/* 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 + x^12 + 7*x^11 + 9*x^10 - 5*x^9 + 21*x^8 + 63*x^7 + 32*x^6 + 74*x^5 + 188*x^4 + 70*x^3 - 230*x^2 - 144*x - 22, 14, 10, [2, 6], 4156382630830772224, [2, 317], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, 1/2*a^9 - 1/2*a^7, 1/4*a^10 - 1/4*a^9 - 1/4*a^8 + 1/4*a^7 - 1/2*a^6 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2 - 1/2, 1/8*a^11 - 1/4*a^9 - 1/8*a^7 - 1/2*a^6 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/4*a^2 + 1/4*a + 1/4, 1/16*a^12 - 1/16*a^11 - 1/8*a^10 + 1/8*a^9 - 1/16*a^8 + 5/16*a^7 - 1/2*a^6 - 1/2*a^5 - 1/2*a^4 + 1/8*a^3 + 1/4*a^2 - 1/8, 1/42045951392*a^13 + 280105071/10511487848*a^12 - 1674539243/42045951392*a^11 + 260012967/2627871962*a^10 - 8463272311/42045951392*a^9 - 1278847713/2627871962*a^8 - 7847461091/42045951392*a^7 - 136497702/1313935981*a^6 - 87970726/1313935981*a^5 + 5876552373/21022975696*a^4 + 507119023/21022975696*a^3 + 154263775/10511487848*a^2 + 9430707683/21022975696*a - 5858881825/21022975696], 0, 3, [3], 0, [ (2752083745)/(10511487848)*a^(13) - (7393569175)/(21022975696)*a^(12) + (8148949719)/(21022975696)*a^(11) + (17736143893)/(10511487848)*a^(10) + (9451697525)/(5255743924)*a^(9) - (40315100957)/(21022975696)*a^(8) + (129461775845)/(21022975696)*a^(7) + (37834793203)/(2627871962)*a^(6) + (9142920445)/(2627871962)*a^(5) + (95955329219)/(5255743924)*a^(4) + (450880387439)/(10511487848)*a^(3) + (10997789283)/(2627871962)*a^(2) - (161535884489)/(2627871962)*a - (186070006505)/(10511487848) , (3595714437)/(42045951392)*a^(13) - (1199553961)/(10511487848)*a^(12) + (5309226017)/(42045951392)*a^(11) + (2935016745)/(5255743924)*a^(10) + (24627767445)/(42045951392)*a^(9) - (3221663471)/(5255743924)*a^(8) + (86476635745)/(42045951392)*a^(7) + (12672009969)/(2627871962)*a^(6) + (2870142305)/(2627871962)*a^(5) + (128007779137)/(21022975696)*a^(4) + (307181690755)/(21022975696)*a^(3) + (23144475851)/(10511487848)*a^(2) - (423374889705)/(21022975696)*a - (116940427317)/(21022975696) , (14095761013)/(42045951392)*a^(13) - (9215908427)/(21022975696)*a^(12) + (19472875091)/(42045951392)*a^(11) + (23314273737)/(10511487848)*a^(10) + (97260960265)/(42045951392)*a^(9) - (51013117935)/(21022975696)*a^(8) + (327350567391)/(42045951392)*a^(7) + (49100513061)/(2627871962)*a^(6) + (12793321743)/(2627871962)*a^(5) + (480153597249)/(21022975696)*a^(4) + (1179345180569)/(21022975696)*a^(3) + (56910359389)/(10511487848)*a^(2) - (1678476603977)/(21022975696)*a - (504093113483)/(21022975696) , (4855273145)/(42045951392)*a^(13) - (1562176289)/(10511487848)*a^(12) + (6487974449)/(42045951392)*a^(11) + (2050773155)/(2627871962)*a^(10) + (33107685161)/(42045951392)*a^(9) - (2053779341)/(2627871962)*a^(8) + (112645864257)/(42045951392)*a^(7) + (17312475703)/(2627871962)*a^(6) + (4621668161)/(2627871962)*a^(5) + (175332271589)/(21022975696)*a^(4) + (414554009391)/(21022975696)*a^(3) + (26908358229)/(10511487848)*a^(2) - (558971975537)/(21022975696)*a - (174861901845)/(21022975696) , (5641681497)/(42045951392)*a^(13) - (3580481837)/(21022975696)*a^(12) + (7762310087)/(42045951392)*a^(11) + (9102437669)/(10511487848)*a^(10) + (42954504293)/(42045951392)*a^(9) - (20898878345)/(21022975696)*a^(8) + (129661407339)/(42045951392)*a^(7) + (19901816477)/(2627871962)*a^(6) + (6256233863)/(2627871962)*a^(5) + (191370007285)/(21022975696)*a^(4) + (472446762177)/(21022975696)*a^(3) + (44765176699)/(10511487848)*a^(2) - (691781319457)/(21022975696)*a - (208534339239)/(21022975696) , (2642061819)/(42045951392)*a^(13) - (1682568439)/(21022975696)*a^(12) + (3412798025)/(42045951392)*a^(11) + (4469535655)/(10511487848)*a^(10) + (18484154471)/(42045951392)*a^(9) - (10314340187)/(21022975696)*a^(8) + (62880316029)/(42045951392)*a^(7) + (4610679277)/(1313935981)*a^(6) + (1031199039)/(1313935981)*a^(5) + (91165740519)/(21022975696)*a^(4) + (218064354603)/(21022975696)*a^(3) + (5609135567)/(10511487848)*a^(2) - (320352891679)/(21022975696)*a - (97531250961)/(21022975696) , (4587258221)/(42045951392)*a^(13) - (1565397671)/(10511487848)*a^(12) + (7224672681)/(42045951392)*a^(11) + (896542364)/(1313935981)*a^(10) + (31922013349)/(42045951392)*a^(9) - (4133245769)/(5255743924)*a^(8) + (108340126401)/(42045951392)*a^(7) + (7689728308)/(1313935981)*a^(6) + (2135647802)/(1313935981)*a^(5) + (156229968945)/(21022975696)*a^(4) + (378088162779)/(21022975696)*a^(3) + (17917020363)/(10511487848)*a^(2) - (526186751481)/(21022975696)*a - (159721709381)/(21022975696) ], 5502.73317638, [[x^7 - 3*x^6 + 3*x^5 - x^4 - 5*x^3 + 5*x^2 + 3*x - 1, 1]]]