/* 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^14 - 2*x^13 - 8*x^12 + 4*x^11 + 6*x^10 + 23*x^9 + 83*x^8 + 42*x^7 + 105*x^6 - 46*x^5 + 162*x^4 + 113*x^3 + 42*x^2 + 3*x + 2, 14, 51, [2, 6], 23410829236277007605, [5, 181, 257], [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^6 - 1/2*a^5 - 1/2*a^2 - 1/2*a, 1/2*a^11 - 1/2*a^8 - 1/2*a^7 - 1/2*a^6 - 1/2*a^3 - 1/2*a^2, 1/2*a^12 - 1/2*a^9 - 1/2*a^8 - 1/2*a^7 - 1/2*a^4 - 1/2*a^3, 1/103873886553326*a^13 - 12877817265428/51936943276663*a^12 - 5889591824858/51936943276663*a^11 + 6380991809305/103873886553326*a^10 + 13592262353767/103873886553326*a^9 + 12434123185463/103873886553326*a^8 + 9995439081481/51936943276663*a^7 - 23114674406163/51936943276663*a^6 - 9856486853083/103873886553326*a^5 - 703757909733/103873886553326*a^4 + 20297878707225/51936943276663*a^3 + 16953401367243/51936943276663*a^2 + 2858469601728/51936943276663*a + 19835646932265/51936943276663], 0, 1, [], 0, [ (3387969991483)/(103873886553326)*a^(13) - (1281624428168)/(51936943276663)*a^(12) - (18572390383496)/(51936943276663)*a^(11) - (7669617558949)/(51936943276663)*a^(10) + (47057105739431)/(103873886553326)*a^(9) + (83631655393783)/(103873886553326)*a^(8) + (373500919634525)/(103873886553326)*a^(7) + (466332917849397)/(103873886553326)*a^(6) + (221352483812231)/(51936943276663)*a^(5) + (359646028051435)/(103873886553326)*a^(4) + (135302036889886)/(51936943276663)*a^(3) + (1292259347329265)/(103873886553326)*a^(2) + (213688668287711)/(103873886553326)*a + (44285303062620)/(51936943276663) , (5488612984285)/(103873886553326)*a^(13) - (6194743012730)/(51936943276663)*a^(12) - (41066520166627)/(103873886553326)*a^(11) + (16836627201310)/(51936943276663)*a^(10) + (26072204605223)/(103873886553326)*a^(9) + (56618714490124)/(51936943276663)*a^(8) + (214809963699384)/(51936943276663)*a^(7) + (63617430763687)/(51936943276663)*a^(6) + (254304478269413)/(51936943276663)*a^(5) - (398715491764721)/(103873886553326)*a^(4) + (978219155124203)/(103873886553326)*a^(3) + (214365444058505)/(51936943276663)*a^(2) + (10090027981531)/(103873886553326)*a + (26830232550054)/(51936943276663) , (215109923311)/(51936943276663)*a^(13) + (1965622687373)/(51936943276663)*a^(12) - (16013745691663)/(103873886553326)*a^(11) - (15458056407582)/(51936943276663)*a^(10) + (23141003043668)/(51936943276663)*a^(9) + (29060490572509)/(103873886553326)*a^(8) + (126903509558109)/(103873886553326)*a^(7) + (341287885516307)/(103873886553326)*a^(6) - (6960094382279)/(51936943276663)*a^(5) + (168104475532112)/(51936943276663)*a^(4) - (463610390894159)/(103873886553326)*a^(3) + (991726004908215)/(103873886553326)*a^(2) + (101491641502661)/(51936943276663)*a - (1522960884987)/(51936943276663) , (4681269551437)/(103873886553326)*a^(13) - (5435593671034)/(51936943276663)*a^(12) - (17178272743124)/(51936943276663)*a^(11) + (31499641362823)/(103873886553326)*a^(10) + (18049787236121)/(103873886553326)*a^(9) + (97380430243113)/(103873886553326)*a^(8) + (182746417387438)/(51936943276663)*a^(7) + (30628048631068)/(51936943276663)*a^(6) + (458687471464903)/(103873886553326)*a^(5) - (338225463046239)/(103873886553326)*a^(4) + (397670466913873)/(51936943276663)*a^(3) + (173340727481023)/(51936943276663)*a^(2) + (4095753800804)/(51936943276663)*a + (39913261360125)/(51936943276663) , (13063478106178)/(51936943276663)*a^(13) - (29543764292621)/(51936943276663)*a^(12) - (98624006556395)/(51936943276663)*a^(11) + (163016845505885)/(103873886553326)*a^(10) + (72506289032038)/(51936943276663)*a^(9) + (275773126737125)/(51936943276663)*a^(8) + (1995186053741223)/(103873886553326)*a^(7) + (485488513072759)/(103873886553326)*a^(6) + (2306779586145339)/(103873886553326)*a^(5) - (992111820874255)/(51936943276663)*a^(4) + (2189150353795387)/(51936943276663)*a^(3) + (1927570025096263)/(103873886553326)*a^(2) + (43421695958269)/(103873886553326)*a - (189926790522350)/(51936943276663) , (7831702158913)/(103873886553326)*a^(13) - (17270619606313)/(103873886553326)*a^(12) - (60822234279311)/(103873886553326)*a^(11) + (46336150987531)/(103873886553326)*a^(10) + (26972604014770)/(51936943276663)*a^(9) + (166287902985029)/(103873886553326)*a^(8) + (297925171619874)/(51936943276663)*a^(7) + (181902020470467)/(103873886553326)*a^(6) + (616510057012015)/(103873886553326)*a^(5) - (331366914371093)/(51936943276663)*a^(4) + (650214205391491)/(51936943276663)*a^(3) + (580392871496949)/(103873886553326)*a^(2) + (6025039364659)/(51936943276663)*a + (7038406054115)/(51936943276663) , (922927998797)/(103873886553326)*a^(13) - (714139656921)/(103873886553326)*a^(12) - (4562517875066)/(51936943276663)*a^(11) - (2422620925445)/(51936943276663)*a^(10) + (1819650757512)/(51936943276663)*a^(9) + (7422570713652)/(51936943276663)*a^(8) + (53410236767403)/(51936943276663)*a^(7) + (164862202637701)/(103873886553326)*a^(6) + (114100163347013)/(51936943276663)*a^(5) + (124129020058047)/(51936943276663)*a^(4) + (306481970402933)/(103873886553326)*a^(3) + (349979650567319)/(103873886553326)*a^(2) + (140040113351883)/(103873886553326)*a + (15752292983746)/(51936943276663) ], 39247.4267217, [[x^7 - 12*x^5 - 6*x^4 + 32*x^3 + 13*x^2 - 26*x - 4, 1]]]