/* 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 - x^13 - 10*x^12 + 5*x^11 + 77*x^10 - 56*x^9 - 309*x^8 + 293*x^7 + 550*x^6 - 549*x^5 - 389*x^4 + 352*x^3 + 60*x^2 - 36*x - 4, 14, 51, [10, 2], 13025427850756358144, [2, 29, 809], [1, a, a^2, a^3, a^4, 1/2*a^5 - 1/2*a^2, 1/2*a^6 - 1/2*a^3, 1/2*a^7 - 1/2*a^4, 1/4*a^8 - 1/2*a^3 - 1/4*a^2 - 1/2, 1/4*a^9 - 1/2*a^4 - 1/4*a^3 - 1/2*a, 1/4*a^10 - 1/4*a^4, 1/8*a^11 - 1/8*a^10 - 1/4*a^7 + 1/8*a^5 - 1/8*a^4 - 1/2*a^3 + 1/4*a^2 - 1/2*a, 1/8*a^12 - 1/8*a^10 - 1/4*a^7 + 1/8*a^6 + 3/8*a^4 + 1/4*a^3 - 1/2*a^2 - 1/2*a - 1/2, 1/2167736*a^13 + 16433/2167736*a^12 - 94187/2167736*a^11 - 105649/2167736*a^10 - 37505/541934*a^9 - 85485/1083868*a^8 - 335433/2167736*a^7 - 494915/2167736*a^6 - 358055/2167736*a^5 - 1040915/2167736*a^4 - 531845/1083868*a^3 - 14501/541934*a^2 - 64713/270967*a + 104057/541934], 0, 1, [], 0, [ (144149)/(1083868)*a^(13) + (7003)/(1083868)*a^(12) - (311049)/(270967)*a^(11) - (290667)/(541934)*a^(10) + (2193075)/(270967)*a^(9) + (94497)/(270967)*a^(8) - (31870275)/(1083868)*a^(7) + (9528105)/(1083868)*a^(6) + (21261925)/(541934)*a^(5) - (5749037)/(270967)*a^(4) - (1606116)/(270967)*a^(3) + (7185687)/(541934)*a^(2) - (2989227)/(270967)*a + (876142)/(270967) , (10376)/(270967)*a^(13) + (11293)/(1083868)*a^(12) - (438273)/(1083868)*a^(11) - (339069)/(1083868)*a^(10) + (1550625)/(541934)*a^(9) + (885359)/(541934)*a^(8) - (6537561)/(541934)*a^(7) - (4634197)/(1083868)*a^(6) + (25941293)/(1083868)*a^(5) + (10868099)/(1083868)*a^(4) - (9123037)/(541934)*a^(3) - (7379703)/(541934)*a^(2) - (317863)/(270967)*a + (922583)/(270967) , (5197)/(541934)*a^(13) - (80183)/(2167736)*a^(12) - (123437)/(541934)*a^(11) + (498057)/(2167736)*a^(10) + (1001987)/(541934)*a^(9) - (1415429)/(1083868)*a^(8) - (10796893)/(1083868)*a^(7) + (13601353)/(2167736)*a^(6) + (14279805)/(541934)*a^(5) - (26484067)/(2167736)*a^(4) - (26824059)/(1083868)*a^(3) + (7595075)/(1083868)*a^(2) + (1007523)/(541934)*a - (131806)/(270967) , (11439)/(541934)*a^(13) + (516857)/(2167736)*a^(12) - (40301)/(541934)*a^(11) - (4630803)/(2167736)*a^(10) - (157868)/(270967)*a^(9) + (3850526)/(270967)*a^(8) + (2729903)/(1083868)*a^(7) - (110902119)/(2167736)*a^(6) - (1146338)/(270967)*a^(5) + (164781753)/(2167736)*a^(4) + (6136757)/(1083868)*a^(3) - (9303148)/(270967)*a^(2) + (509663)/(541934)*a + (70935)/(541934) , (57081)/(1083868)*a^(13) + (97643)/(541934)*a^(12) - (302867)/(1083868)*a^(11) - (902893)/(541934)*a^(10) + (1162349)/(1083868)*a^(9) + (10576615)/(1083868)*a^(8) - (1406721)/(1083868)*a^(7) - (17089219)/(541934)*a^(6) - (10477259)/(1083868)*a^(5) + (11471050)/(270967)*a^(4) + (28080269)/(1083868)*a^(3) - (14612769)/(1083868)*a^(2) - (7016611)/(541934)*a - (1192881)/(541934) , (408715)/(2167736)*a^(13) + (124125)/(541934)*a^(12) - (3693487)/(2167736)*a^(11) - (2902045)/(1083868)*a^(10) + (12229679)/(1083868)*a^(9) + (15741225)/(1083868)*a^(8) - (99376933)/(2167736)*a^(7) - (20698981)/(541934)*a^(6) + (185123661)/(2167736)*a^(5) + (21911935)/(541934)*a^(4) - (63456449)/(1083868)*a^(3) - (4521463)/(541934)*a^(2) + (2353778)/(270967)*a + (286602)/(270967) , (125413)/(1083868)*a^(13) + (103897)/(541934)*a^(12) - (1916369)/(2167736)*a^(11) - (4633781)/(2167736)*a^(10) + (1456423)/(270967)*a^(9) + (3191129)/(270967)*a^(8) - (9906335)/(541934)*a^(7) - (20182045)/(541934)*a^(6) + (48302143)/(2167736)*a^(5) + (123371243)/(2167736)*a^(4) - (1749935)/(541934)*a^(3) - (31778709)/(1083868)*a^(2) + (337493)/(541934)*a + (600788)/(270967) , (98781)/(1083868)*a^(13) - (23781)/(270967)*a^(12) - (1823039)/(2167736)*a^(11) + (631239)/(2167736)*a^(10) + (6833785)/(1083868)*a^(9) - (1158450)/(270967)*a^(8) - (6169619)/(270967)*a^(7) + (5403963)/(270967)*a^(6) + (68053893)/(2167736)*a^(5) - (58521825)/(2167736)*a^(4) - (12765683)/(1083868)*a^(3) + (12910507)/(1083868)*a^(2) - (64712)/(270967)*a - (278628)/(270967) , (7533)/(1083868)*a^(13) + (228837)/(1083868)*a^(12) + (32837)/(2167736)*a^(11) - (4112181)/(2167736)*a^(10) - (626069)/(541934)*a^(9) + (14079425)/(1083868)*a^(8) + (1206973)/(270967)*a^(7) - (52256373)/(1083868)*a^(6) - (16032647)/(2167736)*a^(5) + (162369935)/(2167736)*a^(4) + (6090951)/(541934)*a^(3) - (20395189)/(541934)*a^(2) - (3034221)/(541934)*a + (720601)/(541934) , (92329)/(1083868)*a^(13) - (74519)/(2167736)*a^(12) - (1450019)/(2167736)*a^(11) - (196455)/(1083868)*a^(10) + (5242899)/(1083868)*a^(9) - (559723)/(541934)*a^(8) - (16007245)/(1083868)*a^(7) + (9593733)/(2167736)*a^(6) + (26679345)/(2167736)*a^(5) + (11315139)/(1083868)*a^(4) - (1161133)/(541934)*a^(3) - (25801393)/(1083868)*a^(2) + (4891465)/(541934)*a + (958503)/(541934) , (32150)/(270967)*a^(13) + (12167)/(1083868)*a^(12) - (2343369)/(2167736)*a^(11) - (1164941)/(2167736)*a^(10) + (4203705)/(541934)*a^(9) + (573091)/(541934)*a^(8) - (32608275)/(1083868)*a^(7) + (5434135)/(1083868)*a^(6) + (109924123)/(2167736)*a^(5) - (31516129)/(2167736)*a^(4) - (17557451)/(541934)*a^(3) + (9890955)/(1083868)*a^(2) + (2367453)/(541934)*a + (295872)/(270967) ], 134389.922333, [[x^7 - 8*x^5 - 2*x^4 + 15*x^3 + 4*x^2 - 6*x - 2, 1]]]