/* 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 - 3*x^17 - 15*x^16 + 73*x^15 - 3*x^14 - 465*x^13 + 707*x^12 + 735*x^11 - 2883*x^10 + 1773*x^9 + 2487*x^8 - 3723*x^7 + 212*x^6 + 2130*x^5 - 864*x^4 - 407*x^3 + 240*x^2 + 12*x - 8, 18, 178, [10, 4], 19706218363861771341471921, [3, 7, 71], [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, 1/2*a^16 - 1/2*a^15 - 1/2*a^14 - 1/2*a^13 - 1/2*a^12 - 1/2*a^11 - 1/2*a^10 - 1/2*a^9 - 1/2*a^8 - 1/2*a^7 - 1/2*a^6 - 1/2*a^5 - 1/2*a, 1/34635449268724*a^17 + 3520965709615/34635449268724*a^16 + 4811749501979/34635449268724*a^15 + 4647081358491/34635449268724*a^14 - 6028616897941/34635449268724*a^13 + 9443338569377/34635449268724*a^12 - 16178314914071/34635449268724*a^11 + 8055740738945/34635449268724*a^10 - 8360360741121/34635449268724*a^9 + 3172036779859/34635449268724*a^8 - 13139452747915/34635449268724*a^7 + 29452393327/34635449268724*a^6 - 3134059596363/17317724634362*a^5 + 7386206373773/17317724634362*a^4 + 250571940294/8658862317181*a^3 - 12479658927839/34635449268724*a^2 - 7405762789897/17317724634362*a - 570629700914/8658862317181], 0, 1, [], 1, [ (11554259128107)/(34635449268724)*a^(17) - (14382583870929)/(34635449268724)*a^(16) - (204816154001873)/(34635449268724)*a^(15) + (493352870119899)/(34635449268724)*a^(14) + (938834658826359)/(34635449268724)*a^(13) - (4016770855819803)/(34635449268724)*a^(12) + (700886474276277)/(34635449268724)*a^(11) + (11937137885461725)/(34635449268724)*a^(10) - (13332988599795065)/(34635449268724)*a^(9) - (8676434881832037)/(34635449268724)*a^(8) + (21734894620210293)/(34635449268724)*a^(7) - (3229126180825997)/(34635449268724)*a^(6) - (3306746088206553)/(8658862317181)*a^(5) + (2592865367563521)/(17317724634362)*a^(4) + (816984165670602)/(8658862317181)*a^(3) - (1275117220811277)/(34635449268724)*a^(2) - (63180809812497)/(8658862317181)*a - (1657990342024)/(8658862317181) , (2917895141658)/(8658862317181)*a^(17) - (6606108243057)/(17317724634362)*a^(16) - (101075935314527)/(17317724634362)*a^(15) + (237690972602751)/(17317724634362)*a^(14) + (445652025892857)/(17317724634362)*a^(13) - (1913074954981337)/(17317724634362)*a^(12) + (470017324272189)/(17317724634362)*a^(11) + (5408022397840569)/(17317724634362)*a^(10) - (6750208323931985)/(17317724634362)*a^(9) - (2727092803686987)/(17317724634362)*a^(8) + (10021176654021279)/(17317724634362)*a^(7) - (3498253514342791)/(17317724634362)*a^(6) - (4960896666054327)/(17317724634362)*a^(5) + (1796165845646133)/(8658862317181)*a^(4) + (266724875796228)/(8658862317181)*a^(3) - (459037114726314)/(8658862317181)*a^(2) + (123127254005223)/(17317724634362)*a + (17472139903775)/(8658862317181) , (257937129231)/(137989837724)*a^(17) - (455640568511)/(137989837724)*a^(16) - (4412526460883)/(137989837724)*a^(15) + (13351096781193)/(137989837724)*a^(14) + (15394863759301)/(137989837724)*a^(13) - (99965326661965)/(137989837724)*a^(12) + (59817543660919)/(137989837724)*a^(11) + (256624164982815)/(137989837724)*a^(10) - (421133488895083)/(137989837724)*a^(9) - (48550882790839)/(137989837724)*a^(8) + (551872946305931)/(137989837724)*a^(7) - (269786026635407)/(137989837724)*a^(6) - (127878439215745)/(68994918862)*a^(5) + (106933106761661)/(68994918862)*a^(4) + (9822723017154)/(34497459431)*a^(3) - (50617715374057)/(137989837724)*a^(2) - (502754529129)/(68994918862)*a + (467249245422)/(34497459431) , (257937129231)/(137989837724)*a^(17) - (455640568511)/(137989837724)*a^(16) - (4412526460883)/(137989837724)*a^(15) + (13351096781193)/(137989837724)*a^(14) + (15394863759301)/(137989837724)*a^(13) - (99965326661965)/(137989837724)*a^(12) + (59817543660919)/(137989837724)*a^(11) + (256624164982815)/(137989837724)*a^(10) - (421133488895083)/(137989837724)*a^(9) - (48550882790839)/(137989837724)*a^(8) + (551872946305931)/(137989837724)*a^(7) - (269786026635407)/(137989837724)*a^(6) - (127878439215745)/(68994918862)*a^(5) + (106933106761661)/(68994918862)*a^(4) + (9822723017154)/(34497459431)*a^(3) - (50617715374057)/(137989837724)*a^(2) - (502754529129)/(68994918862)*a + (432751785991)/(34497459431) , (3402996414391)/(17317724634362)*a^(17) - (2071615755692)/(8658862317181)*a^(16) - (30088354552281)/(8658862317181)*a^(15) + (71661531779807)/(8658862317181)*a^(14) + (138271388450022)/(8658862317181)*a^(13) - (582540928194710)/(8658862317181)*a^(12) + (90931224811646)/(8658862317181)*a^(11) + (1729242622001236)/(8658862317181)*a^(10) - (1873389133341206)/(8658862317181)*a^(9) - (1311396603509006)/(8658862317181)*a^(8) + (3000718896860636)/(8658862317181)*a^(7) - (150766262775883)/(8658862317181)*a^(6) - (3963234601439957)/(17317724634362)*a^(5) + (432479908896727)/(8658862317181)*a^(4) + (702660923075512)/(8658862317181)*a^(3) - (185431943207661)/(17317724634362)*a^(2) - (264928221884037)/(17317724634362)*a - (15624378304886)/(8658862317181) , a - 1 , (21030313140629)/(8658862317181)*a^(17) - (33238650172871)/(8658862317181)*a^(16) - (363590630328810)/(8658862317181)*a^(15) + (1021469989846794)/(8658862317181)*a^(14) + (1401090832180144)/(8658862317181)*a^(13) - (7849552600171521)/(8658862317181)*a^(12) + (3719110477751550)/(8658862317181)*a^(11) + (21097744990986939)/(8658862317181)*a^(10) - (31204774390752727)/(8658862317181)*a^(9) - (7459136134785142)/(8658862317181)*a^(8) + (43645690851097046)/(8658862317181)*a^(7) - (17977375979551588)/(8658862317181)*a^(6) - (21687382257664850)/(8658862317181)*a^(5) + (16003068291163410)/(8658862317181)*a^(4) + (3491453860010985)/(8658862317181)*a^(3) - (3920023473967607)/(8658862317181)*a^(2) + (15832476774936)/(8658862317181)*a + (141829236789269)/(8658862317181) , (114377138689)/(137989837724)*a^(17) - (193374012367)/(137989837724)*a^(16) - (1974874994191)/(137989837724)*a^(15) + (5771771602589)/(137989837724)*a^(14) + (7332549279541)/(137989837724)*a^(13) - (43857339525209)/(137989837724)*a^(12) + (22759481168587)/(137989837724)*a^(11) + (116370321588023)/(137989837724)*a^(10) - (176826002746291)/(137989837724)*a^(9) - (38139828622459)/(137989837724)*a^(8) + (241301328419843)/(137989837724)*a^(7) - (96159424880143)/(137989837724)*a^(6) - (30302226996828)/(34497459431)*a^(5) + (40027712790069)/(68994918862)*a^(4) + (6232044439684)/(34497459431)*a^(3) - (17361469267375)/(137989837724)*a^(2) - (617309931452)/(34497459431)*a - (8378244175)/(34497459431) , (23225839694739)/(34635449268724)*a^(17) - (27594800357043)/(34635449268724)*a^(16) - (406968024630927)/(34635449268724)*a^(15) + (968734815325401)/(34635449268724)*a^(14) + (1830138710612073)/(34635449268724)*a^(13) - (7842920765782477)/(34635449268724)*a^(12) + (1640921122820655)/(34635449268724)*a^(11) + (22753182681142863)/(34635449268724)*a^(10) - (26833405247659035)/(34635449268724)*a^(9) - (14130620489206011)/(34635449268724)*a^(8) + (41777247928252851)/(34635449268724)*a^(7) - (10225633209511579)/(34635449268724)*a^(6) - (11574388842467433)/(17317724634362)*a^(5) + (6185197058855787)/(17317724634362)*a^(4) + (1083709041466830)/(8658862317181)*a^(3) - (3111265679716533)/(34635449268724)*a^(2) + (14083359014591)/(17317724634362)*a + (15814149561751)/(8658862317181) , (96255494994069)/(34635449268724)*a^(17) - (147737046971945)/(34635449268724)*a^(16) - (1666434359677045)/(34635449268724)*a^(15) + (4589671761191051)/(34635449268724)*a^(14) + (6548924746901307)/(34635449268724)*a^(13) - (35375181983243007)/(34635449268724)*a^(12) + (15590044644391865)/(34635449268724)*a^(11) + (95540893783652425)/(34635449268724)*a^(10) - (136922993624400957)/(34635449268724)*a^(9) - (36801210768569965)/(34635449268724)*a^(8) + (190323313427328393)/(34635449268724)*a^(7) - (71332763680820349)/(34635449268724)*a^(6) - (48022030892021461)/(17317724634362)*a^(5) + (31563809813605523)/(17317724634362)*a^(4) + (4564442972073787)/(8658862317181)*a^(3) - (15048744475638107)/(34635449268724)*a^(2) - (477812182166015)/(17317724634362)*a + (136200925860052)/(8658862317181) , (76873734900559)/(34635449268724)*a^(17) - (132629308473655)/(34635449268724)*a^(16) - (1317735491063491)/(34635449268724)*a^(15) + (3924628824365877)/(34635449268724)*a^(14) + (4698733756189341)/(34635449268724)*a^(13) - (29539409022855505)/(34635449268724)*a^(12) + (16928769217740843)/(34635449268724)*a^(11) + (76540786202700247)/(34635449268724)*a^(10) - (123017117412132343)/(34635449268724)*a^(9) - (17109900158238879)/(34635449268724)*a^(8) + (163255755773240535)/(34635449268724)*a^(7) - (77085632368068855)/(34635449268724)*a^(6) - (38480910788011371)/(17317724634362)*a^(5) + (31185720545361759)/(17317724634362)*a^(4) + (3065297276030392)/(8658862317181)*a^(3) - (14868341281564061)/(34635449268724)*a^(2) - (180958375759481)/(17317724634362)*a + (130891546258486)/(8658862317181) , (11609983996127)/(34635449268724)*a^(17) - (10577264770881)/(34635449268724)*a^(16) - (212710033449913)/(34635449268724)*a^(15) + (428897891976055)/(34635449268724)*a^(14) + (1141843252869335)/(34635449268724)*a^(13) - (3797773385745755)/(34635449268724)*a^(12) - (763342304540959)/(34635449268724)*a^(11) + (12801972799945249)/(34635449268724)*a^(10) - (9713031088325325)/(34635449268724)*a^(9) - (14460146275244801)/(34635449268724)*a^(8) + (21233013760039761)/(34635449268724)*a^(7) + (3428638178285291)/(34635449268724)*a^(6) - (4078259356382162)/(8658862317181)*a^(5) + (1359230541402143)/(17317724634362)*a^(4) + (1254951619429470)/(8658862317181)*a^(3) - (1084996859916257)/(34635449268724)*a^(2) - (84977736547046)/(8658862317181)*a + (12679104558015)/(8658862317181) , (117151143150699)/(34635449268724)*a^(17) - (204688900760399)/(34635449268724)*a^(16) - (2018205029952115)/(34635449268724)*a^(15) + (6037694448585709)/(34635449268724)*a^(14) + (7275354577466097)/(34635449268724)*a^(13) - (45690401399340201)/(34635449268724)*a^(12) + (25684223954972339)/(34635449268724)*a^(11) + (120191434898367863)/(34635449268724)*a^(10) - (190643857870870311)/(34635449268724)*a^(9) - (32914070895764579)/(34635449268724)*a^(8) + (261925566676011823)/(34635449268724)*a^(7) - (119131114095208315)/(34635449268724)*a^(6) - (64284438627523157)/(17317724634362)*a^(5) + (50976895952882945)/(17317724634362)*a^(4) + (5202977036396075)/(8658862317181)*a^(3) - (24985685741995769)/(34635449268724)*a^(2) - (170386829718643)/(17317724634362)*a + (219554470628072)/(8658862317181) ], 1082702.99382, [[x^3 - 3*x - 1, 1], [x^3 - 21*x - 35, 1], [x^3 - 21*x - 28, 1], [x^3 - x^2 - 2*x + 1, 1], [x^9 - 15*x^7 - 4*x^6 + 54*x^5 + 12*x^4 - 38*x^3 - 9*x^2 + 6*x + 1, 1]]]