/* 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 - x^17 + 4*x^16 - x^15 + 12*x^14 - 9*x^13 + 12*x^12 - 18*x^11 + 26*x^10 - 12*x^9 - 4*x^8 - 5*x^7 + 31*x^6 - 17*x^5 - 3*x^4 + 5*x^2 - 3*x + 1, 18, 3, [0, 9], -43564677551979246963, [3, 19], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, 1/3*a^12 - 1/3*a^11 + 1/3*a^9 + 1/3*a^8 - 1/3*a^7 - 1/3*a^5 - 1/3*a^4 - 1/3*a^2 - 1/3*a + 1/3, 1/3*a^13 - 1/3*a^11 + 1/3*a^10 - 1/3*a^9 - 1/3*a^7 - 1/3*a^6 + 1/3*a^5 - 1/3*a^4 - 1/3*a^3 + 1/3*a^2 + 1/3, 1/3*a^14 - 1/3*a^10 + 1/3*a^9 + 1/3*a^7 + 1/3*a^6 + 1/3*a^5 + 1/3*a^4 + 1/3*a^3 - 1/3*a^2 + 1/3, 1/78*a^15 - 3/26*a^14 + 3/26*a^13 - 1/78*a^12 + 6/13*a^11 - 17/78*a^10 + 35/78*a^9 + 1/26*a^8 + 1/39*a^7 + 5/39*a^6 + 35/78*a^5 + 11/78*a^4 - 8/39*a^3 - 23/78*a^2 + 7/39*a - 7/78, 1/858*a^16 - 2/429*a^15 - 19/143*a^14 - 4/429*a^13 + 83/858*a^12 + 397/858*a^11 + 9/143*a^10 - 70/143*a^9 - 133/286*a^8 - 185/429*a^7 - 23/78*a^6 - 37/429*a^5 - 1/2*a^4 - 11/26*a^3 + 107/858*a^2 - 145/858*a - 347/858, 1/1570998*a^17 - 7/40282*a^16 - 8135/1570998*a^15 - 156595/1570998*a^14 - 2286/20141*a^13 + 256579/1570998*a^12 - 616127/1570998*a^11 + 11575/1570998*a^10 + 289771/785499*a^9 + 177115/785499*a^8 + 56867/523666*a^7 - 122825/523666*a^6 - 29609/261833*a^5 - 69749/142818*a^4 - 177217/785499*a^3 - 170047/1570998*a^2 - 254560/785499*a + 9201/261833], 0, 1, [], 0, [ (131732)/(785499)*a^(17) - (294956)/(785499)*a^(16) + (7037)/(10986)*a^(15) - (457835)/(523666)*a^(14) + (1958383)/(1570998)*a^(13) - (2172241)/(523666)*a^(12) + (497582)/(785499)*a^(11) - (7582787)/(1570998)*a^(10) + (7294097)/(1570998)*a^(9) - (6308743)/(1570998)*a^(8) - (2785624)/(785499)*a^(7) + (116374)/(60423)*a^(6) + (3492409)/(523666)*a^(5) - (996653)/(142818)*a^(4) - (1991395)/(785499)*a^(3) + (834461)/(523666)*a^(2) + (175514)/(261833)*a - (49527)/(523666) , (560)/(785499)*a^(17) + (9323)/(142818)*a^(16) + (30983)/(1570998)*a^(15) + (13417)/(40282)*a^(14) + (7991)/(40282)*a^(13) + (340625)/(261833)*a^(12) + (819835)/(1570998)*a^(11) + (3169981)/(1570998)*a^(10) - (84949)/(142818)*a^(9) + (1633343)/(785499)*a^(8) - (215290)/(261833)*a^(7) + (945657)/(523666)*a^(6) - (779853)/(523666)*a^(5) + (1770)/(1831)*a^(4) - (168239)/(1570998)*a^(3) + (1170337)/(785499)*a^(2) - (2027635)/(1570998)*a - (138400)/(785499) , (138400)/(785499)*a^(17) - (137840)/(785499)*a^(16) + (403251)/(523666)*a^(15) - (573)/(3662)*a^(14) + (116511)/(47606)*a^(13) - (66047)/(47606)*a^(12) + (894225)/(261833)*a^(11) - (378415)/(142818)*a^(10) + (10366781)/(1570998)*a^(9) - (4256039)/(1570998)*a^(8) + (1079743)/(785499)*a^(7) - (1337870)/(785499)*a^(6) + (11417771)/(1570998)*a^(5) - (640469)/(142818)*a^(4) + (114710)/(261833)*a^(3) - (168239)/(1570998)*a^(2) + (620779)/(261833)*a - (1287037)/(1570998) , (130265)/(523666)*a^(17) + (74992)/(785499)*a^(16) + (56861)/(71409)*a^(15) + (813652)/(785499)*a^(14) + (1655091)/(523666)*a^(13) + (2992549)/(1570998)*a^(12) + (414400)/(261833)*a^(11) - (339720)/(261833)*a^(10) + (2212201)/(1570998)*a^(9) + (2475851)/(785499)*a^(8) - (1181269)/(523666)*a^(7) - (1041855)/(261833)*a^(6) + (2860431)/(523666)*a^(5) + (602461)/(142818)*a^(4) - (788313)/(523666)*a^(3) - (814745)/(523666)*a^(2) - (774733)/(1570998)*a - (9719)/(785499) , (71515)/(785499)*a^(17) + (99232)/(785499)*a^(16) + (72660)/(261833)*a^(15) + (630640)/(785499)*a^(14) + (318849)/(261833)*a^(13) + (1775770)/(785499)*a^(12) + (289775)/(785499)*a^(11) + (1133569)/(785499)*a^(10) - (534795)/(261833)*a^(9) + (831295)/(261833)*a^(8) - (3040541)/(785499)*a^(7) - (213685)/(785499)*a^(6) - (1054145)/(785499)*a^(5) + (221735)/(71409)*a^(4) + (100990)/(785499)*a^(3) + (29090)/(261833)*a^(2) - (1144201)/(785499)*a + (15245)/(261833) , (11201)/(60423)*a^(17) - (5165)/(523666)*a^(16) + (750743)/(785499)*a^(15) + (279358)/(785499)*a^(14) + (936820)/(261833)*a^(13) + (1476997)/(1570998)*a^(12) + (9095929)/(1570998)*a^(11) - (1193626)/(785499)*a^(10) + (5317330)/(785499)*a^(9) - (183259)/(120846)*a^(8) + (99692)/(20141)*a^(7) - (1048871)/(523666)*a^(6) + (877815)/(261833)*a^(5) + (100597)/(142818)*a^(4) + (9580381)/(1570998)*a^(3) - (2476423)/(1570998)*a^(2) + (120113)/(142818)*a + (380617)/(523666) , (219748)/(785499)*a^(17) - (215661)/(523666)*a^(16) + (931243)/(785499)*a^(15) - (479137)/(785499)*a^(14) + (838769)/(261833)*a^(13) - (5565673)/(1570998)*a^(12) + (6304385)/(1570998)*a^(11) - (3367196)/(785499)*a^(10) + (7130768)/(785499)*a^(9) - (6556985)/(1570998)*a^(8) - (637882)/(261833)*a^(7) + (1114115)/(523666)*a^(6) + (2802212)/(261833)*a^(5) - (1263811)/(142818)*a^(4) - (2495917)/(1570998)*a^(3) + (4347193)/(1570998)*a^(2) + (3277271)/(1570998)*a - (718093)/(523666) , (58948)/(785499)*a^(17) - (22651)/(71409)*a^(16) + (135688)/(261833)*a^(15) - (795848)/(785499)*a^(14) + (268977)/(261833)*a^(13) - (922538)/(261833)*a^(12) + (710962)/(261833)*a^(11) - (3087947)/(785499)*a^(10) + (404140)/(71409)*a^(9) - (5125552)/(785499)*a^(8) + (962792)/(785499)*a^(7) + (1224341)/(785499)*a^(6) + (1735535)/(785499)*a^(5) - (575387)/(71409)*a^(4) + (1218814)/(785499)*a^(3) + (184774)/(60423)*a^(2) - (10273)/(261833)*a - (1002175)/(785499) ], 527.323608131, [[x^2 - x + 1, 1], [x^3 - x^2 - 6*x - 12, 3], [x^3 - x^2 - 6*x + 7, 1], [x^6 - 3*x^5 + 4*x^4 - 3*x^3 - 5*x^2 + 6*x + 12, 1], [x^6 - x^5 + x^4 - 2*x^3 + 4*x^2 - 3*x + 1, 2], [x^6 - x^5 + 7*x^4 - 8*x^3 + 43*x^2 - 42*x + 49, 1], [x^9 - x^8 - 3*x^7 + 2*x^6 - x^5 - x^4 + 6*x^3 - 4*x^2 + 3*x - 1, 3]]]