + (103912515)/(358)*a^(5) + (184916019)/(716)*a^(4) - (27198243)/(179)*a^(3) - (24016117)/(179)*a^(2) + (11423969)/(358)*a + (20041493)/(716) , (622863)/(52268)*a^(17) - (235281)/(52268)*a^(16) - (19335839)/(26134)*a^(15) + (3680112)/(13067)*a^(14) + (362620841)/(26134)*a^(13) - (140399829)/(26134)*a^(12) - (1356633738)/(13067)*a^(11) + (543053462)/(13067)*a^(10) + (19090278051)/(52268)*a^(9) - (8036798571)/(52268)*a^(8) - (17668760903)/(26134)*a^(7) + (3938288521)/(13067)*a^(6) + (486730767)/(716)*a^(5) - (229692165)/(716)*a^(4) - (125739483)/(358)*a^(3) + (31280225)/(179)*a^(2) + (52268045)/(716)*a - (27269253)/(716) ], 1494891798290, [[x^3 - 3*x - 1, 1], [x^6 - 63*x^4 + 1095*x^2 - 5329, 1], [x^9 - 3*x^8 - 18*x^7 + 40*x^6 + 123*x^5 - 141*x^4 - 373*x^3 + 57*x^2 + 339*x + 127, 1]]]