/* 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 - 3*x^12 + 8*x^11 - 23*x^10 - 10*x^9 + 14*x^8 + 98*x^7 + 269*x^6 + 309*x^5 + 121*x^4 + 175*x^3 - 28*x^2 + 245*x + 49, 13, 2, [1, 6], 489163986649360075249, [7, 401], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, 1/7*a^9 - 1/7*a^8 - 2/7*a^7 + 2/7*a^6 + 3/7*a^5 - 3/7*a^4 - 2/7*a^3 + 2/7*a^2, 1/7*a^10 - 3/7*a^8 - 2/7*a^6 + 2/7*a^4 + 2/7*a^2, 1/427*a^11 - 29/427*a^10 - 16/427*a^9 - 103/427*a^8 + 171/427*a^7 + 123/427*a^6 + 75/427*a^5 - 19/427*a^4 + 14/61*a^3 - 4/61*a^2 - 27/61*a + 28/61, 1/675202881395*a^12 - 11723827/11068899695*a^11 - 5377361124/675202881395*a^10 + 6819782229/96457554485*a^9 - 142788197757/675202881395*a^8 + 21593619867/675202881395*a^7 + 7545472259/135040576279*a^6 + 56710326179/675202881395*a^5 - 6154245252/675202881395*a^4 + 182041008699/675202881395*a^3 + 310567263429/675202881395*a^2 + 25170688678/96457554485*a + 9180320618/96457554485], 0, 1, [], 0, [ (891455154)/(135040576279)*a^(12) - (3695655077)/(135040576279)*a^(11) + (9704245729)/(135040576279)*a^(10) - (25456654394)/(135040576279)*a^(9) + (3598843541)/(135040576279)*a^(8) + (52722139079)/(135040576279)*a^(7) + (28245553339)/(135040576279)*a^(6) + (139888866884)/(135040576279)*a^(5) + (5929856411)/(19291510897)*a^(4) - (39719962448)/(19291510897)*a^(3) + (31939281675)/(19291510897)*a^(2) - (38051808218)/(19291510897)*a + (8806762064)/(19291510897) , (2086741886)/(96457554485)*a^(12) - (44674217509)/(675202881395)*a^(11) + (106099209507)/(675202881395)*a^(10) - (297509607124)/(675202881395)*a^(9) - (245666695199)/(675202881395)*a^(8) + (531283845619)/(675202881395)*a^(7) + (44023894055)/(19291510897)*a^(6) + (54518650108)/(11068899695)*a^(5) + (3522895265711)/(675202881395)*a^(4) - (1381062536137)/(675202881395)*a^(3) - (1500239995637)/(675202881395)*a^(2) - (67729049404)/(96457554485)*a + (275490411451)/(96457554485) , (13681497061)/(675202881395)*a^(12) - (44072363257)/(675202881395)*a^(11) + (14612849648)/(96457554485)*a^(10) - (278529739312)/(675202881395)*a^(9) - (220588775387)/(675202881395)*a^(8) + (644503264262)/(675202881395)*a^(7) + (261364033257)/(135040576279)*a^(6) + (385724500217)/(96457554485)*a^(5) + (2068779394923)/(675202881395)*a^(4) - (32384661586)/(11068899695)*a^(3) + (207098360787)/(96457554485)*a^(2) + (276592087958)/(96457554485)*a - (34585685662)/(96457554485) , (8454489937)/(675202881395)*a^(12) - (25227590644)/(675202881395)*a^(11) + (63729384142)/(675202881395)*a^(10) - (180443817179)/(675202881395)*a^(9) - (118783113144)/(675202881395)*a^(8) + (203827809069)/(675202881395)*a^(7) + (170991624154)/(135040576279)*a^(6) + (2113635577168)/(675202881395)*a^(5) + (2327914974716)/(675202881395)*a^(4) + (220960128908)/(675202881395)*a^(3) + (569008799493)/(675202881395)*a^(2) - (41301999189)/(96457554485)*a + (155032519946)/(96457554485) , (31918681281)/(675202881395)*a^(12) - (139699543632)/(675202881395)*a^(11) + (384361175801)/(675202881395)*a^(10) - (1024394768857)/(675202881395)*a^(9) + (474584255818)/(675202881395)*a^(8) + (1445901405117)/(675202881395)*a^(7) + (244400338288)/(135040576279)*a^(6) + (573214672702)/(96457554485)*a^(5) + (4105263668)/(11068899695)*a^(4) - (6911404108026)/(675202881395)*a^(3) + (1147245289212)/(96457554485)*a^(2) - (240365907102)/(96457554485)*a - (90960130792)/(96457554485) , (76055023696)/(675202881395)*a^(12) - (259279467182)/(675202881395)*a^(11) + (718220812646)/(675202881395)*a^(10) - (2038547955202)/(675202881395)*a^(9) + (35240303713)/(675202881395)*a^(8) + (163839753796)/(96457554485)*a^(7) + (1293735605227)/(135040576279)*a^(6) + (18031189495089)/(675202881395)*a^(5) + (2468971081079)/(96457554485)*a^(4) + (3822646370679)/(675202881395)*a^(3) + (14390393186459)/(675202881395)*a^(2) - (968825843762)/(96457554485)*a + (2661038614618)/(96457554485) ], 297132.5632297882, []]