/* 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 + 7*x^16 - 11*x^15 + 37*x^14 - 22*x^13 + 71*x^12 + 33*x^11 + 204*x^10 + 118*x^9 + 305*x^8 + 169*x^7 + 216*x^6 + 59*x^5 + 84*x^4 + 8*x^3 + 12*x^2 + x + 1, 18, 3, [0, 9], -4466413101188628826579, [7, 19], [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, 1/13*a^16 - 1/13*a^15 - 6/13*a^14 - 6/13*a^13 + 1/13*a^12 + 2/13*a^11 + 2/13*a^10 + 6/13*a^9 - 6/13*a^8 + 1/13*a^7 + 4/13*a^6 + 2/13*a^5 + 6/13*a^2 + 4/13, 1/390581495667853139*a^17 - 1445514591833235/390581495667853139*a^16 + 127684316295014980/390581495667853139*a^15 - 32747011183029448/390581495667853139*a^14 + 69765186745153966/390581495667853139*a^13 - 16228948298466863/390581495667853139*a^12 - 189888712865148035/390581495667853139*a^11 + 181965739436189637/390581495667853139*a^10 + 13795726450731115/390581495667853139*a^9 - 95194290284976635/390581495667853139*a^8 - 41770204369500135/390581495667853139*a^7 + 179384390028789259/390581495667853139*a^6 - 8791174782984872/30044730435988703*a^5 + 5100222016840991/30044730435988703*a^4 - 177661710698938135/390581495667853139*a^3 + 5525867689208321/30044730435988703*a^2 - 164956053636172951/390581495667853139*a - 12163829605837008/30044730435988703], 0, 1, [], 0, [ (2994530600305)/(6617445668093)*a^(17) - (12872771791889)/(6617445668093)*a^(16) + (23821455544059)/(6617445668093)*a^(15) - (35835389602039)/(6617445668093)*a^(14) + (113760548396564)/(6617445668093)*a^(13) - (88105020793119)/(6617445668093)*a^(12) + (201014156652084)/(6617445668093)*a^(11) + (68179752956481)/(6617445668093)*a^(10) + (524230239090920)/(6617445668093)*a^(9) + (178547836878025)/(6617445668093)*a^(8) + (685807639492640)/(6617445668093)*a^(7) + (246677530797124)/(6617445668093)*a^(6) + (363342862666188)/(6617445668093)*a^(5) + (865159726717)/(509034282161)*a^(4) + (149158399103891)/(6617445668093)*a^(3) + (2878669247460)/(6617445668093)*a^(2) + (7162740444614)/(6617445668093)*a + (7852178339126)/(6617445668093) , (2994530600305)/(6617445668093)*a^(17) - (12872771791889)/(6617445668093)*a^(16) + (23821455544059)/(6617445668093)*a^(15) - (35835389602039)/(6617445668093)*a^(14) + (113760548396564)/(6617445668093)*a^(13) - (88105020793119)/(6617445668093)*a^(12) + (201014156652084)/(6617445668093)*a^(11) + (68179752956481)/(6617445668093)*a^(10) + (524230239090920)/(6617445668093)*a^(9) + (178547836878025)/(6617445668093)*a^(8) + (685807639492640)/(6617445668093)*a^(7) + (246677530797124)/(6617445668093)*a^(6) + (363342862666188)/(6617445668093)*a^(5) + (865159726717)/(509034282161)*a^(4) + (149158399103891)/(6617445668093)*a^(3) + (2878669247460)/(6617445668093)*a^(2) + (7162740444614)/(6617445668093)*a + (1234732671033)/(6617445668093) , (90698956960258815)/(390581495667853139)*a^(17) - (433234616396921116)/(390581495667853139)*a^(16) + (884852906078228040)/(390581495667853139)*a^(15) - (104190772620580656)/(30044730435988703)*a^(14) + (3879141504394040683)/(390581495667853139)*a^(13) - (4215021644104601383)/(390581495667853139)*a^(12) + (519721395714185594)/(30044730435988703)*a^(11) - (1047284704994697732)/(390581495667853139)*a^(10) + (13989429863239733941)/(390581495667853139)*a^(9) - (4170934427124437512)/(390581495667853139)*a^(8) + (13766566023379456960)/(390581495667853139)*a^(7) - (7737203392275343699)/(390581495667853139)*a^(6) + (851280196642652818)/(390581495667853139)*a^(5) - (853377586138106364)/(30044730435988703)*a^(4) + (1136787791222979461)/(390581495667853139)*a^(3) - (2957097581780688054)/(390581495667853139)*a^(2) + (350357773109651641)/(390581495667853139)*a - (139000984546276082)/(390581495667853139) , (90698956960258815)/(390581495667853139)*a^(17) - (433234616396921116)/(390581495667853139)*a^(16) + (884852906078228040)/(390581495667853139)*a^(15) - (104190772620580656)/(30044730435988703)*a^(14) + (3879141504394040683)/(390581495667853139)*a^(13) - (4215021644104601383)/(390581495667853139)*a^(12) + (519721395714185594)/(30044730435988703)*a^(11) - (1047284704994697732)/(390581495667853139)*a^(10) + (13989429863239733941)/(390581495667853139)*a^(9) - (4170934427124437512)/(390581495667853139)*a^(8) + (13766566023379456960)/(390581495667853139)*a^(7) - (7737203392275343699)/(390581495667853139)*a^(6) + (851280196642652818)/(390581495667853139)*a^(5) - (853377586138106364)/(30044730435988703)*a^(4) + (1136787791222979461)/(390581495667853139)*a^(3) - (2957097581780688054)/(390581495667853139)*a^(2) + (350357773109651641)/(390581495667853139)*a + (251580511121577057)/(390581495667853139) , (138544205500482342)/(390581495667853139)*a^(17) - (427657517516751273)/(390581495667853139)*a^(16) + (468707247931845803)/(390581495667853139)*a^(15) - (697789964117876289)/(390581495667853139)*a^(14) + (3925053240027629688)/(390581495667853139)*a^(13) + (1320524410751903170)/(390581495667853139)*a^(12) + (7616300782973212654)/(390581495667853139)*a^(11) + (12087013283524140865)/(390581495667853139)*a^(10) + (33430258890830862891)/(390581495667853139)*a^(9) + (39997643754768697586)/(390581495667853139)*a^(8) + (56349661245384610648)/(390581495667853139)*a^(7) + (55397741925465284495)/(390581495667853139)*a^(6) + (47560378756046338021)/(390581495667853139)*a^(5) + (2021646044179648895)/(30044730435988703)*a^(4) + (13540494601126679029)/(390581495667853139)*a^(3) + (6122602203544610821)/(390581495667853139)*a^(2) + (1179865057121418468)/(390581495667853139)*a + (327185896221599262)/(390581495667853139) , (10012233820832741)/(390581495667853139)*a^(17) - (72158154364200304)/(390581495667853139)*a^(16) + (202191907984721286)/(390581495667853139)*a^(15) - (337887244912046532)/(390581495667853139)*a^(14) + (697882048745635144)/(390581495667853139)*a^(13) - (1357060018180605308)/(390581495667853139)*a^(12) + (1432603883489715257)/(390581495667853139)*a^(11) - (1628479447421719959)/(390581495667853139)*a^(10) + (945663064656180720)/(390581495667853139)*a^(9) - (4704324681155180652)/(390581495667853139)*a^(8) + (454077554645718130)/(390581495667853139)*a^(7) - (6192442613810396427)/(390581495667853139)*a^(6) - (1626714297261450188)/(390581495667853139)*a^(5) - (335650083162098729)/(30044730435988703)*a^(4) + (213874197199055560)/(390581495667853139)*a^(3) - (2463311738514164990)/(390581495667853139)*a^(2) - (179969764528004214)/(390581495667853139)*a - (511193219087884227)/(390581495667853139) , (12283029233146579)/(390581495667853139)*a^(17) - (9434017864467779)/(390581495667853139)*a^(16) - (100146128445595337)/(390581495667853139)*a^(15) + (241437239659765850)/(390581495667853139)*a^(14) - (126316272997545802)/(390581495667853139)*a^(13) + (1415721471709899454)/(390581495667853139)*a^(12) - (902297487224657320)/(390581495667853139)*a^(11) + (3445707167988765824)/(390581495667853139)*a^(10) + (2191192119344055463)/(390581495667853139)*a^(9) + (8096552031330234145)/(390581495667853139)*a^(8) + (2648972658476908132)/(390581495667853139)*a^(7) + (9360702728627043621)/(390581495667853139)*a^(6) + (84032081003805014)/(30044730435988703)*a^(5) + (254990957094081405)/(30044730435988703)*a^(4) - (2178488044615874159)/(390581495667853139)*a^(3) + (138670003253954373)/(30044730435988703)*a^(2) - (908119374694273360)/(390581495667853139)*a + (22872660913527675)/(30044730435988703) , (63900457472831688)/(390581495667853139)*a^(17) - (281797578336926323)/(390581495667853139)*a^(16) + (529585178402343309)/(390581495667853139)*a^(15) - (795222769363951504)/(390581495667853139)*a^(14) + (2491465142795700623)/(390581495667853139)*a^(13) - (2124461256893137969)/(390581495667853139)*a^(12) + (4278027365994992672)/(390581495667853139)*a^(11) + (773056813521572644)/(390581495667853139)*a^(10) + (10582894198377605128)/(390581495667853139)*a^(9) + (1457091678328758101)/(390581495667853139)*a^(8) + (914758063356105740)/(30044730435988703)*a^(7) + (282144665034656183)/(390581495667853139)*a^(6) + (2854631924522485753)/(390581495667853139)*a^(5) - (447372587805489874)/(30044730435988703)*a^(4) - (737836638938477972)/(390581495667853139)*a^(3) - (3141571401674296941)/(390581495667853139)*a^(2) - (743358463253592600)/(390581495667853139)*a - (148569750487288411)/(390581495667853139) ], 1060.85049787, [[x^2 - x + 5, 1], [x^3 - x^2 + 5*x - 6, 3], [x^3 - x^2 - 2*x + 1, 1], [x^6 - 3*x^5 - 4*x^4 + 13*x^3 + 7*x^2 - 14*x + 28, 1], [x^6 - x^5 + 10*x^4 - 7*x^3 + 75*x^2 - 16*x + 239, 1], [x^6 - x^5 + x^4 + 5*x^2 + 4*x + 1, 2], [x^9 - 4*x^8 + 11*x^7 - 23*x^6 + 38*x^5 - 50*x^4 + 46*x^3 - 28*x^2 + 9*x - 1, 3]]]