/* 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 - 4*x^13 - 4*x^12 + 32*x^11 - 44*x^10 + 76*x^9 + 222*x^8 - 1472*x^7 + 483*x^6 + 4460*x^5 - 2122*x^4 - 5110*x^3 + 564*x^2 + 2882*x - 1573, 14, 3, [2, 6], 7490222540601799313, [7, 71], [1, a, a^2, a^3, a^4, a^5, a^6, 1/2*a^7 - 1/2*a^3 - 1/2, 1/2*a^8 - 1/2*a^4 - 1/2*a, 1/2*a^9 - 1/2*a^5 - 1/2*a^2, 1/2*a^10 - 1/2*a^6 - 1/2*a^3, 1/2*a^11 - 1/2*a^4 - 1/2*a^3 - 1/2, 1/142*a^12 + 6/71*a^11 - 9/71*a^10 - 15/71*a^9 - 11/142*a^8 - 13/71*a^7 - 29/71*a^6 + 45/142*a^5 + 8/71*a^4 - 5/71*a^3 - 20/71*a^2 + 1/71*a + 16/71, 1/103056253007828616386*a^13 + 214549857177268675/103056253007828616386*a^12 + 12920841392352523505/103056253007828616386*a^11 - 7943724388688949411/103056253007828616386*a^10 - 552979833739471872/4684375136719482563*a^9 + 11997350057896964524/51528126503914308193*a^8 + 177483889730225421/103056253007828616386*a^7 - 7710994280801093160/51528126503914308193*a^6 - 18722545618869873930/51528126503914308193*a^5 - 9719910861316050321/51528126503914308193*a^4 - 30309764140778403005/103056253007828616386*a^3 - 13809648786982047445/103056253007828616386*a^2 + 17939323156338701153/103056253007828616386*a + 2163008170286822630/4684375136719482563], 0, 1, [], 0, [ (78277942685222407)/(103056253007828616386)*a^(13) - (119300636410623823)/(51528126503914308193)*a^(12) - (226727289404176551)/(51528126503914308193)*a^(11) + (1908610320210878289)/(103056253007828616386)*a^(10) - (213101379682879129)/(9368750273438965126)*a^(9) + (5199813238659179783)/(103056253007828616386)*a^(8) + (20520474320633235983)/(103056253007828616386)*a^(7) - (45889640210736424756)/(51528126503914308193)*a^(6) - (8520766987522098246)/(51528126503914308193)*a^(5) + (257431954153880786145)/(103056253007828616386)*a^(4) - (643191162625941696)/(51528126503914308193)*a^(3) - (97580976558661403540)/(51528126503914308193)*a^(2) - (150834516277242447973)/(103056253007828616386)*a + (8037998788481300335)/(9368750273438965126) , (1605973787768833)/(103056253007828616386)*a^(13) - (50422268227243315)/(103056253007828616386)*a^(12) + (123918392418173071)/(103056253007828616386)*a^(11) + (95648734319236896)/(51528126503914308193)*a^(10) - (42607124748858993)/(4684375136719482563)*a^(9) + (1011689245237958601)/(51528126503914308193)*a^(8) - (3419166159299873457)/(103056253007828616386)*a^(7) - (11191764566808277685)/(103056253007828616386)*a^(6) + (22194218588257995175)/(51528126503914308193)*a^(5) - (6825498745965900811)/(51528126503914308193)*a^(4) - (45199483152288235997)/(51528126503914308193)*a^(3) + (39526198132105926269)/(103056253007828616386)*a^(2) + (36288060472338252509)/(103056253007828616386)*a + (1729863037280888795)/(4684375136719482563) , (739927366893841)/(103056253007828616386)*a^(13) - (11338681751523333)/(103056253007828616386)*a^(12) - (30688406008717411)/(103056253007828616386)*a^(11) + (9949015420878339)/(51528126503914308193)*a^(10) + (37905185827832819)/(9368750273438965126)*a^(9) + (219014372578670452)/(51528126503914308193)*a^(8) - (930216646065563803)/(103056253007828616386)*a^(7) - (2379696107505225631)/(103056253007828616386)*a^(6) - (16046235473318552133)/(103056253007828616386)*a^(5) + (88505889257214491)/(51528126503914308193)*a^(4) + (52429491672049723833)/(51528126503914308193)*a^(3) - (1634935624013110588)/(51528126503914308193)*a^(2) - (165013090047863406433)/(103056253007828616386)*a - (472152730158112227)/(4684375136719482563) , (49030258325432839)/(103056253007828616386)*a^(13) - (220525469563374607)/(103056253007828616386)*a^(12) - (438216812593289559)/(103056253007828616386)*a^(11) + (898227438503477971)/(51528126503914308193)*a^(10) - (2464024509394090)/(4684375136719482563)*a^(9) + (2432284877006422183)/(51528126503914308193)*a^(8) + (14698042972768175545)/(103056253007828616386)*a^(7) - (89517834541407265271)/(103056253007828616386)*a^(6) - (37095340181702394847)/(51528126503914308193)*a^(5) + (119660788172988302734)/(51528126503914308193)*a^(4) + (89678486492589142700)/(51528126503914308193)*a^(3) - (1202051214483238489)/(1451496521237022766)*a^(2) - (43066909320238700247)/(103056253007828616386)*a + (4046351570029474916)/(4684375136719482563) , (34093891108073370)/(51528126503914308193)*a^(13) + (3504601640753139)/(51528126503914308193)*a^(12) - (295948734135184897)/(51528126503914308193)*a^(11) - (316088579144970909)/(51528126503914308193)*a^(10) - (49939776165347590)/(4684375136719482563)*a^(9) + (2112798636816997072)/(51528126503914308193)*a^(8) + (28248857884591608019)/(103056253007828616386)*a^(7) + (5811694468705134827)/(51528126503914308193)*a^(6) - (50742946316949204232)/(51528126503914308193)*a^(5) - (99657234729641388988)/(51528126503914308193)*a^(4) + (17151691351005138415)/(103056253007828616386)*a^(3) + (192931846362987587437)/(51528126503914308193)*a^(2) + (214247243465312913631)/(51528126503914308193)*a + (14561989984605506689)/(9368750273438965126) , (163529761332743801)/(103056253007828616386)*a^(13) - (927221675408020445)/(103056253007828616386)*a^(12) + (801897419249340533)/(103056253007828616386)*a^(11) + (4057174759545997259)/(103056253007828616386)*a^(10) - (601234983858599058)/(4684375136719482563)*a^(9) + (16677693962338560357)/(51528126503914308193)*a^(8) - (17968269648598491683)/(103056253007828616386)*a^(7) - (107994826548575175742)/(51528126503914308193)*a^(6) + (204134754242737356343)/(51528126503914308193)*a^(5) + (55784965882128920397)/(51528126503914308193)*a^(4) - (424141494753109706963)/(103056253007828616386)*a^(3) - (232082654290871462059)/(103056253007828616386)*a^(2) + (307236747129051010113)/(103056253007828616386)*a - (4999112690028128129)/(4684375136719482563) , (28857765602720676)/(51528126503914308193)*a^(13) - (65764509201192113)/(103056253007828616386)*a^(12) - (476865827583334501)/(103056253007828616386)*a^(11) + (250666537728952251)/(51528126503914308193)*a^(10) - (36448505217262575)/(9368750273438965126)*a^(9) + (2228600881938098337)/(103056253007828616386)*a^(8) + (9453066776821708492)/(51528126503914308193)*a^(7) - (16073764021349328777)/(51528126503914308193)*a^(6) - (36572116823533879319)/(51528126503914308193)*a^(5) + (85547092881658034115)/(103056253007828616386)*a^(4) + (114496356727944550085)/(103056253007828616386)*a^(3) - (32139498154754436507)/(103056253007828616386)*a^(2) - (25276773470568967351)/(51528126503914308193)*a + (3371899284437378935)/(9368750273438965126) ], 6632.36500949, [[x^2 - x - 124, 1], [x^7 - x^6 - x^5 + x^4 - x^3 - x^2 + 2*x + 1, 1]]]