/* 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 - 35*x^15 + 599*x^12 - 6435*x^9 + 33352*x^6 + 7360*x^3 + 512, 18, 12, [0, 9], -140704327411684407000000000000, [2, 3, 5, 7], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, 1/2*a^10 - 1/2*a^7 - 1/2*a^4 - 1/2*a, 1/4*a^11 + 1/4*a^8 - 1/4*a^5 + 1/4*a^2, 1/72*a^12 - 3/8*a^9 - 1/8*a^6 - 3/8*a^3 + 2/9, 1/144*a^13 - 3/16*a^10 + 7/16*a^7 - 3/16*a^4 + 1/9*a, 1/288*a^14 - 3/32*a^11 + 7/32*a^8 + 13/32*a^5 + 1/18*a^2, 1/3772510272*a^15 - 11787011/3772510272*a^12 + 144812351/419167808*a^9 - 187267371/419167808*a^6 + 143282045/471563784*a^3 - 23585114/58945473, 1/22635061632*a^16 + 1/11317530816*a^15 + 1/864*a^14 - 11787011/22635061632*a^13 + 40608965/11317530816*a^12 + 5/96*a^11 + 563980159/2515006848*a^10 - 143847795/419167808*a^9 + 47/96*a^8 - 606435179/2515006848*a^7 + 199557423/419167808*a^6 + 5/96*a^5 - 799845523/2829382704*a^4 - 252559079/707345676*a^3 + 11/108*a^2 + 153251305/353672838*a + 48459353/176836419, 1/45270123264*a^17 + 1/11317530816*a^15 - 7131443/5030013696*a^14 + 1/432*a^13 - 11787011/11317530816*a^12 + 302000279/5030013696*a^11 + 5/48*a^10 + 563980159/1257503424*a^9 + 1960967645/5030013696*a^8 - 1/48*a^7 - 606435179/1257503424*a^6 - 136821611/707345676*a^5 + 5/48*a^4 + 614845829/1414691352*a^3 + 4511491/39296982*a^2 + 11/54*a - 23585114/176836419], 0, 18, [3, 6], 1, [ (2164)/(6549497)*a^(16) - (151475)/(13098994)*a^(13) + (1301445)/(6549497)*a^(10) - (14022200)/(6549497)*a^(7) + (73259200)/(6549497)*a^(4) + (19227011)/(13098994)*a , (32940209)/(22635061632)*a^(17) + (5197963)/(11317530816)*a^(16) - (1955)/(209583904)*a^(15) - (1158530459)/(22635061632)*a^(14) - (60616183)/(3772510272)*a^(13) + (1358623)/(5658765408)*a^(12) + (738135085)/(838335616)*a^(11) + (346462817)/(1257503424)*a^(10) - (1998835)/(628751712)*a^(9) - (7976865201)/(838335616)*a^(8) - (3732675925)/(1257503424)*a^(7) + (14336015)/(628751712)*a^(6) + (35486270029)/(707345676)*a^(5) + (43824325921)/(2829382704)*a^(4) + (784805)/(157187928)*a^(3) + (1484540687)/(707345676)*a^(2) + (239625877)/(117890946)*a - (244823917)/(176836419) , (190145)/(160532352)*a^(16) - (2225873)/(53510784)*a^(13) + (12737551)/(17836928)*a^(10) - (137255099)/(17836928)*a^(7) + (807777895)/(20066544)*a^(4) + (2208308)/(418053)*a - 1 , (29200817)/(45270123264)*a^(17) - (37206371)/(22635061632)*a^(16) + (1955)/(209583904)*a^(15) - (1027656059)/(45270123264)*a^(14) + (435080459)/(7545020544)*a^(13) - (1358623)/(5658765408)*a^(12) + (654842605)/(1676671232)*a^(11) - (2488920325)/(2515006848)*a^(10) + (1998835)/(628751712)*a^(9) - (7079444401)/(1676671232)*a^(8) + (26818320809)/(2515006848)*a^(7) - (14336015)/(628751712)*a^(6) + (31530273229)/(1414691352)*a^(5) - (39430252279)/(707345676)*a^(4) - (784805)/(157187928)*a^(3) + (329771057)/(353672838)*a^(2) - (862368733)/(117890946)*a + (244823917)/(176836419) , (6338677)/(7545020544)*a^(16) - (223131151)/(7545020544)*a^(13) + (426532507)/(838335616)*a^(10) - (4610108471)/(838335616)*a^(7) + (27427546835)/(943127568)*a^(4) + (25546493)/(117890946)*a , (14563)/(2986944)*a^(17) - (6338797)/(2515006848)*a^(16) + (8656)/(6549497)*a^(15) - (512287)/(2986944)*a^(14) + (222881119)/(2515006848)*a^(13) - (302950)/(6549497)*a^(12) + (2937741)/(995648)*a^(11) - (1278047761)/(838335616)*a^(10) + (5205780)/(6549497)*a^(9) - (31754369)/(995648)*a^(8) + (13812957861)/(838335616)*a^(7) - (56088800)/(6549497)*a^(6) + (251131661)/(1493472)*a^(5) - (13635887341)/(157187928)*a^(4) + (293036800)/(6549497)*a^(3) + (1313237)/(186684)*a^(2) - (142606463)/(39296982)*a + (18805531)/(6549497) , (521835299)/(45270123264)*a^(17) + (60979555)/(22635061632)*a^(16) - (509333)/(471563784)*a^(15) - (18325869473)/(45270123264)*a^(14) - (79441723)/(838335616)*a^(13) + (53022701)/(1414691352)*a^(12) + (11656259927)/(1676671232)*a^(11) + (4107442829)/(2515006848)*a^(10) - (100437857)/(157187928)*a^(9) - (125732989795)/(1676671232)*a^(8) - (44466333841)/(2515006848)*a^(7) + (1075764685)/(157187928)*a^(6) + (556225310101)/(1414691352)*a^(5) + (264985458437)/(2829382704)*a^(4) - (2049184777)/(58945473)*a^(3) + (27408322417)/(707345676)*a^(2) - (32689312)/(19648491)*a - (1764053717)/(176836419) , (32220515)/(2515006848)*a^(17) + (17715815)/(3772510272)*a^(16) - (376914059)/(838335616)*a^(14) - (207498391)/(1257503424)*a^(13) + (6467251215)/(838335616)*a^(11) + (1189008649)/(419167808)*a^(10) - (69685912827)/(838335616)*a^(8) - (12832919933)/(419167808)*a^(7) + (34155589879)/(78593964)*a^(5) + (75948087985)/(471563784)*a^(4) + (747006667)/(13098994)*a^(2) + (203085272)/(19648491)*a - 7 ], 5863974.111036323, [[x^2 - x + 2, 1], [x^3 - 2, 1], [x^3 - x^2 - 3*x - 3, 1], [x^3 - 5, 1], [x^3 - 20, 1], [x^6 - 10*x^3 + 32, 1], [x^6 - 3*x^5 + 9*x^4 - 3*x^3 + 3*x^2 - 57*x + 58, 1], [x^6 - x^5 - x^4 + 9*x^3 + 16*x^2 - 76*x + 74, 1], [x^6 - 3*x^5 + 9*x^4 + 27*x^3 - 42*x^2 - 192*x + 508, 1], [x^9 - 7*x^6 + 23*x^3 + 1, 1]]]