/* 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^16 - 8*x^15 + 24*x^14 - 28*x^13 + 14*x^12 - 84*x^11 + 232*x^10 - 104*x^9 - 207*x^8 - 44*x^7 + 324*x^6 + 288*x^5 - 696*x^4 + 292*x^3 - 424*x^2 + 420*x + 1513, 16, 39, [0, 8], 101415451701035401216, [2, 7], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, 1/35*a^12 - 6/35*a^11 - 6/35*a^10 + 3/7*a^9 + 11/35*a^8 + 2/7*a^7 - 17/35*a^6 - 16/35*a^5 - 17/35*a^4 - 2/5*a^3 + 13/35*a^2 - 9/35*a + 2/35, 1/35*a^13 - 1/5*a^11 + 2/5*a^10 - 4/35*a^9 + 6/35*a^8 + 8/35*a^7 - 13/35*a^6 - 8/35*a^5 - 11/35*a^4 - 1/35*a^3 - 1/35*a^2 - 17/35*a + 12/35, 1/77683795*a^14 - 1/11097685*a^13 + 683392/77683795*a^12 - 4100261/77683795*a^11 + 24981564/77683795*a^10 - 9638466/77683795*a^9 - 3937972/15536759*a^8 + 13803856/77683795*a^7 + 1186120/15536759*a^6 - 2245832/4569635*a^5 + 8693808/77683795*a^4 + 4046508/15536759*a^3 + 36682612/77683795*a^2 + 7656632/15536759*a - 2006723/4569635, 1/801152977835*a^15 + 5149/801152977835*a^14 - 7095212489/801152977835*a^13 - 7582655183/801152977835*a^12 + 35269472918/160230595567*a^11 - 34054343709/801152977835*a^10 + 3343769173/9425329151*a^9 - 19529535941/114450425405*a^8 + 213581886519/801152977835*a^7 + 317037830416/801152977835*a^6 - 163580778/160230595567*a^5 - 1965184874/22890085081*a^4 + 353343319512/801152977835*a^3 + 164661264004/801152977835*a^2 - 246682274477/801152977835*a + 415087759/47126645755], 0, 2, [2], 0, [ (1076413623)/(801152977835)*a^(15) - (797884128)/(114450425405)*a^(14) + (1080069570)/(160230595567)*a^(13) + (21655154583)/(801152977835)*a^(12) - (5092530411)/(114450425405)*a^(11) - (38406754798)/(801152977835)*a^(10) + (6671883949)/(801152977835)*a^(9) + (315846104083)/(801152977835)*a^(8) - (301866883023)/(801152977835)*a^(7) - (202518066731)/(801152977835)*a^(6) - (38614511479)/(801152977835)*a^(5) + (558359359954)/(801152977835)*a^(4) - (203985801582)/(801152977835)*a^(3) - (531603809216)/(801152977835)*a^(2) - (81436293125)/(160230595567)*a - (17389115869)/(9425329151) , (565187821)/(801152977835)*a^(15) - (3451289378)/(801152977835)*a^(14) + (7579222747)/(801152977835)*a^(13) - (5557449004)/(801152977835)*a^(12) + (1730800006)/(160230595567)*a^(11) - (47299976022)/(801152977835)*a^(10) + (80619524509)/(801152977835)*a^(9) - (36773979657)/(801152977835)*a^(8) + (31014121438)/(801152977835)*a^(7) - (178881470921)/(801152977835)*a^(6) + (252960726959)/(801152977835)*a^(5) - (54403276239)/(801152977835)*a^(4) + (5820216823)/(801152977835)*a^(3) - (454107058523)/(801152977835)*a^(2) - (340189395428)/(801152977835)*a - (276426811)/(1346475593) , (4912738)/(47126645755)*a^(15) - (9557337)/(47126645755)*a^(14) - (7033748)/(9425329151)*a^(13) + (68290111)/(47126645755)*a^(12) + (95585688)/(47126645755)*a^(11) + (90549561)/(9425329151)*a^(10) - (2328590792)/(47126645755)*a^(9) + (906876601)/(47126645755)*a^(8) + (640775306)/(9425329151)*a^(7) + (545198679)/(9425329151)*a^(6) - (10578299024)/(47126645755)*a^(5) - (3208453062)/(47126645755)*a^(4) + (2953622786)/(9425329151)*a^(3) - (17438826876)/(47126645755)*a^(2) - (7643459946)/(47126645755)*a + (36453450717)/(47126645755) , (149619726)/(114450425405)*a^(15) - (5985319654)/(801152977835)*a^(14) + (1602805111)/(114450425405)*a^(13) - (3039161116)/(801152977835)*a^(12) + (9475818851)/(801152977835)*a^(11) - (78773780346)/(801152977835)*a^(10) + (95299237188)/(801152977835)*a^(9) + (30558669696)/(801152977835)*a^(8) + (1800625047)/(114450425405)*a^(7) - (29454992792)/(114450425405)*a^(6) + (84372628766)/(801152977835)*a^(5) - (12270720)/(1346475593)*a^(4) - (238146494223)/(801152977835)*a^(3) + (2608393493)/(160230595567)*a^(2) - (1029994575742)/(801152977835)*a - (229319988)/(343990115) , (55776741)/(114450425405)*a^(15) + (318011142)/(801152977835)*a^(14) - (2259114756)/(160230595567)*a^(13) + (31842600774)/(801152977835)*a^(12) - (16612230063)/(801152977835)*a^(11) + (1521631422)/(160230595567)*a^(10) - (194298918953)/(801152977835)*a^(9) + (343757800359)/(801152977835)*a^(8) + (9527735381)/(160230595567)*a^(7) - (26163027046)/(160230595567)*a^(6) - (756537400156)/(801152977835)*a^(5) + (511266173742)/(801152977835)*a^(4) + (21166396786)/(22890085081)*a^(3) - (97421277702)/(114450425405)*a^(2) - (875951949924)/(801152977835)*a - (63757964441)/(47126645755) , (21537444)/(801152977835)*a^(15) + (55942175)/(160230595567)*a^(14) - (150670711)/(47126645755)*a^(13) + (105682254)/(9425329151)*a^(12) - (2781107941)/(114450425405)*a^(11) + (31772242099)/(801152977835)*a^(10) - (30919354847)/(801152977835)*a^(9) + (13440970203)/(801152977835)*a^(8) - (62201312254)/(801152977835)*a^(7) + (35282417666)/(160230595567)*a^(6) - (61374527461)/(801152977835)*a^(5) - (188414064918)/(801152977835)*a^(4) + (19517466576)/(160230595567)*a^(3) - (24366462426)/(801152977835)*a^(2) - (17937824179)/(114450425405)*a - (3371541044)/(9425329151) , (1556820358)/(801152977835)*a^(15) - (2335230537)/(160230595567)*a^(14) + (32526648751)/(801152977835)*a^(13) - (34334901159)/(801152977835)*a^(12) + (666490837)/(22890085081)*a^(11) - (140209867963)/(801152977835)*a^(10) + (341999997461)/(801152977835)*a^(9) - (219106930998)/(801152977835)*a^(8) - (2341285133)/(801152977835)*a^(7) - (364190624722)/(801152977835)*a^(6) + (777615458072)/(801152977835)*a^(5) - (524846539733)/(801152977835)*a^(4) + (15940964)/(6732377965)*a^(3) + (178396039636)/(801152977835)*a^(2) - (289572596926)/(160230595567)*a + (40801475551)/(47126645755) ], 5814.60059283, [[x^2 + 1, 1], [x^2 - 2, 1], [x^2 + 2, 1], [x^4 - 14*x^2 + 98, 2], [x^4 - 6*x^2 + 7, 1], [x^4 - 14*x^2 - 49, 2], [x^4 + 6*x^2 + 7, 1], [x^4 - 2*x^2 - 4*x - 2, 1], [x^4 - 2*x^3 + x^2 - 2*x + 1, 1], [x^4 + 1, 1], [x^8 - 4*x^7 + 8*x^6 - 8*x^5 + 7*x^4 - 8*x^3 + 8*x^2 - 4*x + 1, 1], [x^8 - 4*x^7 - 4*x^6 + 12*x^5 - 20*x^4 - 36*x^3 + 12*x^2 + 4*x + 1, 1], [x^8 - 4*x^7 + 16*x^6 - 20*x^5 + 28*x^4 - 60*x^3 + 32*x^2 - 28*x + 49, 1], [x^8 - 10*x^6 + 25*x^4 - 42*x^2 + 49, 1], [x^8 + 10*x^6 + 25*x^4 + 42*x^2 + 49, 1], [x^8 - 4*x^7 - 4*x^6 + 12*x^5 + 88*x^4 - 84*x^3 - 420*x^2 + 124*x + 961, 1], [x^8 - 4*x^7 + 12*x^6 - 12*x^5 - 8*x^4 + 12*x^3 + 12*x^2 + 4*x + 1, 1]]]