/* 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 - 4*x^19 + 4*x^16 - 4*x^15 + x^14 - 6*x^13 + 7*x^12 - 3*x^11 + 12*x^10 + 2*x^9 + 18*x^8 + 4*x^7 + 13*x^6 + 5*x^5 + 6*x^4 + x^3 + 4*x^2 - x + 1, 22, 47, [0, 11], -110395262036162513388217347, [3, 971, 25709231], [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, 1/2*a^19 - 1/2*a^17 - 1/2*a^16 - 1/2*a^15 - 1/2*a^12 - 1/2*a^11 - 1/2*a^10 - 1/2*a^9 - 1/2*a^8 - 1/2*a^5 - 1/2, 1/2*a^20 - 1/2*a^18 - 1/2*a^17 - 1/2*a^16 - 1/2*a^13 - 1/2*a^12 - 1/2*a^11 - 1/2*a^10 - 1/2*a^9 - 1/2*a^6 - 1/2*a, 1/3835646*a^21 + 160649/3835646*a^20 - 21455/1917823*a^19 - 396366/1917823*a^18 + 1433247/3835646*a^17 + 810696/1917823*a^16 - 1798625/3835646*a^15 - 423157/3835646*a^14 - 297417/1917823*a^13 - 120651/3835646*a^12 + 974569/3835646*a^11 - 1780973/3835646*a^10 - 553605/1917823*a^9 + 150493/3835646*a^8 + 473237/3835646*a^7 - 1288549/3835646*a^6 - 47137/3835646*a^5 - 473352/1917823*a^4 + 74328/1917823*a^3 + 705749/3835646*a^2 + 10991/3835646*a - 621825/3835646], 0, 1, [], 1, [ (421412)/(1917823)*a^(21) + (2446799)/(3835646)*a^(20) + (364147)/(1917823)*a^(19) - (4296251)/(3835646)*a^(18) - (9956951)/(3835646)*a^(17) - (2441111)/(3835646)*a^(16) + (3683206)/(1917823)*a^(15) + (3416148)/(1917823)*a^(14) - (8014255)/(3835646)*a^(13) - (10336433)/(3835646)*a^(12) - (3858929)/(3835646)*a^(11) + (12178295)/(3835646)*a^(10) + (12250353)/(3835646)*a^(9) + (10574267)/(1917823)*a^(8) + (14432927)/(1917823)*a^(7) + (41224701)/(3835646)*a^(6) + (16055774)/(1917823)*a^(5) + (12292642)/(1917823)*a^(4) + (11240915)/(1917823)*a^(3) + (6613686)/(1917823)*a^(2) + (9982609)/(3835646)*a + (2982174)/(1917823) , (3638966)/(1917823)*a^(21) - (6064864)/(1917823)*a^(20) - (6553692)/(1917823)*a^(19) - (15987078)/(1917823)*a^(18) + (27043217)/(1917823)*a^(17) + (28997225)/(1917823)*a^(16) + (20701765)/(1917823)*a^(15) - (51109369)/(1917823)*a^(14) - (10594464)/(1917823)*a^(13) - (9174414)/(1917823)*a^(12) + (77219558)/(1917823)*a^(11) - (10519133)/(1917823)*a^(10) + (18357203)/(1917823)*a^(9) - (77913801)/(1917823)*a^(8) - (19645554)/(1917823)*a^(7) - (113972395)/(1917823)*a^(6) - (61221558)/(1917823)*a^(5) - (74651801)/(1917823)*a^(4) - (42642551)/(1917823)*a^(3) - (36876686)/(1917823)*a^(2) + (1594464)/(1917823)*a - (14374294)/(1917823) , (3680737)/(3835646)*a^(21) - (19482923)/(3835646)*a^(20) - (7685956)/(1917823)*a^(19) - (8031766)/(1917823)*a^(18) + (84057753)/(3835646)*a^(17) + (33299836)/(1917823)*a^(16) + (21052915)/(3835646)*a^(15) - (119267453)/(3835646)*a^(14) - (1209699)/(1917823)*a^(13) + (10329739)/(3835646)*a^(12) + (166450117)/(3835646)*a^(11) - (51462429)/(3835646)*a^(10) - (2811969)/(1917823)*a^(9) - (237473801)/(3835646)*a^(8) - (143722983)/(3835646)*a^(7) - (367402815)/(3835646)*a^(6) - (227427565)/(3835646)*a^(5) - (124218109)/(1917823)*a^(4) - (78097603)/(1917823)*a^(3) - (118358929)/(3835646)*a^(2) - (14920579)/(3835646)*a - (48152471)/(3835646) , (3780282)/(1917823)*a^(21) - (15876731)/(3835646)*a^(20) - (8184749)/(1917823)*a^(19) - (33732805)/(3835646)*a^(18) + (70238885)/(3835646)*a^(17) + (72548397)/(3835646)*a^(16) + (22964747)/(1917823)*a^(15) - (61831956)/(1917823)*a^(14) - (25865659)/(3835646)*a^(13) - (17371497)/(3835646)*a^(12) + (186017163)/(3835646)*a^(11) - (23421153)/(3835646)*a^(10) + (32998773)/(3835646)*a^(9) - (104433782)/(1917823)*a^(8) - (41187548)/(1917823)*a^(7) - (304840093)/(3835646)*a^(6) - (84848447)/(1917823)*a^(5) - (102426953)/(1917823)*a^(4) - (58346981)/(1917823)*a^(3) - (49225232)/(1917823)*a^(2) + (806157)/(3835646)*a - (19299603)/(1917823) , (6176957)/(3835646)*a^(21) - (1847213)/(3835646)*a^(20) - (1207489)/(1917823)*a^(19) - (12211294)/(1917823)*a^(18) + (8364673)/(3835646)*a^(17) + (4778949)/(1917823)*a^(16) + (22917317)/(3835646)*a^(15) - (36969133)/(3835646)*a^(14) + (2412852)/(1917823)*a^(13) - (24542021)/(3835646)*a^(12) + (58383939)/(3835646)*a^(11) - (23374313)/(3835646)*a^(10) + (27965740)/(1917823)*a^(9) - (6867821)/(3835646)*a^(8) + (91660483)/(3835646)*a^(7) - (8778545)/(3835646)*a^(6) + (39022211)/(3835646)*a^(5) - (2278347)/(1917823)*a^(4) + (3622811)/(1917823)*a^(3) - (18399861)/(3835646)*a^(2) + (11507125)/(3835646)*a - (16409877)/(3835646) , (3124514)/(1917823)*a^(21) - (28460107)/(3835646)*a^(20) - (11314571)/(1917823)*a^(19) - (27381213)/(3835646)*a^(18) + (123113987)/(3835646)*a^(17) + (98247375)/(3835646)*a^(16) + (17607048)/(1917823)*a^(15) - (89507418)/(1917823)*a^(14) - (4029283)/(3835646)*a^(13) + (11867877)/(3835646)*a^(12) + (251896909)/(3835646)*a^(11) - (79438519)/(3835646)*a^(10) - (637913)/(3835646)*a^(9) - (172715277)/(1917823)*a^(8) - (96038863)/(1917823)*a^(7) - (534533897)/(3835646)*a^(6) - (164014088)/(1917823)*a^(5) - (183270177)/(1917823)*a^(4) - (112950743)/(1917823)*a^(3) - (86145564)/(1917823)*a^(2) - (22942227)/(3835646)*a - (34985316)/(1917823) , (5448663)/(3835646)*a^(21) - (461129)/(1917823)*a^(20) - (2245223)/(3835646)*a^(19) - (21981477)/(3835646)*a^(18) + (4369557)/(3835646)*a^(17) + (4570751)/(1917823)*a^(16) + (10993600)/(1917823)*a^(15) - (29242845)/(3835646)*a^(14) - (96393)/(3835646)*a^(13) - (22121195)/(3835646)*a^(12) + (48907077)/(3835646)*a^(11) - (13475611)/(3835646)*a^(10) + (23565028)/(1917823)*a^(9) - (339422)/(1917823)*a^(8) + (80292843)/(3835646)*a^(7) + (1329339)/(1917823)*a^(6) + (16915660)/(1917823)*a^(5) - (1130224)/(1917823)*a^(4) + (1540554)/(1917823)*a^(3) - (15419837)/(3835646)*a^(2) + (3033752)/(1917823)*a - (6981539)/(1917823) , (27947327)/(3835646)*a^(21) + (95094)/(1917823)*a^(20) - (6375481)/(1917823)*a^(19) - (120090815)/(3835646)*a^(18) - (188147)/(1917823)*a^(17) + (54143021)/(3835646)*a^(16) + (146933825)/(3835646)*a^(15) - (112345767)/(3835646)*a^(14) - (37117799)/(3835646)*a^(13) - (78961346)/(1917823)*a^(12) + (107594663)/(1917823)*a^(11) + (15861)/(1917823)*a^(10) + (293627685)/(3835646)*a^(9) + (33708521)/(3835646)*a^(8) + (355751747)/(3835646)*a^(7) - (1357453)/(1917823)*a^(6) + (126042219)/(3835646)*a^(5) - (8297041)/(1917823)*a^(4) + (1952682)/(1917823)*a^(3) - (79410099)/(3835646)*a^(2) + (17735538)/(1917823)*a - (43360673)/(3835646) , (18263189)/(1917823)*a^(21) + (6464810)/(1917823)*a^(20) - (7951053)/(3835646)*a^(19) - (78377667)/(1917823)*a^(18) - (54663773)/(3835646)*a^(17) + (34883969)/(3835646)*a^(16) + (192445199)/(3835646)*a^(15) - (40815723)/(1917823)*a^(14) - (30532604)/(1917823)*a^(13) - (233630837)/(3835646)*a^(12) + (197220297)/(3835646)*a^(11) + (49729445)/(3835646)*a^(10) + (413861223)/(3835646)*a^(9) + (186223789)/(3835646)*a^(8) + (285506549)/(1917823)*a^(7) + (122243604)/(1917823)*a^(6) + (344187011)/(3835646)*a^(5) + (82463445)/(1917823)*a^(4) + (64303007)/(1917823)*a^(3) - (4567565)/(1917823)*a^(2) + (40122464)/(1917823)*a - (20496851)/(3835646) , (4042825)/(1917823)*a^(21) - (6472463)/(1917823)*a^(20) - (11471685)/(3835646)*a^(19) - (16157361)/(1917823)*a^(18) + (56071467)/(3835646)*a^(17) + (48281135)/(3835646)*a^(16) + (31634333)/(3835646)*a^(15) - (51582525)/(1917823)*a^(14) + (2192694)/(1917823)*a^(13) - (12321855)/(3835646)*a^(12) + (147487547)/(3835646)*a^(11) - (53079385)/(3835646)*a^(10) + (44406809)/(3835646)*a^(9) - (134283961)/(3835646)*a^(8) + (1821017)/(1917823)*a^(7) - (106729759)/(1917823)*a^(6) - (102128233)/(3835646)*a^(5) - (74307080)/(1917823)*a^(4) - (45945885)/(1917823)*a^(3) - (42563378)/(1917823)*a^(2) + (648488)/(1917823)*a - (42753229)/(3835646) ], 18267.9467933, [[x^2 - x + 1, 1], [x^11 - 2*x^8 + 4*x^4 - x^3 - 3*x^2 + x + 1, 1]]]