/* 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^22 - 10*x^20 + 44*x^18 - 112*x^16 + 182*x^14 - 199*x^12 + 151*x^10 - 67*x^8 - 13*x^6 + 36*x^4 - 13*x^2 + 1, 22, 53, [12, 5], -10994531599582075769676214829056, [2, 1619043113033], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, a^12, a^13, a^14, a^15, a^16, a^17, a^18, a^19, 1/13*a^20 - 2/13*a^18 + 2/13*a^16 - 5/13*a^14 - 1/13*a^12 + 1/13*a^10 + 3/13*a^8 - 4/13*a^6 - 6/13*a^4 + 1/13*a^2 - 5/13, 1/13*a^21 - 2/13*a^19 + 2/13*a^17 - 5/13*a^15 - 1/13*a^13 + 1/13*a^11 + 3/13*a^9 - 4/13*a^7 - 6/13*a^5 + 1/13*a^3 - 5/13*a], 0, 1, [], 1, [ a^(2) - 1 , (37)/(13)*a^(21) - (282)/(13)*a^(19) + (906)/(13)*a^(17) - (1576)/(13)*a^(15) + (1549)/(13)*a^(13) - (860)/(13)*a^(11) + (137)/(13)*a^(9) + (580)/(13)*a^(7) - (560)/(13)*a^(5) - (93)/(13)*a^(3) + (75)/(13)*a , a^(21) - 10*a^(19) + 44*a^(17) - 112*a^(15) + 182*a^(13) - 199*a^(11) + 151*a^(9) - 67*a^(7) - 13*a^(5) + 36*a^(3) - 13*a , (53)/(13)*a^(20) - (444)/(13)*a^(18) + (1614)/(13)*a^(16) - (3333)/(13)*a^(14) + (4276)/(13)*a^(12) - (3639)/(13)*a^(10) + (2057)/(13)*a^(8) - (95)/(13)*a^(6) - (981)/(13)*a^(4) + (443)/(13)*a^(2) - (18)/(13) , a^(19) - 8*a^(17) + 28*a^(15) - 56*a^(13) + 70*a^(11) - 59*a^(9) + 33*a^(7) - a^(5) - 15*a^(3) + 6*a , (37)/(13)*a^(21) - (282)/(13)*a^(19) + (906)/(13)*a^(17) - (1576)/(13)*a^(15) + (1549)/(13)*a^(13) - (860)/(13)*a^(11) + (137)/(13)*a^(9) + (580)/(13)*a^(7) - (560)/(13)*a^(5) - (80)/(13)*a^(3) + (62)/(13)*a , (33)/(13)*a^(21) - (300)/(13)*a^(19) + (1197)/(13)*a^(17) - (2752)/(13)*a^(15) + (4010)/(13)*a^(13) - (3919)/(13)*a^(11) + (2621)/(13)*a^(9) - (769)/(13)*a^(7) - (666)/(13)*a^(5) + (683)/(13)*a^(3) - (152)/(13)*a , (2)/(13)*a^(20) - (4)/(13)*a^(18) - (35)/(13)*a^(16) + (185)/(13)*a^(14) - (405)/(13)*a^(12) + (496)/(13)*a^(10) - (410)/(13)*a^(8) + (252)/(13)*a^(6) + (1)/(13)*a^(4) - (102)/(13)*a^(2) + (3)/(13) , a - 1 , (18)/(13)*a^(21) - (140)/(13)*a^(19) + (465)/(13)*a^(17) - (857)/(13)*a^(15) + (944)/(13)*a^(13) - (671)/(13)*a^(11) + (301)/(13)*a^(9) + (110)/(13)*a^(7) - (199)/(13)*a^(5) - (34)/(13)*a^(3) + (40)/(13)*a - 1 , (34)/(13)*a^(21) - (34)/(13)*a^(20) - (276)/(13)*a^(19) + (276)/(13)*a^(18) + (965)/(13)*a^(17) - (965)/(13)*a^(16) - (1899)/(13)*a^(15) + (1899)/(13)*a^(14) + (2293)/(13)*a^(13) - (2293)/(13)*a^(12) - (1825)/(13)*a^(11) + (1825)/(13)*a^(10) + (947)/(13)*a^(9) - (947)/(13)*a^(8) + (111)/(13)*a^(7) - (111)/(13)*a^(6) - (568)/(13)*a^(5) + (568)/(13)*a^(4) + (151)/(13)*a^(3) - (151)/(13)*a^(2) - (14)/(13)*a + (1)/(13) , (16)/(13)*a^(21) + (17)/(13)*a^(20) - (110)/(13)*a^(19) - (151)/(13)*a^(18) + (305)/(13)*a^(17) + (593)/(13)*a^(16) - (418)/(13)*a^(15) - (1346)/(13)*a^(14) + (244)/(13)*a^(13) + (1933)/(13)*a^(12) + (3)/(13)*a^(11) - (1855)/(13)*a^(10) - (121)/(13)*a^(9) + (1208)/(13)*a^(8) + (261)/(13)*a^(7) - (341)/(13)*a^(6) - (70)/(13)*a^(5) - (310)/(13)*a^(4) - (166)/(13)*a^(3) + (303)/(13)*a^(2) - (28)/(13)*a - (20)/(13) , (20)/(13)*a^(21) + a^(20) - (144)/(13)*a^(19) - 9*a^(18) + (430)/(13)*a^(17) + 35*a^(16) - (672)/(13)*a^(15) - 77*a^(14) + (539)/(13)*a^(13) + 105*a^(12) - (175)/(13)*a^(11) - 94*a^(10) - (109)/(13)*a^(9) + 57*a^(8) + (362)/(13)*a^(7) - 10*a^(6) - (198)/(13)*a^(5) - 23*a^(4) - (136)/(13)*a^(3) + 13*a^(2) + (43)/(13)*a , (88)/(13)*a^(21) - (34)/(13)*a^(20) - (709)/(13)*a^(19) + (276)/(13)*a^(18) + (2464)/(13)*a^(17) - (965)/(13)*a^(16) - (4821)/(13)*a^(15) + (1899)/(13)*a^(14) + (5775)/(13)*a^(13) - (2293)/(13)*a^(12) - (4540)/(13)*a^(11) + (1825)/(13)*a^(10) + (2292)/(13)*a^(9) - (947)/(13)*a^(8) + (350)/(13)*a^(7) - (111)/(13)*a^(6) - (1425)/(13)*a^(5) + (555)/(13)*a^(4) + (348)/(13)*a^(3) - (138)/(13)*a^(2) + (41)/(13)*a + (1)/(13) , (41)/(13)*a^(21) + (47)/(13)*a^(20) - (316)/(13)*a^(19) - (393)/(13)*a^(18) + (1031)/(13)*a^(17) + (1420)/(13)*a^(16) - (1830)/(13)*a^(15) - (2900)/(13)*a^(14) + (1844)/(13)*a^(13) + (3658)/(13)*a^(12) - (1038)/(13)*a^(11) - (3047)/(13)*a^(10) + (149)/(13)*a^(9) + (1688)/(13)*a^(8) + (681)/(13)*a^(7) - (19)/(13)*a^(6) - (688)/(13)*a^(5) - (854)/(13)*a^(4) - (63)/(13)*a^(3) + (307)/(13)*a^(2) + (133)/(13)*a - (1)/(13) , (37)/(13)*a^(21) - (68)/(13)*a^(20) - (282)/(13)*a^(19) + (578)/(13)*a^(18) + (906)/(13)*a^(17) - (2138)/(13)*a^(16) - (1576)/(13)*a^(15) + (4513)/(13)*a^(14) + (1549)/(13)*a^(13) - (5964)/(13)*a^(12) - (860)/(13)*a^(11) + (5275)/(13)*a^(10) + (137)/(13)*a^(9) - (3168)/(13)*a^(8) + (580)/(13)*a^(7) + (441)/(13)*a^(6) - (560)/(13)*a^(5) + (1214)/(13)*a^(4) - (93)/(13)*a^(3) - (666)/(13)*a^(2) + (62)/(13)*a + (67)/(13) ], 32432175.4537, [[x^11 - x^10 - x^9 + x^8 + 3*x^6 - 7*x^5 - 7*x^4 + 8*x^3 + 5*x^2 - 2*x - 1, 1]]]