/* 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 - 4*x^17 + 9*x^16 - 14*x^15 + 17*x^14 - 16*x^13 + 15*x^12 - 23*x^11 + 45*x^10 - 65*x^9 + 62*x^8 - 40*x^7 + 29*x^6 - 39*x^5 + 49*x^4 - 41*x^3 + 22*x^2 - 7*x + 1, 18, 284, [0, 9], -1198241002273018867, [31, 67], [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, 1/6457*a^17 + 2237/6457*a^16 + 2494/6457*a^15 - 2722/6457*a^14 + 1880/6457*a^13 + 3100/6457*a^12 - 617/6457*a^11 - 922/6457*a^10 + 83/6457*a^9 - 1315/6457*a^8 - 2461/6457*a^7 - 863/6457*a^6 + 286/587*a^5 - 897/6457*a^4 - 2001/6457*a^3 - 284/587*a^2 - 134/587*a + 2743/6457], 0, 1, [], 0, [ (80980)/(6457)*a^(17) - (270069)/(6457)*a^(16) + (544462)/(6457)*a^(15) - (760420)/(6457)*a^(14) + (851578)/(6457)*a^(13) - (707516)/(6457)*a^(12) + (722790)/(6457)*a^(11) - (1370153)/(6457)*a^(10) + (2711543)/(6457)*a^(9) - (3409152)/(6457)*a^(8) + (2657352)/(6457)*a^(7) - (1389884)/(6457)*a^(6) + (126400)/(587)*a^(5) - (2225475)/(6457)*a^(4) + (2438181)/(6457)*a^(3) - (148171)/(587)*a^(2) + (59249)/(587)*a - (121800)/(6457) , a , (86349)/(6457)*a^(17) - (282550)/(6457)*a^(16) + (562301)/(6457)*a^(15) - (775561)/(6457)*a^(14) + (859464)/(6457)*a^(13) - (703305)/(6457)*a^(12) + (729015)/(6457)*a^(11) - (1419508)/(6457)*a^(10) + (2802035)/(6457)*a^(9) - (3457085)/(6457)*a^(8) + (2616523)/(6457)*a^(7) - (1329092)/(6457)*a^(6) + (128690)/(587)*a^(5) - (2295573)/(6457)*a^(4) + (2452174)/(6457)*a^(3) - (143832)/(587)*a^(2) + (54769)/(587)*a - (103679)/(6457) , (23316)/(6457)*a^(17) - (92152)/(6457)*a^(16) + (204986)/(6457)*a^(15) - (310235)/(6457)*a^(14) + (365556)/(6457)*a^(13) - (329365)/(6457)*a^(12) + (303703)/(6457)*a^(11) - (492731)/(6457)*a^(10) + (1005420)/(6457)*a^(9) - (1436158)/(6457)*a^(8) + (1300540)/(6457)*a^(7) - (737794)/(6457)*a^(6) + (47603)/(587)*a^(5) - (833182)/(6457)*a^(4) + (1081285)/(6457)*a^(3) - (75520)/(587)*a^(2) + (33716)/(587)*a - (78281)/(6457) , (63887)/(6457)*a^(17) - (217100)/(6457)*a^(16) + (446779)/(6457)*a^(15) - (633276)/(6457)*a^(14) + (717630)/(6457)*a^(13) - (606362)/(6457)*a^(12) + (608664)/(6457)*a^(11) - (1113664)/(6457)*a^(10) + (2216175)/(6457)*a^(9) - (2853372)/(6457)*a^(8) + (2307192)/(6457)*a^(7) - (1231445)/(6457)*a^(6) + (103445)/(587)*a^(5) - (1815181)/(6457)*a^(4) + (2064039)/(6457)*a^(3) - (129465)/(587)*a^(2) + (52780)/(587)*a - (110708)/(6457) , (77169)/(6457)*a^(17) - (278493)/(6457)*a^(16) + (576817)/(6457)*a^(15) - (827847)/(6457)*a^(14) + (938109)/(6457)*a^(13) - (802161)/(6457)*a^(12) + (775485)/(6457)*a^(11) - (1420675)/(6457)*a^(10) + (2860134)/(6457)*a^(9) - (3769911)/(6457)*a^(8) + (3060993)/(6457)*a^(7) - (1607142)/(6457)*a^(6) + (130035)/(587)*a^(5) - (2377729)/(6457)*a^(4) + (2741754)/(6457)*a^(3) - (172342)/(587)*a^(2) + (69799)/(587)*a - (140861)/(6457) , (172)/(587)*a^(17) + (279)/(587)*a^(16) - (129)/(587)*a^(15) + (242)/(587)*a^(14) + (510)/(587)*a^(13) - (383)/(587)*a^(12) + (1884)/(587)*a^(11) - (94)/(587)*a^(10) - (986)/(587)*a^(9) + (2750)/(587)*a^(8) + (4044)/(587)*a^(7) - (6382)/(587)*a^(6) + (3420)/(587)*a^(5) + (4206)/(587)*a^(4) - (190)/(587)*a^(3) - (3745)/(587)*a^(2) + (4165)/(587)*a - (1326)/(587) , (74523)/(6457)*a^(17) - (244241)/(6457)*a^(16) + (486349)/(6457)*a^(15) - (670022)/(6457)*a^(14) + (741809)/(6457)*a^(13) - (604204)/(6457)*a^(12) + (625935)/(6457)*a^(11) - (1221642)/(6457)*a^(10) + (2420978)/(6457)*a^(9) - (2989447)/(6457)*a^(8) + (2257018)/(6457)*a^(7) - (1131604)/(6457)*a^(6) + (109377)/(587)*a^(5) - (1973652)/(6457)*a^(4) + (2121788)/(6457)*a^(3) - (124104)/(587)*a^(2) + (46335)/(587)*a - (83058)/(6457) ], 22.3834819773, [[x^3 + x - 1, 1], [x^6 - 2*x^5 - 2*x^3 + 4*x^2 + x + 1, 1], [x^9 - x^8 - 3*x^7 + 4*x^6 + 5*x^5 - 5*x^4 - 5*x^3 + 2*x + 1, 1]]]