/* 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^13 - 6*x^12 + 9*x^11 - 4*x^10 + 107*x^9 - 72*x^8 - 26*x^7 - 390*x^6 + 213*x^5 + 237*x^4 - 462*x^3 - 766*x^2 - 459*x - 103, 13, 2, [1, 6], 13356995431497099192721, [4871], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, 1/1397*a^11 + 667/1397*a^10 - 31/1397*a^9 + 282/1397*a^8 - 152/1397*a^7 + 5/1397*a^6 + 195/1397*a^5 - 149/1397*a^4 + 53/127*a^3 - 36/127*a^2 - 33/127*a - 546/1397, 1/12369139803581*a^12 + 2564330537/12369139803581*a^11 + 5201992524455/12369139803581*a^10 - 275240525965/12369139803581*a^9 - 2841663694407/12369139803581*a^8 - 500956027509/1124467254871*a^7 - 3395652241266/12369139803581*a^6 - 679956573938/12369139803581*a^5 + 155018232945/12369139803581*a^4 + 342568186342/1124467254871*a^3 + 153708804682/1124467254871*a^2 - 5562406334305/12369139803581*a + 837385437923/12369139803581], 0, 1, [], 1, [ (5641338826)/(12369139803581)*a^(12) - (18194349304)/(12369139803581)*a^(11) - (72451159989)/(12369139803581)*a^(10) + (325348272380)/(12369139803581)*a^(9) + (66081559017)/(12369139803581)*a^(8) + (1844387833712)/(12369139803581)*a^(7) - (4816479143536)/(12369139803581)*a^(6) + (3178321072767)/(12369139803581)*a^(5) - (9332861462429)/(12369139803581)*a^(4) + (1536052064249)/(1124467254871)*a^(3) - (1799244826335)/(1124467254871)*a^(2) - (3718893431278)/(12369139803581)*a + (4085984715376)/(12369139803581) , (34381162)/(1114437319)*a^(12) - (2544470837)/(12258810509)*a^(11) + (5081735577)/(12258810509)*a^(10) - (4038252991)/(12258810509)*a^(9) + (41115920203)/(12258810509)*a^(8) - (55854859888)/(12258810509)*a^(7) + (13891396022)/(12258810509)*a^(6) - (135011718535)/(12258810509)*a^(5) + (178976394188)/(12258810509)*a^(4) + (509475868)/(1114437319)*a^(3) - (22887321540)/(1114437319)*a^(2) - (9157292635)/(1114437319)*a + (1365481903)/(12258810509) , (42509190553)/(12369139803581)*a^(12) - (17341639545)/(1124467254871)*a^(11) + (42730722283)/(12369139803581)*a^(10) + (70139862824)/(12369139803581)*a^(9) + (5002341132279)/(12369139803581)*a^(8) + (3485326302501)/(12369139803581)*a^(7) - (1207287355970)/(12369139803581)*a^(6) - (26544174569651)/(12369139803581)*a^(5) - (23457540132201)/(12369139803581)*a^(4) + (47625179777)/(1124467254871)*a^(3) + (1571545220213)/(1124467254871)*a^(2) + (13320516413499)/(12369139803581)*a + (3529914622963)/(12369139803581) , (2408214676404)/(12369139803581)*a^(12) - (13703719275087)/(12369139803581)*a^(11) + (15743405437867)/(12369139803581)*a^(10) + (6521349731767)/(12369139803581)*a^(9) + (237390256188500)/(12369139803581)*a^(8) - (81400900549193)/(12369139803581)*a^(7) - (276800417855333)/(12369139803581)*a^(6) - (771775289899032)/(12369139803581)*a^(5) + (207412578606196)/(12369139803581)*a^(4) + (115081590532688)/(1124467254871)*a^(3) - (141449404573769)/(1124467254871)*a^(2) - (2340967642083155)/(12369139803581)*a - (687011027086022)/(12369139803581) , (87624910742)/(12369139803581)*a^(12) - (56147235099)/(1124467254871)*a^(11) + (1329523270332)/(12369139803581)*a^(10) - (897500168002)/(12369139803581)*a^(9) + (7312180529955)/(12369139803581)*a^(8) - (7504617669889)/(12369139803581)*a^(7) - (7287120019737)/(12369139803581)*a^(6) - (20045692123763)/(12369139803581)*a^(5) - (5920140084486)/(12369139803581)*a^(4) + (2443500653802)/(1124467254871)*a^(3) + (3738364129202)/(1124467254871)*a^(2) + (17646006429064)/(12369139803581)*a + (4058041462318)/(12369139803581) , (21093431603)/(12369139803581)*a^(12) - (95977256746)/(12369139803581)*a^(11) - (190035579609)/(12369139803581)*a^(10) + (1477353150023)/(12369139803581)*a^(9) + (421578552080)/(12369139803581)*a^(8) - (2280224513898)/(12369139803581)*a^(7) - (8641816609091)/(12369139803581)*a^(6) + (7641568773464)/(12369139803581)*a^(5) + (1895306725244)/(1124467254871)*a^(4) - (2903346310789)/(1124467254871)*a^(3) - (143352755252)/(1124467254871)*a^(2) + (4710198339019)/(12369139803581)*a + (961264142955)/(1124467254871) ], 447354.100639, []]